{"id":57387,"date":"2022-03-03T17:46:32","date_gmt":"2022-03-04T01:46:32","guid":{"rendered":"https:\/\/origin.getmoremath.com\/?page_id=57387"},"modified":"2023-10-19T00:09:38","modified_gmt":"2023-10-19T00:09:38","slug":"math2","status":"publish","type":"page","link":"https:\/\/getmoremath.com\/math2\/","title":{"rendered":"Math 2 Skills"},"content":{"rendered":"\n

Math 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 Classifying Rational & Irrational Numbers\n <\/div>\n
        \n
      • \n Classify numbers as rational or irrational\n <\/li>\n
      • \n Classify rational numbers by definitions\n <\/li>\n
      • \n Classify rational numbers using graphic organizers\n <\/li>\n
      • \n Classify rational numbers, including graphic organizers\n <\/li>\n
      • \n Determine result of adding & multiplying rational & irrational numbers\n <\/li>\n <\/ul>\n <\/li>\n
      • \n
        \n Ordering & Comparing Irrational Numbers\n <\/div>\n
          \n
        • \n Estimate irrational values\n <\/li>\n
        • \n Estimate irrational values, including negatives\n <\/li>\n
        • \n Estimate irrational values, multiple terms or factors\n <\/li>\n
        • \n Estimate irrational values, including cube roots & number line representations\n <\/li>\n
        • \n Order irrational numbers\n <\/li>\n
        • \n Compare irrational numbers\n <\/li>\n
        • \n Condensed: Compare & order irrational numbers\n <\/li>\n <\/ul>\n <\/li>\n <\/ul>\n <\/li>\n
        • \n
          \n Rational Exponents & Radicals\n <\/div>\n
            \n
          • \n
            \n Rational Exponents\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 Simplify radical expression raised to power that is multiple of index\n <\/li>\n
            • \n Condensed: Convert from radical to rational exponent\n <\/li>\n
            • \n Simplify rational exponent expressions using power rule, with coefficients\n <\/li>\n
            • \n Condensed: Simplify rational exponents using product & power rules\n <\/li>\n
            • \n Condensed: Evaluate rational exponent expressions\n <\/li>\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
            • \n
              \n Properties of Exponents\n <\/div>\n
                \n
              • \n Simplify rational exponent expressions using power rule, no coefficients\n <\/li>\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
              • \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
              • \n Create equivalent exponential expressions using exponent properties\n <\/li>\n <\/ul>\n <\/li>\n
              • \n
                \n Evaluating Expressions\n <\/div>\n
                  \n
                • \n Evaluate rational exponent expressions, positive exponents\n <\/li>\n
                • \n Evaluate rational exponent expressions, negative exponents\n <\/li>\n <\/ul>\n <\/li>\n
                • \n
                  \n Solving Exponential Expressions\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 Condensed: Solve equations involving rational exponents\n <\/li>\n
                  • \n Solve simple exponential equations\n <\/li>\n
                  • \n Solve exponential equations, common bases given\n <\/li>\n
                  • \n Solve exponential equations, one base reduces to common base\n <\/li>\n
                  • \n Solve exponential equations, both bases reduce to common base\n <\/li>\n
                  • \n Solve exponential equations, no logs required\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 <\/ul>\n <\/li>\n
                  • \n
                    \n Radicals\n <\/div>\n
                      \n
                    • \n Simplify radical expressions, perfect powers\n <\/li>\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 <\/ul>\n <\/li>\n
                    • \n
                      \n Complex Numbers\n <\/div>\n
                        \n
                      • \n
                        \n Simplifying Complex Numbers\n <\/div>\n
                          \n
                        • \n Simplify powers of i\n <\/li>\n
                        • \n Express square roots of negatives using i\n <\/li>\n
                        • \n Simplify imaginary numbers\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 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: Add, subtract, & multiply square roots of negative 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 Square complex numbers\n <\/li>\n <\/ul>\n <\/li>\n
                          • \n
                            \n Quadratic Equations with Complex Solutions\n <\/div>\n
                              \n
                            • \n Calculate discriminant, then determine number of real or complex solutions\n <\/li>\n
                            • \n Solve using quadratic formula, complex solutions\n <\/li>\n
                            • \n Factor sum of squares using complex factors\n <\/li>\n
                            • \n Determine complex solutions by factoring sum of squares\n <\/li>\n
                            • \n Determine number of complex & real roots of quadratic functions\n <\/li>\n
                            • \n Solve quadratic equations using square root method, 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, 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 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
                            • \n Solve quadratic equations, complete the square, integers, a = 1, including complex solutions\n <\/li>\n <\/ul>\n <\/li>\n <\/ul>\n <\/li>\n
                            • \n
                              \n Expressions\n <\/div>\n
                                \n
                              • \n
                                \n Interpreting & Identifying Parts of an Expression\n <\/div>\n
                                  \n
                                • \n Identify terms of expressions\n <\/li>\n
                                • \n Classify polynomials by degree\n <\/li>\n
                                • \n Determine degree of polynomials\n <\/li>\n
                                • \n Classify polynomials by degree & number of terms\n <\/li>\n
                                • \n Identify leading coefficient of polynomials\n <\/li>\n
                                • \n Determine degree, leading coefficient, & type of polynomial\n <\/li>\n
                                • \n Condensed: Classify polynomials & identify components of polynomials\n <\/li>\n
                                • \n Determine degree of polynomials, including two variables\n <\/li>\n
                                • \n Identify leading coefficient of polynomials, including two variables\n <\/li>\n
                                • \n Identify polynomial as monomial, binomial, or trinomial, including two variables\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 Rewriting Equivalent Expressions\n <\/div>\n
                                    \n
                                  • \n Simplify algebraic expressions, one variable, distribute once & product of two factors\n <\/li>\n
                                  • \n Condensed: Simplify algebraic expressions, one variable, distribute once, including combine like terms & product of two factors\n <\/li>\n
                                  • \n Simplify algebraic expressions, one variable, distribute once, including rationals\n <\/li>\n
                                  • \n Simplify algebraic expressions, one variable, distribute twice\n <\/li>\n
                                  • \n Simplify algebraic expressions, two variables, distribute twice\n <\/li>\n <\/ul>\n <\/li>\n <\/ul>\n <\/li>\n
                                  • \n
                                    \n Equations & Inequalities\n <\/div>\n
                                      \n
                                    • \n
                                      \n Creating & Solving Equations in One Variable\n <\/div>\n
                                        \n
                                      • \n
                                        \n Two-Step Equations\n <\/div>\n
                                          \n
                                        • \n Solve two-step linear equations, decimal coefficients\n <\/li>\n
                                        • \n Solve two-step linear equations, fractional coefficients\n <\/li>\n
                                        • \n Solve two-step linear equations, fractional answers\n <\/li>\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 Condensed: Solve one- or two-step linear equations, including fractional answers\n <\/li>\n
                                        • \n Condensed: Solve one- or two-step linear equations, fractional coefficients\n <\/li>\n
                                        • \n Condensed: Solve two-step linear equations\n <\/li>\n <\/ul>\n <\/li>\n
                                        • \n
                                          \n Three-Step Equations\n <\/div>\n
                                            \n
                                          • \n Solve three-step linear equations involving distribution of decimal multiplier\n <\/li>\n
                                          • \n Solve three-step linear equations involving distribution, fractional multiplier cancels if distributed\n <\/li>\n
                                          • \n Solve three-step linear equations involving distribution, fractional multiplier doesn’t cancel if distributed\n <\/li>\n
                                          • \n Condensed: Solve three-step linear equations involving distribution, including fractional & decimal answers\n <\/li>\n <\/ul>\n <\/li>\n
                                          • \n
                                            \n Multi-Step Equations\n <\/div>\n
                                              \n
                                            • \n Solve linear equations, distributive property on one side\n <\/li>\n
                                            • \n Solve multi-step linear equations\n <\/li>\n <\/ul>\n <\/li>\n
                                            • \n
                                              \n Equations with Variables on Both Sides\n <\/div>\n
                                                \n
                                              • \n Solve linear equations, binomials on both sides, decimals\n <\/li>\n
                                              • \n Solve linear equations, binomials on both sides, fractions\n <\/li>\n
                                              • \n Solve linear equations, variables as numerators on both sides\n <\/li>\n
                                              • \n Solve linear equations, distributive property on both sides, integers\n <\/li>\n
                                              • \n Solve linear equations, distributive property on both sides, rationals\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 Solve linear equations, distributive property on both sides, additional term on one side\n <\/li>\n
                                              • \n Solve linear equations, including no solution & infinitely many solutions\n <\/li>\n
                                              • \n Condensed: Solve linear equations, variables on both sides, rationals\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 Determining Number of Solutions\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 <\/ul>\n <\/li>\n <\/ul>\n <\/li>\n
                                                • \n
                                                  \n Creating & Solving Inequalities in One Variable\n <\/div>\n
                                                    \n
                                                  • \n
                                                    \n Basic One-Variable Inequalities\n <\/div>\n
                                                      \n
                                                    • \n Solve & graph two-step inequalities, integers\n <\/li>\n
                                                    • \n Solve & graph two-step inequalities, decimals\n <\/li>\n
                                                    • \n Solve & graph two-step inequalities, fractions\n <\/li>\n
                                                    • \n Solve two-step inequalities, integers\n <\/li>\n
                                                    • \n Solve two-step inequalities, decimals\n <\/li>\n
                                                    • \n Solve two-step inequalities, fractions\n <\/li>\n
                                                    • \n Determine if given value is solution to two-step inequality\n <\/li>\n
                                                    • \n Condensed: Solve two-step inequalities\n <\/li>\n
                                                    • \n Condensed: Solve & graph two-step inequalities\n <\/li>\n <\/ul>\n <\/li>\n
                                                    • \n
                                                      \n Application of One-Variable Inequalities\n <\/div>\n
                                                        \n
                                                      • \n Determine inequalities with variables on both sides, real-world context\n <\/li>\n
                                                      • \n Determine & solve two-step inequalities, less than, real-world context\n <\/li>\n
                                                      • \n Determine & solve two-step inequalities, greater than, real-world context\n <\/li>\n
                                                      • \n Given two-step inequality, identify real-world problem modeled by inequality\n <\/li>\n
                                                      • \n Determine two-step inequalities, rational numbers, including real-world context\n <\/li>\n
                                                      • \n Given inequality with variable on both sides, identify real-world problem modeled by inequality\n <\/li>\n <\/ul>\n <\/li>\n <\/ul>\n <\/li>\n
                                                      • \n
                                                        \n Creating & Solving Equations & Inequalities in Two or More Variables\n <\/div>\n
                                                          \n
                                                        • \n
                                                          \n Direct & Inverse Variation\n <\/div>\n
                                                            \n
                                                          • \n Solve word problems involving joint variation\n <\/li>\n
                                                          • \n Solve word problems involving combined variation\n <\/li>\n
                                                          • \n Given point & “y varies directly with x & inversely with z”, determine equation\n <\/li>\n
                                                          • \n Given point, “y varies jointly with x & z”, & another value, determine equation\n <\/li>\n
                                                          • \n Solve word problems involving direct variation \n <\/li>\n
                                                          • \n Condensed: Determine direct, inverse, joint, or combined variation equations\n <\/li>\n <\/ul>\n <\/li>\n
                                                          • \n
                                                            \n Graphing Linear Inequalities\n <\/div>\n
                                                              \n
                                                            • \n Given linear inequality, identify correct graph, slope-intercept form\n <\/li>\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 graph, identify linear inequality, slope-intercept form\n <\/li>\n
                                                            • \n Graph systems of three linear inequalities, slope-intercept form\n <\/li>\n
                                                            • \n Given linear inequality, determine graph, slope-intercept form\n <\/li>\n
                                                            • \n Graph linear inequalities, various forms\n <\/li>\n
                                                            • \n Given description & table, graph linear inequality, real-world context\n <\/li>\n <\/ul>\n <\/li>\n
                                                            • \n
                                                              \n Writing & Solving Inequalities\n <\/div>\n
                                                                \n
                                                              • \n Given linear inequality, determine solutions & non-solutions, slope-intercept form\n <\/li>\n
                                                              • \n Given linear inequality graph, determine solutions & non-solutions\n <\/li>\n
                                                              • \n Given graph, determine linear inequality\n <\/li>\n
                                                              • \n Given linear inequality & x-value, determine y-value\n <\/li>\n
                                                              • \n Given description, determine linear inequality in various forms, graph, & determine specific solutions, real-world context\n <\/li>\n
                                                              • \n Given graph, determine inequalities in standard form, real-world context\n <\/li>\n
                                                              • \n Solve linear programming problems, 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 Condensed: Given linear inequalities & graphs, determine solutions & non-solutions\n <\/li>\n
                                                              • \n Condensed: Determine equivalent linear inequalities & graphical solutions\n <\/li>\n
                                                              • \n Determine rational inequalities, real-world context\n <\/li>\n <\/ul>\n <\/li>\n <\/ul>\n <\/li>\n
                                                              • \n
                                                                \n Solving for Specified Variable\n <\/div>\n
                                                                  \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 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 Solving Systems of Equations\n <\/div>\n
                                                                    \n
                                                                  • \n
                                                                    \n Solving Systems of Two Linear Equations\n <\/div>\n
                                                                      \n
                                                                    • \n Condensed: Given system of linear equations, determine point of intersection, integer coordinates\n <\/li>\n
                                                                    • \n Condensed: Given system of linear equations, determine solution, substitution bias\n <\/li>\n
                                                                    • \n Condensed: Given system of linear equations, identify solution, including real-world context\n <\/li>\n
                                                                    • \n Condensed: Determine systems of linear equations & solutions\n <\/li>\n
                                                                    • \n Condensed: Determine systems of linear equations & solutions, including real-world context\n <\/li>\n
                                                                    • \n Condensed: Given system of linear equations or description, graph system, including real-world context\n <\/li>\n
                                                                    • \n Condensed: Solve or determine system of equations, likely to have same variable isolated\n <\/li>\n
                                                                    • \n Condensed: Solve or determine system of equations, both equations in standard form\n <\/li>\n
                                                                    • \n Determine & justify solutions to systems of linear equations, 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 Three Linear Equations\n <\/div>\n
                                                                        \n
                                                                      • \n Solve systems of three linear equations using Gaussian elimination\n <\/li>\n
                                                                      • \n Solve systems of three linear equations using substitution\n <\/li>\n
                                                                      • \n Determine system of three linear equations, real-world context\n <\/li>\n
                                                                      • \n Condensed: Solve systems of three linear equations\n <\/li>\n
                                                                      • \n Solve systems of three linear equations using matrices\n <\/li>\n <\/ul>\n <\/li>\n
                                                                      • \n
                                                                        \n Solving Systems of Linear & Quadratic Equations\n <\/div>\n
                                                                          \n
                                                                        • \n Identify ordered pair solutions to systems of two equations, one linear & one quadratic\n <\/li>\n
                                                                        • \n Solve systems of two equations, algebraic, one linear & one quadratic\n <\/li>\n
                                                                        • \n Determine system of two equations, one linear & one quadratic\n <\/li>\n
                                                                        • \n Determine reasonableness of solutions to systems of linear & quadratic equations\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 <\/ul>\n <\/li>\n
                                                                        • \n
                                                                          \n Solving Systems of Inequalities\n <\/div>\n
                                                                            \n
                                                                          • \n
                                                                            \n Basic System of Inequalities\n <\/div>\n
                                                                              \n
                                                                            • \n Solve systems of linear inequalities\n <\/li>\n
                                                                            • \n Given graph, determine solution of systems of linear inequalities\n <\/li>\n
                                                                            • \n Determine equivalent systems of linear inequalities & graphical solutions\n <\/li>\n
                                                                            • \n Graph systems of two linear inequalities, slope-intercept form\n <\/li>\n
                                                                            • \n Graph systems of three linear inequalities, slope-intercept form\n <\/li>\n
                                                                            • \n Condensed: Given description, determine system of linear inequalities in standard form & determine solution points, real-world context\n <\/li>\n
                                                                            • \n Condensed: Graph system of linear inequalities & determine system of linear inequalities, including real-world context\n <\/li>\n
                                                                            • \n Given linear system of inequalities graph, identify true statements\n <\/li>\n
                                                                            • \n Given description of system of linear inequalities, identify graph of system\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
                                                                            • \n Condensed: Given description, determine system of linear inequalities in standard form, shaded region, & true statements, real-world context\n <\/li>\n <\/ul>\n <\/li>\n
                                                                            • \n
                                                                              \n Application of Systems of Inequalities\n <\/div>\n
                                                                                \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, determine system of linear inequalities in standard form & solution point, real-world context\n <\/li>\n
                                                                              • \n Given description & graph, determine system of linear inequalities in standard form & shaded region, 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 Given description, determine system of linear inequalities in standard form & identify solution point, including three inequalities, real-world context\n <\/li>\n <\/ul>\n <\/li>\n <\/ul>\n <\/li>\n <\/ul>\n <\/li>\n
                                                                              • \n
                                                                                \n Functions\n <\/div>\n
                                                                                  \n
                                                                                • \n
                                                                                  \n Domain & Range of Functions\n <\/div>\n
                                                                                    \n
                                                                                  • \n
                                                                                    \n Determining Domain & Range of Functions\n <\/div>\n
                                                                                      \n
                                                                                    • \n Determine if value is in domain or range, set & table representations\n <\/li>\n
                                                                                    • \n Determine restricted domain & range of linear functions\n <\/li>\n
                                                                                    • \n Given graph, determine domain & range\n <\/li>\n
                                                                                    • \n Determine if value is in domain or range, graphical representations\n <\/li>\n
                                                                                    • \n Determine restricted domain & range of quadratic functions\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
                                                                                    • \n Determine domain & range of various functions using various notations\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                    • \n
                                                                                      \n Application of Domain & Range of Functions\n <\/div>\n
                                                                                        \n
                                                                                      • \n Determine continuous domain & range, real-world context\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 <\/ul>\n <\/li>\n
                                                                                      • \n
                                                                                        \n Determining & Justifying Functions\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, 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 Inverse Functions\n <\/div>\n
                                                                                            \n
                                                                                          • \n Determine inverse of linear function\n <\/li>\n
                                                                                          • \n Determine inverse of various functions\n <\/li>\n
                                                                                          • \n Determine if functions are inverses using composition\n <\/li>\n
                                                                                          • \n Determine domain & range of inverse functions\n <\/li>\n
                                                                                          • \n Graph function and its inverse\n <\/li>\n
                                                                                          • \n Condensed: Given function, determine equation, graph, & domain & range of inverse\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 Condensed: Determine inverse of linear, quadratic, square root, cubic, & cube root functions\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                          • \n
                                                                                            \n Composition of Functions\n <\/div>\n
                                                                                              \n
                                                                                            • \n Determine if functions are inverses using composition\n <\/li>\n
                                                                                            • \n Evaluate compositions of functions\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                            • \n
