{"id":57378,"date":"2022-03-03T17:31:03","date_gmt":"2022-03-04T01:31:03","guid":{"rendered":"https:\/\/origin.getmoremath.com\/?page_id=57378"},"modified":"2023-10-19T00:08:13","modified_gmt":"2023-10-19T00:08:13","slug":"algebra2","status":"publish","type":"page","link":"https:\/\/getmoremath.com\/algebra2\/","title":{"rendered":"Algebra 2 Skills"},"content":{"rendered":"\n

Algebra 2 Skills<\/strong><\/h2>\n\n\n\n

VIEW ALL SKILLS<\/a><\/p>\n\n\n\n

\n
    \n
  • \n
    \n Algebra Foundations\n <\/div>\n
      \n
    • \n
      \n Real Number System & Properties\n <\/div>\n
        \n
      • \n Determine relationships between subsets of real numbers\n <\/li>\n
      • \n Determine relationships between subsets of rational numbers\n <\/li>\n
      • \n Determine result of adding & multiplying rational & irrational numbers\n <\/li>\n
      • \n Order real numbers, no exponents\n <\/li>\n
      • \n Order real numbers, positive exponents, percents are whole, including real-world context\n <\/li>\n
      • \n Order real numbers, positive exponents, percents are whole, including real-world context\n <\/li>\n
      • \n Order irrational numbers\n <\/li>\n
      • \n Comparing expressions on given interval\n <\/li>\n
      • \n Compare irrational numbers\n <\/li>\n
      • \n Condensed: Compare & order irrational numbers\n <\/li>\n <\/ul>\n <\/li>\n
      • \n
        \n Expressions & Operations\n <\/div>\n
          \n
        • \n
          \n Evaluating Expressions\n <\/div>\n
            \n
          • \n Evaluate expressions for specified value, one variable, two terms\n <\/li>\n
          • \n Evaluate expressions for specified value, one variable, two terms, multiple operations, including absolute value & powers\n <\/li>\n
          • \n Evaluate expressions for specified value, one variable, two terms, multiple operations, including powers of absolute values\n <\/li>\n
          • \n Evaluate expressions for specified values, two variables, two terms\n <\/li>\n
          • \n Evaluate expressions for specified values, two variables, multiple operations, including absolute value & powers\n <\/li>\n
          • \n Evaluate expressions for specified values, two variables, two terms, one term with three factors\n <\/li>\n
          • \n Evaluate expressions for specified values, two variables, quotient of expressions\n <\/li>\n
          • \n Identify values that solve inequalities, expression on left side\n <\/li>\n
          • \n Identify values that solve inequalities, expression on right side\n <\/li>\n <\/ul>\n <\/li>\n
          • \n
            \n Simplifying Expressions, One Variable\n <\/div>\n
              \n
            • \n Simplify algebraic expressions, one variable, distribute once, fraction multiplier\n <\/li>\n
            • \n Simplify algebraic expressions, one variable, distribute once, decimal multiplier\n <\/li>\n
            • \n Condensed: Simplify algebraic expressions, one variable, distribute once, including fraction & decimal multipliers\n <\/li>\n
            • \n Simplify algebraic expressions, one variable, distribute once, including rationals\n <\/li>\n
            • \n Simplify algebraic expressions, one variable, distribute once & combine like terms\n <\/li>\n
            • \n Simplify algebraic expressions, one variable, distribute once & product of two factors\n <\/li>\n
            • \n Simplify algebraic expressions, one variable, distribute once & subtract from constant or variable term\n <\/li>\n
            • \n Simplify algebraic expressions, one variable, distribute once, three or four grouped terms\n <\/li>\n
            • \n Simplify algebraic expressions, one variable, distribute twice\n <\/li>\n
            • \n Condensed: Simplify algebraic expressions, one variable, distribute once, including variable multipliers\n <\/li>\n
            • \n Condensed: Simplify algebraic expressions, one variable, distribute once, including combine like terms & product of two factors\n <\/li>\n <\/ul>\n <\/li>\n
            • \n
              \n Simplifying Expressions, Two Variable\n <\/div>\n
                \n
              • \n Simplify algebraic expressions, two variables, positive integer coefficients\n <\/li>\n
              • \n Simplify algebraic expressions, two variables, distribute twice\n <\/li>\n <\/ul>\n <\/li>\n
              • \n
                \n Identifying Equivalent Expressions\n <\/div>\n
                  \n
                • \n Identify equivalent expressions involving distribution\n <\/li>\n
                • \n Identify equivalent expressions involving distribution, two or more terms\n <\/li>\n
                • \n Identify equivalent numerical & algebraic expressions, including distribution, including real-world context\n <\/li>\n <\/ul>\n <\/li>\n <\/ul>\n <\/li>\n
                • \n
                  \n Equations\n <\/div>\n
                    \n
                  • \n
                    \n Solving Equations\n <\/div>\n
                      \n
                    • \n Determine number of solutions in linear equations, distribute at most one time\n <\/li>\n
                    • \n Determine number of solutions in linear equations, distribute up to two times\n <\/li>\n
                    • \n Condensed: Determine number of solutions in linear equations\n <\/li>\n
                    • \n Condensed: Solve linear equations, variables on both sides or like terms\n <\/li>\n
                    • \n Solve linear equations, distributive property & additional term on one side\n <\/li>\n
                    • \n Solve linear equations, term minus distributive property on one side\n <\/li>\n
                    • \n Solve linear equations, distributive property & additional term on one side & binomial on other side\n <\/li>\n
                    • \n Solve linear equations, including no solution & infinitely many solutions\n <\/li>\n
                    • \n Condensed: Solve linear equations involving distributive property on one side\n <\/li>\n
                    • \n Solve linear equations, distributive property on both sides, rationals\n <\/li>\n
                    • \n Solve linear equations, distributive property on both sides, additional term on one side\n <\/li>\n <\/ul>\n <\/li>\n
                    • \n
                      \n Solving for Specified Variable\n <\/div>\n
                        \n
                      • \n Given linear equation of form ay = bx, solve for y\n <\/li>\n
                      • \n Given linear equation of form ay = bx + c, solve for y\n <\/li>\n
                      • \n Given linear equation of form a + by = cx, solve for y\n <\/li>\n
                      • \n Given linear equation in standard form, solve for y\n <\/li>\n
                      • \n Given linear equation with two terms on each side, solve for specified variable\n <\/li>\n
                      • \n Given linear equation with three terms on one side, solve for specified variable\n <\/li>\n
                      • \n Condensed: Given linear equation in various forms, solve for specified variable\n <\/li>\n
                      • \n Solve literal equation for variable\n <\/li>\n
                      • \n Solve literal equation for variable, variable may appear twice, linear terms\n <\/li>\n
                      • \n Solve for specific variable in mathematical formula\n <\/li>\n
                      • \n Solve for specific variable in scientific formula\n <\/li>\n <\/ul>\n <\/li>\n
                      • \n
                        \n Application of Equations\n <\/div>\n
                          \n
                        • \n Solve problems that can be represented by two-step equations, real-world context\n <\/li>\n
                        • \n Determine equations or identify real-world situations represented by one-step or two-step equations \n <\/li>\n
                        • \n Determine linear equations & solve problems that can be represented by equations with distributive property on one side, real-world context\n <\/li>\n
                        • \n Determine equations with variables on both sides, real-world context\n <\/li>\n
                        • \n Determine & solve linear equations with variables on both sides, real-world context\n <\/li>\n
                        • \n Given equation with variables on both sides, identify real-world situation represented by equation\n <\/li>\n <\/ul>\n <\/li>\n
                        • \n
                          \n Literal Equations\n <\/div>\n
                            \n
                          • \n Solve literal equation for variable\n <\/li>\n
                          • \n Solve literal equation for variable, variable may appear twice, linear terms\n <\/li>\n
                          • \n Determine how change to one variable affects another variable\n <\/li>\n <\/ul>\n <\/li>\n <\/ul>\n <\/li>\n
                          • \n
                            \n Inequalities\n <\/div>\n
                              \n
                            • \n
                              \n Solving Inequalities Algebraically\n <\/div>\n
                                \n
                              • \n Condensed: Given linear inequalities & graphs, determine solutions & non-solutions\n <\/li>\n
                              • \n Given linear inequality & x-value, determine y-value\n <\/li>\n
                              • \n Solve linear programming problems, real-world context\n <\/li>\n
                              • \n Given description, determine linear inequality in standard form, graph, & determine specific solutions, real-world context\n <\/li>\n
                              • \n Given description, determine linear inequalities in standard form, including tables, real-world context\n <\/li>\n
                              • \n Given description, determine linear inequalities in standard form & specific solutions, real-world context\n <\/li>\n
                              • \n Given description, determine linear inequality in various forms, graph, & determine specific solutions, real-world context\n <\/li>\n <\/ul>\n <\/li>\n
                              • \n
                                \n Solving Inequalities Graphically\n <\/div>\n
                                  \n
                                • \n Graph linear inequalities, slope-intercept form, only oblique lines\n <\/li>\n
                                • \n Graph linear inequalities, vertical & horizontal lines\n <\/li>\n
                                • \n Graph linear inequalities, slope-intercept form, including vertical & horizontal lines\n <\/li>\n
                                • \n Given linear inequality, identify correct graph, slope-intercept form\n <\/li>\n
                                • \n Given linear inequality, determine graph, slope-intercept form\n <\/li>\n
                                • \n Condensed: Determine equivalent linear inequalities & graphical solutions\n <\/li>\n
                                • \n Given description & table, graph linear inequality, real-world context\n <\/li>\n
                                • \n Graph linear inequalities, various forms\n <\/li>\n
                                • \n Condensed: Graph linear equations or inequalities\n <\/li>\n
                                • \n Given description & graph, determine system of linear inequalities in standard form & shaded region, real-world context\n <\/li>\n <\/ul>\n <\/li>\n
                                • \n
                                  \n Solving Inequalities, Given Graph\n <\/div>\n
                                    \n
                                  • \n Given linear inequality graph, determine solutions & non-solutions\n <\/li>\n
                                  • \n Given graph, determine linear inequality\n <\/li>\n
                                  • \n Determine equivalent systems of linear inequalities & graphical solutions\n <\/li>\n
                                  • \n Condensed: Determine points that are solutions to linear equations or inequalities\n <\/li>\n <\/ul>\n <\/li>\n
                                  • \n
                                    \n Writing Inequalities\n <\/div>\n
                                      \n
                                    • \n Given graph, identify linear inequality, slope-intercept form\n <\/li>\n
                                    • \n Given graph, determine inequalities in standard form, real-world context\n <\/li>\n <\/ul>\n <\/li>\n
                                    • \n
                                      \n Compound Inequalities\n <\/div>\n
                                        \n
                                      • \n Solve compound inequalities, “and” solutions, multiple choice\n <\/li>\n
                                      • \n Solve & graph compound inequalities, “and” solutions\n <\/li>\n
                                      • \n Solve & graph compound inequalities, “and” solutions, including real-world context\n <\/li>\n
                                      • \n Solve & graph compound inequalities, “or” solutions\n <\/li>\n
                                      • \n Condensed: Solve & graph compound inequalities\n <\/li>\n
                                      • \n Given description, determine compound inequality, graph, & possible solutions\n <\/li>\n
                                      • \n Given description, determine graph of inequality\n <\/li>\n <\/ul>\n <\/li>\n <\/ul>\n <\/li>\n
                                      • \n
                                        \n Systems of Equations\n <\/div>\n
                                          \n
                                        • \n
                                          \n Solving Systems of Equations, Graphing\n <\/div>\n
                                            \n
                                          • \n Given system of linear equations, determine point of intersection, slope-intercept form\n <\/li>\n
                                          • \n Given system of linear equations, graph & determine point of intersection, slope-intercept form\n <\/li>\n
                                          • \n Given system of linear equations, graph system, including tables\n <\/li>\n
                                          • \n Given description of system of linear equations, graph & determine equations or tables\n <\/li>\n
                                          • \n Given graph of system of linear equations, determine equations in slope-intercept form\n <\/li>\n
                                          • \n Given graph of system of linear equations, determine solution, rays on graph to establish pattern\n <\/li>\n <\/ul>\n <\/li>\n
                                          • \n
                                            \n Solving Systems of Equations, Substitution\n <\/div>\n
                                              \n
                                            • \n Given system of linear equations with same isolated variable, determine point of intersection, integer coordinates\n <\/li>\n
                                            • \n Given system of linear equations, determine point of intersection, integer coordinates, one horizontal or vertical & one slope-intercept form\n <\/li>\n
                                            • \n Given system of linear equations, determine point of intersection, integer coordinates, one equation in standard form\n <\/li>\n
                                            • \n Solve systems of linear equations, infinite possibilities or no solution\n <\/li>\n
                                            • \n Condensed: Given system of linear equations, determine solution, substitution bias\n <\/li>\n
                                            • \n Determine solutions of linear equations, substitution bias, including given system, real-world context\n <\/li>\n
                                            • \n Determine systems of linear equations & solutions, substitution bias, real-world context\n <\/li>\n
                                            • \n Condensed: Solve or determine system of equations, likely to have same variable isolated\n <\/li>\n
                                            • \n Solve, interpret, or determine systems of linear equations, slope-intercept form, real-word context\n <\/li>\n
                                            • \n Solve, interpret, or determine systems of linear equations, standard form, real-word context\n <\/li>\n <\/ul>\n <\/li>\n
                                            • \n
                                              \n Solving Systems of Equations, Elimination\n <\/div>\n
                                                \n
                                              • \n Given system of linear equations in standard form, determine point of intersection, integer coordinates\n <\/li>\n
                                              • \n Solve systems of linear equations, multiply at most one equation\n <\/li>\n
                                              • \n Solve systems of linear equations, multiply one or both equations\n <\/li>\n
                                              • \n Determine systems of linear equations & solutions, elimination bias, real-world context\n <\/li>\n
                                              • \n Condensed: Solve or determine system of equations, both equations in standard form\n <\/li>\n <\/ul>\n <\/li>\n
                                              • \n
                                                \n Solving Systems of Equations, Mixed Methods\n <\/div>\n
                                                  \n
                                                • \n Given system of linear equations, determine point of intersection, at least one equation with variables on both sides\n <\/li>\n
                                                • \n Determine system of two equations, one linear & one quadratic\n <\/li>\n
                                                • \n Condensed: Determine systems of linear equations & solutions\n <\/li>\n
                                                • \n Solve systems of two equations, algebraic, one linear & one quadratic\n <\/li>\n
                                                • \n Solve systems of two equations, graphical, one linear & one quadratic\n <\/li>\n
                                                • \n Condensed: Solve systems of two equations, one linear & one quadratic\n <\/li>\n <\/ul>\n <\/li>\n
                                                • \n
                                                  \n Determining Solution to System of Equations\n <\/div>\n
                                                    \n
                                                  • \n Given system of linear equations, identify solution or x- or y-value of solution\n <\/li>\n
                                                  • \n Given system of linear equations, identify x- or y-value of solution\n <\/li>\n
                                                  • \n Given system of linear equations, identify solution\n <\/li>\n
                                                  • \n Given tables, determine system of linear equations\n <\/li>\n
                                                  • \n Determine reasonableness of solutions to systems of linear & quadratic equations\n <\/li>\n <\/ul>\n <\/li>\n
                                                  • \n
                                                    \n Application of Determining Solution to System of Equations\n <\/div>\n
                                                      \n
                                                    • \n Given table representing system of linear equations, determine solution, real-world context\n <\/li>\n
                                                    • \n Given system of linear equations & description, identify solution, real-world context\n <\/li>\n
                                                    • \n Condensed: Given system of linear equations, identify solution, including real-world context\n <\/li>\n
                                                    • \n Determine systems of linear equations & solutions, real-world context\n <\/li>\n
                                                    • \n Determine & justify solutions to systems of linear equations, real-world context\n <\/li>\n
                                                    • \n Condensed: Determine systems of linear equations & solutions, including real-world context\n <\/li>\n
                                                    • \n Given graph of system of linear equations, identify specific domain value, real-world context\n <\/li>\n
                                                    • \n Graph systems of linear equations & determine solutions, including real-world context\n <\/li>\n <\/ul>\n <\/li>\n
                                                    • \n
                                                      \n Solving Systems of Equations, Three Equations\n <\/div>\n
                                                        \n
                                                      • \n Solve systems of three linear equations using substitution\n <\/li>\n
                                                      • \n Solve systems of three linear equations using Gaussian elimination\n <\/li>\n
                                                      • \n Solve systems of three linear equations using matrices\n <\/li>\n
                                                      • \n Condensed: Solve systems of three linear equations\n <\/li>\n
                                                      • \n Determine system of three linear equations, real-world context\n <\/li>\n <\/ul>\n <\/li>\n <\/ul>\n <\/li>\n
                                                      • \n
                                                        \n Systems of Inequalities\n <\/div>\n
                                                          \n
                                                        • \n
                                                          \n Solving Systems of Inequalities Graphically\n <\/div>\n
                                                            \n
                                                          • \n Given graph, determine solution of systems of linear inequalities\n <\/li>\n
                                                          • \n Given linear system of inequalities graph, identify true statements\n <\/li>\n
                                                          • \n Graph systems of two linear inequalities, slope-intercept form\n <\/li>\n
                                                          • \n Condensed: Determine graphs of linear inequalities or system of linear inequalities\n <\/li>\n
                                                          • \n Solve systems of linear inequalities\n <\/li>\n
                                                          • \n Graph systems of three linear inequalities, slope-intercept form\n <\/li>\n
                                                          • \n Given description of system of linear inequalities, identify graph of system\n <\/li>\n <\/ul>\n <\/li>\n
                                                          • \n
                                                            \n Application of Solving Systems of Inequalities Graphically\n <\/div>\n
                                                              \n
                                                            • \n Condensed: Graph system of linear inequalities & determine system of linear inequalities, including real-world context\n <\/li>\n
                                                            • \n Given description, determine system of linear inequalities in standard form & identify graph, real-world context\n <\/li>\n
                                                            • \n Given description, determine system of linear inequalities in standard form & graph, real-world context\n <\/li>\n
                                                            • \n Given description & graph, determine system of linear inequalities in standard form & shaded region, including three inequalities, real-world context\n <\/li>\n
                                                            • \n Condensed: Given description, determine system of linear inequalities in standard form, shaded region, & true statements, real-world context\n <\/li>\n
                                                            • \n Condensed: Given description, determine system of linear inequalities in standard form & shaded region & determine solution points, real-world context\n <\/li>\n <\/ul>\n <\/li>\n
                                                            • \n
                                                              \n Solving Systems of Inequalities Algebraically\n <\/div>\n
                                                                \n
                                                              • \n Given description, determine system of linear inequalities in standard form & solution point, real-world context\n <\/li>\n
                                                              • \n Given description, determine system of linear inequalities in standard form & identify solution point, including three inequalities, real-world context\n <\/li>\n
                                                              • \n Condensed: Given description, determine system of linear inequalities in standard form & determine solution points, real-world context\n <\/li>\n <\/ul>\n <\/li>\n <\/ul>\n <\/li>\n
                                                              • \n
                                                                \n Functions\n <\/div>\n
                                                                  \n
                                                                • \n
                                                                  \n Identifying Functions\n <\/div>\n
                                                                    \n
                                                                  • \n Determine functions, set & table representations\n <\/li>\n
                                                                  • \n Identify & determine functions, set & table representations\n <\/li>\n
                                                                  • \n Determine functions, mapping representations\n <\/li>\n
                                                                  • \n Determine functions, graphical representations\n <\/li>\n
                                                                  • \n Given step graphs, identify functions\n <\/li>\n
                                                                  • \n Identify functions, description representations\n <\/li>\n
                                                                  • \n Given relation & additional point, determine functions, multiple representations\n <\/li>\n <\/ul>\n <\/li>\n
                                                                  • \n
                                                                    \n Identifying & Justifying Functions\n <\/div>\n
                                                                      \n
                                                                    • \n Determine & justify functions, set representations\n <\/li>\n
                                                                    • \n Determine & justify functions, table representations\n <\/li>\n
                                                                    • \n Identify & determine functions, set & table representations\n <\/li>\n
                                                                    • \n Determine & justify functions, mapping representations\n <\/li>\n
                                                                    • \n Identify functions using equivalent mapping diagrams & sets of ordered pairs\n <\/li>\n
                                                                    • \n Determine & justify functions, graphical representations\n <\/li>\n
                                                                    • \n Identify & justify functions & non-functions, graphical representations\n <\/li>\n
                                                                    • \n Identify functions, multiple representations, including justification\n <\/li>\n
                                                                    • \n Condensed: Identify, justify, & determine functions\n <\/li>\n <\/ul>\n <\/li>\n
                                                                    • \n
                                                                      \n Identifying & Justifying Functions, No Domain & Range Language\n <\/div>\n
                                                                        \n
                                                                      • \n Determine & justify functions, set representations, no domain & range language\n <\/li>\n
                                                                      • \n Determine & justify functions, table representations, no domain & range language\n <\/li>\n
                                                                      • \n Determine & justify functions, mapping representations, no domain & range language\n <\/li>\n
                                                                      • \n Determine functions, multiple representations, including justification, no domain & range language\n <\/li>\n <\/ul>\n <\/li>\n
                                                                      • \n
                                                                        \n Function Notation\n <\/div>\n
                                                                          \n
                                                                        • \n Given linear function, determine function value\n <\/li>\n
                                                                        • \n Given quadratic function, determine function value\n <\/li>\n
                                                                        • \n Condensed: Given linear or quadratic function, determine function value\n <\/li>\n
                                                                        • \n Given graph, determine function value\n <\/li>\n
                                                                        • \n Condensed: Given graph or linear function, determine function value\n <\/li>\n
                                                                        • \n Interpret & solve problems involving function notation, real-world context\n <\/li>\n <\/ul>\n <\/li>\n <\/ul>\n <\/li>\n <\/ul>\n <\/li>\n
                                                                        • \n
                                                                          \n Linear Functions\n <\/div>\n
                                                                            \n
                                                                          • \n
                                                                            \n Domain & Range of Linear Functions\n <\/div>\n
                                                                              \n
                                                                            • \n Determine if value is in domain or range, set & table representations\n <\/li>\n
                                                                            • \n Determine if value is in domain or range, graphical representations\n <\/li>\n
                                                                            • \n Given graph, determine domain & range\n <\/li>\n
                                                                            • \n Determine continuous domain & range, real-world context\n <\/li>\n
                                                                            • \n Determine restricted domain & range of linear functions\n <\/li>\n
                                                                            • \n Determine discrete domain & range, real-world context\n <\/li>\n
                                                                            • \n Condensed: Determine domain & range, including real-world context\n <\/li>\n <\/ul>\n <\/li>\n
                                                                            • \n
                                                                              \n Graphing Linear Functions\n <\/div>\n
                                                                                \n
                                                                              • \n
                                                                                \n Standard Form to Graph\n <\/div>\n
                                                                                  \n
                                                                                • \n Given linear equation in standard form, graph\n <\/li>\n
                                                                                • \n Given linear equation in standard form, graph, scrambled variable terms\n <\/li>\n
                                                                                • \n Determine linear equation in standard form & graph, real-world context\n <\/li>\n
                                                                                • \n Condensed: Determine linear equation in standard form & graph, including real-world context\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                • \n
                                                                                  \n Slope-Intercept Form to Graph, Integer Slope Only\n <\/div>\n
                                                                                    \n
                                                                                  • \n Graph linear equations, m = 1\n <\/li>\n
                                                                                  • \n Graph linear equations, m = 1, various scales\n <\/li>\n
                                                                                  • \n Given equation in slope-intercept form, graph line, m = \u00b11, various scales\n <\/li>\n
                                                                                  • \n Graph linear equations, integer slope not including one & negative one, b = 0\n <\/li>\n
                                                                                  • \n Graph linear equations, integer slope not including one & negative one\n <\/li>\n
                                                                                  • \n Graph linear equations, integer slope, various scales\n <\/li>\n
                                                                                  • \n Graph linear equations, including horizontal & vertical, integer slope, various scales\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                  • \n
                                                                                    \n Slope-Intercept Form to Graph\n <\/div>\n
                                                                                      \n
                                                                                    • \n Graph linear equations, fractional slope\n <\/li>\n
                                                                                    • \n Graph linear equations, fractional slope, various scales\n <\/li>\n
                                                                                    • \n Condensed: Graph linear equations, including horizontal & vertical, various scales\n <\/li>\n
                                                                                    • \n Given description of linear equation, identify graph, fractional slope, real-world context\n <\/li>\n
                                                                                    • \n Condensed: Given linear equation or description, determine graph, fractional slope, including real-world context\n <\/li>\n
                                                                                    • \n Condensed: Identify equivalent equations, graphs, & tables\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                    • \n
                                                                                      \n Vertical & Horizontal Lines to Graph\n <\/div>\n
                                                                                        \n
                                                                                      • \n Given vertical linear equation, determine graph\n <\/li>\n
                                                                                      • \n Given horizontal linear equation, determine graph\n <\/li>\n <\/ul>\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                      • \n
                                                                                        \n Identifying Key Features of Linear Function\n <\/div>\n
                                                                                          \n
                                                                                        • \n
                                                                                          \n Identify Linear or Non-Linear Relationships\n <\/div>\n
                                                                                            \n
                                                                                          • \n Identify linear & non-linear relationships, various representations\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                          • \n
                                                                                            \n Determine or Plot Intercepts, Given Graph\n <\/div>\n
                                                                                              \n
                                                                                            • \n Given linear graph, determine coordinates of y-intercept\n <\/li>\n
                                                                                            • \n Given linear graph, determine coordinates of x-intercept\n <\/li>\n
                                                                                            • \n Given linear graph, locate intercept or determine coordinates, various scales\n <\/li>\n
                                                                                            • \n Given graph of linear equation, determine slope & intercepts\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                            • \n
                                                                                              \n Determine or Plot Intercepts, Given Equation\n <\/div>\n
                                                                                                \n
                                                                                              • \n Given linear equation in slope-intercept form, determine coordinates of y-intercept\n <\/li>\n
                                                                                              • \n Given linear equation in slope-intercept form, determine coordinates of x-intercept\n <\/li>\n
                                                                                              • \n Given linear equation in slope-intercept form, plot y-intercept\n <\/li>\n
                                                                                              • \n Given equation of horizontal or vertical line, determine coordinates of y-intercept\n <\/li>\n
                                                                                              • \n Given equation of horizontal or vertical line, determine coordinates of x-intercept\n <\/li>\n
                                                                                              • \n Given equation of horizontal or vertical line, plot y-intercept\n <\/li>\n
                                                                                              • \n Given linear equation, determine intercepts\n <\/li>\n
                                                                                              • \n Given linear equation in standard form, determine coordinates of y-intercept\n <\/li>\n
                                                                                              • \n Given linear equation, determine slope & intercepts\n <\/li>\n <\/ul>\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                              • \n
                                                                                                \n Writing Equation of Linear Function\n <\/div>\n
                                                                                                  \n
                                                                                                • \n
                                                                                                  \n Writing Equation Given Point & Slope\n <\/div>\n
                                                                                                    \n
                                                                                                  • \n Given slope & y-intercept, determine equation\n <\/li>\n
                                                                                                  • \n Given point & integer slope or rate of change, determine linear equation in slope-intercept form\n <\/li>\n
                                                                                                  • \n Given point & fractional slope, determine linear equation in point-slope form, including slope-intercept form conversion\n <\/li>\n
                                                                                                  • \n Given point & fractional slope, determine linear equation in slope-intercept form, integer y-intercept\n <\/li>\n
                                                                                                  • \n Given point & fractional slope, determine linear equation in slope-intercept form, fractional y-intercept\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                  • \n
                                                                                                    \n Writing Equation Given Two Points\n <\/div>\n
                                                                                                      \n
                                                                                                    • \n Given two points, determine linear equation in point-slope form, integer slope, including slope-intercept form conversion\n <\/li>\n
                                                                                                    • \n Given two points, determine linear equation in slope-intercept form, integer slope\n <\/li>\n
                                                                                                    • \n Given two points, determine linear equation in standard form, integer slope, including slope-intercept form conversion\n <\/li>\n
                                                                                                    • \n Given two points, determine linear equation in point-slope form, fractional slope, including slope-intercept form conversion\n <\/li>\n
                                                                                                    • \n Given two points, determine linear equation in standard form, fractional slope, including slope-intercept form conversion\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                    • \n
                                                                                                      \n Writing Equation Given Various Components\n <\/div>\n
                                                                                                        \n
                                                                                                      • \n Given points or slope & point, determine linear equation in standard form\n <\/li>\n
                                                                                                      • \n Given points or slope & point, determine linear equation in point-slope or standard form\n <\/li>\n
                                                                                                      • \n Given points or slope & point, determine linear equation in various forms\n <\/li>\n
                                                                                                      • \n Condensed: Given two points, determine linear equation in slope-intercept form, including horizontal & vertical lines\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                      • \n
                                                                                                        \n Writing Equation Given Graph\n <\/div>\n
                                                                                                          \n
                                                                                                        • \n
                                                                                                          \n Writing Equation Given Graph Through Origin\n <\/div>\n
                                                                                                            \n
                                                                                                          • \n Given linear graph through origin with points shown on line, determine equation in slope-intercept form, integer slopes\n <\/li>\n
                                                                                                          • \n Given linear graph through origin, determine equation in slope-intercept form, integer slope, 1 \u2264 |m| \u2264 3\n <\/li>\n
                                                                                                          • \n Given linear graph through origin, determine equation in slope-intercept form, integer slope\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                          • \n
                                                                                                            \n Writing Equation Given Graph, Integer Slopes,Various Y-Intercepts\n <\/div>\n
                                                                                                              \n
                                                                                                            • \n Given linear graph, determine equation in slope-intercept form, m = 1, various scales\n <\/li>\n
                                                                                                            • \n Given linear graph, determine equation in slope-intercept form, m = \u00b11, various scales\n <\/li>\n
                                                                                                            • \n Given linear graph, determine equation in slope-intercept form, integer slopes\n <\/li>\n
                                                                                                            • \n Given linear graph, determine equation in slope-intercept form, integer slopes, various scales\n <\/li>\n
                                                                                                            • \n Given linear graph, identify equation in slope-intercept form, integer slopes, various scales\n <\/li>\n
                                                                                                            • \n Given equation in slope-intercept form, identify graph, integer slopes, various scales\n <\/li>\n
                                                                                                            • \n Condensed: Identify equivalent linear graphs & equations in slope-intercept form, integers slopes, various scales\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                            • \n
                                                                                                              \n Writing Equation Given Graph, Various Y-Intercepts\n <\/div>\n
                                                                                                                \n
                                                                                                              • \n Given linear graph, identify equation, slope-intercept form\n <\/li>\n
                                                                                                              • \n Given linear graph, determine equation in slope-intercept form, fractional slopes\n <\/li>\n
                                                                                                              • \n Given linear graph, determine equation in point-slope form\n <\/li>\n
                                                                                                              • \n Given linear graph, determine equation in standard form\n <\/li>\n
                                                                                                              • \n Given linear graph, identify equation, various forms\n <\/li>\n
                                                                                                              • \n Identify equivalent linear graphs & equations in slope-intercept form\n <\/li>\n
                                                                                                              • \n Identify equivalent linear graphs & equations in slope-intercept form, various scales\n <\/li>\n
                                                                                                              • \n Given graph of vertical line, determine equation\n <\/li>\n
