{"id":57389,"date":"2022-03-03T17:47:58","date_gmt":"2022-03-04T01:47:58","guid":{"rendered":"https:\/\/origin.getmoremath.com\/?page_id=57389"},"modified":"2023-10-19T00:10:29","modified_gmt":"2023-10-19T00:10:29","slug":"math3","status":"publish","type":"page","link":"https:\/\/getmoremath.com\/math3\/","title":{"rendered":"Math 3 Skills"},"content":{"rendered":"\n

Math 3 Skills<\/strong><\/h2>\n\n\n\n

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

\n
    \n
  • \n
    \n Functions\n <\/div>\n
      \n
    • \n
      \n Combining Functions Using Arithmetic Operations\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 Add function values, (f + g)(#)\n <\/li>\n
      • \n Subtract function values, (f – g)(#)\n <\/li>\n
      • \n Multiply function values, (f * g)(#)\n <\/li>\n
      • \n Divide function values, (f \/ g)(#)\n <\/li>\n
      • \n Condensed: Add, subtract, multiply, & divide function values, (f ? g)(#)\n <\/li>\n
      • \n Condensed: Add, subtract, multiply, & divide functions, (f ? g)(x)\n <\/li>\n
      • \n Perform operations on functions represented graphically, graphical solution\n <\/li>\n
      • \n Perform operations on functions represented graphically, numerical solution\n <\/li>\n <\/ul>\n <\/li>\n
      • \n
        \n Composition of Functions\n <\/div>\n
          \n
        • \n Evaluate compositions of functions\n <\/li>\n
        • \n Determine if functions are inverses using composition\n <\/li>\n <\/ul>\n <\/li>\n
        • \n
          \n Comparing Properties of Functions\n <\/div>\n
            \n
          • \n Determine whether given table represents linear or exponential function\n <\/li>\n
          • \n Determine whether given table represents linear, exponential, or quadratic function\n <\/li>\n
          • \n Compare rates of changes represented differently\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 a function from an equation\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 Condensed: Determine what function given table or graph represents\n <\/li>\n
          • \n Determine whether given graph represents linear, exponential, or quadratic function\n <\/li>\n <\/ul>\n <\/li>\n
          • \n
            \n Inverse Functions\n <\/div>\n
              \n
            • \n Determine inverse of linear function\n <\/li>\n
            • \n Determine inverse of quadratic & square root functions\n <\/li>\n
            • \n Determine inverse of cubic & cube root functions\n <\/li>\n
            • \n Determine inverse of various functions\n <\/li>\n
            • \n Graph function and its inverse\n <\/li>\n
            • \n Determine domain & range of inverse functions\n <\/li>\n
            • \n Condensed: Given function, determine equation, graph, & domain & range of inverse\n <\/li>\n
            • \n Condensed: Determine inverse of linear, quadratic, square root, cubic, & cube root functions\n <\/li>\n <\/ul>\n <\/li>\n
            • \n
              \n Interpreting Features of Functions Through Modeling\n <\/div>\n
                \n
              • \n Interpret & solve problems involving function notation, real-world context\n <\/li>\n
              • \n Determine discrete domain & range, real-world context\n <\/li>\n
              • \n Determine graph or information from graph, real-world context\n <\/li>\n
              • \n Determine continuous domain & range, real-world context\n <\/li>\n
              • \n Condensed: Determine domain & range, including real-world context\n <\/li>\n <\/ul>\n <\/li>\n
              • \n
                \n 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 Equations & Inequalities\n <\/div>\n
                    \n
                  • \n
                    \n Direct & Inverse Variation\n <\/div>\n
                      \n
                    • \n Solve word problems involving direct variation \n <\/li>\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 Condensed: Determine direct, inverse, joint, or combined variation equations\n <\/li>\n <\/ul>\n <\/li>\n
                    • \n
                      \n Solving Linear Inequalities in Two or More Variables\n <\/div>\n
                        \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 linear inequality & x-value, determine y-value\n <\/li>\n
                        • \n Given graph, identify linear inequality, slope-intercept form\n <\/li>\n
                        • \n Given graph, determine linear inequality\n <\/li>\n
                        • \n Given graph, determine inequalities in standard form, 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 Solve linear programming problems, real-world context\n <\/li>\n
                        • \n Condensed: Given linear inequalities & graphs, determine solutions & non-solutions\n <\/li>\n <\/ul>\n <\/li>\n
                        • \n
                          \n Graphing Linear Inequalities\n <\/div>\n
                            \n
                          • \n Graph linear inequalities, slope-intercept form, only oblique lines\n <\/li>\n
                          • \n Graph linear inequalities, vertical & horizontal lines\n <\/li>\n
                          • \n Graph linear inequalities, slope-intercept form, including vertical & horizontal lines\n <\/li>\n
                          • \n Given linear inequality, identify correct graph, slope-intercept form\n <\/li>\n
                          • \n Given linear inequality, determine graph, slope-intercept form\n <\/li>\n
                          • \n Given description & table, graph linear inequality, real-world context\n <\/li>\n
                          • \n Given description, determine linear inequality in standard form, graph, & determine specific solutions, real-world context\n <\/li>\n
                          • \n Given description, determine linear inequality in various forms, graph, & determine specific solutions, real-world context\n <\/li>\n
                          • \n Graph linear inequalities, various forms\n <\/li>\n
                          • \n Condensed: Determine equivalent linear inequalities & graphical solutions\n <\/li>\n <\/ul>\n <\/li>\n <\/ul>\n <\/li>\n
                          • \n
                            \n Systems of Equations\n <\/div>\n
                              \n
                            • \n
                              \n Solving Systems of Two Linear Equations\n <\/div>\n
                                \n
                              • \n Condensed: Given system of linear equations, determine solution, substitution bias\n <\/li>\n
                              • \n Condensed: Given system of linear equations, determine point of intersection, integer coordinates\n <\/li>\n
                              • \n Condensed: Solve or determine system of equations, likely to have same variable isolated\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 substitution\n <\/li>\n
                                • \n Condensed: Solve systems of three linear equations\n <\/li>\n
                                • \n Solve systems of three linear equations using Gaussian elimination\n <\/li>\n
                                • \n Determine system of three linear equations, real-world context\n <\/li>\n
                                • \n Solve systems of three linear equations using matrices\n <\/li>\n <\/ul>\n <\/li>\n
                                • \n
                                  \n Solving Systems of One Linear & One Quadratic\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 <\/ul>\n <\/li>\n
                                  • \n
                                    \n Application of Solving Systems of Equations\n <\/div>\n
                                      \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
                                    • \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, both equations in standard form\n <\/li>\n <\/ul>\n <\/li>\n <\/ul>\n <\/li>\n
                                    • \n
                                      \n Systems of Inequalities\n <\/div>\n
                                        \n
                                      • \n
                                        \n Solving Systems of Inequalities\n <\/div>\n
                                          \n
                                        • \n Graph systems of two linear inequalities, slope-intercept form\n <\/li>\n
                                        • \n Given graph, determine solution of systems of linear inequalities\n <\/li>\n
                                        • \n Solve systems of linear inequalities\n <\/li>\n
                                        • \n Determine equivalent systems of linear inequalities & graphical solutions\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 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 Graph systems of three linear inequalities, slope-intercept form\n <\/li>\n <\/ul>\n <\/li>\n
                                        • \n
                                          \n Application of Solving 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
                                          • \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: Graph system of linear inequalities & determine system of linear inequalities, including 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 <\/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 <\/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 <\/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 end behavior of quadratic functions\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
                                                                        • \n
                                                                          \n Solving Quadratic Functions\n <\/div>\n
                                                                            \n
                                                                          • \n Solve quadratic equations, complete the square, a > 1, real solutions, multiple choice\n <\/li>\n
                                                                          • \n Solve quadratic equations, complete the square, a = 1, real solutions\n <\/li>\n
                                                                          • \n Solve quadratic equations, complete the square, integers, a = 1, radical form solutions\n <\/li>\n
                                                                          • \n Solve quadratic equations, complete the square, a > 1, real solutions\n <\/li>\n
                                                                          • \n Solve quadratic equations, complete the square, integers, a > 1, real solutions\n <\/li>\n