                                                                                              \n Comparing Properties of Two Functions\n <\/div>\n
                                                                                                \n
                                                                                              • \n Compare rates of changes represented differently\n <\/li>\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 Compare linear functions represented differently\n <\/li>\n
                                                                                              • \n Calculate average rate of change of function from table\n <\/li>\n
                                                                                              • \n Calculate average rate of change of function, real-world context\n <\/li>\n
                                                                                              • \n Calculate average rate of change of function from graph\n <\/li>\n
                                                                                              • \n Condensed: Calculate average rate of change of function\n <\/li>\n
                                                                                              • \n Calculate average rate of change of a function from an equation\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 <\/ul>\n <\/li>\n
                                                                                              • \n
                                                                                                \n Interpreting Functions Given Context\n <\/div>\n
                                                                                                  \n
                                                                                                • \n
                                                                                                  \n Determining Function Value\n <\/div>\n
                                                                                                    \n
                                                                                                  • \n Given set or table, determine function value\n <\/li>\n
                                                                                                  • \n Given graph, determine function value\n <\/li>\n
                                                                                                  • \n Given linear function, determine function value\n <\/li>\n
                                                                                                  • \n Given quadratic function, determine function value\n <\/li>\n
                                                                                                  • \n Condensed: Given graph or linear function, determine function value\n <\/li>\n
                                                                                                  • \n Condensed: Given linear or quadratic function, determine function value\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                  • \n
                                                                                                    \n Identifying Functions, Mixed Representations\n <\/div>\n
                                                                                                      \n
                                                                                                    • \n Determine function definition, fill in the blank\n <\/li>\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 functions, set & table representations\n <\/li>\n
                                                                                                    • \n Determine functions, mapping 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 Identify functions, multiple representations, including justification\n <\/li>\n
                                                                                                    • \n Given relation & additional point, determine functions, multiple representations\n <\/li>\n
                                                                                                    • \n Condensed: Identify, justify, & determine functions\n <\/li>\n
                                                                                                    • \n Identify functions, description representations\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                    • \n
                                                                                                      \n Identifying Functions, Graphical Representations\n <\/div>\n
                                                                                                        \n
                                                                                                      • \n Determine functions, graphical representations\n <\/li>\n
                                                                                                      • \n Identify & justify functions & non-functions, graphical representations\n <\/li>\n
                                                                                                      • \n Determine & justify functions, graphical representations\n <\/li>\n
                                                                                                      • \n Given step graphs, identify functions\n <\/li>\n <\/ul>\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                      • \n
                                                                                                        \n Building Functions to Model Relationships\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 <\/ul>\n <\/li>\n
                                                                                                        • \n
                                                                                                          \n Graph Mixed Functions\n <\/div>\n
                                                                                                            \n
                                                                                                          • \n Given various functions, identify graph\n <\/li>\n
                                                                                                          • \n Given graph, identify various functions\n <\/li>\n <\/ul>\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                          • \n
                                                                                                            \n Absolute Value Functions\n <\/div>\n
                                                                                                              \n
                                                                                                            • \n
                                                                                                              \n 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 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
                                                                                                              • \n Solve linear absolute value equations, variable on both sides\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                              • \n
                                                                                                                \n Absolute Value Inequalities\n <\/div>\n
                                                                                                                  \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 inequalities, including extra constant or coefficient\n <\/li>\n
                                                                                                                • \n Condensed: Solve & graph linear absolute value inequalities, including setup\n <\/li>\n
                                                                                                                • \n Condensed: Solve & graph linear absolute value inequalities\n <\/li>\n
                                                                                                                • \n Condensed: Solve & graph linear absolute value inequalities, including extra constant or coefficient & setup\n <\/li>\n
                                                                                                                • \n Given linear absolute value inequality, determine compound inequality\n <\/li>\n
                                                                                                                • \n Create linear absolute value inequalities, real-world context\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                • \n
                                                                                                                  \n Graphing Absolute Value Functions\n <\/div>\n
                                                                                                                    \n
                                                                                                                  • \n Graph absolute value functions using vertex & intercepts\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 <\/ul>\n <\/li>\n
                                                                                                                  • \n
                                                                                                                    \n Transformations of Absolute Value Functions\n <\/div>\n
                                                                                                                      \n
                                                                                                                    • \n Identify & graph vertical & horizontal shifts of absolute value functions\n <\/li>\n
                                                                                                                    • \n Identify & graph reflections of absolute value functions\n <\/li>\n
                                                                                                                    • \n Identify & graph vertical & horizontal stretches & compressions of absolute value functions\n <\/li>\n
                                                                                                                    • \n Graph absolute value functions using all transformations\n <\/li>\n
                                                                                                                    • \n Given absolute value equation, identify description of transformation\n <\/li>\n
                                                                                                                    • \n Condensed: Graph absolute value functions using any transformation\n <\/li>\n
                                                                                                                    • \n Compare absolute value functions represented differently\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                    • \n
                                                                                                                      \n Key Features of 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 Determine points of intersection of absolute value functions\n <\/li>\n
                                                                                                                      • \n Condensed: Determine graphical attributes 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 description of transformation, determine absolute value equation\n <\/li>\n
                                                                                                                        • \n Given graph, determine absolute value equation\n <\/li>\n <\/ul>\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                        • \n
                                                                                                                          \n Piecewise Functions\n <\/div>\n
                                                                                                                            \n
                                                                                                                          • \n Given graph of piece-wise function, determine equation\n <\/li>\n
                                                                                                                          • \n Graph piece-wise functions\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                          • \n
                                                                                                                            \n Quadratic Equations & Inequalities\n <\/div>\n
                                                                                                                              \n
                                                                                                                            • \n
                                                                                                                              \n Solving Quadratic Equations\n <\/div>\n
                                                                                                                                \n
                                                                                                                              • \n
                                                                                                                                \n Solving Quadratics, Factoring\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
                                                                                                                                • \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| \u2264 10, 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, terms on both sides\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 binomial equation by factoring out GCF, combining like terms necessary\n <\/li>\n
                                                                                                                                • \n Solve quadratic equations using factoring, 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 Quadratics, Square Root Method\n <\/div>\n
                                                                                                                                    \n
                                                                                                                                  • \n Determine solutions to quadratic equations, a \u2260 \u00b11, b = 0, integer or rounded solutions\n <\/li>\n
                                                                                                                                  • \n Solve quadratic equations using square root method, a(cx \u00b1 h)^2 + k = #\n <\/li>\n
                                                                                                                                  • \n Condensed: Solve quadratic equations using square root method, (x \u00b1 h)^2 = #, rational solutions\n <\/li>\n
                                                                                                                                  • \n Condensed: Determine solutions to quadratic equations, a \u2260 \u00b11, b = 0\n <\/li>\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 = #, rational solutions\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                  • \n
                                                                                                                                    \n Solving Quadratics, 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 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 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 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 Quadratics, Completing the Square\n <\/div>\n
                                                                                                                                        \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, perfect square trinomial\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, radical form solutions\n <\/li>\n
                                                                                                                                      • \n Determine constant required to complete the square, a \u2265 1, including fractions\n <\/li>\n
                                                                                                                                      • \n Solve quadratic equations, complete the square, 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, including complex solutions\n <\/li>\n
                                                                                                                                      • \n Condensed: Solve quadratic equations, complete the square, integers, including complex 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, including complex solutions\n <\/li>\n
                                                                                                                                      • \n Condensed: Solve quadratic equations, complete the square, integers, real solutions\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 <\/ul>\n <\/li>\n
                                                                                                                                        • \n
                                                                                                                                          \n Quadratic Functions\n <\/div>\n
                                                                                                                                            \n
                                                                                                                                          • \n
                                                                                                                                            \n Writing Equations of Quadratic Functions\n <\/div>\n
                                                                                                                                              \n
                                                                                                                                            • \n
                                                                                                                                              \n Standard Form\n <\/div>\n
                                                                                                                                                \n
                                                                                                                                              • \n Given graph of quadratic function, determine equation\n <\/li>\n
                                                                                                                                              • \n Given integer solutions of quadratic equation, determine function in standard form\n <\/li>\n
                                                                                                                                              • \n Given zeros of quadratic function, determine quadratic equation with integer coefficients\n <\/li>\n
                                                                                                                                              • \n Given rational solutions of quadratic equation, determine function in standard form\n <\/li>\n
                                                                                                                                              • \n Given graph of quadratic function, determine equation in standard form\n <\/li>\n
                                                                                                                                              • \n Given vertex & point, determine quadratic equation, standard form\n <\/li>\n
                                                                                                                                              • \n Given three points in plane, determine quadratic 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 Vertex Form\n <\/div>\n
                                                                                                                                                  \n
                                                                                                                                                • \n Given vertex & point, determine quadratic equation, vertex form\n <\/li>\n
                                                                                                                                                • \n Given quadratic equation in standard form, determine vertex form of equation\n <\/li>\n
                                                                                                                                                • \n Given graph of quadratic function, determine equation\n <\/li>\n
                                                                                                                                                • \n Given description of transformation, determine quadratic function\n <\/li>\n
                                                                                                                                                • \n Given graphical attributes, determine equation of parabola\n <\/li>\n <\/ul>\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 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: Given quadratic equation, determine attributes & graph\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                  • \n
                                                                                                                                                    \n Transformations of Quadratic Functions\n <\/div>\n
                                                                                                                                                      \n
                                                                                                                                                    • \n Identify & graph vertical & horizontal shifts of quadratic functions\n <\/li>\n
                                                                                                                                                    • \n Identify & graph reflections of quadratic functions\n <\/li>\n
                                                                                                                                                    • \n Identify & graph vertical & horizontal stretches & compressions of quadratic functions\n <\/li>\n
                                                                                                                                                    • \n Given quadratic equation, identify description of transformation\n <\/li>\n
                                                                                                                                                    • \n Identify descriptions of graphs of quadratic parent functions & transformed functions\n <\/li>\n
                                                                                                                                                    • \n Graph quadratic functions using all transformations\n <\/li>\n
                                                                                                                                                    • \n Condensed: Graph quadratic functions using any transformation\n <\/li>\n
                                                                                                                                                    • \n Compare quadratic functions represented differently\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                    • \n
                                                                                                                                                      \n Key Features of Quadratic Functions\n <\/div>\n
                                                                                                                                                        \n
                                                                                                                                                      • \n
                                                                                                                                                        \n Determining 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 <\/ul>\n <\/li>\n
                                                                                                                                                        • \n
                                                                                                                                                          \n Determining 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 y-intercept of quadratic functions\n <\/li>\n
                                                                                                                                                          • \n Determine zero(s)\/x-intercept(s) of quadratic functions, b = 0\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 Determining Vertex, Axis of Symmetry, & 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 intervals of increase & decrease 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 <\/ul>\n <\/li>\n
                                                                                                                                                            • \n
                                                                                                                                                              \n Determining 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 quadratic equation, vertex, & point, graph function & determine attributes\n <\/li>\n
                                                                                                                                                              • \n Given graph of quadratic function, determine attributes\n <\/li>\n
                                                                                                                                                              • \n Describe parameter changes to quadratic parent functions\n <\/li>\n
                                                                                                                                                              • \n Given table, determine attributes of quadratic function, real-world context\n <\/li>\n
                                                                                                                                                              • \n Condensed: Determine graphical attributes of quadratic functions\n <\/li>\n
                                                                                                                                                              • \n Condensed: Given graph, equation, or table, determine attributes of quadratic function\n <\/li>\n
                                                                                                                                                              • \n Determine intervals where quadratic function is positive or negative\n <\/li>\n <\/ul>\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                              • \n
                                                                                                                                                                \n Modeling with Quadratic Functions\n <\/div>\n
                                                                                                                                                                  \n
                                                                                                                                                                • \n
                                                                                                                                                                  \n Modeling by First Writing Quadratic Function\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 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 <\/ul>\n <\/li>\n
                                                                                                                                                                  • \n
                                                                                                                                                                    \n Modeling by Solving Without Writing Function\n <\/div>\n
                                                                                                                                                                      \n
                                                                                                                                                                    • \n Determine effects of parameter changes in quadratic relationships, real-world context\n <\/li>\n
                                                                                                                                                                    • \n Given height of dropped object, determine position function & specific time\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 <\/ul>\n <\/li>\n