                                                                                                              • \n Given graph of horizontal line, determine equation\n <\/li>\n <\/ul>\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                              • \n
                                                                                                                \n Writing Equation of Parallel or Perpendicular Line\n <\/div>\n
                                                                                                                  \n
                                                                                                                • \n
                                                                                                                  \n Identifying Parallel, Perpendicular, or Neither\n <\/div>\n
                                                                                                                    \n
                                                                                                                  • \n Given two slope-intercept form equations, identify as parallel or perpendicular\n <\/li>\n
                                                                                                                  • \n Given two pairs of points, determine if lines containing points are parallel or perpendicular\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                  • \n
                                                                                                                    \n Writing Equation of Parallel or Perpendicular in Slope-Intercept Form\n <\/div>\n
                                                                                                                      \n
                                                                                                                    • \n Given equation in slope-intercept form, determine slope of parallel line\n <\/li>\n
                                                                                                                    • \n Given equation in slope-intercept form, determine slope of perpendicular line\n <\/li>\n
                                                                                                                    • \n Condensed: Given equation in slope-intercept form, determine slope of parallel or perpendicular line\n <\/li>\n
                                                                                                                    • \n Given equation in slope-intercept form, determine equation of parallel line through specified point\n <\/li>\n
                                                                                                                    • \n Given equation in slope-intercept form, determine equation of perpendicular line through specified point\n <\/li>\n
                                                                                                                    • \n Given equation in slope-intercept form, determine equation of parallel or perpendicular line through specified point\n <\/li>\n
                                                                                                                    • \n Condensed: Determine equations for parallel & perpendicular lines through specified points\n <\/li>\n
                                                                                                                    • \n Given slope & point, determine equation for parallel or perpendicular line through specified point\n <\/li>\n
                                                                                                                    • \n Given two points for one line, determine equation for parallel or perpendicular line through specified point\n <\/li>\n
                                                                                                                    • \n Given graph of line, determine equation for parallel or perpendicular line through specified point\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                    • \n
                                                                                                                      \n Writing Equation of Parallel or Perpendicular in Various Forms\n <\/div>\n
                                                                                                                        \n
                                                                                                                      • \n Given equation in various forms, determine slope of parallel line\n <\/li>\n
                                                                                                                      • \n Given equation in various forms, determine slope of perpendicular line\n <\/li>\n
                                                                                                                      • \n Condensed: Given equation in various forms, determine slope of parallel or perpendicular line\n <\/li>\n
                                                                                                                      • \n Determine equation of line through specified point parallel or perpendicular to x-axis\n <\/li>\n
                                                                                                                      • \n Determine equation of line through specified point parallel or perpendicular to y-axis\n <\/li>\n
                                                                                                                      • \n Condensed: Determine equation of line through specified point parallel or perpendicular to x- or y-axis\n <\/li>\n
                                                                                                                      • \n Given equation in various forms, determine equation of parallel line through specified point\n <\/li>\n
                                                                                                                      • \n Given equation in various forms, determine equation of perpendicular line through specified point\n <\/li>\n
                                                                                                                      • \n Given equation in various forms, determine equation of parallel or perpendicular line through specified point\n <\/li>\n
                                                                                                                      • \n Identify equation that is parallel or perpendicular to line through two given points\n <\/li>\n <\/ul>\n <\/li>\n <\/ul>\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                      • \n
                                                                                                                        \n Transformations of Linear Functions\n <\/div>\n
                                                                                                                          \n
                                                                                                                        • \n Identify & graph reflections of linear functions\n <\/li>\n
                                                                                                                        • \n Identify & graph vertical & horizontal shifts of linear functions\n <\/li>\n
                                                                                                                        • \n Identify & graph vertical & horizontal stretches & compressions of linear functions\n <\/li>\n
                                                                                                                        • \n Identify descriptions of graphs of linear parent functions & transformed functions\n <\/li>\n
                                                                                                                        • \n Graph linear functions using all transformations\n <\/li>\n
                                                                                                                        • \n Condensed: Graph linear functions & identify transformations\n <\/li>\n
                                                                                                                        • \n Given description of transformation, determine linear function\n <\/li>\n
                                                                                                                        • \n Given table, identify transformations of linear functions\n <\/li>\n
                                                                                                                        • \n Describe parameter changes to linear parent functions\n <\/li>\n
                                                                                                                        • \n Compare linear functions represented differently\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                        • \n
                                                                                                                          \n Application of Linear Functions, Given Slope-Intercept or Two Points\n <\/div>\n
                                                                                                                            \n
                                                                                                                          • \n Form 1 – Given slope & intercept, interpret linear relationship, determine slope-intercept equation, & graph, positive slope, only input to output questions\n <\/li>\n
                                                                                                                          • \n Form 2 – Given slope & intercept, interpret linear relationship, determine slope-intercept equation, & graph, positive slope\n <\/li>\n
                                                                                                                          • \n Form 3 – Given slope & intercept, interpret linear relationship, determine slope-intercept equation, & graph, including negative slope\n <\/li>\n
                                                                                                                          • \n Given slope & intercept, interpret linear relationship & determine slope-intercept equation, including negative slope\n <\/li>\n
                                                                                                                          • \n Form 4 – Given point & slope, interpret linear relationship, determine slope-intercept equation, & graph, including negative slope\n <\/li>\n
                                                                                                                          • \n Form 5 – Given two points, interpret linear relationship, determine slope-intercept equation, & graph, including negative slope\n <\/li>\n
                                                                                                                          • \n Condensed: Forms 3 to 5 – Given linear word problem, interpret linear relationship, determine slope-intercept equation, & graph\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                          • \n
                                                                                                                            \n Application of Linear Functions\n <\/div>\n
                                                                                                                              \n
                                                                                                                            • \n Given linear word problem, identify graph\n <\/li>\n
                                                                                                                            • \n Form 6 – Given linear graph, interpret linear relationship & determine slope-intercept equation\n <\/li>\n
                                                                                                                            • \n Form 7 – Given linear word problem, graph & interpret relationship, four quadrants\n <\/li>\n
                                                                                                                            • \n Determine graph or information from graph, real-world context\n <\/li>\n
                                                                                                                            • \n Given linear equation, interpret slope & y-intercept, real-world context\n <\/li>\n
                                                                                                                            • \n Determine effects of parameter changes in linear relationships, real-world context\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                            • \n
                                                                                                                              \n Linear Regression\n <\/div>\n
                                                                                                                                \n
                                                                                                                              • \n Sketch line of best fit & determine equation, graph scales of one\n <\/li>\n
                                                                                                                              • \n Sketch line of best fit & determine equation, various graph scales\n <\/li>\n
                                                                                                                              • \n Sketch line of best fit & determine equation, real-world context\n <\/li>\n
                                                                                                                              • \n Sketch line of best fit\n <\/li>\n
                                                                                                                              • \n Sketch line of best fit & determine predicted value\n <\/li>\n
                                                                                                                              • \n Condensed: Sketch line of best fit & determine equation\n <\/li>\n
                                                                                                                              • \n Determine residuals\n <\/li>\n <\/ul>\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                              • \n
                                                                                                                                \n Exponents\n <\/div>\n
                                                                                                                                  \n
                                                                                                                                • \n
                                                                                                                                  \n Numerical Exponential Expressions\n <\/div>\n
                                                                                                                                    \n
                                                                                                                                  • \n Evaluate powers, whole number base, non-positive exponent\n <\/li>\n
                                                                                                                                  • \n Evaluate powers, integer base, non-positive exponent, including negative coefficients\n <\/li>\n
                                                                                                                                  • \n Evaluate powers, fractional base, positive exponent\n <\/li>\n
                                                                                                                                  • \n Evaluate powers, fractional base, negative exponent\n <\/li>\n
                                                                                                                                  • \n Evaluate powers, positive fractional base, including non-positive exponents\n <\/li>\n
                                                                                                                                  • \n Evaluate powers, fractional bases\n <\/li>\n
                                                                                                                                  • \n Condensed: Evaluate powers with negative exponents\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                  • \n
                                                                                                                                    \n Simplify Negative Exponents\n <\/div>\n
                                                                                                                                      \n
                                                                                                                                    • \n Express negative power using positive exponent\n <\/li>\n
                                                                                                                                    • \n Express negative power using positive exponent, coefficient other than one\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                    • \n
                                                                                                                                      \n Power Rule of Exponents\n <\/div>\n
                                                                                                                                        \n
                                                                                                                                      • \n
                                                                                                                                        \n Power Rule, One Variable\n <\/div>\n
                                                                                                                                          \n
                                                                                                                                        • \n Apply power rule, one variable, positive exponents\n <\/li>\n
                                                                                                                                        • \n Apply power rule, one variable, at least one negative exponent\n <\/li>\n
                                                                                                                                        • \n Apply power rule, one variable, including non-positive exponents\n <\/li>\n
                                                                                                                                        • \n Apply power rule, one variable, coefficient of negative one, at least one negative exponent\n <\/li>\n
                                                                                                                                        • \n Simplify single variable powers, negative base or coefficient\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                        • \n
                                                                                                                                          \n Power Rule, Multiple Variables\n <\/div>\n
                                                                                                                                            \n
                                                                                                                                          • \n Apply power rule, including multiple variables, positive exponents\n <\/li>\n
                                                                                                                                          • \n Apply power rule, including multiple variables & negative exponents\n <\/li>\n
                                                                                                                                          • \n Apply power rule, including multiple variables & negative exponents\n <\/li>\n
                                                                                                                                          • \n Apply power rule, coefficient of negative one, multiple variables, including negative exponents\n <\/li>\n
                                                                                                                                          • \n Apply power rule, coefficient of negative one in power, including multiple variables & negative exponents\n <\/li>\n
                                                                                                                                          • \n Apply power rule, negative base or coefficient, multiple variables, including negative exponents\n <\/li>\n
                                                                                                                                          • \n Apply power rule, multiple variables, coefficients other than one, including negative exponents\n <\/li>\n
                                                                                                                                          • \n Simplify powers, fractional algebraic base, including negative exponents\n <\/li>\n <\/ul>\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                          • \n
                                                                                                                                            \n Product Rule of Exponents\n <\/div>\n
                                                                                                                                              \n
                                                                                                                                            • \n
                                                                                                                                              \n Product Rule, One Variable\n <\/div>\n
                                                                                                                                                \n
                                                                                                                                              • \n Apply product rule of exponents, one variable, positive exponents\n <\/li>\n
                                                                                                                                              • \n Apply product rule of exponents, one variable, positive exponents, displayed with parentheses\n <\/li>\n
                                                                                                                                              • \n Apply product rule of exponents, one variable, no coefficients, at least one negative exponent\n <\/li>\n
                                                                                                                                              • \n Apply product rule of exponents, one variable, positive exponents, coefficients other than one\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                              • \n
                                                                                                                                                \n Product Rule, Multiple Variables\n <\/div>\n
                                                                                                                                                  \n
                                                                                                                                                • \n Apply product rule of exponents, two variables, three to four factors, positive exponents\n <\/li>\n
                                                                                                                                                • \n Apply product rule of exponents, two variables, three to four factors, at least one negative exponent\n <\/li>\n
                                                                                                                                                • \n Apply product rule of exponents, two variables, three to four factors, one variable cancels\n <\/li>\n
                                                                                                                                                • \n Apply product rule of exponents, two variables, four to six factors, positive exponents\n <\/li>\n
                                                                                                                                                • \n Apply product rule of exponents, two variables, four to six factors, at least one negative exponent\n <\/li>\n
                                                                                                                                                • \n Apply product rule of exponents, two variables, four to six factors, at least one variable cancels\n <\/li>\n
                                                                                                                                                • \n Apply product rule of exponents, positive exponents\n <\/li>\n
                                                                                                                                                • \n Apply product rule, multiple variables, coefficients other than one, including negative exponents\n <\/li>\n
                                                                                                                                                • \n Apply product rule of exponents, negative exponents\n <\/li>\n <\/ul>\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                • \n
                                                                                                                                                  \n Quotient Rule of Exponents\n <\/div>\n
                                                                                                                                                    \n
                                                                                                                                                  • \n
                                                                                                                                                    \n Quotient Rule, One Variable\n <\/div>\n
                                                                                                                                                      \n
                                                                                                                                                    • \n Apply quotient rule of exponents, one variable, positive exponents, greater exponent in numerator\n <\/li>\n
                                                                                                                                                    • \n Apply quotient rule of exponents, one variable, positive exponents, greater exponent in denominator\n <\/li>\n
                                                                                                                                                    • \n Apply quotient rule of exponents, one variable, at least one negative exponent\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                    • \n
                                                                                                                                                      \n Quotient Rule, Multiple Variables\n <\/div>\n
                                                                                                                                                        \n
                                                                                                                                                      • \n Apply quotient rule of exponents, one or two variables, one or two factors in numerator & denominator, positive exponents\n <\/li>\n
                                                                                                                                                      • \n Apply quotient rule of exponents, two or three variables, two or three factors in numerator & denominator, positive exponents\n <\/li>\n
                                                                                                                                                      • \n Apply quotient rule of exponents, positive exponents\n <\/li>\n
                                                                                                                                                      • \n Apply quotient rule of exponents, one or two variables, one or two factors in numerator & denominator, at least one negative exponent\n <\/li>\n
                                                                                                                                                      • \n Apply quotient rule of exponents, two or three variables, two or three factors in numerator & denominator, at least one negative exponent\n <\/li>\n
                                                                                                                                                      • \n Apply quotient rule of exponents, negative exponents\n <\/li>\n
                                                                                                                                                      • \n Apply quotient rule of exponents, one or two variables, one or two factors in numerator & denominator, including negative exponents, coefficients other than one\n <\/li>\n
                                                                                                                                                      • \n Apply quotient rule of exponents, one or two variables, one or two factors in numerator & denominator, positive exponents, coefficients other than one\n <\/li>\n <\/ul>\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                      • \n
                                                                                                                                                        \n Power & Product Rules of Exponents\n <\/div>\n
                                                                                                                                                          \n
                                                                                                                                                        • \n Apply power rule of exponents, positive exponents\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                        • \n
                                                                                                                                                          \n Product & Quotient Rules of Exponents\n <\/div>\n
                                                                                                                                                            \n
                                                                                                                                                          • \n
                                                                                                                                                            \n Multiply Two Fractions\n <\/div>\n
                                                                                                                                                              \n
                                                                                                                                                            • \n Apply product & quotient rules of exponents, multiply two fractions, one or two variables, at least one non-positive exponent\n <\/li>\n
                                                                                                                                                            • \n Apply product & quotient rules of exponents, multiply two fractions, multiple variables, at least one non-positive exponent\n <\/li>\n
                                                                                                                                                            • \n Apply product & quotient rules of exponents, multiply two fractions, multiple variables, at least one negative exponent\n <\/li>\n
                                                                                                                                                            • \n Apply product & quotient rules of exponents, multiply two fractions, multiple variables, positive exponents\n <\/li>\n
                                                                                                                                                            • \n Apply product & quotient rules of exponents, divide fractions, one or two variables, coefficients other than one, including negative exponents\n <\/li>\n
                                                                                                                                                            • \n Apply product & quotient rules of exponents, multiply two fractions, multiple variables, at least one non-positive exponent\n <\/li>\n
                                                                                                                                                            • \n Apply product & quotient rules of exponents, multiply two fractions, multiple variables, at least one non-positive exponent\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                            • \n
                                                                                                                                                              \n Divide Two Fractions\n <\/div>\n
                                                                                                                                                                \n
                                                                                                                                                              • \n Apply product & quotient rules of exponents, divide two fractions, multiple variables, at least one non-positive exponent\n <\/li>\n
                                                                                                                                                              • \n Apply product & quotient rules of exponents, divide two fractions, one or two variables, at least one non-positive exponent\n <\/li>\n
                                                                                                                                                              • \n Apply product & quotient rules of exponents, divide two fractions, multiple variables, at least one non-positive exponent\n <\/li>\n
                                                                                                                                                              • \n Apply product & quotient rules of exponents, multiply fractions, one or two variables, coefficients other than one, including negative exponents\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                              • \n
                                                                                                                                                                \n Multiply & Divide Two Fractions\n <\/div>\n
                                                                                                                                                                  \n
                                                                                                                                                                • \n Apply product & quotient rules of exponents, negative exponents\n <\/li>\n
                                                                                                                                                                • \n Apply product & quotient rules of exponents, negative exponents, coefficients other than one\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                • \n Apply product & quotient rules of exponents, multiply two fractions, one or two variables, at least one non-positive exponent\n <\/li>\n
                                                                                                                                                                • \n Apply product & quotient rules of exponents, multiply two fractions, multiple variables, at least one non-positive exponent\n <\/li>\n
                                                                                                                                                                • \n Apply product & quotient rules of exponents, multiply two fractions, multiple variables, at least one negative exponent\n <\/li>\n
                                                                                                                                                                • \n Apply product & quotient rules of exponents, multiply two fractions, multiple variables, positive exponents\n <\/li>\n
                                                                                                                                                                • \n Apply product & quotient rules of exponents, divide fractions, one or two variables, coefficients other than one, including negative exponents\n <\/li>\n
                                                                                                                                                                • \n Apply product & quotient rules of exponents, multiply two fractions, multiple variables, at least one non-positive exponent\n <\/li>\n
                                                                                                                                                                • \n Apply product & quotient rules of exponents, divide two fractions, multiple variables, at least one non-positive exponent\n <\/li>\n
                                                                                                                                                                • \n Apply product & quotient rules of exponents, divide two fractions, one or two variables, at least one non-positive exponent\n <\/li>\n
                                                                                                                                                                • \n Apply product & quotient rules of exponents, multiply fractions, one or two variables, coefficients other than one, including negative exponents\n <\/li>\n
                                                                                                                                                                • \n Apply product & quotient rules of exponents, divide two fractions, multiple variables, at least one non-positive exponent\n <\/li>\n
                                                                                                                                                                • \n Apply product & quotient rules of exponents, negative exponents, coefficients other than one\n <\/li>\n
                                                                                                                                                                • \n Apply product & quotient rules of exponents, negative exponents\n <\/li>\n
                                                                                                                                                                • \n Apply product & quotient rules of exponents, multiply two fractions, multiple variables, at least one non-positive exponent\n <\/li>\n
                                                                                                                                                                • \n Apply product & quotient rules of exponents, one or two variables, positive exponents\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                • \n
                                                                                                                                                                  \n Power, Product, & Quotient Rule of Exponents Mixed\n <\/div>\n
                                                                                                                                                                    \n
                                                                                                                                                                  • \n
                                                                                                                                                                    \n Exponents Mixed, One Variable\n <\/div>\n
                                                                                                                                                                      \n
                                                                                                                                                                    • \n Apply power & product rules of exponents, one variable, positive exponents\n <\/li>\n
                                                                                                                                                                    • \n Apply product & power rules of exponents, one variable, coefficient of negative one\n <\/li>\n
                                                                                                                                                                    • \n Apply product, quotient, & power rules of exponents, one variable\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                    • \n
                                                                                                                                                                      \n Exponents Mixed, Positive Exponents\n <\/div>\n
                                                                                                                                                                        \n
                                                                                                                                                                      • \n Apply product & quotient rules of exponents, one or two variables, positive exponents\n <\/li>\n
                                                                                                                                                                      • \n Apply power & product rules of exponents, multiple variables, positive exponents\n <\/li>\n
                                                                                                                                                                      • \n Apply power & product rules of exponents, fraction with numerator of one, positive exponents\n <\/li>\n
                                                                                                                                                                      • \n Apply power, product, & quotient rules of exponents, positive exponents\n <\/li>\n
                                                                                                                                                                      • \n Apply power, product, & quotient rules of exponents, multiply fractions, positive exponents\n <\/li>\n
                                                                                                                                                                      • \n Apply power, product, & quotient rules of exponents, divide fractions, positive exponents\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                      • \n
                                                                                                                                                                        \n Exponents Mixed, Including Negative Exponents\n <\/div>\n
                                                                                                                                                                          \n
                                                                                                                                                                        • \n Apply product & quotient rules of exponents, one or two variables, at least one negative exponent\n <\/li>\n
                                                                                                                                                                        • \n Apply power & product rules of exponents, fraction with numerator of one, including negative exponents\n <\/li>\n
                                                                                                                                                                        • \n Apply power, product, & quotient rules of exponents, including negative exponents\n <\/li>\n
                                                                                                                                                                        • \n Apply power rule of exponents, negative exponents\n <\/li>\n
                                                                                                                                                                        • \n Apply power & product rules of exponents, fraction with numerator of one, coefficient of negative one in power, including negative exponents\n <\/li>\n
                                                                                                                                                                        • \n Apply product, quotient, & power rules of exponents, multiple variables, coefficient of negative one\n <\/li>\n
                                                                                                                                                                        • \n Apply power, product, & quotient rules of exponents, including negative exponents & coefficient of negative one in power\n <\/li>\n
                                                                                                                                                                        • \n Apply product rule of exponents, coefficients other than one\n <\/li>\n
                                                                                                                                                                        • \n Apply power, product, & quotient rules of exponents, multiply fractions, including negative exponents\n <\/li>\n
                                                                                                                                                                        • \n Apply power, product, & quotient rules of exponents, divide fractions, including negative exponents\n <\/li>\n
                                                                                                                                                                        • \n Apply product, quotient, & power rules of exponents, multiple variables\n <\/li>\n <\/ul>\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                        • \n
                                                                                                                                                                          \n Application of Exponents\n <\/div>\n
                                                                                                                                                                            \n
                                                                                                                                                                          • \n Determine algebraic expressions for perimeter & area of rectangles\n <\/li>\n
                                                                                                                                                                          • \n Given algebraic expressions for area & side of rectangles, determine expression for missing side\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                          • \n
                                                                                                                                                                            \n Rational Exponents\n <\/div>\n
                                                                                                                                                                              \n
                                                                                                                                                                            • \n
                                                                                                                                                                              \n Power Rule\n <\/div>\n
                                                                                                                                                                                \n