                                                                          • \n Solve quadratic equations, complete the square, integers, a = 1, real 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 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
                                                                                  \n Absolute Value Inequalities with Setup\n <\/div>\n
                                                                                    \n
                                                                                  • \n Solve & graph linear absolute value inequalities, “and” solutions, including setup\n <\/li>\n
                                                                                  • \n Solve & graph linear absolute value inequality, extra coefficient or constant, including setup\n <\/li>\n
                                                                                  • \n Solve & graph linear absolute value inequalities, “or” solutions, including setup\n <\/li>\n
                                                                                  • \n Solve & graph linear absolute value inequalities, including setup\n <\/li>\n
                                                                                  • \n Condensed: Solve & graph linear absolute value inequalities, including setup\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                  • \n
                                                                                    \n Absolute Value Inequalities without Setup\n <\/div>\n
                                                                                      \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 Solve & graph linear absolute value inequalities, “and” solutions\n <\/li>\n
                                                                                    • \n Solve & graph linear absolute value inequalities, “or” solutions\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
                                                                                    • \n Condensed: Solve & graph linear absolute value inequalities, including extra constant or coefficient & setup\n <\/li>\n
                                                                                    • \n Condensed: Solve & graph linear absolute value inequalities\n <\/li>\n <\/ul>\n <\/li>\n <\/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 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 <\/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
                                                                                            • \n Graph step functions\n <\/li>\n
                                                                                            • \n Given graph of step function, determine equation\n <\/li>\n
                                                                                            • \n Condensed: Determine graphs & equations of piece-wise & step functions\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                            • \n
                                                                                              \n Complex Numbers\n <\/div>\n
                                                                                                \n
                                                                                              • \n
                                                                                                \n Quadratic Equations with Complex Solutions\n <\/div>\n
                                                                                                  \n
                                                                                                • \n Solve quadratic equations using square root method, complex solutions\n <\/li>\n
                                                                                                • \n Determine number of complex & real roots of quadratic functions\n <\/li>\n
                                                                                                • \n Given two complex solutions, determine quadratic equation of form x^2 + # = 0\n <\/li>\n
                                                                                                • \n Determine complex solutions by factoring sum of squares\n <\/li>\n
                                                                                                • \n Factor sum of squares using complex factors\n <\/li>\n
                                                                                                • \n Solve using quadratic formula, complex solutions\n <\/li>\n
                                                                                                • \n Calculate discriminant, then determine number of real or complex solutions\n <\/li>\n
                                                                                                • \n Condensed: Solve quadratic equations, complete the square, real solutions\n <\/li>\n
                                                                                                • \n Solve quadratic equations, complete the square, integers, a > 1, including complex solutions\n <\/li>\n
                                                                                                • \n 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
                                                                                                • \n Condensed: Solve quadratic equations, complex solutions\n <\/li>\n
                                                                                                • \n Solve quadratic equations, complete the square, integers, a = 1, complex solutions\n <\/li>\n
                                                                                                • \n Solve quadratic equations, complete the square, integers, a > 1, complex solutions\n <\/li>\n
                                                                                                • \n Condensed: Solve quadratic equations, complete the square, integers, complex solutions\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                • \n
                                                                                                  \n Operations with Complex Numbers\n <\/div>\n
                                                                                                    \n
                                                                                                  • \n Square complex numbers\n <\/li>\n <\/ul>\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                  • \n
                                                                                                    \n Radical Functions\n <\/div>\n
                                                                                                      \n
                                                                                                    • \n
                                                                                                      \n Solving Radical Equations\n <\/div>\n
                                                                                                        \n
                                                                                                      • \n
                                                                                                        \n Solving Square Root Equations\n <\/div>\n
                                                                                                          \n
                                                                                                        • \n Solve square root equations, square root = square root\n <\/li>\n
                                                                                                        • \n Solve square root equations, square root = #\n <\/li>\n
                                                                                                        • \n Solve square root equations, add & subtract from root\n <\/li>\n
                                                                                                        • \n Solve square root equations, divide by coefficient of root\n <\/li>\n
                                                                                                        • \n Solve square root equations, square root = x \u00b1 #\n <\/li>\n
                                                                                                        • \n Solve square root equations, square root \u00b1 square root = #\n <\/li>\n
                                                                                                        • \n Solve square root equations, multi-step\n <\/li>\n
                                                                                                        • \n Condensed: Solve square root equations, one-step & two-step\n <\/li>\n
                                                                                                        • \n Condensed: Solve square root equations\n <\/li>\n
                                                                                                        • \n Identify extraneous solutions of square root equations\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                        • \n
                                                                                                          \n Solving Cube Root Equations\n <\/div>\n
                                                                                                            \n
                                                                                                          • \n Solve cube root equations, cube root = #\n <\/li>\n
                                                                                                          • \n Solve cube root equations, cube root = cube root\n <\/li>\n
                                                                                                          • \n Solve cube root equations, cube root = variable\n <\/li>\n
                                                                                                          • \n Solve cube root equations, multi-step\n <\/li>\n
                                                                                                          • \n Condensed: Solve cube root equations, one-step & two-step\n <\/li>\n
                                                                                                          • \n Condensed: Solve square root & cube root equations\n <\/li>\n <\/ul>\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                          • \n