                                                                                                                                                                    • \n
                                                                                                                                                                      \n Polynomial Expressions\n <\/div>\n
                                                                                                                                                                        \n
                                                                                                                                                                      • \n
                                                                                                                                                                        \n Interpreting Polynomials\n <\/div>\n
                                                                                                                                                                          \n
                                                                                                                                                                        • \n Interpret terms or factors in expressions, including real-world context\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                        • \n
                                                                                                                                                                          \n Adding & Subtracting Polynomials\n <\/div>\n
                                                                                                                                                                            \n
                                                                                                                                                                          • \n Add binomials & trinomials, degrees zero to two\n <\/li>\n
                                                                                                                                                                          • \n Subtract binomials & trinomials, degrees zero to two\n <\/li>\n
                                                                                                                                                                          • \n Add binomials & trinomials, degrees zero to three\n <\/li>\n
                                                                                                                                                                          • \n Subtract binomials & trinomials, degrees zero to three\n <\/li>\n
                                                                                                                                                                          • \n Condensed: Add or subtract binomials & trinomials\n <\/li>\n
                                                                                                                                                                          • \n Determine sums of polynomials or missing polynomial addends\n <\/li>\n
                                                                                                                                                                          • \n Determine differences of polynomials or missing polynomial subtrahends\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 Given polynomial & sum of polynomials, determine missing polynomial\n <\/li>\n
                                                                                                                                                                          • \n Given polynomial & difference of polynomials, determine missing polynomial\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
                                                                                                                                                                          • \n
                                                                                                                                                                            \n Multiplying Polynomials\n <\/div>\n
                                                                                                                                                                              \n
                                                                                                                                                                            • \n
                                                                                                                                                                              \n Multiplying Polynomials Basic\n <\/div>\n
                                                                                                                                                                                \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 Condensed: Multiply binomial times binomial\n <\/li>\n
                                                                                                                                                                              • \n Multiply binomial times trinomial, mixed degrees\n <\/li>\n
                                                                                                                                                                              • \n Multiply linear binomial times quadratic trinomial\n <\/li>\n
                                                                                                                                                                              • \n Apply binomial theorem to expand (x \u00b1 y)^3\n <\/li>\n
                                                                                                                                                                              • \n Multiply monomial times binomial or trinomial, degrees zero to two\n <\/li>\n
                                                                                                                                                                              • \n Multiply binomial times binomial, both degree one\n <\/li>\n
                                                                                                                                                                              • \n Multiply binomial times binomial, mixed degrees\n <\/li>\n
                                                                                                                                                                              • \n Square linear binomial\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 Application of Multiplying Polynomials\n <\/div>\n
                                                                                                                                                                                  \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 Given monomial & binomial or trinomial, multiply or identify missing value\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 Condensed: Multiply binomial times binomial\n <\/li>\n
                                                                                                                                                                                • \n Determine missing value to make polynomial statement true, multiplication\n <\/li>\n
                                                                                                                                                                                • \n Multiply binomial times trinomial, mixed degrees\n <\/li>\n
                                                                                                                                                                                • \n Multiply linear binomial times quadratic trinomial\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 Multiply monomial times binomial or trinomial, degrees zero to two\n <\/li>\n
                                                                                                                                                                                • \n Multiply binomial times binomial, both degree one\n <\/li>\n
                                                                                                                                                                                • \n Multiply binomial times binomial, mixed degrees\n <\/li>\n
                                                                                                                                                                                • \n Square linear binomial\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                • \n
                                                                                                                                                                                  \n Dividing Polynomials\n <\/div>\n
                                                                                                                                                                                    \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, degree one or two by degree one or 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 Divide quadratic trinomial by linear binomial, word problem context\n <\/li>\n
                                                                                                                                                                                  • \n Condensed: Divide polynomials\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
                                                                                                                                                                                    • \n
                                                                                                                                                                                      \n Factoring Polynomials\n <\/div>\n
                                                                                                                                                                                        \n
                                                                                                                                                                                      • \n
                                                                                                                                                                                        \n GCF & LCM of Polynomials\n <\/div>\n
                                                                                                                                                                                          \n
                                                                                                                                                                                        • \n Determine GCF in polynomials, one variable\n <\/li>\n
                                                                                                                                                                                        • \n Determine GCF of two monomials, two variables\n <\/li>\n
                                                                                                                                                                                        • \n Determine LCM of two monomials, two variables\n <\/li>\n
                                                                                                                                                                                        • \n Condensed: Determine GCF or LCM of two monomials, two variables\n <\/li>\n
                                                                                                                                                                                        • \n Determine missing component of GCF\n <\/li>\n
                                                                                                                                                                                        • \n Factor GCF in polynomials, one variable\n <\/li>\n
                                                                                                                                                                                        • \n Factor GCF in polynomials, including two variables\n <\/li>\n
                                                                                                                                                                                        • \n Given GCF & one monomial, identify second monomial\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                        • \n
                                                                                                                                                                                          \n Factoring Trinomials\n <\/div>\n
                                                                                                                                                                                            \n
                                                                                                                                                                                          • \n Factor quadratic trinomials, a = 1\n <\/li>\n
                                                                                                                                                                                          • \n Factor quadratic trinomials, a = 1, b > 0, c > 0\n <\/li>\n
                                                                                                                                                                                          • \n Factor quadratic trinomials, a = 1, terms scrambled\n <\/li>\n
                                                                                                                                                                                          • \n Factor quadratic trinomials, 1 < a \u2264 10, no GCF\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 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 Factoring GCF & Remaining Trinomial\n <\/div>\n
                                                                                                                                                                                              \n
                                                                                                                                                                                            • \n Factor GCF in polynomials, degree one or two, one variable\n <\/li>\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 Factoring Difference of Squares & Perfect Square Trinomials\n <\/div>\n
                                                                                                                                                                                                \n
                                                                                                                                                                                              • \n Factor difference of two squares, degree two, one variable, coefficient one\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\n <\/li>\n
                                                                                                                                                                                              • \n Factor difference of two squares, two variables\n <\/li>\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 difference of two squares, one or two variables\n <\/li>\n
                                                                                                                                                                                              • \n Condensed: Factor difference of two squares, degree two\n <\/li>\n
                                                                                                                                                                                              • \n Factor perfect square trinomials, fraction coefficients\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                              • \n
                                                                                                                                                                                                \n Factoring 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 Factoring Cubic Polynomials\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
                                                                                                                                                                                                  • \n Factor sum & difference of two cubes, degree three, one variable\n <\/li>\n
                                                                                                                                                                                                  • \n Condensed: Factor sum & difference of two cubes, degree three\n <\/li>\n
                                                                                                                                                                                                  • \n Factor sum & difference of two cubes, degree three, two variables\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 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 Determining Factors of Polynomials\n <\/div>\n
                                                                                                                                                                                                      \n
                                                                                                                                                                                                    • \n Determine linear factors of polynomials, degree three\n <\/li>\n
                                                                                                                                                                                                    • \n Determine linear factors of polynomials, degree four\n <\/li>\n
                                                                                                                                                                                                    • \n Condensed: Determine linear factors of polynomials, degree three or four\n <\/li>\n
                                                                                                                                                                                                    • \n Determine quadratic factors of polynomials, degree four\n <\/li>\n
                                                                                                                                                                                                    • \n Determine maximum number of roots for polynomial function\n <\/li>\n <\/ul>\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                    • \n
                                                                                                                                                                                                      \n Graphing Polynomials\n <\/div>\n
                                                                                                                                                                                                        \n
                                                                                                                                                                                                      • \n Given table, determine attributes of polynomial function\n <\/li>\n
                                                                                                                                                                                                      • \n Determine x-intercepts\/zeros & y-intercepts of polynomial functions\n <\/li>\n
                                                                                                                                                                                                      • \n Determine end behavior of polynomial functions\n <\/li>\n
                                                                                                                                                                                                      • \n Given equation, graph polynomial function\n <\/li>\n
                                                                                                                                                                                                      • \n Determine points of intersection of two polynomial functions\n <\/li>\n
                                                                                                                                                                                                      • \n Determine zeros of polynomials & their multiplicities\n <\/li>\n
                                                                                                                                                                                                      • \n Determine intervals of increase & decrease of polynomial functions\n <\/li>\n
                                                                                                                                                                                                      • \n Given graph, determine equation of polynomial function\n <\/li>\n
                                                                                                                                                                                                      • \n Determine minimum & maximum of polynomial functions\n <\/li>\n <\/ul>\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                      • \n
                                                                                                                                                                                                        \n Exponential Functions & Models\n <\/div>\n
                                                                                                                                                                                                          \n
                                                                                                                                                                                                        • \n
                                                                                                                                                                                                          \n Interpreting Exponential Models\n <\/div>\n
                                                                                                                                                                                                            \n
                                                                                                                                                                                                          • \n Interpret values in exponential functions, real-world context\n <\/li>\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
                                                                                                                                                                                                          • \n Determine exponential function, real-world context\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                          • \n
                                                                                                                                                                                                            \n Solving Exponential Models\n <\/div>\n
                                                                                                                                                                                                              \n
                                                                                                                                                                                                            • \n Given graph, identify solution to exponential equation\n <\/li>\n
                                                                                                                                                                                                            • \n Calculate investment value, annual compounding\n <\/li>\n
                                                                                                                                                                                                            • \n Calculate investment value, various compounding\n <\/li>\n
                                                                                                                                                                                                            • \n Calculate depreciating asset value, annual compounding\n <\/li>\n
                                                                                                                                                                                                            • \n Condensed: Calculate investment & depreciating asset values, annual compounding\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                            • \n
                                                                                                                                                                                                              \n Writing Exponential Functions\n <\/div>\n
                                                                                                                                                                                                                \n
                                                                                                                                                                                                              • \n Given table, determine exponential growth function\n <\/li>\n
                                                                                                                                                                                                              • \n Given table, determine exponential decay function\n <\/li>\n
                                                                                                                                                                                                              • \n Given table, determine linear or exponential growth function\n <\/li>\n
                                                                                                                                                                                                              • \n Given graph, determine equation of exponential function\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                              • \n
                                                                                                                                                                                                                \n Graphing Exponential Functions\n <\/div>\n
                                                                                                                                                                                                                  \n
                                                                                                                                                                                                                • \n Given equation, graph exponential function\n <\/li>\n
                                                                                                                                                                                                                • \n Given exponential growth function, determine graph\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, including base e\n <\/li>\n
                                                                                                                                                                                                                • \n Compare exponential functions represented differently\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                • \n
                                                                                                                                                                                                                  \n Transformations of Exponential Functions\n <\/div>\n
                                                                                                                                                                                                                    \n
                                                                                                                                                                                                                  • \n Identify & graph vertical & horizontal shifts of exponential functions\n <\/li>\n