                                                                                                                                                                              • \n Evaluate rational exponent expressions, positive exponents\n <\/li>\n
                                                                                                                                                                              • \n Evaluate rational exponent expressions, negative exponents\n <\/li>\n
                                                                                                                                                                              • \n Condensed: Evaluate rational exponent expressions\n <\/li>\n
                                                                                                                                                                              • \n Simplify rational exponent expressions using power rule, no coefficients\n <\/li>\n
                                                                                                                                                                              • \n Simplify rational exponent expressions using power rule, with coefficients\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                              • \n
                                                                                                                                                                                \n Product Rule\n <\/div>\n
                                                                                                                                                                                  \n
                                                                                                                                                                                • \n Simplify rational exponent expressions using product rule, no coefficients\n <\/li>\n
                                                                                                                                                                                • \n Simplify rational exponent expressions using product rule, coefficients not with base\n <\/li>\n
                                                                                                                                                                                • \n Simplify rational exponent expressions using product rule, coefficients with base\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                • \n
                                                                                                                                                                                  \n Quotient Rule\n <\/div>\n
                                                                                                                                                                                    \n
                                                                                                                                                                                  • \n Simplify rational exponent expressions using quotient rule, no coefficients\n <\/li>\n
                                                                                                                                                                                  • \n Simplify rational exponent expressions using quotient rule, with coefficients\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                  • \n
                                                                                                                                                                                    \n Exponent Rules Mixed\n <\/div>\n
                                                                                                                                                                                      \n
                                                                                                                                                                                    • \n Evaluate numerical expressions with rational exponents\n <\/li>\n
                                                                                                                                                                                    • \n Simplify numerical expressions with rational exponents\n <\/li>\n
                                                                                                                                                                                    • \n Condensed: Simplify rational exponents using product & power rules\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                    • \n
                                                                                                                                                                                      \n Convert Rational Exponents & Radicals\n <\/div>\n
                                                                                                                                                                                        \n
                                                                                                                                                                                      • \n Convert from rational exponent to radical, single value base\n <\/li>\n
                                                                                                                                                                                      • \n Convert from rational exponent to radical, algebraic base\n <\/li>\n
                                                                                                                                                                                      • \n Condensed: Convert from rational exponent to radical\n <\/li>\n <\/ul>\n <\/li>\n <\/ul>\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                      • \n
                                                                                                                                                                                        \n Polynomials\n <\/div>\n
                                                                                                                                                                                          \n
                                                                                                                                                                                        • \n
                                                                                                                                                                                          \n Classifying Polynomials\n <\/div>\n
                                                                                                                                                                                            \n
                                                                                                                                                                                          • \n Identify terms of expressions\n <\/li>\n
                                                                                                                                                                                          • \n Identify polynomial as monomial, binomial, or trinomial\n <\/li>\n
                                                                                                                                                                                          • \n Classify polynomials by degree & number of terms\n <\/li>\n
                                                                                                                                                                                          • \n Condensed: Classify polynomials & identify components of polynomials\n <\/li>\n
                                                                                                                                                                                          • \n Determine degree, leading coefficient, & type of polynomial\n <\/li>\n
                                                                                                                                                                                          • \n Condensed: Determine degree, lead coefficient, standard form, & type of polynomial, including two variables\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                          • \n
                                                                                                                                                                                            \n Interpreting Polynomials\n <\/div>\n
                                                                                                                                                                                              \n
                                                                                                                                                                                            • \n Interpret terms or factors in expressions, including real-world context\n <\/li>\n
                                                                                                                                                                                            • \n Identify & apply polynomial identities\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                            • \n
                                                                                                                                                                                              \n Operations with Polynomials\n <\/div>\n
                                                                                                                                                                                                \n
                                                                                                                                                                                              • \n
                                                                                                                                                                                                \n Addition & Subtraction of Polynomials\n <\/div>\n
                                                                                                                                                                                                  \n
                                                                                                                                                                                                • \n
                                                                                                                                                                                                  \n Addition of Polynomials\n <\/div>\n
                                                                                                                                                                                                    \n
                                                                                                                                                                                                  • \n Add binomials & trinomials, degrees zero to two\n <\/li>\n
                                                                                                                                                                                                  • \n Add binomials & trinomials, degrees zero to three\n <\/li>\n
                                                                                                                                                                                                  • \n Given polynomial & sum of polynomials, determine missing polynomial\n <\/li>\n
                                                                                                                                                                                                  • \n Determine sums of polynomials or missing polynomial addends\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                  • \n
                                                                                                                                                                                                    \n Subtraction of Polynomials\n <\/div>\n
                                                                                                                                                                                                      \n
                                                                                                                                                                                                    • \n Subtract binomials & trinomials, degrees zero to two\n <\/li>\n
                                                                                                                                                                                                    • \n Subtract binomials & trinomials, degrees zero to three\n <\/li>\n
                                                                                                                                                                                                    • \n Given polynomial & difference of polynomials, determine missing polynomial\n <\/li>\n
                                                                                                                                                                                                    • \n Determine differences of polynomials or missing polynomial subtrahends\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                    • \n
                                                                                                                                                                                                      \n Addition & Subtraction of Polynomials\n <\/div>\n
                                                                                                                                                                                                        \n
                                                                                                                                                                                                      • \n Condensed: Add or subtract binomials & trinomials\n <\/li>\n
                                                                                                                                                                                                      • \n Condensed: Determine sums or differences of polynomials or missing polynomial operands\n <\/li>\n
                                                                                                                                                                                                      • \n Add & subtract polynomials to determine expressions for perimeter of various shapes\n <\/li>\n
                                                                                                                                                                                                      • \n Determine missing value to make polynomial statement true, addition & subtraction\n <\/li>\n
                                                                                                                                                                                                      • \n Add & subtract binomials & trinomials, two variables\n <\/li>\n <\/ul>\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                      • \n
                                                                                                                                                                                                        \n Multiplication of Polynomials\n <\/div>\n
                                                                                                                                                                                                          \n
                                                                                                                                                                                                        • \n
                                                                                                                                                                                                          \n Multiplication of Polynomials, One Variable\n <\/div>\n
                                                                                                                                                                                                            \n
                                                                                                                                                                                                          • \n Multiply monomial times binomial or trinomial, mixed degrees\n <\/li>\n
                                                                                                                                                                                                          • \n Multiply binomial times binomial, both degree one\n <\/li>\n
                                                                                                                                                                                                          • \n Square linear binomial\n <\/li>\n
                                                                                                                                                                                                          • \n Multiply binomial times binomial, mixed degrees\n <\/li>\n
                                                                                                                                                                                                          • \n Condensed: Multiply binomial times binomial\n <\/li>\n
                                                                                                                                                                                                          • \n Multiply linear binomial times quadratic trinomial\n <\/li>\n
                                                                                                                                                                                                          • \n Multiply binomial times trinomial, mixed degrees\n <\/li>\n
                                                                                                                                                                                                          • \n Simplify monomial minus product of monomial & binomial or trinomial\n <\/li>\n
                                                                                                                                                                                                          • \n Given monomial & binomial or trinomial, multiply or identify missing value\n <\/li>\n
                                                                                                                                                                                                          • \n Determine missing value to make polynomial statement true, multiplication\n <\/li>\n
                                                                                                                                                                                                          • \n Multiply polynomials to determine expressions for areas of rectangles & triangles\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                          • \n
                                                                                                                                                                                                            \n Multiplication of Polynomials, Two Variables\n <\/div>\n
                                                                                                                                                                                                              \n
                                                                                                                                                                                                            • \n Multiply monomial times binomial or trinomial, two variables\n <\/li>\n
                                                                                                                                                                                                            • \n Multiply binomial times binomial, two variables\n <\/li>\n
                                                                                                                                                                                                            • \n Multiply binomial times trinomial, two variables\n <\/li>\n
                                                                                                                                                                                                            • \n Condensed: Multiply monomials, binomials, & trinomials, two variables\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                            • \n
                                                                                                                                                                                                              \n Binomial Theorem\n <\/div>\n
                                                                                                                                                                                                                \n
                                                                                                                                                                                                              • \n Apply binomial theorem to expand (x \u00b1 y)^3\n <\/li>\n
                                                                                                                                                                                                              • \n Apply binomial theorem to expand (x \u00b1 y)^n, n \u2265 4\n <\/li>\n
                                                                                                                                                                                                              • \n Condensed: Apply binomial theorem to expand (x \u00b1 y)^n, n \u2265 3\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                              • \n Multiply monomial times binomial or trinomial, mixed degrees\n <\/li>\n
                                                                                                                                                                                                              • \n Multiply monomial times binomial or trinomial, two variables\n <\/li>\n
                                                                                                                                                                                                              • \n Multiply binomial times binomial, both degree one\n <\/li>\n
                                                                                                                                                                                                              • \n Square linear binomial\n <\/li>\n
                                                                                                                                                                                                              • \n Multiply binomial times binomial, mixed degrees\n <\/li>\n
                                                                                                                                                                                                              • \n Multiply linear binomial times quadratic trinomial\n <\/li>\n
                                                                                                                                                                                                              • \n Multiply binomial times trinomial, mixed degrees\n <\/li>\n
                                                                                                                                                                                                              • \n Condensed: Multiply binomial times binomial\n <\/li>\n
                                                                                                                                                                                                              • \n Given monomial & binomial or trinomial, multiply or identify missing value\n <\/li>\n
                                                                                                                                                                                                              • \n Apply binomial theorem to expand (x \u00b1 y)^3\n <\/li>\n
                                                                                                                                                                                                              • \n Multiply polynomials to determine expressions for areas of rectangles & triangles\n <\/li>\n
                                                                                                                                                                                                              • \n Determine missing value to make polynomial statement true, multiplication\n <\/li>\n
                                                                                                                                                                                                              • \n Apply binomial theorem to expand (x \u00b1 y)^n, n \u2265 4\n <\/li>\n
                                                                                                                                                                                                              • \n Condensed: Apply binomial theorem to expand (x \u00b1 y)^n, n \u2265 3\n <\/li>\n
                                                                                                                                                                                                              • \n Simplify monomial minus product of monomial & binomial or trinomial\n <\/li>\n
                                                                                                                                                                                                              • \n Multiply binomial times binomial, two variables\n <\/li>\n
                                                                                                                                                                                                              • \n Multiply binomial times trinomial, two variables\n <\/li>\n
                                                                                                                                                                                                              • \n Condensed: Multiply monomials, binomials, & trinomials, two variables\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                              • \n
                                                                                                                                                                                                                \n Division of Polynomials\n <\/div>\n
                                                                                                                                                                                                                  \n
                                                                                                                                                                                                                • \n Divide polynomials, degree one or two by degree one or two\n <\/li>\n
                                                                                                                                                                                                                • \n Divide polynomials, degree three or four by degree one\n <\/li>\n
                                                                                                                                                                                                                • \n Divide polynomials, degree three or four by degree two\n <\/li>\n
                                                                                                                                                                                                                • \n Divide polynomials, divisor supports synthetic division\n <\/li>\n
                                                                                                                                                                                                                • \n Condensed: Divide polynomials, degree three or four by degree one or two\n <\/li>\n
                                                                                                                                                                                                                • \n Condensed: Divide polynomials\n <\/li>\n
                                                                                                                                                                                                                • \n Divide quadratic trinomial by linear binomial, word problem context\n <\/li>\n
                                                                                                                                                                                                                • \n Apply remainder theorem\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                • \n
                                                                                                                                                                                                                  \n Mixed Operations of Polynomials\n <\/div>\n
                                                                                                                                                                                                                    \n
                                                                                                                                                                                                                  • \n Condensed: Add or subtract binomials & trinomials or multiply monomial times binomial or trinomial\n <\/li>\n
                                                                                                                                                                                                                  • \n Add & multiply polynomials to determine expressions for area & perimeter of rectangles & triangles\n <\/li>\n
                                                                                                                                                                                                                  • \n Determine missing operation to make polynomial statement true\n <\/li>\n
                                                                                                                                                                                                                  • \n Condensed: Determine missing value to make polynomial statement true\n <\/li>\n <\/ul>\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                  • \n
                                                                                                                                                                                                                    \n Factoring Polynomials\n <\/div>\n
                                                                                                                                                                                                                      \n
                                                                                                                                                                                                                    • \n
                                                                                                                                                                                                                      \n Factoring Trinomials, a=1\n <\/div>\n
                                                                                                                                                                                                                        \n
                                                                                                                                                                                                                      • \n Factor quadratic trinomials, a = 1, b > 0, c > 0\n <\/li>\n
                                                                                                                                                                                                                      • \n Factor quadratic trinomials, a = 1\n <\/li>\n
                                                                                                                                                                                                                      • \n Factor quadratic trinomials, a = 1, terms scrambled\n <\/li>\n
                                                                                                                                                                                                                      • \n Factor quadratic trinomials, 1 \u2264 a \u2264 10, 0 < c \u2264 10\n <\/li>\n
                                                                                                                                                                                                                      • \n Factor quadratic trinomials, 1 \u2264 a \u2264 10, 0 < |c| \u2264 10\n <\/li>\n
                                                                                                                                                                                                                      • \n Condensed: Factor quadratic trinomials, 1 \u2264 a \u2264 10, 0 < c \u2264 10 or 0 < |c| \u2264 10\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                      • \n
                                                                                                                                                                                                                        \n Factoring Trinomials, a>1\n <\/div>\n
                                                                                                                                                                                                                          \n
                                                                                                                                                                                                                        • \n Factor quadratic trinomials, 1 < a \u2264 10, 0 < c \u2264 30\n <\/li>\n
                                                                                                                                                                                                                        • \n Factor quadratic trinomials, 1 < |a| \u2264 10, 0 < |c| \u2264 30\n <\/li>\n
                                                                                                                                                                                                                        • \n Factor quadratic trinomials, 1 < a \u2264 30, 0 < c \u2264 40\n <\/li>\n
                                                                                                                                                                                                                        • \n Factor quadratic trinomials, 1 < |a| \u2264 30, 0 < |c| \u2264 40\n <\/li>\n
                                                                                                                                                                                                                        • \n Condensed: Factor quadratic trinomials, 1 \u2264 a \u2264 10, 0 < c \u2264 10 or 0 < |c| \u2264 10\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                        • \n
                                                                                                                                                                                                                          \n Factor Perfect Square Trinomials\n <\/div>\n
                                                                                                                                                                                                                            \n
                                                                                                                                                                                                                          • \n Factor perfect square trinomials, degree two, one variable\n <\/li>\n
                                                                                                                                                                                                                          • \n Factor perfect square trinomials, degree two, two variables\n <\/li>\n
                                                                                                                                                                                                                          • \n Condensed: Factor perfect square trinomials, degree two\n <\/li>\n
                                                                                                                                                                                                                          • \n Factor perfect square trinomials, fraction coefficients\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                          • \n
                                                                                                                                                                                                                            \n Factoring Difference of Squares\n <\/div>\n
                                                                                                                                                                                                                              \n
                                                                                                                                                                                                                            • \n Factor difference of two squares, degree two, one variable\n <\/li>\n
                                                                                                                                                                                                                            • \n Factor difference of two squares, degree two, one variable, terms scrambled\n <\/li>\n
                                                                                                                                                                                                                            • \n Factor difference of two squares, degree two, one variable, coefficient one\n <\/li>\n
                                                                                                                                                                                                                            • \n Condensed: Factor difference of two squares, degree two\n <\/li>\n
                                                                                                                                                                                                                            • \n Factor difference of two squares, two variables\n <\/li>\n
                                                                                                                                                                                                                            • \n Factor difference of two squares, one or two variables\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                            • \n
                                                                                                                                                                                                                              \n Factor GCF & Remaining Quadratic\n <\/div>\n
                                                                                                                                                                                                                                \n
                                                                                                                                                                                                                              • \n Factor GCF & remaining quadratic expression, a = 1, one variable\n <\/li>\n
                                                                                                                                                                                                                              • \n Factor GCF & remaining quadratic expression, a \u2265 1, one variable\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                              • \n
                                                                                                                                                                                                                                \n Factor Common Binomial\n <\/div>\n
                                                                                                                                                                                                                                  \n
                                                                                                                                                                                                                                • \n Factor common binomial\n <\/li>\n
                                                                                                                                                                                                                                • \n Factor binomial & its opposite\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                • \n
                                                                                                                                                                                                                                  \n Factor by Grouping\n <\/div>\n
                                                                                                                                                                                                                                    \n
                                                                                                                                                                                                                                  • \n Factor cubic polynomial by grouping, one variable\n <\/li>\n
                                                                                                                                                                                                                                  • \n Factor cubic polynomial by grouping & difference of two squares, one variable\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                  • \n
                                                                                                                                                                                                                                    \n Factor Sum & Difference of Cubes\n <\/div>\n
                                                                                                                                                                                                                                      \n
                                                                                                                                                                                                                                    • \n Factor sum & difference of two cubes, degree three, one variable\n <\/li>\n
                                                                                                                                                                                                                                    • \n Factor sum & difference of two cubes, degree six, one variable\n <\/li>\n
                                                                                                                                                                                                                                    • \n Factor sum & difference of two cubes, degree three, two variables\n <\/li>\n
                                                                                                                                                                                                                                    • \n Condensed: Factor sum & difference of two cubes, degree three\n <\/li>\n
                                                                                                                                                                                                                                    • \n Factor sum & difference of two cubes, degree six, two variables\n <\/li>\n
                                                                                                                                                                                                                                    • \n Condensed: Factor sum & difference of two cubes, degree six\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                    • \n
                                                                                                                                                                                                                                      \n Identify Factors\n <\/div>\n
                                                                                                                                                                                                                                        \n
                                                                                                                                                                                                                                      • \n Identify factors of polynomials\n <\/li>\n
                                                                                                                                                                                                                                      • \n Determine linear factors of polynomials, degree three\n <\/li>\n
                                                                                                                                                                                                                                      • \n Determine linear factors of polynomials, degree four\n <\/li>\n
                                                                                                                                                                                                                                      • \n Determine quadratic factors of polynomials, degree four\n <\/li>\n
                                                                                                                                                                                                                                      • \n Condensed: Determine linear factors of polynomials, degree three or four\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                      • \n
                                                                                                                                                                                                                                        \n Determine Number of Roots\n <\/div>\n
                                                                                                                                                                                                                                          \n