                                                                                                            \n Graphing Square Root Functions\n <\/div>\n
                                                                                                              \n
                                                                                                            • \n Determine x- and y-intercepts of square root functions\n <\/li>\n
                                                                                                            • \n Identify & graph vertical & horizontal shifts of square root functions\n <\/li>\n
                                                                                                            • \n Identify & graph reflections of square root functions\n <\/li>\n
                                                                                                            • \n Identify & graph vertical & horizontal stretches & compressions of square root functions\n <\/li>\n
                                                                                                            • \n Determine minimum & maximum of square root functions\n <\/li>\n
                                                                                                            • \n Given square root equation, identify description of transformations\n <\/li>\n
                                                                                                            • \n Condensed: Determine graphical attributes of square root functions\n <\/li>\n
                                                                                                            • \n Graph square root functions using key point & intercepts\n <\/li>\n
                                                                                                            • \n Graph square root functions using all transformations\n <\/li>\n
                                                                                                            • \n Condensed: Graph square root functions using any transformation\n <\/li>\n
                                                                                                            • \n Compare radical functions represented differently\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                            • \n
                                                                                                              \n Graphing Cube Root Functions\n <\/div>\n
                                                                                                                \n
                                                                                                              • \n Determine x- & y-intercepts of cube root functions\n <\/li>\n
                                                                                                              • \n Identify & graph vertical & horizontal shifts of cube root functions\n <\/li>\n
                                                                                                              • \n Identify & graph reflections of cube root functions\n <\/li>\n
                                                                                                              • \n Identify & graph vertical & horizontal stretches & compressions of cube root functions\n <\/li>\n
                                                                                                              • \n Determine minimum & maximum of cube root functions\n <\/li>\n
                                                                                                              • \n Condensed: Determine graphical attributes of cube root functions\n <\/li>\n
                                                                                                              • \n Graph cube root functions using key points & intercepts\n <\/li>\n
                                                                                                              • \n Graph cube root functions using all transformations\n <\/li>\n
                                                                                                              • \n Given cube root equation, identify descriptions of transformations\n <\/li>\n
                                                                                                              • \n Condensed: Graph cube root functions using any transformation\n <\/li>\n <\/ul>\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                              • \n
                                                                                                                \n Polynomial Expressions & Functions\n <\/div>\n
                                                                                                                  \n
                                                                                                                • \n
                                                                                                                  \n Basic Polynomials\n <\/div>\n
                                                                                                                    \n
                                                                                                                  • \n Determine degree of polynomials\n <\/li>\n
                                                                                                                  • \n Identify leading coefficient of polynomials\n <\/li>\n
                                                                                                                  • \n Classify polynomials by degree\n <\/li>\n
                                                                                                                  • \n Identify polynomial as monomial, binomial, or trinomial\n <\/li>\n
                                                                                                                  • \n Classify polynomials by degree & number of terms\n <\/li>\n
                                                                                                                  • \n Determine degree, leading coefficient, & type of polynomial\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: Classify polynomials & identify components of polynomials\n <\/li>\n
                                                                                                                  • \n Condensed: Determine degree, lead coefficient, standard form, & type of polynomial, including two variables\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                  • \n
                                                                                                                    \n Interpreting Polynomials\n <\/div>\n
                                                                                                                      \n
                                                                                                                    • \n Interpret terms or factors in expressions, including real-world context\n <\/li>\n
                                                                                                                    • \n Identify & apply polynomial identities\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                    • \n
                                                                                                                      \n Writing Polynomials in Standard Form\n <\/div>\n
                                                                                                                        \n
                                                                                                                      • \n Identify terms of expressions\n <\/li>\n
                                                                                                                      • \n Determine standard form of polynomial, no like terms\n <\/li>\n
                                                                                                                      • \n Determine standard form of polynomial, like terms\n <\/li>\n
                                                                                                                      • \n Determine standard form of polynomial, no like terms, including two variables\n <\/li>\n
                                                                                                                      • \n Determine standard form of polynomial, like terms, including two variables\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 Add & subtract polynomials to determine expressions for perimeter of various shapes\n <\/li>\n
                                                                                                                        • \n Determine sums of polynomials or missing polynomial addends\n <\/li>\n
                                                                                                                        • \n Given polynomial & difference of polynomials, determine missing polynomial\n <\/li>\n
                                                                                                                        • \n Determine differences of polynomials or missing polynomial subtrahends\n <\/li>\n
                                                                                                                        • \n Given monomial & binomial or trinomial, multiply or identify missing value\n <\/li>\n
                                                                                                                        • \n Condensed: Determine sums or differences of polynomials or missing polynomial operands\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, degrees zero to two\n <\/li>\n
                                                                                                                            • \n Multiply binomial times binomial, both degree one\n <\/li>\n
                                                                                                                            • \n Square linear binomial\n <\/li>\n
                                                                                                                            • \n Condensed: Multiply binomial times binomial\n <\/li>\n