                                                                                                                                                                                                                  • \n Identify & graph reflections 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
                                                                                                                                                                                                                  • \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 Key Features of Exponential Functions\n <\/div>\n
                                                                                                                                                                                                                      \n
                                                                                                                                                                                                                    • \n
                                                                                                                                                                                                                      \n Determining Domain & Range\n <\/div>\n
                                                                                                                                                                                                                        \n
                                                                                                                                                                                                                      • \n Given equation, determine domain & range of exponential function \n <\/li>\n
                                                                                                                                                                                                                      • \n Given verbal description & graph, determine domain & range of exponential function \n <\/li>\n
                                                                                                                                                                                                                      • \n Determine restricted domain & range of exponential functions\n <\/li>\n
                                                                                                                                                                                                                      • \n Determine domain & range of discrete exponential functions, real-world context\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                      • \n
                                                                                                                                                                                                                        \n Determining Attributes\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 Given exponential equation, determine asymptote\n <\/li>\n
                                                                                                                                                                                                                        • \n Given graph, determine asymptote of exponential function\n <\/li>\n
                                                                                                                                                                                                                        • \n Determine asymptote of exponential functions\n <\/li>\n
                                                                                                                                                                                                                        • \n Determine asymptote of exponential functions, real-world context\n <\/li>\n
                                                                                                                                                                                                                        • \n Determine minimum & maximum of exponential functions\n <\/li>\n
                                                                                                                                                                                                                        • \n Determine end behavior of exponential functions\n <\/li>\n
                                                                                                                                                                                                                        • \n Given table, determine attributes of exponential function\n <\/li>\n
                                                                                                                                                                                                                        • \n Condensed: Determine graphical attributes of exponential functions\n <\/li>\n <\/ul>\n <\/li>\n <\/ul>\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                        • \n
                                                                                                                                                                                                                          \n Foundations of Geometry\n <\/div>\n
                                                                                                                                                                                                                            \n
                                                                                                                                                                                                                          • \n
                                                                                                                                                                                                                            \n Congruence\n <\/div>\n
                                                                                                                                                                                                                              \n
                                                                                                                                                                                                                            • \n Given geometric figure, identify correct conjecture\n <\/li>\n
                                                                                                                                                                                                                            • \n Identify corresponding parts from congruence statement or determine congruence statement from figures\n <\/li>\n
                                                                                                                                                                                                                            • \n Given congruent triangles, determine values from corresponding parts\n <\/li>\n
                                                                                                                                                                                                                            • \n Given congruent sides, identify congruent angles of isosceles triangle\n <\/li>\n
                                                                                                                                                                                                                            • \n Given congruent angles, identify congruent sides of isosceles triangle\n <\/li>\n
                                                                                                                                                                                                                            • \n Determine angle measures in isosceles trapezoid, using congruent base angles\n <\/li>\n
                                                                                                                                                                                                                            • \n Identify congruent angles or determine angle measures in kites, algebraic expressions\n <\/li>\n
                                                                                                                                                                                                                            • \n Identify congruence transformations\n <\/li>\n
                                                                                                                                                                                                                            • \n Given congruent figures, identify description of transformations\n <\/li>\n
                                                                                                                                                                                                                            • \n Determine missing steps in proofs involving angles\n <\/li>\n
                                                                                                                                                                                                                            • \n Determine missing steps in proofs involving segments\n <\/li>\n
                                                                                                                                                                                                                            • \n Determine missing steps in proofs involving parallel lines\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                            • \n
                                                                                                                                                                                                                              \n Similarity\n <\/div>\n
                                                                                                                                                                                                                                \n
                                                                                                                                                                                                                              • \n
                                                                                                                                                                                                                                \n Triangle Similarity\n <\/div>\n
                                                                                                                                                                                                                                  \n
                                                                                                                                                                                                                                • \n Determine segment lengths in triangles with angle bisectors\n <\/li>\n
                                                                                                                                                                                                                                • \n Determine segment lengths using triangle proportionality theorem\n <\/li>\n
                                                                                                                                                                                                                                • \n Determine angles of similar triangles using AA similarity\n <\/li>\n
                                                                                                                                                                                                                                • \n Determine sides of similar triangles using AA similarity\n <\/li>\n
                                                                                                                                                                                                                                • \n Determine similarity of triangles using AA similarity\n <\/li>\n
                                                                                                                                                                                                                                • \n Determine angles of similar triangles using AA similarity, algebraic expressions\n <\/li>\n
                                                                                                                                                                                                                                • \n Determine parts using similar triangles, including real-world context\n <\/li>\n
                                                                                                                                                                                                                                • \n Determine similar triangles using SAS similarity\n <\/li>\n
                                                                                                                                                                                                                                • \n Determine similar triangles using SSS similarity\n <\/li>\n
                                                                                                                                                                                                                                • \n Condensed: Determine similar triangles using SAS or SSS similarity\n <\/li>\n
                                                                                                                                                                                                                                • \n Determine missing steps in proofs involving similar triangles\n <\/li>\n
                                                                                                                                                                                                                                • \n Determine missing steps in proofs involving similar triangles, paragraph form\n <\/li>\n
                                                                                                                                                                                                                                • \n Given right triangle with altitude from right angle, identify similar triangles \n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                • \n
                                                                                                                                                                                                                                  \n Similar Figures\n <\/div>\n
                                                                                                                                                                                                                                    \n
                                                                                                                                                                                                                                  • \n Identify similar polygons\n <\/li>\n
                                                                                                                                                                                                                                  • \n Given similar figures, identify proportion of side lengths\n <\/li>\n
                                                                                                                                                                                                                                  • \n Given similar figures, identify proportion of side lengths, image orientations differ\n <\/li>\n
                                                                                                                                                                                                                                  • \n Given similar figures, identify proportion of side lengths, triangles & quadrilaterals\n <\/li>\n
                                                                                                                                                                                                                                  • \n Identify corresponding parts of similar figures\n <\/li>\n
                                                                                                                                                                                                                                  • \n Determine dimensions in similar figures, whole number dimensions\n <\/li>\n
                                                                                                                                                                                                                                  • \n Determine dimensions in similar figures\n <\/li>\n
                                                                                                                                                                                                                                  • \n Determine dimensions using similar figures & indirect measurements\n <\/li>\n
                                                                                                                                                                                                                                  • \n Given similar figures, identify description of transformations\n <\/li>\n
                                                                                                                                                                                                                                  • \n Given three parallel lines with two transversals, determine lengths\n <\/li>\n
                                                                                                                                                                                                                                  • \n Determine edge, surface area, or volume of similar solids\n <\/li>\n <\/ul>\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                  • \n
                                                                                                                                                                                                                                    \n Scale Factor\n <\/div>\n
                                                                                                                                                                                                                                      \n
                                                                                                                                                                                                                                    • \n
                                                                                                                                                                                                                                      \n Scale Factor Determine Dimension, Perimeter or Area\n <\/div>\n
                                                                                                                                                                                                                                        \n
                                                                                                                                                                                                                                      • \n Given scale factor or length of corresponding side, determine perimeter or area of similar triangle\n <\/li>\n
                                                                                                                                                                                                                                      • \n Determine scale factor or perimeter of dilated figures\n <\/li>\n
                                                                                                                                                                                                                                      • \n Determine scale factor or area of dilated figures\n <\/li>\n
                                                                                                                                                                                                                                      • \n Determine variable scale factor or variable measurement of dilated figures\n <\/li>\n
                                                                                                                                                                                                                                      • \n Given similar squares, determine area & side length\n <\/li>\n
                                                                                                                                                                                                                                      • \n Given similar rectangles, determine perimeter\n <\/li>\n
                                                                                                                                                                                                                                      • \n Given similar triangles, determine perimeter\n <\/li>\n
                                                                                                                                                                                                                                      • \n Given similar triangles, determine area\n <\/li>\n
                                                                                                                                                                                                                                      • \n Given similar cones, determine surface area\n <\/li>\n
                                                                                                                                                                                                                                      • \n Given scale factor, determine dimension\n <\/li>\n
                                                                                                                                                                                                                                      • \n Condensed: Determine or apply scale factor between circles\n <\/li>\n
                                                                                                                                                                                                                                      • \n Given similar squares, determine perimeter & side length\n <\/li>\n
                                                                                                                                                                                                                                      • \n Given similar rectangles, determine area\n <\/li>\n
                                                                                                                                                                                                                                      • \n Given similar cones, determine volume\n <\/li>\n
                                                                                                                                                                                                                                      • \n Given similar pyramids, determine surface area\n <\/li>\n
                                                                                                                                                                                                                                      • \n Given similar prisms, determine surface area\n <\/li>\n
                                                                                                                                                                                                                                      • \n Given similar spheres, determine volume\n <\/li>\n
                                                                                                                                                                                                                                      • \n Given similar pyramids, determine volume\n <\/li>\n
                                                                                                                                                                                                                                      • \n Given similar prisms, determine volume\n <\/li>\n
                                                                                                                                                                                                                                      • \n Given similar cylinders, determine volume\n <\/li>\n
                                                                                                                                                                                                                                      • \n Given similar cylinders, determine surface area\n <\/li>\n
                                                                                                                                                                                                                                      • \n Condensed: Given similar 2D figures, determine area or perimeter\n <\/li>\n
                                                                                                                                                                                                                                      • \n Given similar spheres, determine surface area\n <\/li>\n
                                                                                                                                                                                                                                      • \n Condensed: Given similar 3D figures, determine surface area or volume\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                      • \n
                                                                                                                                                                                                                                        \n Scale Factor Determine Coordinates\n <\/div>\n
                                                                                                                                                                                                                                          \n
                                                                                                                                                                                                                                        • \n Condensed: Given scale factor, determine coordinates of image\n <\/li>\n
                                                                                                                                                                                                                                        • \n Given scale factor, determine coordinates of image, pre-image not centered at origin\n <\/li>\n
                                                                                                                                                                                                                                        • \n Given scale factor, determine coordinates of image, pre-image centered at origin\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                        • \n Given scale factor or length of corresponding side, determine perimeter or area of similar triangle\n <\/li>\n
                                                                                                                                                                                                                                        • \n Determine scale factor or perimeter of dilated figures\n <\/li>\n
                                                                                                                                                                                                                                        • \n Determine scale factor or area of dilated figures\n <\/li>\n
                                                                                                                                                                                                                                        • \n Determine variable scale factor or variable measurement of dilated figures\n <\/li>\n