                                                                                                                                                                                                                                        • \n Determine maximum number of roots for polynomial function\n <\/li>\n <\/ul>\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                        • \n
                                                                                                                                                                                                                                          \n Interpreting Graphs of Polynomials\n <\/div>\n
                                                                                                                                                                                                                                            \n
                                                                                                                                                                                                                                          • \n
                                                                                                                                                                                                                                            \n Intercepts & Multiplicities\n <\/div>\n
                                                                                                                                                                                                                                              \n
                                                                                                                                                                                                                                            • \n Determine x- & y-intercepts of cubic functions\n <\/li>\n
                                                                                                                                                                                                                                            • \n Determine x-intercepts\/zeros & y-intercepts of polynomial functions\n <\/li>\n
                                                                                                                                                                                                                                            • \n Determine zeros of polynomials & their multiplicities\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                            • \n
                                                                                                                                                                                                                                              \n Extrema, Increase & Decrease, End Behavior, & Symmetry\n <\/div>\n
                                                                                                                                                                                                                                                \n
                                                                                                                                                                                                                                              • \n Determine minimum & maximum of polynomial functions\n <\/li>\n
                                                                                                                                                                                                                                              • \n Determine intervals of increase & decrease of polynomial functions\n <\/li>\n
                                                                                                                                                                                                                                              • \n Determine end behavior of polynomial functions\n <\/li>\n
                                                                                                                                                                                                                                              • \n Determine symmetry of various functions\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                              • \n
                                                                                                                                                                                                                                                \n Determine Attributes\n <\/div>\n
                                                                                                                                                                                                                                                  \n
                                                                                                                                                                                                                                                • \n Given table, determine attributes of polynomial function\n <\/li>\n
                                                                                                                                                                                                                                                • \n Given cubic equation, identify descriptions of transformations\n <\/li>\n
                                                                                                                                                                                                                                                • \n Condensed: Determine graphical attributes of polynomial functions\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                • \n
                                                                                                                                                                                                                                                  \n Determine Graph or Equation\n <\/div>\n
                                                                                                                                                                                                                                                    \n
                                                                                                                                                                                                                                                  • \n Given zeros, determine graph of polynomial function\n <\/li>\n
                                                                                                                                                                                                                                                  • \n Given equation, graph polynomial function\n <\/li>\n
                                                                                                                                                                                                                                                  • \n Given graph, determine equation of polynomial function\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                  • \n
                                                                                                                                                                                                                                                    \n Determine Points of Intersection of Two Functions\n <\/div>\n
                                                                                                                                                                                                                                                      \n
                                                                                                                                                                                                                                                    • \n Determine points of intersection of two polynomial functions\n <\/li>\n <\/ul>\n <\/li>\n <\/ul>\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                    • \n
                                                                                                                                                                                                                                                      \n Function Operations, Inverses, & Solutions\n <\/div>\n
                                                                                                                                                                                                                                                        \n
                                                                                                                                                                                                                                                      • \n
                                                                                                                                                                                                                                                        \n Operations with Functions\n <\/div>\n
                                                                                                                                                                                                                                                          \n
                                                                                                                                                                                                                                                        • \n Add functions, (f + g)(x)\n <\/li>\n
                                                                                                                                                                                                                                                        • \n Subtract functions, (f – g)(x)\n <\/li>\n
                                                                                                                                                                                                                                                        • \n Multiply functions, (f * g)(x)\n <\/li>\n
                                                                                                                                                                                                                                                        • \n Divide functions, (f \/ g)(x)\n <\/li>\n
                                                                                                                                                                                                                                                        • \n Condensed: Add, subtract, multiply, & divide functions, (f ? g)(x)\n <\/li>\n
                                                                                                                                                                                                                                                        • \n Add function values, (f + g)(#)\n <\/li>\n
                                                                                                                                                                                                                                                        • \n Subtract function values, (f – g)(#)\n <\/li>\n
                                                                                                                                                                                                                                                        • \n Multiply function values, (f * g)(#)\n <\/li>\n
                                                                                                                                                                                                                                                        • \n Divide function values, (f \/ g)(#)\n <\/li>\n
                                                                                                                                                                                                                                                        • \n Condensed: Add, subtract, multiply, & divide function values, (f ? g)(#)\n <\/li>\n
                                                                                                                                                                                                                                                        • \n Evaluate compositions of functions\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                        • \n
                                                                                                                                                                                                                                                          \n Inverse Functions\n <\/div>\n
                                                                                                                                                                                                                                                            \n
                                                                                                                                                                                                                                                          • \n Determine inverse of linear function\n <\/li>\n
                                                                                                                                                                                                                                                          • \n Determine inverse of quadratic & square root functions\n <\/li>\n
                                                                                                                                                                                                                                                          • \n Determine inverse of cubic & cube root functions\n <\/li>\n
                                                                                                                                                                                                                                                          • \n Determine inverse of various functions\n <\/li>\n
                                                                                                                                                                                                                                                          • \n Determine if functions are inverses using composition\n <\/li>\n
                                                                                                                                                                                                                                                          • \n Graph function and its inverse\n <\/li>\n
                                                                                                                                                                                                                                                          • \n Determine domain & range of inverse functions\n <\/li>\n
                                                                                                                                                                                                                                                          • \n Condensed: Given function, determine equation, graph, & domain & range of inverse\n <\/li>\n
                                                                                                                                                                                                                                                          • \n Condensed: Determine inverse of linear, quadratic, square root, cubic, & cube root functions\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                          • \n
                                                                                                                                                                                                                                                            \n Identifying Function, Solutions, & Points of Intersection\n <\/div>\n
                                                                                                                                                                                                                                                              \n
                                                                                                                                                                                                                                                            • \n Determine whether given table represents linear or exponential function\n <\/li>\n
                                                                                                                                                                                                                                                            • \n Determine whether given table represents linear, exponential, or quadratic function\n <\/li>\n
                                                                                                                                                                                                                                                            • \n Determine whether given graph represents linear, exponential, or quadratic function\n <\/li>\n
                                                                                                                                                                                                                                                            • \n Condensed: Determine what function given table or graph represents\n <\/li>\n
                                                                                                                                                                                                                                                            • \n Identify ordered pair solutions to systems of two equations, one linear & one quadratic\n <\/li>\n
                                                                                                                                                                                                                                                            • \n Perform operations on functions represented graphically, graphical solution\n <\/li>\n
                                                                                                                                                                                                                                                            • \n Perform operations on functions represented graphically, numerical solution\n <\/li>\n
                                                                                                                                                                                                                                                            • \n Determine points of intersection of various functions, not absolute value or polynomial\n <\/li>\n
                                                                                                                                                                                                                                                            • \n Condensed: Determine points of intersection of functions\n <\/li>\n <\/ul>\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                            • \n
                                                                                                                                                                                                                                                              \n Complex Numbers\n <\/div>\n
                                                                                                                                                                                                                                                                \n
                                                                                                                                                                                                                                                              • \n
                                                                                                                                                                                                                                                                \n Simplify Complex Numbers\n <\/div>\n
                                                                                                                                                                                                                                                                  \n
                                                                                                                                                                                                                                                                • \n Express square roots of negatives using i\n <\/li>\n
                                                                                                                                                                                                                                                                • \n Simplify imaginary numbers\n <\/li>\n
                                                                                                                                                                                                                                                                • \n Simplify powers of i\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                                • \n
                                                                                                                                                                                                                                                                  \n Operations with Complex Numbers\n <\/div>\n
                                                                                                                                                                                                                                                                    \n
                                                                                                                                                                                                                                                                  • \n Add & subtract complex numbers\n <\/li>\n
                                                                                                                                                                                                                                                                  • \n Add or subtract square roots of negative numbers\n <\/li>\n
                                                                                                                                                                                                                                                                  • \n Multiply complex numbers\n <\/li>\n
                                                                                                                                                                                                                                                                  • \n Square complex numbers\n <\/li>\n
                                                                                                                                                                                                                                                                  • \n Multiply square roots of negative numbers\n <\/li>\n
                                                                                                                                                                                                                                                                  • \n Divide complex number by constant\n <\/li>\n
                                                                                                                                                                                                                                                                  • \n Divide complex numbers\n <\/li>\n
                                                                                                                                                                                                                                                                  • \n Condensed: Multiply & divide complex numbers\n <\/li>\n
                                                                                                                                                                                                                                                                  • \n Condensed: Add, subtract, multiply, & divide complex numbers\n <\/li>\n
                                                                                                                                                                                                                                                                  • \n Condensed: Add, subtract, & multiply square roots of negative numbers\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                                  • \n
                                                                                                                                                                                                                                                                    \n Quadratic Equations with Complex Solutions\n <\/div>\n
                                                                                                                                                                                                                                                                      \n
                                                                                                                                                                                                                                                                    • \n Factor sum of squares using complex factors\n <\/li>\n
                                                                                                                                                                                                                                                                    • \n Calculate discriminant, then determine number of real or complex solutions\n <\/li>\n
                                                                                                                                                                                                                                                                    • \n Determine number of complex & real roots of quadratic functions\n <\/li>\n
                                                                                                                                                                                                                                                                    • \n Determine complex solutions by factoring sum of squares\n <\/li>\n
                                                                                                                                                                                                                                                                    • \n Solve quadratic equations using square root method, complex solutions\n <\/li>\n
                                                                                                                                                                                                                                                                    • \n Solve using quadratic formula, complex solutions\n <\/li>\n
                                                                                                                                                                                                                                                                    • \n Condensed: Solve quadratic equations, complex solutions\n <\/li>\n
                                                                                                                                                                                                                                                                    • \n Solve quadratic equations, complete the square, integers, a = 1, complex solutions\n <\/li>\n
                                                                                                                                                                                                                                                                    • \n Solve quadratic equations, complete the square, integers, a > 1, complex solutions\n <\/li>\n
                                                                                                                                                                                                                                                                    • \n Condensed: Solve quadratic equations, complete the square, integers, complex solutions\n <\/li>\n
                                                                                                                                                                                                                                                                    • \n Given two complex solutions, determine quadratic equation of form x^2 + # = 0\n <\/li>\n <\/ul>\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                                    • \n
                                                                                                                                                                                                                                                                      \n Quadratic Functions\n <\/div>\n
                                                                                                                                                                                                                                                                        \n
                                                                                                                                                                                                                                                                      • \n
                                                                                                                                                                                                                                                                        \n Domain & Range of Quadratic Functions\n <\/div>\n
                                                                                                                                                                                                                                                                          \n
                                                                                                                                                                                                                                                                        • \n Given graph of quadratic function, determine domain & range\n <\/li>\n
                                                                                                                                                                                                                                                                        • \n Given equation of quadratic function, determine domain & range\n <\/li>\n
                                                                                                                                                                                                                                                                        • \n Given description of domain & range of quadratic function, choose graph\n <\/li>\n
                                                                                                                                                                                                                                                                        • \n Condensed: Determine domain & range of quadratic function\n <\/li>\n
                                                                                                                                                                                                                                                                        • \n Determine restricted domain & range of quadratic functions\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                                        • \n
                                                                                                                                                                                                                                                                          \n Graphing Quadratic Functions\n <\/div>\n
                                                                                                                                                                                                                                                                            \n
                                                                                                                                                                                                                                                                          • \n Given quadratic equation, determine graph, b = 0\n <\/li>\n
                                                                                                                                                                                                                                                                          • \n Given quadratic equation, determine graph, b = 0, including fractional leading coefficient\n <\/li>\n
                                                                                                                                                                                                                                                                          • \n Graph quadratic functions using all transformations\n <\/li>\n
                                                                                                                                                                                                                                                                          • \n Given quadratic equation, vertex, & point, graph function & determine attributes\n <\/li>\n
                                                                                                                                                                                                                                                                          • \n Given quadratic equation in vertex form, determine graph\n <\/li>\n
                                                                                                                                                                                                                                                                          • \n Given quadratic equation in standard form, determine graph\n <\/li>\n
                                                                                                                                                                                                                                                                          • \n Graph quadratic equations\n <\/li>\n
                                                                                                                                                                                                                                                                          • \n Given equation, graph quadratic function\n <\/li>\n
                                                                                                                                                                                                                                                                          • \n Condensed: Graph quadratic functions using any transformation\n <\/li>\n
                                                                                                                                                                                                                                                                          • \n Given table, determine attributes of quadratic function, real-world context\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                                          • \n
                                                                                                                                                                                                                                                                            \n Identifying Key Features of Quadratic Functions\n <\/div>\n
                                                                                                                                                                                                                                                                              \n
                                                                                                                                                                                                                                                                            • \n
                                                                                                                                                                                                                                                                              \n Vertex, Axis of Symmetry, Increase & Decrease, & Extrema of Quadratic Functions\n <\/div>\n
                                                                                                                                                                                                                                                                                \n
                                                                                                                                                                                                                                                                              • \n Determine vertex of quadratic functions\n <\/li>\n
                                                                                                                                                                                                                                                                              • \n Determine minimum & maximum of quadratic functions\n <\/li>\n
                                                                                                                                                                                                                                                                              • \n Given graph of quadratic function, determine minimum or maximum value\n <\/li>\n
                                                                                                                                                                                                                                                                              • \n Given quadratic equation, determine minimum or maximum value\n <\/li>\n
                                                                                                                                                                                                                                                                              • \n Determine symmetry of quadratic functions\n <\/li>\n
                                                                                                                                                                                                                                                                              • \n Determine axis of symmetry, vertex, & minimum & maximum of quadratic functions, vertex form\n <\/li>\n
                                                                                                                                                                                                                                                                              • \n Determine end behavior of quadratic functions\n <\/li>\n
                                                                                                                                                                                                                                                                              • \n Determine intervals of increase & decrease of quadratic functions\n <\/li>\n
                                                                                                                                                                                                                                                                              • \n Determine intervals where quadratic function is positive or negative\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                                              • \n
                                                                                                                                                                                                                                                                                \n Intercepts of Quadratic Functions\n <\/div>\n
                                                                                                                                                                                                                                                                                  \n
                                                                                                                                                                                                                                                                                • \n Determine x-intercept(s) of quadratic functions\n <\/li>\n
                                                                                                                                                                                                                                                                                • \n Determine zero(s) of quadratic functions\n <\/li>\n
                                                                                                                                                                                                                                                                                • \n Determine zero(s)\/x-intercept(s) of quadratic functions, b = 0\n <\/li>\n
                                                                                                                                                                                                                                                                                • \n Determine y-intercept of quadratic functions\n <\/li>\n
                                                                                                                                                                                                                                                                                • \n Determine x-intercepts\/zeros & y-intercepts of quadratic functions, vertex form\n <\/li>\n
                                                                                                                                                                                                                                                                                • \n Given graph or table of quadratic function, determine x- & y- intercepts\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                                                • \n
                                                                                                                                                                                                                                                                                  \n Mixed Key Attributes of Quadratic Functions\n <\/div>\n
                                                                                                                                                                                                                                                                                    \n
                                                                                                                                                                                                                                                                                  • \n Given quadratic equation, determine attributes & graph, a = 1\n <\/li>\n
                                                                                                                                                                                                                                                                                  • \n Given quadratic equation, determine attributes & graph, a = -1\n <\/li>\n
                                                                                                                                                                                                                                                                                  • \n Given quadratic equation, determine attributes & graph, a \u2260 \u00b11\n <\/li>\n
                                                                                                                                                                                                                                                                                  • \n Given graph of quadratic function, determine attributes\n <\/li>\n
                                                                                                                                                                                                                                                                                  • \n Condensed: Given graph, equation, or table, determine attributes of quadratic function\n <\/li>\n
                                                                                                                                                                                                                                                                                  • \n Condensed: Determine graphical attributes of quadratic functions\n <\/li>\n
                                                                                                                                                                                                                                                                                  • \n Condensed: Given quadratic equation, determine attributes & graph\n <\/li>\n <\/ul>\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                                                  • \n
                                                                                                                                                                                                                                                                                    \n Transformations of Quadratic Functions\n <\/div>\n
                                                                                                                                                                                                                                                                                      \n
                                                                                                                                                                                                                                                                                    • \n Identify & graph reflections of quadratic functions\n <\/li>\n
                                                                                                                                                                                                                                                                                    • \n Identify & graph vertical & horizontal shifts of quadratic functions\n <\/li>\n