                                                                                                                            • \n Simplify monomial minus product of monomial & binomial or trinomial\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                            • \n
                                                                                                                              \n Multiplying Polynomials, Advanced\n <\/div>\n
                                                                                                                                \n
                                                                                                                              • \n Multiply monomial times binomial or trinomial, mixed degrees\n <\/li>\n
                                                                                                                              • \n Add & multiply polynomials to determine expressions for area & perimeter of rectangles & triangles\n <\/li>\n
                                                                                                                              • \n Condensed: Add or subtract binomials & trinomials or multiply monomial times binomial or trinomial\n <\/li>\n
                                                                                                                              • \n Multiply binomial times binomial, mixed degrees\n <\/li>\n
                                                                                                                              • \n Multiply binomial times trinomial, mixed degrees\n <\/li>\n
                                                                                                                              • \n Multiply linear binomial times quadratic trinomial\n <\/li>\n
                                                                                                                              • \n Given monomial & binomial or trinomial, multiply or identify missing value\n <\/li>\n
                                                                                                                              • \n Multiply monomial times binomial or trinomial, two variables\n <\/li>\n
                                                                                                                              • \n Apply binomial theorem to expand (x \u00b1 y)^3\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
                                                                                                                              • \n Condensed: Determine missing value to make polynomial statement true\n <\/li>\n
                                                                                                                              • \n Apply binomial theorem to expand (x \u00b1 y)^n, n \u2265 4\n <\/li>\n
                                                                                                                              • \n Condensed: Apply binomial theorem to expand (x \u00b1 y)^n, n \u2265 3\n <\/li>\n
                                                                                                                              • \n 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 <\/ul>\n <\/li>\n
                                                                                                                              • \n
                                                                                                                                \n Dividing Polynomials\n <\/div>\n
                                                                                                                                  \n
                                                                                                                                • \n Divide polynomials, degree one or two by degree one or two\n <\/li>\n
                                                                                                                                • \n Divide polynomials, degree three or four by degree one\n <\/li>\n
                                                                                                                                • \n Divide polynomials, degree three or four by degree two\n <\/li>\n
                                                                                                                                • \n Divide polynomials, divisor supports synthetic division\n <\/li>\n
                                                                                                                                • \n Condensed: Divide polynomials, degree three or four by degree one or two\n <\/li>\n
                                                                                                                                • \n Divide quadratic trinomial by linear binomial, word problem context\n <\/li>\n
                                                                                                                                • \n Identify factors of polynomials\n <\/li>\n
                                                                                                                                • \n Condensed: Divide polynomials\n <\/li>\n
                                                                                                                                • \n Apply remainder theorem\n <\/li>\n
                                                                                                                                • \n Determine missing operation to make polynomial statement true\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                • \n
                                                                                                                                  \n Factoring Expressions with One Variable\n <\/div>\n
                                                                                                                                    \n
                                                                                                                                  • \n
                                                                                                                                    \n Factoring GCF\n <\/div>\n
                                                                                                                                      \n
                                                                                                                                    • \n Determine GCF in polynomials, one variable\n <\/li>\n
                                                                                                                                    • \n Factor GCF in polynomials, one variable\n <\/li>\n
                                                                                                                                    • \n Factor GCF & remaining quadratic expression, a = 1, one variable\n <\/li>\n
                                                                                                                                    • \n Factor GCF in polynomials, degree one or two, 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 Quadratic Trinomials\n <\/div>\n
                                                                                                                                        \n
                                                                                                                                      • \n Factor quadratic trinomials, a = 1, b > 0, c > 0\n <\/li>\n
                                                                                                                                      • \n Factor quadratic trinomials, a = 1\n <\/li>\n
                                                                                                                                      • \n Factor quadratic trinomials, a = 1, terms scrambled\n <\/li>\n
                                                                                                                                      • \n Factor quadratic trinomials, 1 \u2264 a \u2264 10, 0 < c \u2264 10\n <\/li>\n
                                                                                                                                      • \n Factor quadratic trinomials, 1 \u2264 a \u2264 10, 0 < |c| \u2264 10\n <\/li>\n
                                                                                                                                      • \n 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 Factor quadratic trinomials, 1 < a \u2264 10, no GCF\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 by Grouping\n <\/div>\n
                                                                                                                                          \n
                                                                                                                                        • \n Factor cubic polynomial by grouping, one variable\n <\/li>\n
                                                                                                                                        • \n Factor cubic polynomial by grouping & difference of two squares, one variable\n <\/li>\n
                                                                                                                                        • \n Factor common binomial\n <\/li>\n
                                                                                                                                        • \n Factor binomial & its opposite\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                        • \n
                                                                                                                                          \n Factoring Special Polynomials\n <\/div>\n
                                                                                                                                            \n
                                                                                                                                          • \n Factor perfect square trinomials, degree two, one variable\n <\/li>\n
                                                                                                                                          • \n Condensed: Factor perfect square trinomials, degree two\n <\/li>\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 sum & difference of two cubes, degree three, one variable\n <\/li>\n