                                                                                                                                                                                                                                        • \n Given similar squares, determine area & side length\n <\/li>\n
                                                                                                                                                                                                                                        • \n Given similar rectangles, determine perimeter\n <\/li>\n
                                                                                                                                                                                                                                        • \n Given similar triangles, determine perimeter\n <\/li>\n
                                                                                                                                                                                                                                        • \n Given similar triangles, determine area\n <\/li>\n
                                                                                                                                                                                                                                        • \n Given similar cones, determine surface area\n <\/li>\n
                                                                                                                                                                                                                                        • \n Given scale factor, determine coordinates of image, pre-image centered at origin\n <\/li>\n
                                                                                                                                                                                                                                        • \n Given scale factor, determine dimension\n <\/li>\n
                                                                                                                                                                                                                                        • \n Given scale factor, determine coordinates of image, pre-image not centered at origin\n <\/li>\n
                                                                                                                                                                                                                                        • \n Condensed: Given scale factor, determine coordinates of image\n <\/li>\n
                                                                                                                                                                                                                                        • \n Condensed: Determine or apply scale factor between circles\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                        • \n
                                                                                                                                                                                                                                          \n Two- & Three-Dimensional Objects\n <\/div>\n
                                                                                                                                                                                                                                            \n
                                                                                                                                                                                                                                          • \n
                                                                                                                                                                                                                                            \n Two-Dimensional Objects\n <\/div>\n
                                                                                                                                                                                                                                              \n
                                                                                                                                                                                                                                            • \n Classify quadrilaterals shapes based on attributes\n <\/li>\n
                                                                                                                                                                                                                                            • \n Classify polygons using graphic organizers\n <\/li>\n
                                                                                                                                                                                                                                            • \n Classify polygons using graphic organizers, including types of triangles\n <\/li>\n
                                                                                                                                                                                                                                            • \n Classify polygons based on number of sides or relationship to other shapes\n <\/li>\n
                                                                                                                                                                                                                                            • \n Classify polygons based on angles & parallel or perpendicular lines\n <\/li>\n
                                                                                                                                                                                                                                            • \n Classify 2D figures\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                            • \n
                                                                                                                                                                                                                                              \n Three-Dimensional Objects\n <\/div>\n
                                                                                                                                                                                                                                                \n
                                                                                                                                                                                                                                              • \n Classify 3D figures\n <\/li>\n
                                                                                                                                                                                                                                              • \n Identify 3D figures & their bases\n <\/li>\n
                                                                                                                                                                                                                                              • \n Determine cross sections of prisms\n <\/li>\n
                                                                                                                                                                                                                                              • \n Determine cross sections of pyramids\n <\/li>\n
                                                                                                                                                                                                                                              • \n Determine cross sections of cylinders\n <\/li>\n
                                                                                                                                                                                                                                              • \n Determine cross sections of 3D figures\n <\/li>\n
                                                                                                                                                                                                                                              • \n Condensed: Determine cross sections of cylinders, pyramids, & cones\n <\/li>\n
                                                                                                                                                                                                                                              • \n Determine 2D orthographic representation of 3D blocks\n <\/li>\n
                                                                                                                                                                                                                                              • \n Determine 3D figures from rotations of 2D figures\n <\/li>\n <\/ul>\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                              • \n
                                                                                                                                                                                                                                                \n Circumference & Area of a Circle\n <\/div>\n
                                                                                                                                                                                                                                                  \n
                                                                                                                                                                                                                                                • \n Identify approximate formulas for circumference & area of circles\n <\/li>\n
                                                                                                                                                                                                                                                • \n Determine circumference of circle, exact answers, multiple choice, including real-world context\n <\/li>\n
                                                                                                                                                                                                                                                • \n Given radius or diameter, determine circumference\n <\/li>\n
                                                                                                                                                                                                                                                • \n Given circumference of circle, determine radius or diameter\n <\/li>\n
                                                                                                                                                                                                                                                • \n Estimate diameter or circumference & identify equations using \u03c0\n <\/li>\n
                                                                                                                                                                                                                                                • \n Given radius or diameter, determine area\n <\/li>\n
                                                                                                                                                                                                                                                • \n Determine area of circle, exact answers, including real-world context\n <\/li>\n
                                                                                                                                                                                                                                                • \n Given area of circle, determine radius or diameter\n <\/li>\n
                                                                                                                                                                                                                                                • \n Given radius or diameter, determine area or circumference\n <\/li>\n
                                                                                                                                                                                                                                                • \n Condensed: Given area or circumference of circle, determine radius or diameter\n <\/li>\n
                                                                                                                                                                                                                                                • \n Condensed: Determine area or circumference of circle\n <\/li>\n
                                                                                                                                                                                                                                                • \n Determine areas of semicircles & quarter circles\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                • \n
                                                                                                                                                                                                                                                  \n Volume\n <\/div>\n
                                                                                                                                                                                                                                                    \n
                                                                                                                                                                                                                                                  • \n
                                                                                                                                                                                                                                                    \n Cylinder Volume\n <\/div>\n
                                                                                                                                                                                                                                                      \n
                                                                                                                                                                                                                                                    • \n Determine volume of cylinders\n <\/li>\n
                                                                                                                                                                                                                                                    • \n Given volume, determine dimension of cylinder\n <\/li>\n
                                                                                                                                                                                                                                                    • \n Given base area & height, determine volume of cylinder\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                    • \n
                                                                                                                                                                                                                                                      \n Pyramid Volume\n <\/div>\n
                                                                                                                                                                                                                                                        \n
                                                                                                                                                                                                                                                      • \n Determine volume of pyramids\n <\/li>\n
                                                                                                                                                                                                                                                      • \n Given volume, determine dimension of pyramid\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                      • \n
                                                                                                                                                                                                                                                        \n Cone Volume\n <\/div>\n
                                                                                                                                                                                                                                                          \n
                                                                                                                                                                                                                                                        • \n Determine volume of cones\n <\/li>\n
                                                                                                                                                                                                                                                        • \n Given volume, determine dimension of cone\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                        • \n
                                                                                                                                                                                                                                                          \n Sphere Volume\n <\/div>\n
                                                                                                                                                                                                                                                            \n
                                                                                                                                                                                                                                                          • \n Determine volume of spheres\n <\/li>\n
                                                                                                                                                                                                                                                          • \n Determine volume or radius of spheres\n <\/li>\n
                                                                                                                                                                                                                                                          • \n Given volume, determine radius, diameter, or surface area of sphere\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                          • \n
                                                                                                                                                                                                                                                            \n Mixed Figure Volume\n <\/div>\n
                                                                                                                                                                                                                                                              \n
                                                                                                                                                                                                                                                            • \n Determine volume of composite figures, cylinders & cones\n <\/li>\n
                                                                                                                                                                                                                                                            • \n Determine volume of cylinders, cones, & spheres, including real-world context\n <\/li>\n
                                                                                                                                                                                                                                                            • \n Identify relationship between volume of cone & cylinder with same base & height\n <\/li>\n <\/ul>\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                            • \n
                                                                                                                                                                                                                                                              \n Surface Area\n <\/div>\n
                                                                                                                                                                                                                                                                \n
                                                                                                                                                                                                                                                              • \n Determine surface area of pyramids\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                              • \n
                                                                                                                                                                                                                                                                \n Triangle Relationships\n <\/div>\n
                                                                                                                                                                                                                                                                  \n
                                                                                                                                                                                                                                                                • \n
                                                                                                                                                                                                                                                                  \n Perpendicular & Angle Bisectors\n <\/div>\n
                                                                                                                                                                                                                                                                    \n
                                                                                                                                                                                                                                                                  • \n Given perpendicular bisector in triangle, determine segment lengths \n <\/li>\n
                                                                                                                                                                                                                                                                  • \n Given angle bisector in triangle, determine angles \n <\/li>\n
                                                                                                                                                                                                                                                                  • \n Given perpendicular bisector in triangle, determine segment lengths, algebraic expressions\n <\/li>\n
                                                                                                                                                                                                                                                                  • \n Given angle bisector in triangle, determine angles, algebraic expressions\n <\/li>\n
                                                                                                                                                                                                                                                                  • \n Condensed: Given perpendicular or angle bisector in triangle, determine segment lengths or angles, including algebraic expressions\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                                  • \n
                                                                                                                                                                                                                                                                    \n Median & Midsegment Theorem\n <\/div>\n
                                                                                                                                                                                                                                                                      \n
                                                                                                                                                                                                                                                                    • \n Given median of triangle, determine variable or length of bisected side, algebraic expressions\n <\/li>\n
                                                                                                                                                                                                                                                                    • \n Apply triangle midsegment theorem to determine segment lengths\n <\/li>\n
                                                                                                                                                                                                                                                                    • \n Apply triangle midsegment theorem to determine perimeter\n <\/li>\n
                                                                                                                                                                                                                                                                    • \n Apply triangle midsegment theorem to determine segment lengths, algebraic expressions\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                                    • \n
                                                                                                                                                                                                                                                                      \n Centroid & Hinge Theorem\n <\/div>\n
                                                                                                                                                                                                                                                                        \n
                                                                                                                                                                                                                                                                      • \n Apply centroid theorem\n <\/li>\n
                                                                                                                                                                                                                                                                      • \n Determine coordinates of centroid of triangles\n <\/li>\n
                                                                                                                                                                                                                                                                      • \n Apply hinge theorem\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                                      • \n
                                                                                                                                                                                                                                                                        \n Triangle Theorems\n <\/div>\n
                                                                                                                                                                                                                                                                          \n
                                                                                                                                                                                                                                                                        • \n Apply triangle theorems or determine missing steps in proofs\n <\/li>\n