                                                                                                                                                                                                                                                                                    • \n Identify & graph vertical & horizontal stretches & compressions of quadratic functions\n <\/li>\n
                                                                                                                                                                                                                                                                                    • \n Identify descriptions of graphs of quadratic parent functions & transformed functions\n <\/li>\n
                                                                                                                                                                                                                                                                                    • \n Given quadratic equation, identify description of transformation\n <\/li>\n
                                                                                                                                                                                                                                                                                    • \n Given description of transformation, determine quadratic function\n <\/li>\n
                                                                                                                                                                                                                                                                                    • \n Describe parameter changes to quadratic parent functions\n <\/li>\n
                                                                                                                                                                                                                                                                                    • \n Determine effects of parameter changes in quadratic relationships, real-world context\n <\/li>\n
                                                                                                                                                                                                                                                                                    • \n Compare quadratic functions represented differently\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                                                    • \n
                                                                                                                                                                                                                                                                                      \n Writing Equations of Quadratic Functions\n <\/div>\n
                                                                                                                                                                                                                                                                                        \n
                                                                                                                                                                                                                                                                                      • \n
                                                                                                                                                                                                                                                                                        \n Standard & Vertex Form\n <\/div>\n
                                                                                                                                                                                                                                                                                          \n
                                                                                                                                                                                                                                                                                        • \n Given quadratic equation in standard form, determine vertex form of equation\n <\/li>\n
                                                                                                                                                                                                                                                                                        • \n Given quadratic equation in vertex form, determine standard form of equation\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                                                        • \n
                                                                                                                                                                                                                                                                                          \n Given Vertex, Zeros, or Points\n <\/div>\n
                                                                                                                                                                                                                                                                                            \n
                                                                                                                                                                                                                                                                                          • \n Given vertex & point, determine quadratic equation, vertex form\n <\/li>\n
                                                                                                                                                                                                                                                                                          • \n Given vertex & point, determine quadratic equation, standard form\n <\/li>\n
                                                                                                                                                                                                                                                                                          • \n Given zeros of quadratic function, determine quadratic equation with integer coefficients\n <\/li>\n
                                                                                                                                                                                                                                                                                          • \n Given integer solutions of quadratic equation, determine function in standard form\n <\/li>\n
                                                                                                                                                                                                                                                                                          • \n Given rational solutions of quadratic equation, determine function in standard form\n <\/li>\n
                                                                                                                                                                                                                                                                                          • \n Given three points in plane, determine quadratic equation\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                                                          • \n
                                                                                                                                                                                                                                                                                            \n Given Graph, Determine Equation\n <\/div>\n
                                                                                                                                                                                                                                                                                              \n
                                                                                                                                                                                                                                                                                            • \n Given graph of quadratic function, determine equation\n <\/li>\n
                                                                                                                                                                                                                                                                                            • \n Given graph of quadratic function, determine equation\n <\/li>\n
                                                                                                                                                                                                                                                                                            • \n Given graph of quadratic function, determine equation in standard form\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                                                            • \n
                                                                                                                                                                                                                                                                                              \n Focus & Directrix\n <\/div>\n
                                                                                                                                                                                                                                                                                                \n
                                                                                                                                                                                                                                                                                              • \n Given focus & directrix of parabola, determine equation\n <\/li>\n
                                                                                                                                                                                                                                                                                              • \n Given focus & directrix of parabola, determine equation in standard form\n <\/li>\n
                                                                                                                                                                                                                                                                                              • \n Given graphical attributes, determine equation of parabola\n <\/li>\n <\/ul>\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                                                              • \n
                                                                                                                                                                                                                                                                                                \n Solving Quadratic Equations\n <\/div>\n
                                                                                                                                                                                                                                                                                                  \n
                                                                                                                                                                                                                                                                                                • \n
                                                                                                                                                                                                                                                                                                  \n Solving Quadratic Equations, Zeros\n <\/div>\n
                                                                                                                                                                                                                                                                                                    \n
                                                                                                                                                                                                                                                                                                  • \n Apply zero product property to solve factored quadratic equations\n <\/li>\n
                                                                                                                                                                                                                                                                                                  • \n Identify zeros of factored quadratics\n <\/li>\n
                                                                                                                                                                                                                                                                                                  • \n Determine relationship between zeros & linear factors of quadratic functions\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                                                                  • \n
                                                                                                                                                                                                                                                                                                    \n Solving Quadratic Equations, GCF\n <\/div>\n
                                                                                                                                                                                                                                                                                                      \n
                                                                                                                                                                                                                                                                                                    • \n Solve quadratic binomial equation by factoring out GCF\n <\/li>\n
                                                                                                                                                                                                                                                                                                    • \n Solve quadratic binomial equation by factoring out GCF, one term on each side\n <\/li>\n
                                                                                                                                                                                                                                                                                                    • \n Solve quadratic binomial equation by factoring out GCF, combining like terms necessary\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                                                                    • \n
                                                                                                                                                                                                                                                                                                      \n Solving Quadratic Equations, Factoring\n <\/div>\n
                                                                                                                                                                                                                                                                                                        \n
                                                                                                                                                                                                                                                                                                      • \n Solve quadratic equations using factoring, a = 1, b > 0, 0 < c \u2264 40, zero on one side\n <\/li>\n
                                                                                                                                                                                                                                                                                                      • \n Solve quadratic equations using factoring, a = 1, b \u2260 0, |c| \u2264 40, zero on one side\n <\/li>\n
                                                                                                                                                                                                                                                                                                      • \n Solve quadratic equations using factoring, a = 1, b \u2260 0, c \u2264 40, terms on both sides\n <\/li>\n
                                                                                                                                                                                                                                                                                                      • \n Solve quadratic equations using factoring, 1 \u2264 a \u2264 10, b > 0, 1 \u2264 c \u2264 10, zero on one side\n <\/li>\n
                                                                                                                                                                                                                                                                                                      • \n Solve quadratic equations using factoring, 1 \u2264 a \u2264 10, b > 0, 1 \u2264 c \u2264 10, terms on both sides\n <\/li>\n
                                                                                                                                                                                                                                                                                                      • \n Solve quadratic equations using factoring, 0 < a \u2264 10, b > 0, 0 < c \u2264 40, zero on one side\n <\/li>\n
                                                                                                                                                                                                                                                                                                      • \n Solve quadratic equations using factoring, |a| \u2264 10, b \u2260 0, |c| \u2264 40, zero on one side\n <\/li>\n
                                                                                                                                                                                                                                                                                                      • \n Solve quadratic equations using factoring, |a| \u2264 10, |c| \u2264 40, terms on both sides\n <\/li>\n
                                                                                                                                                                                                                                                                                                      • \n Solve quadratic equations using factoring, perfect square trinomial\n <\/li>\n
                                                                                                                                                                                                                                                                                                      • \n Solve quadratic equations, perfect square trinomial\n <\/li>\n
                                                                                                                                                                                                                                                                                                      • \n Solve quadratic equations using factoring, difference of squares\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                                                                      • \n
                                                                                                                                                                                                                                                                                                        \n Solving Quadratic Equations, Graphing\n <\/div>\n
                                                                                                                                                                                                                                                                                                          \n
                                                                                                                                                                                                                                                                                                        • \n Given graph of quadratic function, determine roots\/zeros\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                                                                        • \n
                                                                                                                                                                                                                                                                                                          \n Solving Quadratic Equations, Square Root Method\n <\/div>\n
                                                                                                                                                                                                                                                                                                            \n
                                                                                                                                                                                                                                                                                                          • \n Solve quadratic equations using square root method, (x \u00b1 h)^2 = #, rational solutions\n <\/li>\n
                                                                                                                                                                                                                                                                                                          • \n Solve quadratic equations using square root method, (cx \u00b1 h)^2 = #, rational solutions\n <\/li>\n
                                                                                                                                                                                                                                                                                                          • \n Solve quadratic equations using square root method, (x \u00b1 h)^2 + k = #, rational solutions\n <\/li>\n
                                                                                                                                                                                                                                                                                                          • \n Solve quadratic equations using square root method, a(x \u00b1 h)^2 = #, rational solutions\n <\/li>\n
                                                                                                                                                                                                                                                                                                          • \n Solve quadratic equations using square root method, a(x \u00b1 h)^2 + k = #, rational solutions\n <\/li>\n
                                                                                                                                                                                                                                                                                                          • \n Solve quadratic equations using square root method, a(cx \u00b1 h)^2 + k = #\n <\/li>\n
                                                                                                                                                                                                                                                                                                          • \n Solve quadratic equations using square root method, a(cx \u00b1 h)^2 + k = #, rational solutions\n <\/li>\n
                                                                                                                                                                                                                                                                                                          • \n Condensed: Solve quadratic equations using square root method, (x \u00b1 h)^2 = #, rational solutions\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                                                                          • \n
                                                                                                                                                                                                                                                                                                            \n Solving Quadratic Equations, Quadratic Formula\n <\/div>\n
                                                                                                                                                                                                                                                                                                              \n
                                                                                                                                                                                                                                                                                                            • \n Given quadratic equation in standard form, determine discriminant\n <\/li>\n
                                                                                                                                                                                                                                                                                                            • \n Given quadratic equation in standard form, determine number of solutions\n <\/li>\n
                                                                                                                                                                                                                                                                                                            • \n Given quadratic equation in standard form, determine solutions rounded to nearest hundredth\n <\/li>\n
                                                                                                                                                                                                                                                                                                            • \n Given quadratic equation, determine solutions rounded to nearest hundredth, constant on one side\n <\/li>\n
                                                                                                                                                                                                                                                                                                            • \n Given quadratic equation, determine solutions rounded to nearest hundredth, combine like terms first\n <\/li>\n
                                                                                                                                                                                                                                                                                                            • \n Given quadratic equation in standard form, determine attributes & solutions rounded to nearest hundredth\n <\/li>\n
                                                                                                                                                                                                                                                                                                            • \n Given proportion, solve resulting quadratic equation, b = 0\n <\/li>\n
                                                                                                                                                                                                                                                                                                            • \n Given proportion, solve resulting quadratic equation, b \u2260 0\n <\/li>\n
                                                                                                                                                                                                                                                                                                            • \n Given quadratic equation in standard form, determine exact solutions\n <\/li>\n
                                                                                                                                                                                                                                                                                                            • \n Given quadratic equation in standard form, determine exact solutions, combine like terms first\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                                                                            • \n
                                                                                                                                                                                                                                                                                                              \n Solving Quadratic Equations, Completing the Square\n <\/div>\n
                                                                                                                                                                                                                                                                                                                \n
                                                                                                                                                                                                                                                                                                              • \n Determine constant required to complete the square, a \u2265 1, including fractions\n <\/li>\n
                                                                                                                                                                                                                                                                                                              • \n Solve quadratic equations, complete the square, integers, a = 1, real solutions\n <\/li>\n
                                                                                                                                                                                                                                                                                                              • \n Solve quadratic equations, complete the square, integers, a > 1, real solutions\n <\/li>\n
                                                                                                                                                                                                                                                                                                              • \n Solve quadratic equations, complete the square, integers, a = 1, radical form solutions\n <\/li>\n
                                                                                                                                                                                                                                                                                                              • \n Condensed: Solve quadratic equations, complete the square, integers, real solutions\n <\/li>\n
                                                                                                                                                                                                                                                                                                              • \n Solve quadratic equations, complete the square, a = 1, real solutions\n <\/li>\n
                                                                                                                                                                                                                                                                                                              • \n Solve quadratic equations, complete the square, a > 1, real solutions, multiple choice\n <\/li>\n
                                                                                                                                                                                                                                                                                                              • \n Solve quadratic equations, complete the square, a > 1, real solutions\n <\/li>\n
                                                                                                                                                                                                                                                                                                              • \n Condensed: Solve quadratic equations, complete the square, real solutions\n <\/li>\n
                                                                                                                                                                                                                                                                                                              • \n Solve quadratic equations, complete the square, integers, a = 1, including complex solutions\n <\/li>\n
                                                                                                                                                                                                                                                                                                              • \n Solve quadratic equations, complete the square, integers, a > 1, including complex solutions\n <\/li>\n
                                                                                                                                                                                                                                                                                                              • \n Condensed: Solve quadratic equations, complete the square, integers, including complex solutions\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                                                                              • \n
                                                                                                                                                                                                                                                                                                                \n Solving Quadratic Equations, Determine Solutions\n <\/div>\n
                                                                                                                                                                                                                                                                                                                  \n
                                                                                                                                                                                                                                                                                                                • \n Determine solutions to quadratic equations, a \u2260 \u00b11, b = 0, integer solutions\n <\/li>\n
                                                                                                                                                                                                                                                                                                                • \n Determine solutions to quadratic equations, a \u2260 \u00b11, b = 0, rounded solutions\n <\/li>\n
                                                                                                                                                                                                                                                                                                                • \n Determine solutions to quadratic equations, a \u2260 \u00b11, b = 0, integer or rounded solutions\n <\/li>\n
                                                                                                                                                                                                                                                                                                                • \n Determine fractional solution to quadratic equations, a \u2260 \u00b11, b = 0\n <\/li>\n
                                                                                                                                                                                                                                                                                                                • \n Determine exact solution to quadratic equations, a = \u00b11, b = 0\n <\/li>\n
                                                                                                                                                                                                                                                                                                                • \n Condensed: Determine solutions to quadratic equations, a \u2260 \u00b11, b = 0\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                                                                                • \n
                                                                                                                                                                                                                                                                                                                  \n Application of Solving Quadratic Equations\n <\/div>\n
                                                                                                                                                                                                                                                                                                                    \n
                                                                                                                                                                                                                                                                                                                  • \n Determine or use quadratic equations, real-world context\n <\/li>\n <\/ul>\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                                                                                  • \n
                                                                                                                                                                                                                                                                                                                    \n Solving Quadratic Inequalities\n <\/div>\n
                                                                                                                                                                                                                                                                                                                      \n
                                                                                                                                                                                                                                                                                                                    • \n Solve quadratic inequalities, “and” solutions\n <\/li>\n
                                                                                                                                                                                                                                                                                                                    • \n Solve quadratic inequalities, “or” solutions\n <\/li>\n
                                                                                                                                                                                                                                                                                                                    • \n Condensed: Solve quadratic inequalities\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                                                                                    • \n
                                                                                                                                                                                                                                                                                                                      \n Vertical Motion Problems\n <\/div>\n
                                                                                                                                                                                                                                                                                                                        \n
                                                                                                                                                                                                                                                                                                                      • \n Given initial height & velocity of object in vertical motion, determine function, table, & graph of position\n <\/li>\n
                                                                                                                                                                                                                                                                                                                      • \n Given initial height & velocity of object in vertical motion, determine position function & maximum height\n <\/li>\n
                                                                                                                                                                                                                                                                                                                      • \n Given initial height & velocity of object in vertical motion, determine position function & time to maximum height\n <\/li>\n
                                                                                                                                                                                                                                                                                                                      • \n Given initial height & velocity of object in vertical motion, determine position function & time to ground\n <\/li>\n
                                                                                                                                                                                                                                                                                                                      • \n Given initial height & velocity of object in vertical motion, determine position function & specific time\n <\/li>\n
                                                                                                                                                                                                                                                                                                                      • \n Given height of dropped object, determine position function & specific time\n <\/li>\n
                                                                                                                                                                                                                                                                                                                      • \n Given initial height & negative velocity of object in vertical motion, determine position function & specific time\n <\/li>\n
                                                                                                                                                                                                                                                                                                                      • \n Given initial height at ground & positive velocity of object in vertical motion, determine position function & time to ground\n <\/li>\n
                                                                                                                                                                                                                                                                                                                      • \n Given initial height & velocity of object in vertical motion, determine position function, specific time, & specific height\n <\/li>\n
                                                                                                                                                                                                                                                                                                                      • \n Condensed: Given initial height & velocity of object in vertical motion, determine position function, maximum height, or time to maximum height\n <\/li>\n
                                                                                                                                                                                                                                                                                                                      • \n Condensed: Given initial height & velocity of object in vertical motion, determine position function & specific times\n <\/li>\n
                                                                                                                                                                                                                                                                                                                      • \n Condensed: Given initial height & velocity of object in vertical motion, determine position graph, position function, & specific times\n <\/li>\n <\/ul>\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                                                                                      • \n
                                                                                                                                                                                                                                                                                                                        \n Absolute Value Functions\n <\/div>\n
                                                                                                                                                                                                                                                                                                                          \n
                                                                                                                                                                                                                                                                                                                        • \n
                                                                                                                                                                                                                                                                                                                          \n Solving Absolute Value Equations\n <\/div>\n