                                                                                                                                          • \n Factor sum & difference of two cubes, degree six, one variable\n <\/li>\n
                                                                                                                                          • \n Factor sum & difference of two cubes, degree 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 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 Factoring Expressions with Multiple Variables\n <\/div>\n
                                                                                                                                                \n
                                                                                                                                              • \n Condensed: Determine GCF or LCM of two monomials, two variables\n <\/li>\n
                                                                                                                                              • \n Factor perfect square trinomials, degree two, two variables\n <\/li>\n
                                                                                                                                              • \n Factor difference of two squares, one or two variables\n <\/li>\n
                                                                                                                                              • \n Factor difference of two squares, two variables\n <\/li>\n
                                                                                                                                              • \n Factor GCF in polynomials, including two variables\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: Factor perfect square trinomials, degree two\n <\/li>\n
                                                                                                                                              • \n Given GCF & one monomial, identify second monomial\n <\/li>\n
                                                                                                                                              • \n Determine missing component of GCF\n <\/li>\n
                                                                                                                                              • \n Factor sum & difference of two cubes, degree three, two variables\n <\/li>\n
                                                                                                                                              • \n Condensed: Factor sum & difference of two cubes, degree three\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                              • \n
                                                                                                                                                \n Graphing Polynomial Functions\n <\/div>\n
                                                                                                                                                  \n
                                                                                                                                                • \n Determine points of intersection of two polynomial functions\n <\/li>\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 intervals of increase & decrease 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 Given graph, determine equation of polynomial function\n <\/li>\n
                                                                                                                                                • \n Determine zeros of polynomials & their multiplicities\n <\/li>\n
                                                                                                                                                • \n Determine minimum & maximum of polynomial functions\n <\/li>\n
                                                                                                                                                • \n Condensed: Determine graphical attributes of polynomial functions\n <\/li>\n
                                                                                                                                                • \n Given zeros, determine graph of polynomial function\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                • \n
                                                                                                                                                  \n Geometric Series\n <\/div>\n
                                                                                                                                                    \n
                                                                                                                                                  • \n Determine formula & specific term of geometric sequences\n <\/li>\n
                                                                                                                                                  • \n Condensed: Determine formula or specific term of geometric sequences\n <\/li>\n
                                                                                                                                                  • \n Determine function & specific term for geometric sequences, real-world context\n <\/li>\n <\/ul>\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                  • \n
                                                                                                                                                    \n Exponential & Logarithmic Expressions & Functions\n <\/div>\n
                                                                                                                                                      \n
                                                                                                                                                    • \n
                                                                                                                                                      \n Logarithms Introduction\n <\/div>\n
                                                                                                                                                        \n
                                                                                                                                                      • \n Evaluate log expressions, whole number base\n <\/li>\n
                                                                                                                                                      • \n Evaluate log expressions, natural log\n <\/li>\n
                                                                                                                                                      • \n Evaluate log expressions, fractional bases\n <\/li>\n
                                                                                                                                                      • \n Evaluate log expressions, using change of base\n <\/li>\n
                                                                                                                                                      • \n Condensed: Evaluate log expressions\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                      • \n
                                                                                                                                                        \n Converting Between Exponential & Logarithmic Equations\n <\/div>\n
                                                                                                                                                          \n
                                                                                                                                                        • \n Given exponential equation, determine log equation\n <\/li>\n
                                                                                                                                                        • \n Condensed: Convert between exponential & log equations\n <\/li>\n
                                                                                                                                                        • \n Given log equation, determine exponential equation\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                        • \n
                                                                                                                                                          \n Properties of Logarithms\n <\/div>\n
                                                                                                                                                            \n
                                                                                                                                                          • \n Apply power rule to expand or condense log expressions\n <\/li>\n
                                                                                                                                                          • \n Apply product rule to expand or condense log expressions\n <\/li>\n
                                                                                                                                                          • \n Apply quotient rule to expand or condense log expressions\n <\/li>\n
                                                                                                                                                          • \n Condensed: Expand or condense log expressions\n <\/li>\n
                                                                                                                                                          • \n Apply product, quotient, & power rules to expand or condense log expressions\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                          • \n
                                                                                                                                                            \n Solving Exponential Equations, Including Using Logarithms\n <\/div>\n
                                                                                                                                                              \n
                                                                                                                                                            • \n Solve exponential equations, no logs required\n <\/li>\n