                                                                                                                                                                                                                                                                        • \n Apply triangle inequality theorem to determine side lengths\n <\/li>\n
                                                                                                                                                                                                                                                                        • \n Determine missing steps in proofs involving triangles\n <\/li>\n
                                                                                                                                                                                                                                                                        • \n Determine missing steps in proofs involving isosceles triangles\n <\/li>\n <\/ul>\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                                        • \n
                                                                                                                                                                                                                                                                          \n Proving Geometric Theorems Using Coordinates\n <\/div>\n
                                                                                                                                                                                                                                                                            \n
                                                                                                                                                                                                                                                                          • \n Identify or determine parallelograms in coordinate plane\n <\/li>\n
                                                                                                                                                                                                                                                                          • \n Identify congruent angles or determine angle measures in kites, algebraic expressions\n <\/li>\n
                                                                                                                                                                                                                                                                          • \n Determine angle measures in isosceles trapezoid, using congruent base angles\n <\/li>\n <\/ul>\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                                          • \n
                                                                                                                                                                                                                                                                            \n Circles & Conic Sections\n <\/div>\n
                                                                                                                                                                                                                                                                              \n
                                                                                                                                                                                                                                                                            • \n
                                                                                                                                                                                                                                                                              \n Circle Basics\n <\/div>\n
                                                                                                                                                                                                                                                                                \n
                                                                                                                                                                                                                                                                              • \n Identify components of circles\n <\/li>\n
                                                                                                                                                                                                                                                                              • \n Apply arc addition postulate to determine arc measures\n <\/li>\n
                                                                                                                                                                                                                                                                              • \n Apply arc addition postulate to determine arc measures, including algebraic expressions\n <\/li>\n
                                                                                                                                                                                                                                                                              • \n Determine relationship between congruent arcs & congruent central angles\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                                              • \n
                                                                                                                                                                                                                                                                                \n Similarity Ratios\n <\/div>\n
                                                                                                                                                                                                                                                                                  \n
                                                                                                                                                                                                                                                                                • \n Given two circles, determine scale factor or missing dimension\n <\/li>\n
                                                                                                                                                                                                                                                                                • \n Given two circles, determine scale factor of area or missing area\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                                                • \n
                                                                                                                                                                                                                                                                                  \n Arc Length & Area of Sector\n <\/div>\n
                                                                                                                                                                                                                                                                                    \n
                                                                                                                                                                                                                                                                                  • \n Given arc measure & radius, determine arc length\n <\/li>\n
                                                                                                                                                                                                                                                                                  • \n Given arc length & radius, determine central angle\n <\/li>\n
                                                                                                                                                                                                                                                                                  • \n Given chord & radius, determine length\n <\/li>\n
                                                                                                                                                                                                                                                                                  • \n Given two chords of circle, determine length\n <\/li>\n
                                                                                                                                                                                                                                                                                  • \n Given arc length & central angle, determine circumference\n <\/li>\n
                                                                                                                                                                                                                                                                                  • \n Condensed: Determine circumferences, arc lengths, & central angles\n <\/li>\n
                                                                                                                                                                                                                                                                                  • \n Determine area of sector\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                                                  • \n
                                                                                                                                                                                                                                                                                    \n Properties of Inscribed Angles, Radii, & Chords\n <\/div>\n
                                                                                                                                                                                                                                                                                      \n
                                                                                                                                                                                                                                                                                    • \n Given central angle or arc measure, determine inscribed angle\n <\/li>\n
                                                                                                                                                                                                                                                                                    • \n Given inscribed angle, determine central angle & arc measure\n <\/li>\n
                                                                                                                                                                                                                                                                                    • \n Given inscribed angle formed by chord & tangent, determine angle or arc measure\n <\/li>\n
                                                                                                                                                                                                                                                                                    • \n Given intersecting chords, determine angle or arc measure\n <\/li>\n
                                                                                                                                                                                                                                                                                    • \n Given two diameters, radius, & two angles, determine angle or arc measure\n <\/li>\n
                                                                                                                                                                                                                                                                                    • \n Condensed: Determine inscribed angles, central angles, & arc measures\n <\/li>\n
                                                                                                                                                                                                                                                                                    • \n Determine relationship between congruent chords & congruent central angles\n <\/li>\n
                                                                                                                                                                                                                                                                                    • \n Determine relationship between congruent chords & congruent arcs\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                                                    • \n
                                                                                                                                                                                                                                                                                      \n Inscribed & Circumscribed Figures\n <\/div>\n
                                                                                                                                                                                                                                                                                        \n
                                                                                                                                                                                                                                                                                      • \n Determine angles of quadrilateral inscribed in circle, including algebraic expressions\n <\/li>\n
                                                                                                                                                                                                                                                                                      • \n Given inscribed isosceles triangle, determine base angle\n <\/li>\n
                                                                                                                                                                                                                                                                                      • \n Given isosceles triangle in circle, determine angle or arc measure\n <\/li>\n
                                                                                                                                                                                                                                                                                      • \n Given isosceles triangle in circle, determine angle measure at vertex of triangle\n <\/li>\n
                                                                                                                                                                                                                                                                                      • \n Given inscribed isosceles triangle or isosceles triangle in circle, determine angle or arc measure\n <\/li>\n
                                                                                                                                                                                                                                                                                      • \n Given inscribed isosceles triangle, determine measure of arc intercepted by base of triangle\n <\/li>\n
                                                                                                                                                                                                                                                                                      • \n Given inscribed right triangle, determine inscribed angle or arc measure \n <\/li>\n
                                                                                                                                                                                                                                                                                      • \n Given inscribed right triangle & tangent, determine angle or arc measure\n <\/li>\n
                                                                                                                                                                                                                                                                                      • \n Condensed: Given inscribed right triangle, determine angle or arc measure\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                                                      • \n
                                                                                                                                                                                                                                                                                        \n Properties of Secants & Tangents\n <\/div>\n
                                                                                                                                                                                                                                                                                          \n
                                                                                                                                                                                                                                                                                        • \n
                                                                                                                                                                                                                                                                                          \n Given Secants & Tangents Determine Angles\n <\/div>\n
                                                                                                                                                                                                                                                                                            \n
                                                                                                                                                                                                                                                                                          • \n Given two tangents to circle, determine angle\n <\/li>\n
                                                                                                                                                                                                                                                                                          • \n Given secant & tangent to circle, determine angle\n <\/li>\n
                                                                                                                                                                                                                                                                                          • \n Given two secants intersecting outside circle, determine angle\n <\/li>\n
                                                                                                                                                                                                                                                                                          • \n Given two secants intersecting inside circle, determine angle\n <\/li>\n
                                                                                                                                                                                                                                                                                          • \n Given one chord & one secant of circle, determine angle\n <\/li>\n
                                                                                                                                                                                                                                                                                          • \n Given tangent & secant intersecting at point of tangency, determine angles\n <\/li>\n
                                                                                                                                                                                                                                                                                          • \n Given tangent & other segments, determine angle\n <\/li>\n
                                                                                                                                                                                                                                                                                          • \n Condensed: Given secants, tangents, & chords, determine angles\n <\/li>\n
                                                                                                                                                                                                                                                                                          • \n Given chord, secant, & tangent on same circle, determine angles & arcs\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                                                          • \n
                                                                                                                                                                                                                                                                                            \n Given Secants & Tangents Determine Lengths\n <\/div>\n
                                                                                                                                                                                                                                                                                              \n
                                                                                                                                                                                                                                                                                            • \n Given secant & tangent to circle, determine length\n <\/li>\n
                                                                                                                                                                                                                                                                                            • \n Given two secants of circle, determine length, including algebraic expressions\n <\/li>\n
                                                                                                                                                                                                                                                                                            • \n Given tangents to circles, determine lengths, algebraic expressions\n <\/li>\n
                                                                                                                                                                                                                                                                                            • \n Given secants, tangents, & chords, determine length\n <\/li>\n
                                                                                                                                                                                                                                                                                            • \n Given tangent & other segments or circle inscribed in polygon, determine lengths\n <\/li>\n <\/ul>\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                                                            • \n
                                                                                                                                                                                                                                                                                              \n Area of Circular Segments\n <\/div>\n
                                                                                                                                                                                                                                                                                                \n
                                                                                                                                                                                                                                                                                              • \n Given radius & arc measure of 60\u00b0, 90\u00b0, or 120\u00b0, determine area of circular segment\n <\/li>\n
                                                                                                                                                                                                                                                                                              • \n Given chord length & arc measure of 60\u00b0, 90\u00b0, or 120\u00b0, determine area of circular segment\n <\/li>\n
                                                                                                                                                                                                                                                                                              • \n Given radius & arc measure, determine area of circular segment\n <\/li>\n
                                                                                                                                                                                                                                                                                              • \n Determine areas of circular segments\n <\/li>\n
                                                                                                                                                                                                                                                                                              • \n Given chord length & arc measure, determine area of circular segment\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                                                              • \n
                                                                                                                                                                                                                                                                                                \n Equations of Circles\n <\/div>\n
                                                                                                                                                                                                                                                                                                  \n
                                                                                                                                                                                                                                                                                                • \n Given equation of circle, identify center & radius\n <\/li>\n
                                                                                                                                                                                                                                                                                                • \n Given center & radius, determine equation of circle\n <\/li>\n
                                                                                                                                                                                                                                                                                                • \n Given graph, determine equation of circle\n <\/li>\n
                                                                                                                                                                                                                                                                                                • \n Given equation of circle in standard form, identify graph\n <\/li>\n
                                                                                                                                                                                                                                                                                                • \n Given equation of circle, determine area\n <\/li>\n