                                                                                                                                                                                                                                                                                                                            \n
                                                                                                                                                                                                                                                                                                                          • \n Solve linear absolute value equations\n <\/li>\n
                                                                                                                                                                                                                                                                                                                          • \n Solve linear absolute value equations, extra constant or coefficient\n <\/li>\n
                                                                                                                                                                                                                                                                                                                          • \n Solve linear absolute value equations, variable on both sides\n <\/li>\n
                                                                                                                                                                                                                                                                                                                          • \n Condensed: Solve linear absolute value equations, including extra constant or coefficient\n <\/li>\n
                                                                                                                                                                                                                                                                                                                          • \n Create linear absolute value equations, real-world context\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                                                                                          • \n
                                                                                                                                                                                                                                                                                                                            \n Solving Absolute Value Inequalities\n <\/div>\n
                                                                                                                                                                                                                                                                                                                              \n
                                                                                                                                                                                                                                                                                                                            • \n Given linear absolute value inequality, determine compound inequality\n <\/li>\n
                                                                                                                                                                                                                                                                                                                            • \n Solve & graph linear absolute value inequalities, “and” solutions, including setup\n <\/li>\n
                                                                                                                                                                                                                                                                                                                            • \n Solve & graph linear absolute value inequalities, “or” solutions, including setup\n <\/li>\n
                                                                                                                                                                                                                                                                                                                            • \n Solve & graph linear absolute value inequalities, including setup\n <\/li>\n
                                                                                                                                                                                                                                                                                                                            • \n Condensed: Solve & graph linear absolute value inequalities, including setup\n <\/li>\n
                                                                                                                                                                                                                                                                                                                            • \n Solve & graph linear absolute value inequalities, “and” solutions\n <\/li>\n
                                                                                                                                                                                                                                                                                                                            • \n Solve & graph linear absolute value inequalities, “or” solutions\n <\/li>\n
                                                                                                                                                                                                                                                                                                                            • \n Solve & graph linear absolute value inequalities, extra constant or coefficient, multiple choice\n <\/li>\n
                                                                                                                                                                                                                                                                                                                            • \n Solve & graph linear absolute value inequality, extra coefficient or constant, including setup\n <\/li>\n
                                                                                                                                                                                                                                                                                                                            • \n Solve & graph linear absolute value inequalities, including extra constant or coefficient\n <\/li>\n
                                                                                                                                                                                                                                                                                                                            • \n Condensed: Solve & graph linear absolute value inequalities, including extra constant or coefficient & setup\n <\/li>\n
                                                                                                                                                                                                                                                                                                                            • \n Condensed: Solve & graph linear absolute value inequalities\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                                                                                            • \n
                                                                                                                                                                                                                                                                                                                              \n Graphing Absolute Value Functions\n <\/div>\n
                                                                                                                                                                                                                                                                                                                                \n
                                                                                                                                                                                                                                                                                                                              • \n Determine x- & y-intercepts of absolute value functions\n <\/li>\n
                                                                                                                                                                                                                                                                                                                              • \n Determine minimum & maximum of absolute value functions\n <\/li>\n
                                                                                                                                                                                                                                                                                                                              • \n Identify & graph reflections of absolute value functions\n <\/li>\n
                                                                                                                                                                                                                                                                                                                              • \n Identify & graph vertical & horizontal shifts of absolute value functions\n <\/li>\n
                                                                                                                                                                                                                                                                                                                              • \n Identify & graph vertical & horizontal stretches & compressions of absolute value functions\n <\/li>\n
                                                                                                                                                                                                                                                                                                                              • \n Given absolute value equation, identify description of transformation\n <\/li>\n
                                                                                                                                                                                                                                                                                                                              • \n Graph absolute value functions using all transformations\n <\/li>\n
                                                                                                                                                                                                                                                                                                                              • \n Condensed: Graph absolute value functions using any transformation\n <\/li>\n
                                                                                                                                                                                                                                                                                                                              • \n Graph absolute value functions using vertex & intercepts\n <\/li>\n
                                                                                                                                                                                                                                                                                                                              • \n Condensed: Determine graphical attributes of absolute value functions\n <\/li>\n
                                                                                                                                                                                                                                                                                                                              • \n Compare absolute value functions represented differently\n <\/li>\n
                                                                                                                                                                                                                                                                                                                              • \n Determine points of intersection of absolute value functions\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                                                                                              • \n
                                                                                                                                                                                                                                                                                                                                \n Writing Equation of Absolute Value Functions\n <\/div>\n
                                                                                                                                                                                                                                                                                                                                  \n
                                                                                                                                                                                                                                                                                                                                • \n Given graph, determine absolute value equation\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                • \n Given description of transformation, determine absolute value equation\n <\/li>\n <\/ul>\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                • \n
                                                                                                                                                                                                                                                                                                                                  \n Piecewise & Step Functions\n <\/div>\n
                                                                                                                                                                                                                                                                                                                                    \n
                                                                                                                                                                                                                                                                                                                                  • \n Graph piece-wise functions\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                  • \n Given graph of piece-wise function, determine equation\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                  • \n Graph step functions\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                  • \n Given graph of step function, determine equation\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                  • \n Condensed: Determine graphs & equations of piece-wise & step functions\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                  • \n
                                                                                                                                                                                                                                                                                                                                    \n Cubic Functions\n <\/div>\n
                                                                                                                                                                                                                                                                                                                                      \n
                                                                                                                                                                                                                                                                                                                                    • \n
                                                                                                                                                                                                                                                                                                                                      \n Graphing Cubic Functions\n <\/div>\n
                                                                                                                                                                                                                                                                                                                                        \n
                                                                                                                                                                                                                                                                                                                                      • \n Determine minimum & maximum of cubic functions\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                      • \n Identify & graph reflections of cubic functions\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                      • \n Identify & graph vertical & horizontal shifts of cubic functions\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                      • \n Identify & graph vertical & horizontal stretches & compressions of cubic functions\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                      • \n Graph cubic functions using all transformations\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                      • \n Condensed: Graph cubic functions using any transformation\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                      • \n Condensed: Determine graphical attributes of cubic functions\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                      • \n Graph cubic functions using key points & intercepts\n <\/li>\n <\/ul>\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                      • \n
                                                                                                                                                                                                                                                                                                                                        \n Rational Expressions & Functions\n <\/div>\n
                                                                                                                                                                                                                                                                                                                                          \n
                                                                                                                                                                                                                                                                                                                                        • \n
                                                                                                                                                                                                                                                                                                                                          \n Simplifying Rational Expressions\n <\/div>\n
                                                                                                                                                                                                                                                                                                                                            \n
                                                                                                                                                                                                                                                                                                                                          • \n Simplify rational expressions by factoring GCF, one monomial & one binomial\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                          • \n Simplify rational expressions by factoring GCF, two binomials\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                          • \n Simplify rational expressions by factoring GCF, two binomials, remaining binomials cancel\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                          • \n Simplify rational expressions by factoring GCF, one trinomial or difference of squares\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                          • \n Simplify rational expressions by factoring GCF, trinomials & differences of squares\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                          • \n Simplify rational expressions by factoring GCF, remaining leading coefficient one\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                          • \n Condensed: Simplify rational expressions\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                          • \n Condensed: Simplify rational expressions, including trinomials\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                          • \n
                                                                                                                                                                                                                                                                                                                                            \n Operations with Rational Expressions\n <\/div>\n
                                                                                                                                                                                                                                                                                                                                              \n
                                                                                                                                                                                                                                                                                                                                            • \n Multiply rational expressions\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                            • \n Divide rational expressions\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                            • \n Condensed: Multiply & divide rational expressions\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                            • \n Add rational expressions\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                            • \n Subtract rational expressions\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                            • \n Condensed: Add & subtract rational expressions\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                            • \n Condensed: Add, subtract, multiply, & divide rational expressions\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                            • \n
                                                                                                                                                                                                                                                                                                                                              \n Domain of Rational Functions\n <\/div>\n
                                                                                                                                                                                                                                                                                                                                                \n
                                                                                                                                                                                                                                                                                                                                              • \n Given rational function, determine function value\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                              • \n Identify value that makes rational expression undefined\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                              • \n Determine values that make rational expressions undefined\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                              • \n Determine asymptotic domain restrictions of rational functions\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                              • \n Determine domain & range of rational functions using inequalities, interval notation & set notation\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                              • \n
                                                                                                                                                                                                                                                                                                                                                \n Key Attributes of Rational Functions\n <\/div>\n
                                                                                                                                                                                                                                                                                                                                                  \n
                                                                                                                                                                                                                                                                                                                                                • \n Determine x- & y-intercepts of reciprocal functions\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                • \n Determine symmetry of reciprocal functions\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                • \n Determine asymptotes of reciprocal functions\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                • \n Determine minimum & maximum of reciprocal functions\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                • \n Condensed: Determine graphical attributes of reciprocal functions\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                • \n
                                                                                                                                                                                                                                                                                                                                                  \n Graphing Rational Functions\n <\/div>\n
                                                                                                                                                                                                                                                                                                                                                    \n
                                                                                                                                                                                                                                                                                                                                                  • \n Identify & graph reflections of reciprocal functions\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                  • \n Identify & graph vertical & horizontal shifts of reciprocal functions\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                  • \n Identify & graph vertical & horizontal stretches & compressions of reciprocal functions\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                  • \n Given reciprocal equation, identify description of transformations\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                  • \n Graph reciprocal functions using all transformations\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                  • \n Graph rational functions\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                  • \n Condensed: Graph reciprocal functions using any transformation\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                  • \n Graph reciprocal functions using asymptotes, intercepts, & domain & range\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                  • \n Compare rational functions represented differently\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                  • \n
                                                                                                                                                                                                                                                                                                                                                    \n Solving Rational Equations & Inequalities\n <\/div>\n
                                                                                                                                                                                                                                                                                                                                                      \n
                                                                                                                                                                                                                                                                                                                                                    • \n Solve equations involving rational exponents, one- or two-step\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                    • \n Solve equations involving rational exponents, multi-step\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                    • \n Solve rational equations, one term each side\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                    • \n Solve rational equations, multiple terms on one side\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                    • \n Condensed: Solve rational equations\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                    • \n Condensed: Solve equations involving rational exponents\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                    • \n Determine if solution to rational equation is reasonable\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                    • \n Determine rational equations, real-world context\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                    • \n Determine rational inequalities, real-world context\n <\/li>\n <\/ul>\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                    • \n
                                                                                                                                                                                                                                                                                                                                                      \n Radical Expressions & Functions\n <\/div>\n
                                                                                                                                                                                                                                                                                                                                                        \n
                                                                                                                                                                                                                                                                                                                                                      • \n
                                                                                                                                                                                                                                                                                                                                                        \n Simplifying Radical Expressions\n <\/div>\n
                                                                                                                                                                                                                                                                                                                                                          \n
                                                                                                                                                                                                                                                                                                                                                        • \n Identify steps to simplify square roots\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                        • \n Simplify square roots\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                        • \n Simplify square roots, coefficient greater than one\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                        • \n Given square root expression, evaluate for specific value\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                        • \n Condensed: Simplify square roots, including algebraic expressions\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                        • \n Evaluate perfect cube roots\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                        • \n Solve perfect cube root equations\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                        • \n Condensed: Determine cube roots of perfect cubes\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                        • \n Compare perfect square & cube roots\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                        • \n Simplify radical expression raised to power that is multiple of index\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                        • \n Simplify radical expressions, perfect powers\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                        • \n
                                                                                                                                                                                                                                                                                                                                                          \n Operations with Radicals\n <\/div>\n
                                                                                                                                                                                                                                                                                                                                                            \n
                                                                                                                                                                                                                                                                                                                                                          • \n Add & subtract radical expressions, one or two variables, simplified radicals\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                          • \n Add & subtract radical expressions, one or two variables, radicals to simplify\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                          • \n Condensed: Add & subtract radical expressions\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                          • \n Multiply radical expressions, numbers & variables\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                          • \n
                                                                                                                                                                                                                                                                                                                                                            \n Convert Radicals & Rationals\n <\/div>\n
                                                                                                                                                                                                                                                                                                                                                              \n
                                                                                                                                                                                                                                                                                                                                                            • \n Convert from radical to rational exponent, single value in radicand\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                            • \n Convert from radical to rational exponent, algebraic term in radicand\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                            • \n Convert from radical to rational exponent, algebraic term in radicand, algebraic multiplier\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                            • \n Condensed: Convert from radical to rational exponent\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                            • \n
                                                                                                                                                                                                                                                                                                                                                              \n Solving Radical Equations\n <\/div>\n
                                                                                                                                                                                                                                                                                                                                                                \n
                                                                                                                                                                                                                                                                                                                                                              • \n
                                                                                                                                                                                                                                                                                                                                                                \n Square Root\n <\/div>\n
                                                                                                                                                                                                                                                                                                                                                                  \n
                                                                                                                                                                                                                                                                                                                                                                • \n Solve perfect square root equations\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                • \n Condensed: Determine square roots of perfect squares\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                • \n Solve square root equations, square root = #\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                • \n Solve square root equations, square root = square root\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                • \n Solve square root equations, add & subtract from root\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                • \n Solve square root equations, divide by coefficient of root\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                • \n Solve square root equations, multi-step\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                • \n Solve square root equations, square root = x \u00b1 #\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                • \n Solve square root equations, square root \u00b1 square root = #\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                • \n Condensed: Solve square root equations, one-step & two-step\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                • \n Condensed: Solve square root equations\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                • \n Identify extraneous solutions of square root equations\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                • \n
                                                                                                                                                                                                                                                                                                                                                                  \n Cube Root\n <\/div>\n
                                                                                                                                                                                                                                                                                                                                                                    \n
                                                                                                                                                                                                                                                                                                                                                                  • \n Solve perfect cube root equations\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                  • \n Solve cube root equations, cube root = #\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                  • \n Solve cube root equations, cube root = cube root\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                  • \n Solve cube root equations, multi-step\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                  • \n Solve cube root equations, cube root = variable\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                  • \n Condensed: Solve cube root equations, one-step & two-step\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                  • \n
                                                                                                                                                                                                                                                                                                                                                                    \n Square Root & Cube Root Mixed\n <\/div>\n
                                                                                                                                                                                                                                                                                                                                                                      \n
                                                                                                                                                                                                                                                                                                                                                                    • \n Compare perfect square & cube roots\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                    • \n Condensed: Evaluate & compare perfect square & cube roots\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                    • \n Condensed: Solve square root & cube root equations\n <\/li>\n <\/ul>\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                    • \n
                                                                                                                                                                                                                                                                                                                                                                      \n Key Attributes of Radical Functions\n <\/div>\n
                                                                                                                                                                                                                                                                                                                                                                        \n
                                                                                                                                                                                                                                                                                                                                                                      • \n Determine x- and y-intercepts of square root functions\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                      • \n Determine minimum & maximum of square root functions\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                      • \n Condensed: Determine graphical attributes of square root functions\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                      • \n Determine x- & y-intercepts of cube root functions\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                      • \n Determine minimum & maximum of cube root functions\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                      • \n Condensed: Determine graphical attributes of cube root functions\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                      • \n
                                                                                                                                                                                                                                                                                                                                                                        \n Transformations of Radical Functions\n <\/div>\n
                                                                                                                                                                                                                                                                                                                                                                          \n