                                                                                                                                                            • \n Solve exponential equations, common bases given\n <\/li>\n
                                                                                                                                                            • \n Solve exponential equations, two different bases, no common base possible\n <\/li>\n
                                                                                                                                                            • \n Solve simple exponential equations\n <\/li>\n
                                                                                                                                                            • \n Solve exponential equations, base e\n <\/li>\n
                                                                                                                                                            • \n Solve exponential equations, both bases reduce to common base\n <\/li>\n
                                                                                                                                                            • \n Solve exponential equations, one base reduces to common base\n <\/li>\n
                                                                                                                                                            • \n Solve exponential equations, one variable & one base\n <\/li>\n
                                                                                                                                                            • \n Create equivalent exponential expressions using exponent properties\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                            • \n
                                                                                                                                                              \n Solving Exponential Models\n <\/div>\n
                                                                                                                                                                \n
                                                                                                                                                              • \n Exponential growth & decay, real-world context\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
                                                                                                                                                              • \n Determine exponential function, real-world context\n <\/li>\n
                                                                                                                                                              • \n Interpret values in exponential functions, real-world context\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                              • \n
                                                                                                                                                                \n Solving Logarithmic Equations\n <\/div>\n
                                                                                                                                                                  \n
                                                                                                                                                                • \n Solve log equations, log = log\n <\/li>\n
                                                                                                                                                                • \n Solve log equations, log = #\n <\/li>\n
                                                                                                                                                                • \n Solve log equations, log + log = #, same base, using product rule\n <\/li>\n
                                                                                                                                                                • \n Solve log equations, log – log = #, same base, using quotient rule\n <\/li>\n
                                                                                                                                                                • \n Condensed: Solve log equations, log = #, using product & quotient rules\n <\/li>\n
                                                                                                                                                                • \n Condensed: Solve log equations\n <\/li>\n
                                                                                                                                                                • \n Determine if solution to logarithmic equation is reasonable\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                • \n
                                                                                                                                                                  \n Solving Natural Logarithmic Equations\n <\/div>\n
                                                                                                                                                                    \n
                                                                                                                                                                  • \n Solve natural log equations, ln = ln\n <\/li>\n
                                                                                                                                                                  • \n Solve natural log equations, ln = #\n <\/li>\n
                                                                                                                                                                  • \n Solve natural log equations, ln + ln = #\n <\/li>\n
                                                                                                                                                                  • \n Solve natural log equations, ln – ln = #\n <\/li>\n
                                                                                                                                                                  • \n Condensed: Solve natural log equations\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                  • \n
                                                                                                                                                                    \n Key Features of Exponential Functions\n <\/div>\n
                                                                                                                                                                      \n
                                                                                                                                                                    • \n
                                                                                                                                                                      \n Domain & Range of Exponential Functions\n <\/div>\n
                                                                                                                                                                        \n
                                                                                                                                                                      • \n Determine domain & range of discrete exponential functions\n <\/li>\n
                                                                                                                                                                      • \n Determine domain & range of discrete exponential functions, real-world context\n <\/li>\n
                                                                                                                                                                      • \n Determine restricted domain & range of exponential functions\n <\/li>\n
                                                                                                                                                                      • \n Given verbal description & graph, determine domain & range of exponential function \n <\/li>\n
                                                                                                                                                                      • \n Given equation, determine domain & range of exponential function \n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                      • \n
                                                                                                                                                                        \n Key Attributes of Exponential Functions\n <\/div>\n
                                                                                                                                                                          \n
                                                                                                                                                                        • \n Determine x-intercepts\/zeros & y-intercepts of exponential functions\n <\/li>\n
                                                                                                                                                                        • \n Determine y-intercept of exponential function, real-world context\n <\/li>\n
                                                                                                                                                                        • \n Determine minimum & maximum of exponential functions\n <\/li>\n
                                                                                                                                                                        • \n Determine asymptote of exponential functions\n <\/li>\n
                                                                                                                                                                        • \n Given exponential equation, determine asymptote\n <\/li>\n
                                                                                                                                                                        • \n Given graph, determine asymptote of exponential function\n <\/li>\n