                                                                                                                                                                                                                                                                                                • \n Given equation of circle in general form, determine standard form \n <\/li>\n
                                                                                                                                                                                                                                                                                                • \n Condensed: Determine circle equations, centers, radii, & areas\n <\/li>\n
                                                                                                                                                                                                                                                                                                • \n Complete the square & graph, circle equations\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                                                                • \n
                                                                                                                                                                                                                                                                                                  \n Equations of Parabolas\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 focus & directrix of parabola, determine equation\n <\/li>\n
                                                                                                                                                                                                                                                                                                  • \n Given focus & directrix of parabola, determine equation in standard form\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                                                                  • \n
                                                                                                                                                                                                                                                                                                    \n Equations of Circles & Parabolas\n <\/div>\n
                                                                                                                                                                                                                                                                                                      \n
                                                                                                                                                                                                                                                                                                    • \n Condensed: Complete the square & graph, circle & parabola equations\n <\/li>\n <\/ul>\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                                                                    • \n
                                                                                                                                                                                                                                                                                                      \n Trigonometry\n <\/div>\n
                                                                                                                                                                                                                                                                                                        \n
                                                                                                                                                                                                                                                                                                      • \n
                                                                                                                                                                                                                                                                                                        \n Pythagorean Theorem Calculations & Proofs\n <\/div>\n
                                                                                                                                                                                                                                                                                                          \n
                                                                                                                                                                                                                                                                                                        • \n Determine Pythagorean triples\n <\/li>\n
                                                                                                                                                                                                                                                                                                        • \n Given triangle with algebraic expressions, apply Pythagorean theorem to determine side\n <\/li>\n
                                                                                                                                                                                                                                                                                                        • \n Classify triangles using Pythagorean inequality theorem\n <\/li>\n
                                                                                                                                                                                                                                                                                                        • \n Apply Pythagorean theorem to find length in kite\n <\/li>\n
                                                                                                                                                                                                                                                                                                        • \n Given ratio of sides & one dimension, apply Pythagorean theorem to determine specified dimension, real-world context\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                                                                        • \n
                                                                                                                                                                                                                                                                                                          \n Trigonometric Ratios\n <\/div>\n
                                                                                                                                                                                                                                                                                                            \n
                                                                                                                                                                                                                                                                                                          • \n Given special right triangle, determine trig function value, sin, cos, & tan\n <\/li>\n
                                                                                                                                                                                                                                                                                                          • \n Given special right triangle, determine trig function value, cot, sec, & csc\n <\/li>\n
                                                                                                                                                                                                                                                                                                          • \n Given right triangle, determine trig ratio, sin, cos, & tan\n <\/li>\n
                                                                                                                                                                                                                                                                                                          • \n Given right triangle, determine angle, real-world context\n <\/li>\n
                                                                                                                                                                                                                                                                                                          • \n Condensed: Given right triangle, determine sides or angles, real-world context\n <\/li>\n
                                                                                                                                                                                                                                                                                                          • \n Given right triangle, determine trig ratio, cot, sec, & csc\n <\/li>\n
                                                                                                                                                                                                                                                                                                          • \n Condensed: Given right triangle, determine trig ratio\n <\/li>\n
                                                                                                                                                                                                                                                                                                          • \n Given sine, cosine, or tangent & quadrant, determine trig function values\n <\/li>\n
                                                                                                                                                                                                                                                                                                          • \n Determine missing steps in proofs of Pythagorean identities\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 Identify definitions of trig functions\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 Special Right Triangles\n <\/div>\n
                                                                                                                                                                                                                                                                                                              \n
                                                                                                                                                                                                                                                                                                            • \n
                                                                                                                                                                                                                                                                                                              \n 45-45-90 Triangles\n <\/div>\n
                                                                                                                                                                                                                                                                                                                \n
                                                                                                                                                                                                                                                                                                              • \n Given 45-45-90 triangle, determine hypotenuse\n <\/li>\n
                                                                                                                                                                                                                                                                                                              • \n Given 45-45-90 triangle, determine leg\n <\/li>\n
                                                                                                                                                                                                                                                                                                              • \n Given 45-45-90 triangle, determine side\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                                                                              • \n
                                                                                                                                                                                                                                                                                                                \n 30-60-90 Triangles\n <\/div>\n
                                                                                                                                                                                                                                                                                                                  \n
                                                                                                                                                                                                                                                                                                                • \n Given 30-60-90 triangle & short leg, determine long leg\n <\/li>\n
                                                                                                                                                                                                                                                                                                                • \n Given 30-60-90 triangle & short leg, determine hypotenuse\n <\/li>\n
                                                                                                                                                                                                                                                                                                                • \n Given 30-60-90 triangle & long leg, determine short leg\n <\/li>\n
                                                                                                                                                                                                                                                                                                                • \n Given 30-60-90 triangle & long leg, determine hypotenuse\n <\/li>\n
                                                                                                                                                                                                                                                                                                                • \n Given 30-60-90 triangle & hypotenuse, determine short leg\n <\/li>\n
                                                                                                                                                                                                                                                                                                                • \n Given 30-60-90 triangle & hypotenuse, determine long leg\n <\/li>\n
                                                                                                                                                                                                                                                                                                                • \n Given 30-60-90 triangle, determine side\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                                                                                • \n
                                                                                                                                                                                                                                                                                                                  \n Mixed Special Right Triangles\n <\/div>\n
                                                                                                                                                                                                                                                                                                                    \n
                                                                                                                                                                                                                                                                                                                  • \n Condensed: Given special right triangle, determine trig function value\n <\/li>\n
                                                                                                                                                                                                                                                                                                                  • \n Condensed: Given special right triangle, determine side\n <\/li>\n
                                                                                                                                                                                                                                                                                                                  • \n Condensed: Determine angles or sides using special right triangle relationships, real-world context\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                                                                                  • \n Given 45-45-90 triangle, determine hypotenuse\n <\/li>\n
                                                                                                                                                                                                                                                                                                                  • \n Given 45-45-90 triangle, determine leg\n <\/li>\n
                                                                                                                                                                                                                                                                                                                  • \n Given 45-45-90 triangle, determine side\n <\/li>\n
                                                                                                                                                                                                                                                                                                                  • \n Given 30-60-90 triangle & short leg, determine long leg\n <\/li>\n
                                                                                                                                                                                                                                                                                                                  • \n Given 30-60-90 triangle & short leg, determine hypotenuse\n <\/li>\n
                                                                                                                                                                                                                                                                                                                  • \n Given 30-60-90 triangle & long leg, determine short leg\n <\/li>\n
                                                                                                                                                                                                                                                                                                                  • \n Given 30-60-90 triangle & long leg, determine hypotenuse\n <\/li>\n
                                                                                                                                                                                                                                                                                                                  • \n Given 30-60-90 triangle & hypotenuse, determine short leg\n <\/li>\n
                                                                                                                                                                                                                                                                                                                  • \n Given 30-60-90 triangle & hypotenuse, determine long leg\n <\/li>\n
                                                                                                                                                                                                                                                                                                                  • \n Given 30-60-90 triangle, determine side\n <\/li>\n
                                                                                                                                                                                                                                                                                                                  • \n Condensed: Given special right triangle, determine trig function value\n <\/li>\n
                                                                                                                                                                                                                                                                                                                  • \n Condensed: Given special right triangle, determine side\n <\/li>\n
                                                                                                                                                                                                                                                                                                                  • \n Condensed: Determine angles or sides using special right triangle relationships, real-world context\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                                                                                  • \n
                                                                                                                                                                                                                                                                                                                    \n Solving Right Triangles\n <\/div>\n
                                                                                                                                                                                                                                                                                                                      \n
                                                                                                                                                                                                                                                                                                                    • \n
                                                                                                                                                                                                                                                                                                                      \n Determining Trigonometric Values\n <\/div>\n
                                                                                                                                                                                                                                                                                                                        \n
                                                                                                                                                                                                                                                                                                                      • \n Determine trig function values, degrees, calculator expected\n <\/li>\n
                                                                                                                                                                                                                                                                                                                      • \n Determine trig function values, radians, calculator expected\n <\/li>\n
                                                                                                                                                                                                                                                                                                                      • \n Condensed: Determine trig function values, calculator expected\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                                                                                      • \n
                                                                                                                                                                                                                                                                                                                        \n Solving Sides of Right Triangles\n <\/div>\n
                                                                                                                                                                                                                                                                                                                          \n
                                                                                                                                                                                                                                                                                                                        • \n Determine leg of right triangle using sine\n <\/li>\n
                                                                                                                                                                                                                                                                                                                        • \n Determine hypotenuse of right triangle using sine\n <\/li>\n
                                                                                                                                                                                                                                                                                                                        • \n Given side & angle, determine specified side using sine\n <\/li>\n
                                                                                                                                                                                                                                                                                                                        • \n Determine leg of right triangle using cosine\n <\/li>\n
                                                                                                                                                                                                                                                                                                                        • \n Determine hypotenuse of right triangle using cosine\n <\/li>\n
                                                                                                                                                                                                                                                                                                                        • \n Given side & angle, determine specified side using cosine\n <\/li>\n
                                                                                                                                                                                                                                                                                                                        • \n Given short leg of right triangle, determine long leg using tangent\n <\/li>\n