                                                                                                                                                                                                                                                                                                                                                                        • \n Identify & graph reflections of square root functions\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                        • \n Identify & graph vertical & horizontal shifts of square root functions\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                        • \n Identify & graph vertical & horizontal stretches & compressions of square root functions\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                        • \n Given square root equation, identify description of transformations\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                        • \n Identify & graph reflections of cube root functions\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                        • \n Identify & graph vertical & horizontal shifts of cube root functions\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                        • \n Identify & graph vertical & horizontal stretches & compressions of cube root functions\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                        • \n Given cube root equation, identify descriptions of transformations\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                        • \n Compare radical functions represented differently\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                        • \n
                                                                                                                                                                                                                                                                                                                                                                          \n Graphing Radical Functions\n <\/div>\n
                                                                                                                                                                                                                                                                                                                                                                            \n
                                                                                                                                                                                                                                                                                                                                                                          • \n Graph square root functions using key point & intercepts\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                          • \n Graph square root functions using all transformations\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                          • \n Condensed: Graph square root functions using any transformation\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                          • \n Graph cube root functions using key points & intercepts\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                          • \n Graph cube root functions using all transformations\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                          • \n Condensed: Graph cube root functions using any transformation\n <\/li>\n <\/ul>\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                          • \n
                                                                                                                                                                                                                                                                                                                                                                            \n Mixed Functions\n <\/div>\n
                                                                                                                                                                                                                                                                                                                                                                              \n
                                                                                                                                                                                                                                                                                                                                                                            • \n Calculate average rate of change of function from table\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                            • \n Calculate average rate of change of function from graph\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                            • \n Calculate average rate of change of a function from an equation\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                            • \n Calculate average rate of change of function, real-world context\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                            • \n Condensed: Calculate average rate of change of function\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                            • \n Given graph, identify various functions\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                            • \n Given various functions, identify graph\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                            • \n Condensed: Graph various functions\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                            • \n Determine domain & range of various functions using various notations\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                            • \n
                                                                                                                                                                                                                                                                                                                                                                              \n Logarithms\n <\/div>\n
                                                                                                                                                                                                                                                                                                                                                                                \n
                                                                                                                                                                                                                                                                                                                                                                              • \n
                                                                                                                                                                                                                                                                                                                                                                                \n Evaluating Logarithmic Expressions\n <\/div>\n
                                                                                                                                                                                                                                                                                                                                                                                  \n
                                                                                                                                                                                                                                                                                                                                                                                • \n Evaluate log expressions, whole number base\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                • \n Evaluate log expressions, fractional bases\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                • \n Evaluate log expressions, using change of base\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                • \n Evaluate log expressions, natural log\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                • \n Condensed: Evaluate log expressions\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                • \n
                                                                                                                                                                                                                                                                                                                                                                                  \n Solving Logarithmic Equations\n <\/div>\n
                                                                                                                                                                                                                                                                                                                                                                                    \n
                                                                                                                                                                                                                                                                                                                                                                                  • \n Solve log equations, log = #\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                  • \n Solve log equations, log = log\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                  • \n Solve log equations, log + log = #, same base, using product rule\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                  • \n Solve log equations, log – log = #, same base, using quotient rule\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                  • \n Condensed: Solve log equations, log = #, using product & quotient rules\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                  • \n Condensed: Solve log equations\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                  • \n Solve natural log equations, ln = #\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                  • \n Solve natural log equations, ln = ln\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                  • \n Solve natural log equations, ln + ln = #\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                  • \n Solve natural log equations, ln – ln = #\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                  • \n Condensed: Solve natural log equations\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                  • \n Determine if solution to logarithmic equation is reasonable\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                  • \n
                                                                                                                                                                                                                                                                                                                                                                                    \n Condensing & Expanding Logarithms\n <\/div>\n
                                                                                                                                                                                                                                                                                                                                                                                      \n
                                                                                                                                                                                                                                                                                                                                                                                    • \n Apply power rule to expand or condense log expressions\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                    • \n Apply product rule to expand or condense log expressions\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                    • \n Apply quotient rule to expand or condense log expressions\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                    • \n Apply product, quotient, & power rules to expand or condense log expressions\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                    • \n Condensed: Expand or condense log expressions\n <\/li>\n <\/ul>\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                    • \n
                                                                                                                                                                                                                                                                                                                                                                                      \n Exponential & Logarithmic Functions\n <\/div>\n
                                                                                                                                                                                                                                                                                                                                                                                        \n
                                                                                                                                                                                                                                                                                                                                                                                      • \n
                                                                                                                                                                                                                                                                                                                                                                                        \n Exponential Functions\n <\/div>\n
                                                                                                                                                                                                                                                                                                                                                                                          \n
                                                                                                                                                                                                                                                                                                                                                                                        • \n
                                                                                                                                                                                                                                                                                                                                                                                          \n Evaluating Exponential Functions\n <\/div>\n
                                                                                                                                                                                                                                                                                                                                                                                            \n
                                                                                                                                                                                                                                                                                                                                                                                          • \n Given exponential function, determine function value, non-negative input\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                          • \n Given exponential function, determine function value, negative input\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                          • \n Given exponential function, determine function value, rational coefficient\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                          • \n Given exponential function, determine function value, rational base\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                          • \n Given exponential function, determine function value, rational base & coefficient\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                          • \n
                                                                                                                                                                                                                                                                                                                                                                                            \n Domain & Range of Exponential Functions\n <\/div>\n
                                                                                                                                                                                                                                                                                                                                                                                              \n
                                                                                                                                                                                                                                                                                                                                                                                            • \n Given equation, determine domain & range of exponential function \n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                            • \n Determine domain & range of discrete exponential functions\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                            • \n Determine restricted domain & range of exponential functions\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                            • \n Given verbal description & graph, determine domain & range of exponential function \n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                            • \n Determine domain & range of discrete exponential functions, real-world context\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                            • \n
                                                                                                                                                                                                                                                                                                                                                                                              \n Graphing Exponential Functions\n <\/div>\n
                                                                                                                                                                                                                                                                                                                                                                                                \n
                                                                                                                                                                                                                                                                                                                                                                                              • \n Given graph, identify solution to exponential equation\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                              • \n Given exponential growth function, determine graph\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                              • \n Graph exponential functions using all transformations\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                              • \n Given exponential growth function, determine graph, includes fractional coefficients\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                              • \n Given exponential growth or decay function, determine graph, includes fractional coefficients\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                              • \n Given equation, graph exponential function\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                              • \n Given equation, graph exponential function, including base e\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                              • \n Given graph, determine equation of exponential function\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                              • \n Compare exponential functions represented differently\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                              • \n
                                                                                                                                                                                                                                                                                                                                                                                                \n Identifying Key Features of Exponential Functions\n <\/div>\n
                                                                                                                                                                                                                                                                                                                                                                                                  \n
                                                                                                                                                                                                                                                                                                                                                                                                • \n Determine x-intercepts\/zeros & y-intercepts of exponential functions\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                • \n Determine y-intercept of exponential function, real-world context\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                • \n Determine minimum & maximum of exponential functions\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                • \n Determine asymptote of exponential functions\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                • \n Given graph, determine asymptote of exponential function\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                • \n Given exponential equation, determine asymptote\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                • \n Determine asymptote of exponential functions, real-world context\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                • \n Determine end behavior of exponential functions\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                • \n Condensed: Determine graphical attributes of exponential functions\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                • \n Graph exponential functions using all transformations\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                • \n Condensed: Graph exponential functions & identify transformations\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                • \n
                                                                                                                                                                                                                                                                                                                                                                                                  \n Transformations of Exponential Functions\n <\/div>\n
                                                                                                                                                                                                                                                                                                                                                                                                    \n
                                                                                                                                                                                                                                                                                                                                                                                                  • \n Identify & graph reflections of exponential functions\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                  • \n Identify & graph vertical & horizontal shifts of exponential functions\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                  • \n Identify & graph vertical & horizontal stretches & compressions of exponential functions\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                  • \n Given table, identify transformations of exponential functions\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                  • \n Given exponential equation, identify description of transformations\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                  • \n
                                                                                                                                                                                                                                                                                                                                                                                                    \n Writing Equations of Exponential Functions\n <\/div>\n
                                                                                                                                                                                                                                                                                                                                                                                                      \n
                                                                                                                                                                                                                                                                                                                                                                                                    • \n Given table, determine linear or exponential growth function\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                    • \n Given table, determine exponential growth function\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                    • \n Given table, determine exponential decay function\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                    • \n Given graph, determine equation of exponential function\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                    • \n
                                                                                                                                                                                                                                                                                                                                                                                                      \n Solving Exponential Equations\n <\/div>\n
                                                                                                                                                                                                                                                                                                                                                                                                        \n
                                                                                                                                                                                                                                                                                                                                                                                                      • \n Solve exponential equations, no logs required\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                      • \n Solve exponential equations, common bases given\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                      • \n Solve exponential equations, both bases reduce to common base\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                      • \n Solve simple exponential equations\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                      • \n Solve exponential equations, one base reduces to common base\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                      • \n Solve exponential equations, two different bases, no common base possible\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                      • \n Solve exponential equations, one variable & one base\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                      • \n Solve exponential equations, base e\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                      • \n Create equivalent exponential expressions using exponent properties\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                      • \n
                                                                                                                                                                                                                                                                                                                                                                                                        \n Application of Exponential Functions\n <\/div>\n
                                                                                                                                                                                                                                                                                                                                                                                                          \n
                                                                                                                                                                                                                                                                                                                                                                                                        • \n Calculate investment value, annual compounding\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                        • \n Calculate depreciating asset value, annual compounding\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                        • \n Calculate investment value, various compounding\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                        • \n Condensed: Calculate investment & depreciating asset values, annual compounding\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                        • \n Exponential growth & decay, real-world context\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                        • \n Determine exponential function, real-world context\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                        • \n Determine asymptote of exponential functions, real-world context\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                        • \n Given table, determine attributes of exponential function\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                        • \n Interpret values in exponential functions, real-world context\n <\/li>\n <\/ul>\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                        • \n
                                                                                                                                                                                                                                                                                                                                                                                                          \n Logarithmic Functions\n <\/div>\n
                                                                                                                                                                                                                                                                                                                                                                                                            \n
                                                                                                                                                                                                                                                                                                                                                                                                          • \n
                                                                                                                                                                                                                                                                                                                                                                                                            \n Graphing Logarithmic Functions\n <\/div>\n
                                                                                                                                                                                                                                                                                                                                                                                                              \n
                                                                                                                                                                                                                                                                                                                                                                                                            • \n Identify & graph reflections of log functions\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                            • \n Identify & graph vertical & horizontal shifts of log functions\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                            • \n Identify & graph vertical & horizontal stretches & compressions of log functions\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                            • \n Given log equation, identify description of transformations\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                            • \n Graph log functions using all transformations\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                            • \n Given equation, graph log function\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                            • \n Condensed: Graph log functions & identify transformations\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                            • \n
                                                                                                                                                                                                                                                                                                                                                                                                              \n Identifying Key Features of Logarithmic Functions\n <\/div>\n
                                                                                                                                                                                                                                                                                                                                                                                                                \n
                                                                                                                                                                                                                                                                                                                                                                                                              • \n Determine x-intercepts\/zeros & y-intercepts of log functions\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                              • \n Determine asymptote of log functions\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                              • \n Determine minimum & maximum of log functions\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                              • \n Determine end behavior of log functions\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                              • \n Given table, determine attributes of log function\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                              • \n Condensed: Determine graphical attributes of log functions\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                              • \n
                                                                                                                                                                                                                                                                                                                                                                                                                \n Writing Equations of Logarithmic Functions\n <\/div>\n
                                                                                                                                                                                                                                                                                                                                                                                                                  \n
                                                                                                                                                                                                                                                                                                                                                                                                                • \n Given graph, determine equation of log function\n <\/li>\n <\/ul>\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                • \n
                                                                                                                                                                                                                                                                                                                                                                                                                  \n Exponential & Logarithmic Equations\n <\/div>\n
                                                                                                                                                                                                                                                                                                                                                                                                                    \n
                                                                                                                                                                                                                                                                                                                                                                                                                  • \n Given log equation, determine exponential equation\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                  • \n Given exponential equation, determine log equation\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                  • \n Condensed: Convert between exponential & log equations\n <\/li>\n <\/ul>\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                  • \n
                                                                                                                                                                                                                                                                                                                                                                                                                    \n Direct & Inverse Variation\n <\/div>\n
                                                                                                                                                                                                                                                                                                                                                                                                                      \n
                                                                                                                                                                                                                                                                                                                                                                                                                    • \n
                                                                                                                                                                                                                                                                                                                                                                                                                      \n Direct & Inverse Variation\n <\/div>\n
                                                                                                                                                                                                                                                                                                                                                                                                                        \n
                                                                                                                                                                                                                                                                                                                                                                                                                      • \n
                                                                                                                                                                                                                                                                                                                                                                                                                        \n Direct & Inverse Variation, Multiple Choice\n <\/div>\n
                                                                                                                                                                                                                                                                                                                                                                                                                          \n
                                                                                                                                                                                                                                                                                                                                                                                                                        • \n Determine direct variation table, multiple choice\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                        • \n Determine direct variation equation, multiple choice\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                        • \n Determine inverse variation table, multiple choice\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                        • \n Determine variation equation type, multiple choice\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                        • \n Determine direct or inverse variation, multiple choice\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                        • \n
                                                                                                                                                                                                                                                                                                                                                                                                                          \n Direct & Inverse Variation, Determine Equation or Missing Number\n <\/div>\n
                                                                                                                                                                                                                                                                                                                                                                                                                            \n
                                                                                                                                                                                                                                                                                                                                                                                                                          • \n Given point & “y varies directly with x”, determine equation\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                          • \n Given point & “y varies directly with x & inversely with z”, determine equation\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                          • \n Given point, “y varies directly with x”, & another value, determine missing number\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                          • \n Given point, “y varies directly with x”, & another value, determine equation & missing number\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                          • \n Given point, “y varies directly with x”, & another value, determine equation & missing number, rational numbers\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                          • \n Given point & “y varies inversely with x”, determine equation\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                          • \n Given point, “y varies jointly with x & z”, & another value, determine equation\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                          • \n Given point, “y varies inversely with x”, & another value, determine equation & missing number\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                          • \n Condensed: Determine direct, inverse, joint, or combined variation equations\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                          • \n Determine direct variation table, multiple choice\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                          • \n Determine inverse variation table, multiple choice\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                          • \n Determine variation equation type, multiple choice\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                          • \n Determine direct or inverse variation, multiple choice\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                          • \n Given point & “y varies directly with x”, determine equation\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                          • \n Given point & “y varies inversely with x”, determine equation\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                          • \n Given point, “y varies directly with x”, & another value, determine equation & missing number\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                          • \n Given point, “y varies inversely with x”, & another value, determine equation & missing number\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                          • \n Determine direct variation equation, multiple choice\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                          • \n Given point, “y varies directly with x”, & another value, determine equation & missing number, rational numbers\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                          • \n Given point & “y varies directly with x & inversely with z”, determine equation\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                          • \n Given point, “y varies directly with x”, & another value, determine missing number\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                          • \n Given point, “y varies jointly with x & z”, & another value, determine equation\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                          • \n Condensed: Determine direct, inverse, joint, or combined variation equations\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                          • \n