                                                                                                                                                                        • \n Determine asymptote of exponential functions, real-world context\n <\/li>\n
                                                                                                                                                                        • \n Determine end behavior of exponential functions\n <\/li>\n
                                                                                                                                                                        • \n 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
                                                                                                                                                                        • \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 Graphing Exponential Functions\n <\/div>\n
                                                                                                                                                                              \n
                                                                                                                                                                            • \n Given equation, graph exponential function, including base e\n <\/li>\n
                                                                                                                                                                            • \n Given graph, determine equation of exponential function\n <\/li>\n
                                                                                                                                                                            • \n 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 graph, identify solution to exponential equation\n <\/li>\n
                                                                                                                                                                            • \n Given table, determine exponential growth function\n <\/li>\n
                                                                                                                                                                            • \n Given table, determine exponential decay function\n <\/li>\n
                                                                                                                                                                            • \n Compare exponential functions represented differently\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                            • \n
                                                                                                                                                                              \n Key Features of Logarithmic Functions\n <\/div>\n
                                                                                                                                                                                \n
                                                                                                                                                                              • \n Determine x-intercepts\/zeros & y-intercepts of log functions\n <\/li>\n
                                                                                                                                                                              • \n Determine minimum & maximum of log functions\n <\/li>\n
                                                                                                                                                                              • \n Determine asymptote of log functions\n <\/li>\n
                                                                                                                                                                              • \n Determine end behavior of log functions\n <\/li>\n
                                                                                                                                                                              • \n Condensed: Determine graphical attributes of log functions\n <\/li>\n
                                                                                                                                                                              • \n Given table, determine attributes of log function\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                              • \n
                                                                                                                                                                                \n Transformations of Logarithmic Functions\n <\/div>\n
                                                                                                                                                                                  \n
                                                                                                                                                                                • \n Identify & graph vertical & horizontal shifts of log functions\n <\/li>\n
                                                                                                                                                                                • \n Identify & graph reflections of log functions\n <\/li>\n
                                                                                                                                                                                • \n Identify & graph vertical & horizontal stretches & compressions of log functions\n <\/li>\n
                                                                                                                                                                                • \n Given log equation, identify description of transformations\n <\/li>\n
                                                                                                                                                                                • \n Graph log functions using all transformations\n <\/li>\n
                                                                                                                                                                                • \n Condensed: Graph log functions & identify transformations\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                • \n
                                                                                                                                                                                  \n Graphing Logarithmic Functions\n <\/div>\n
                                                                                                                                                                                    \n
                                                                                                                                                                                  • \n Given equation, graph log function\n <\/li>\n
                                                                                                                                                                                  • \n Given graph, determine equation of log function\n <\/li>\n <\/ul>\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                  • \n
                                                                                                                                                                                    \n Rational Expressions & Functions\n <\/div>\n
                                                                                                                                                                                      \n
                                                                                                                                                                                    • \n
                                                                                                                                                                                      \n Rational Function Values\n <\/div>\n
                                                                                                                                                                                        \n
                                                                                                                                                                                      • \n Identify value that makes rational expression undefined\n <\/li>\n
                                                                                                                                                                                      • \n Determine values that make rational expressions undefined\n <\/li>\n
                                                                                                                                                                                      • \n Given rational function, determine function value\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                      • \n
                                                                                                                                                                                        \n Simplifying Rational Expressions\n <\/div>\n
                                                                                                                                                                                          \n
                                                                                                                                                                                        • \n Simplify rational expressions by factoring GCF, one monomial & one binomial\n <\/li>\n
                                                                                                                                                                                        • \n Simplify rational expressions by factoring GCF, two binomials\n <\/li>\n
                                                                                                                                                                                        • \n Simplify rational expressions by factoring GCF, two binomials, remaining binomials cancel\n <\/li>\n