                                                                                                                                                                                                                                                                                                                        • \n Given long leg of right triangle, determine short leg using tangent\n <\/li>\n
                                                                                                                                                                                                                                                                                                                        • \n Given side & angle, determine specified side using tangent\n <\/li>\n
                                                                                                                                                                                                                                                                                                                        • \n Condensed: Given side & angle, determine specified side using sine, cosine, or tangent\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                                                                                        • \n
                                                                                                                                                                                                                                                                                                                          \n Solving Angles of Right Triangles\n <\/div>\n
                                                                                                                                                                                                                                                                                                                            \n
                                                                                                                                                                                                                                                                                                                          • \n Given hypotenuse & leg of right triangle, determine angle using arcsine\n <\/li>\n
                                                                                                                                                                                                                                                                                                                          • \n Given hypotenuse & leg of right triangle, determine angle using arccosine\n <\/li>\n
                                                                                                                                                                                                                                                                                                                          • \n Given legs of right triangle, determine angle using arctangent\n <\/li>\n
                                                                                                                                                                                                                                                                                                                          • \n Given sides of triangle, determine angle using arcsine, arccosine, or arctangent\n <\/li>\n <\/ul>\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                                                                                          • \n
                                                                                                                                                                                                                                                                                                                            \n Sine & Cosine of Complementary Angles\n <\/div>\n
                                                                                                                                                                                                                                                                                                                              \n
                                                                                                                                                                                                                                                                                                                            • \n Determine equivalent trig cofunction values, sin & cos\n <\/li>\n
                                                                                                                                                                                                                                                                                                                            • \n Determine equivalent trig cofunction values, sec & csc\n <\/li>\n
                                                                                                                                                                                                                                                                                                                            • \n Determine equivalent trig cofunction values, tan & cot\n <\/li>\n
                                                                                                                                                                                                                                                                                                                            • \n Condensed: Determine equivalent trig cofunction values\n <\/li>\n
                                                                                                                                                                                                                                                                                                                            • \n Determine equivalent trig cofunction values from triangles\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                                                                                            • \n
                                                                                                                                                                                                                                                                                                                              \n Modeling with Right Triangles\n <\/div>\n
                                                                                                                                                                                                                                                                                                                                \n
                                                                                                                                                                                                                                                                                                                              • \n Given legs of right triangle, determine angle using arctangent, real-world context\n <\/li>\n
                                                                                                                                                                                                                                                                                                                              • \n Given right triangle, determine angle, real-world context\n <\/li>\n
                                                                                                                                                                                                                                                                                                                              • \n Determine angles using special right triangle relationships, real-world context\n <\/li>\n
                                                                                                                                                                                                                                                                                                                              • \n Determine sides using special right triangle relationships, real-world context\n <\/li>\n
                                                                                                                                                                                                                                                                                                                              • \n Given right triangle, determine side, real-world context\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                                                                                              • \n
                                                                                                                                                                                                                                                                                                                                \n Law of Sines & Cosines\n <\/div>\n
                                                                                                                                                                                                                                                                                                                                  \n
                                                                                                                                                                                                                                                                                                                                • \n Determine sides & angles of triangles using law of sines, real-world context\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                • \n Determine sides & angles of triangles using law of cosines, real-world context\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                • \n Condensed: Determine sides & angles of triangles using law of sines or law of cosines, real-world context\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                • \n Determine angles of triangles using law of sines\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                • \n Condensed: Determine sides & angles of triangles using law of sines\n <\/li>\n <\/ul>\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                • \n
                                                                                                                                                                                                                                                                                                                                  \n Probability\n <\/div>\n
                                                                                                                                                                                                                                                                                                                                    \n
                                                                                                                                                                                                                                                                                                                                  • \n
                                                                                                                                                                                                                                                                                                                                    \n Sample Space\n <\/div>\n
                                                                                                                                                                                                                                                                                                                                      \n
                                                                                                                                                                                                                                                                                                                                    • \n Determine sample spaces\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                    • \n Determine size of sample spaces, compound events\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                    • \n Determine sample spaces, compound events\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                    • \n Determine sample size, various representations\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                    • \n Identify experiments & observational studies\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                    • \n Identify systematic, cluster, stratified, & simple random samples\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                    • \n
                                                                                                                                                                                                                                                                                                                                      \n Combinations & Permutations\n <\/div>\n
                                                                                                                                                                                                                                                                                                                                        \n
                                                                                                                                                                                                                                                                                                                                      • \n
                                                                                                                                                                                                                                                                                                                                        \n Combinations\n <\/div>\n
                                                                                                                                                                                                                                                                                                                                          \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
                                                                                                                                                                                                                                                                                                                                        • \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 <\/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 permutations using all items, real-world context\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                          • \n Determine permutations, real-world context\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 permutation of letters in word, distinct letters\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                          • \n Determine permutation of letters in word, nondistinct letters\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                          • \n Condensed: Determine permutation of letters in word, including nondistinct letters\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                          • \n
                                                                                                                                                                                                                                                                                                                                            \n Combinations & Permutations Combined\n <\/div>\n
                                                                                                                                                                                                                                                                                                                                              \n
                                                                                                                                                                                                                                                                                                                                            • \n Determine combinations & permutations, two questions, real-world context\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                            • \n Determine combinations & permutations, four questions, real-world context\n <\/li>\n <\/ul>\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                            • \n
                                                                                                                                                                                                                                                                                                                                              \n Multiplication Rule\n <\/div>\n
                                                                                                                                                                                                                                                                                                                                                \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 Given visual model, determine “and” probability as fraction, decimal, or percent, dependent events\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                              • \n Determine “and” probabilities, independent events, visuals provided\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                              • \n Determine “and” probabilities, independent events, two distinct sample spaces\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                              • \n Determine “and” probabilities, independent events, same sample space\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                              • \n Determine “and” probabilities, dependent events\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                              • \n Determine “and” probabilities, dependent events, multiple choice\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 Addition Rule\n <\/div>\n
                                                                                                                                                                                                                                                                                                                                                  \n
                                                                                                                                                                                                                                                                                                                                                • \n Determine “or” probabilities\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 Given visual model, determine “or” probability\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                • \n Given visual model, determine “or” probability as fraction, decimal, or percent\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                • \n
                                                                                                                                                                                                                                                                                                                                                  \n Two-Way Frequency Tables\n <\/div>\n
                                                                                                                                                                                                                                                                                                                                                    \n
                                                                                                                                                                                                                                                                                                                                                  • \n Interpret two-way frequency tables, conditional distribution \n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                  • \n Interpret two-way frequency tables, joint distribution \n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                  • \n Interpret two-way frequency tables, marginal distribution \n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                  • \n Given two-way frequency tables, identify associations\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                  • \n Determine two-way frequency tables\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                  • \n Condensed: Interpret two-way frequency tables\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                  • \n Determine specified probabilities in two-way frequency tables\n <\/li>\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
                                                                                                                                                                                                                                                                                                                                                  • \n
                                                                                                                                                                                                                                                                                                                                                    \n Simulations\n <\/div>\n
                                                                                                                                                                                                                                                                                                                                                      \n
                                                                                                                                                                                                                                                                                                                                                    • \n Identify simulations used to acquire simple random samples\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                    • \n Identify simulations to model probability events\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                    • \n
                                                                                                                                                                                                                                                                                                                                                      \n Using Probability to Make Predictions\n <\/div>\n
                                                                                                                                                                                                                                                                                                                                                        \n
                                                                                                                                                                                                                                                                                                                                                      • \n Determine predicted values, theoretical probability\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                      • \n Determine predicted values, experimental probability\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                      • \n Determine predicted values, experimental probability, compound events\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                      • \n Determine predicted values, theoretical probability, compound events\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                      • \n Determine predicted values, experimental or theoretical probability\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                      • \n Determine inferences from samples\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                      • \n Determine predicted values or compare likelihood of events\n <\/li>\n <\/ul>\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                      • \n
                                                                                                                                                                                                                                                                                                                                                        \n Rational Functions\n <\/div>\n
                                                                                                                                                                                                                                                                                                                                                          \n
                                                                                                                                                                                                                                                                                                                                                        • \n Compare rational functions represented differently\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                                                                                                                        • \n
                                                                                                                                                                                                                                                                                                                                                          \n Radical Functions\n <\/div>\n
                                                                                                                                                                                                                                                                                                                                                            \n
                                                                                                                                                                                                                                                                                                                                                          • \n Compare radical functions represented differently\n <\/li>\n <\/ul>\n <\/li>\n <\/ul>\n<\/div>\n\n\n\n

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

                                                                                                                                                                                                                                                                                                                                                            Math 2 Skills VIEW ALL SKILLS Algebra Foundations Classifying Rational & Irrational Numbers Classify numbers as rational or irrational Classify rational numbers by definitions Classify rational numbers using graphic organizers Classify rational numbers, including graphic organizers Determine result of adding & multiplying rational & irrational numbers Ordering & Comparing Irrational Numbers Estimate irrational values Estimate…<\/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\/57387"}],"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=57387"}],"version-history":[{"count":1,"href":"https:\/\/getmoremath.com\/wp-json\/wp\/v2\/pages\/57387\/revisions"}],"predecessor-version":[{"id":58154,"href":"https:\/\/getmoremath.com\/wp-json\/wp\/v2\/pages\/57387\/revisions\/58154"}],"wp:attachment":[{"href":"https:\/\/getmoremath.com\/wp-json\/wp\/v2\/media?parent=57387"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}