                                                                                                                                                                                                                                                                                                                                                                                                                            \n Application of Direct & Inverse Variation\n <\/div>\n
                                                                                                                                                                                                                                                                                                                                                                                                                              \n
                                                                                                                                                                                                                                                                                                                                                                                                                            • \n Solve word problems involving direct variation \n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                            • \n Determine & apply inverse variation equation, real-world context\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                            • \n Solve word problems involving joint variation\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                            • \n Solve word problems involving combined variation\n <\/li>\n <\/ul>\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                            • \n
                                                                                                                                                                                                                                                                                                                                                                                                                              \n Sequences\n <\/div>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                \n
                                                                                                                                                                                                                                                                                                                                                                                                                              • \n
                                                                                                                                                                                                                                                                                                                                                                                                                                \n Arithmetic Sequences\n <\/div>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                  \n
                                                                                                                                                                                                                                                                                                                                                                                                                                • \n Determine terms in arithmetic sequences\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                • \n Given arithmetic sequence, determine common difference & next term\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                • \n Given formula, determine specific term of arithmetic sequence\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                • \n Determine common difference, first term, & formula of arithmetic sequences\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                • \n Condensed: Determine formula & specific terms of arithmetic sequences\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                • \n
                                                                                                                                                                                                                                                                                                                                                                                                                                  \n Geometric Sequences\n <\/div>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                    \n
                                                                                                                                                                                                                                                                                                                                                                                                                                  • \n Given formula, determine specific term of geometric sequence\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                  • \n Determine formula & specific term of geometric sequences\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                  • \n Condensed: Determine formula or specific term of geometric sequences\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                  • \n
                                                                                                                                                                                                                                                                                                                                                                                                                                    \n Application of Sequences\n <\/div>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                      \n
                                                                                                                                                                                                                                                                                                                                                                                                                                    • \n Given table, determine difference in terms in arithmetic sequence, real-world context\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                    • \n Identify arithmetic & geometric sequences & determine common difference or common ratio\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                    • \n Given formula, determine terms in arithmetic & geometric sequences\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                    • \n Condensed: Identify arithmetic & geometric sequences & determine components of sequences\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                    • \n Determine function & specific term for arithmetic & geometric sequences, real-world context\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                    • \n
                                                                                                                                                                                                                                                                                                                                                                                                                                      \n Finite Geometric Series\n <\/div>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                        \n
                                                                                                                                                                                                                                                                                                                                                                                                                                      • \n Determine sum of finite geometric series\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                      • \n Determine sum of finite geometric series, real-world context\n <\/li>\n <\/ul>\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                      • \n
                                                                                                                                                                                                                                                                                                                                                                                                                                        \n Data Analysis\n <\/div>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                          \n
                                                                                                                                                                                                                                                                                                                                                                                                                                        • \n
                                                                                                                                                                                                                                                                                                                                                                                                                                          \n Samples & Populations\n <\/div>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                            \n
                                                                                                                                                                                                                                                                                                                                                                                                                                          • \n Identify samples & populations\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                          • \n Identify biased samples & questions\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                          • \n Determine sample spaces\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                          • \n Identify statistical questions\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                          • \n Identify variables of interest\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                          • \n Identify statistical inferences\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                          • \n Condensed: Identify samples, populations, variables of interest, & statistical inferences\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                          • \n Identify experiments & observational studies\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                          • \n Identify systematic, cluster, stratified, & simple random samples\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                          • \n Identify simulations used to acquire simple random samples\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                          • \n Identify simulations to model probability events\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                          • \n Identify descriptive & inferential statistics\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                          • \n
                                                                                                                                                                                                                                                                                                                                                                                                                                            \n Probability\n <\/div>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                              \n
                                                                                                                                                                                                                                                                                                                                                                                                                                            • \n
                                                                                                                                                                                                                                                                                                                                                                                                                                              \n Addition Rule\n <\/div>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                \n
                                                                                                                                                                                                                                                                                                                                                                                                                                              • \n Given visual model, determine “or” probability\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                              • \n Given visual model, determine “or” probability as fraction, decimal, or percent\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                              • \n Determine “or” probabilities as fractions \n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                              • \n Determine “or” probabilities as fractions, decimals, or percents\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                              • \n Determine “or” probabilities\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                              • \n Determine “or” probabilities\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                              • \n Determine “or” probabilities, including “and” situations\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                              • \n
                                                                                                                                                                                                                                                                                                                                                                                                                                                \n Multiplication Rule\n <\/div>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                  \n
                                                                                                                                                                                                                                                                                                                                                                                                                                                • \n Given visual model, determine “and” probability as fraction, decimal, or percent, dependent events\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                • \n Determine probabilities of flipping coins & rolling die\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                • \n Determine probabilities of flipping coins specified number of times\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                • \n Determine “and” probabilities, independent events, visuals provided\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                • \n Determine “and” probabilities, independent events, same sample space\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                • \n Determine “and” probabilities, independent events, two distinct sample spaces\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                • \n Determine “and” probabilities, dependent events, multiple choice\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                • \n Determine “and” probabilities, dependent events\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                • \n Determine “and” probabilities, independent & dependent events\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                • \n Determine “and” probabilities, independent & dependent events, including complementary events\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                • \n
                                                                                                                                                                                                                                                                                                                                                                                                                                                  \n Conditional Probability\n <\/div>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                    \n
                                                                                                                                                                                                                                                                                                                                                                                                                                                  • \n Determine conditional probabilities from two-way frequency tables\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                  • \n Determine conditional probabilities, including two-way frequency tables\n <\/li>\n <\/ul>\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                  • \n
                                                                                                                                                                                                                                                                                                                                                                                                                                                    \n Permutations\n <\/div>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                      \n
                                                                                                                                                                                                                                                                                                                                                                                                                                                    • \n Given visual model, determine permutations, specified items predetermined\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                    • \n Determine permutation of letters in word, nondistinct letters\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                    • \n Determine permutation of letters in word, distinct letters\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                    • \n Condensed: Determine permutation of letters in word, including nondistinct letters\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                    • \n Determine permutations, one nondistinct item, real-world context\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                    • \n Determine permutations, multiple nondistinct items, real-world context\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                    • \n Determine permutations using all items, real-world context\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                    • \n Determine permutations, real-world context\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                    • \n
                                                                                                                                                                                                                                                                                                                                                                                                                                                      \n Combinations\n <\/div>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                        \n
                                                                                                                                                                                                                                                                                                                                                                                                                                                      • \n Given lists, determine combinations, choose from one list, real-world context\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                      • \n Given lists, determine combinations, choose from two lists, real-world context\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                      • \n Determine number of combinations using fundamental counting principle, real-world context\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                      • \n Determine number of combinations using fundamental counting principle, including repeated letters & digits, real-world context\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                      • \n Determine combinations, real-world context\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                      • \n
                                                                                                                                                                                                                                                                                                                                                                                                                                                        \n Determine z-Score & Probability\n <\/div>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                          \n
                                                                                                                                                                                                                                                                                                                                                                                                                                                        • \n Given mean & standard deviation, determine z-score, real-world context\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                        • \n Given z-score, determine probability\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                        • \n Given mean, determine z-score & probability, real-world context\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                        • \n Given proportion, determine z-score & probability, real-world context\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                        • \n Condensed: Given mean or proportion, determine z-score & probability, real-world context\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                        • \n
                                                                                                                                                                                                                                                                                                                                                                                                                                                          \n Confidence Intervals\n <\/div>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                            \n
                                                                                                                                                                                                                                                                                                                                                                                                                                                          • \n Determine margin of error for confidence interval\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                          • \n Given sample data, estimate population mean using confidence intervals\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                          • \n Given sample data, estimate population proportion using confidence intervals\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                          • \n Condensed: Given sample data, estimate population proportion or mean using confidence intervals\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                          • \n
                                                                                                                                                                                                                                                                                                                                                                                                                                                            \n Normal Distributions\n <\/div>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                              \n
                                                                                                                                                                                                                                                                                                                                                                                                                                                            • \n
                                                                                                                                                                                                                                                                                                                                                                                                                                                              \n Determine Test Statistic or Hypotheses, One Mean or Proportion\n <\/div>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                                \n
                                                                                                                                                                                                                                                                                                                                                                                                                                                              • \n Determine test statistics, one mean\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                              • \n Determine test statistics, one proportion\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                              • \n Condensed: Determine test statistics, one mean or proportion\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                              • \n Identify hypotheses for hypothesis test, one mean\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                              • \n Identify hypotheses for hypothesis test, one proportion\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                              • \n Condensed: Identify hypotheses for hypothesis test, one mean or proportion\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                              • \n
                                                                                                                                                                                                                                                                                                                                                                                                                                                                \n Determine Test Statistic or Hypotheses, Two Means or Proportions\n <\/div>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                                  \n
                                                                                                                                                                                                                                                                                                                                                                                                                                                                • \n Determine test statistics, two means\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                                • \n Determine test statistics, two proportions\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                                • \n Condensed: Determine test statistics, two means or proportions\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                                • \n Identify hypotheses for hypothesis test, two means\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                                • \n Identify hypotheses for hypothesis test, two proportions\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                                • \n Condensed: Identify hypotheses for hypothesis test, two means or proportions\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                                • \n
                                                                                                                                                                                                                                                                                                                                                                                                                                                                  \n Steps in Hypothesis Testing, One Mean or Proportion\n <\/div>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                                    \n
                                                                                                                                                                                                                                                                                                                                                                                                                                                                  • \n Identify & determine hypothesis test steps, one mean\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                                  • \n Identify & determine hypothesis test steps, one proportion\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                                  • \n Condensed: Identify & determine hypothesis test steps, one mean or proportion\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                                  • \n Determine critical z-score & p-value\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                                  • \n
                                                                                                                                                                                                                                                                                                                                                                                                                                                                    \n Steps in Hypothesis Testing, Two Means or Proportions\n <\/div>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                                      \n
                                                                                                                                                                                                                                                                                                                                                                                                                                                                    • \n Identify & determine hypothesis test steps, two means\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                                    • \n Identify & determine hypothesis test steps, two proportions\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                                    • \n Condensed: Identify & determine hypothesis test steps, two means or proportions\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                                    • \n
                                                                                                                                                                                                                                                                                                                                                                                                                                                                      \n Determine Conclusions\n <\/div>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                                        \n
                                                                                                                                                                                                                                                                                                                                                                                                                                                                      • \n Determine conclusion from statistical summaries\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                                      • \n Given critical z-score & test statistic, determine conclusion for null hypothesis\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                                      • \n Identify hypotheses for hypothesis test, one mean\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                                      • \n Identify hypotheses for hypothesis test, one proportion\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                                      • \n Condensed: Identify hypotheses for hypothesis test, one mean or proportion\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                                      • \n Identify hypotheses for hypothesis test, two means\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                                      • \n Identify hypotheses for hypothesis test, two proportions\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                                      • \n Condensed: Identify hypotheses for hypothesis test, two means or proportions\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                                      • \n Determine test statistics, one mean\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                                      • \n Determine test statistics, one proportion\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                                      • \n Determine test statistics, two proportions\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                                      • \n Condensed: Determine test statistics, one mean or proportion\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                                      • \n Determine critical z-score & p-value\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                                      • \n Given critical z-score & test statistic, determine conclusion for null hypothesis\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                                      • \n Determine test statistics, two means\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                                      • \n Identify & determine hypothesis test steps, two means\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                                      • \n Condensed: Identify & determine hypothesis test steps, two means or proportions\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                                      • \n Identify & determine hypothesis test steps, two proportions\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                                      • \n Identify & determine hypothesis test steps, one proportion\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                                      • \n
                                                                                                                                                                                                                                                                                                                                                                                                                                                                        \n Regression\n <\/div>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                                          \n
                                                                                                                                                                                                                                                                                                                                                                                                                                                                        • \n Determine linear regression equations, calculator expected\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                                        • \n Determine exponential regression equations, calculator expected\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                                        • \n Determine quadratic regression equations, calculator expected\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                                        • \n Given table, use technology to determine radical equation\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                                        • \n Given regression equation, determine predicted value\n <\/li>\n <\/ul>\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                                        • \n
                                                                                                                                                                                                                                                                                                                                                                                                                                                                          \n Trigonometry\n <\/div>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                                            \n
                                                                                                                                                                                                                                                                                                                                                                                                                                                                          • \n
                                                                                                                                                                                                                                                                                                                                                                                                                                                                            \n Graphing Trigonometric Functions\n <\/div>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                                              \n
                                                                                                                                                                                                                                                                                                                                                                                                                                                                            • \n Given graph or equation, determine amplitude of trig function\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                                            • \n Given graph or equation, determine midline of trig function\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                                            • \n Given graph or equation, determine period of trig function\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                                            • \n Condensed: Given graph or equation, determine characteristics of trig function\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                                            • \n Determine graph of trig functions, sin, one transformation\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                                            • \n Determine graph of trig functions, sin, multiple transformations\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                                            • \n Determine graph of trig functions, cos, one transformation\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                                            • \n Determine graph of trig functions, cos, multiple transformations\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                                            • \n Determine graph of trig functions, tan & cot\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                                            • \n Determine graph of trig functions, sec & csc\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                                            • \n Identify trigonometric functions to model periodic data, real-world context\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                                            • \n
                                                                                                                                                                                                                                                                                                                                                                                                                                                                              \n Trigonometric Ratios\n <\/div>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                \n
                                                                                                                                                                                                                                                                                                                                                                                                                                                                              • \n Identify definitions of trig functions\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                                              • \n Given right triangle, determine missing side & trig ratio, sin, cos, & tan\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                                              • \n Given right triangle, determine missing side & trig ratio, cot, sec, & csc\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                                              • \n Determine relationship between trig ratios of sides of similar triangles, sin, cos, & tan\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                                              • \n Condensed: Given right triangle, determine missing side & trig ratio\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                                              • \n
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                \n Trigonometric Identities\n <\/div>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  \n
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                • \n Determine missing steps in proofs of Pythagorean identities\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                • \n Given graph or equation, determine period of trig function\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                • \n Given graph or equation, determine midline of trig function\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                • \n Given graph or equation, determine amplitude of trig function\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                • \n Condensed: Given graph or equation, determine characteristics of trig function\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                • \n Determine graph of trig functions, sin, one transformation\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                • \n Determine graph of trig functions, sin, multiple transformations\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                • \n Determine graph of trig functions, cos, one transformation\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                • \n Determine graph of trig functions, cos, multiple transformations\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                • \n Determine graph of trig functions, tan & cot\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                • \n Determine graph of trig functions, sec & csc\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                • \n Identify trigonometric functions to model periodic data, real-world context\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                • \n Identify definitions of trig functions\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                • \n Given right triangle, determine missing side & trig ratio, sin, cos, & tan\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                • \n Given right triangle, determine missing side & trig ratio, cot, sec, & csc\n <\/li>\n <\/ul>\n <\/li>\n <\/ul>\n<\/div>\n\n\n\n

                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  <\/p>\n","protected":false},"excerpt":{"rendered":"

                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  Algebra 2 Skills VIEW ALL SKILLS Algebra Foundations Real Number System & Properties Determine relationships between subsets of real numbers Determine relationships between subsets of rational numbers Determine result of adding & multiplying rational & irrational numbers Order real numbers, no exponents Order real numbers, positive exponents, percents are whole, including real-world context Order real…<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_kad_post_transparent":"","_kad_post_title":"","_kad_post_layout":"","_kad_post_sidebar_id":"","_kad_post_content_style":"","_kad_post_vertical_padding":"","_kad_post_feature":"","_kad_post_feature_position":"","_kad_post_header":false,"_kad_post_footer":false,"footnotes":""},"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/getmoremath.com\/wp-json\/wp\/v2\/pages\/57378"}],"collection":[{"href":"https:\/\/getmoremath.com\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/getmoremath.com\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/getmoremath.com\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/getmoremath.com\/wp-json\/wp\/v2\/comments?post=57378"}],"version-history":[{"count":1,"href":"https:\/\/getmoremath.com\/wp-json\/wp\/v2\/pages\/57378\/revisions"}],"predecessor-version":[{"id":58151,"href":"https:\/\/getmoremath.com\/wp-json\/wp\/v2\/pages\/57378\/revisions\/58151"}],"wp:attachment":[{"href":"https:\/\/getmoremath.com\/wp-json\/wp\/v2\/media?parent=57378"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}