                                                                                                                                                                                        • \n Simplify rational expressions by factoring GCF, one trinomial or difference of squares\n <\/li>\n
                                                                                                                                                                                        • \n Simplify rational expressions by factoring GCF, trinomials & differences of squares\n <\/li>\n
                                                                                                                                                                                        • \n Simplify rational expressions by factoring GCF, remaining leading coefficient one\n <\/li>\n
                                                                                                                                                                                        • \n Condensed: Simplify rational expressions\n <\/li>\n
                                                                                                                                                                                        • \n Condensed: Simplify rational expressions, including trinomials\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                        • \n
                                                                                                                                                                                          \n Solving Rational Equations\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 rational equations, one term each side\n <\/li>\n
                                                                                                                                                                                          • \n Solve rational equations, multiple terms on one side\n <\/li>\n
                                                                                                                                                                                          • \n Condensed: Solve rational equations\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                          • \n
                                                                                                                                                                                            \n Modeling Rational Functions\n <\/div>\n
                                                                                                                                                                                              \n
                                                                                                                                                                                            • \n Determine rational equations, real-world context\n <\/li>\n
                                                                                                                                                                                            • \n Determine if solution to rational equation is reasonable\n <\/li>\n
                                                                                                                                                                                            • \n Determine rational inequalities, real-world context\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                            • \n
                                                                                                                                                                                              \n Multiplying & Dividing Rational Expressions\n <\/div>\n
                                                                                                                                                                                                \n
                                                                                                                                                                                              • \n Multiply rational expressions\n <\/li>\n
                                                                                                                                                                                              • \n Divide rational expressions\n <\/li>\n
                                                                                                                                                                                              • \n Condensed: Multiply & divide rational expressions\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                              • \n
                                                                                                                                                                                                \n Adding & Subtracting Rational Expressions\n <\/div>\n
                                                                                                                                                                                                  \n
                                                                                                                                                                                                • \n Add rational expressions\n <\/li>\n
                                                                                                                                                                                                • \n Subtract rational expressions\n <\/li>\n
                                                                                                                                                                                                • \n Condensed: Add & subtract rational expressions\n <\/li>\n
                                                                                                                                                                                                • \n Condensed: Add, subtract, multiply, & divide rational expressions\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                • \n
                                                                                                                                                                                                  \n Graphing Rational Functions\n <\/div>\n
                                                                                                                                                                                                    \n
                                                                                                                                                                                                  • \n Graph rational functions\n <\/li>\n
                                                                                                                                                                                                  • \n Compare rational functions represented differently\n <\/li>\n <\/ul>\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                  • \n
                                                                                                                                                                                                    \n Foundations of Geometry\n <\/div>\n
                                                                                                                                                                                                      \n
                                                                                                                                                                                                    • \n
                                                                                                                                                                                                      \n Two- & Three-Dimensional Figures\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
                                                                                                                                                                                                      • \n Classify 3D figures\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 3D figures from rotations of 2D figures\n <\/li>\n
                                                                                                                                                                                                      • \n Condensed: Determine cross sections of cylinders, pyramids, & cones\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                      • \n
                                                                                                                                                                                                        \n Geometric Modeling\n <\/div>\n
                                                                                                                                                                                                          \n
                                                                                                                                                                                                        • \n Apply concepts of density based on area & volume, real-world context\n <\/li>\n
                                                                                                                                                                                                        • \n Apply geometric methods to solve design problems, real-world context\n <\/li>\n
                                                                                                                                                                                                        • \n Describe objects using geometric shapes, measures, & properties\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                        • \n
                                                                                                                                                                                                          \n Finite Geometric Series\n <\/div>\n
                                                                                                                                                                                                            \n
                                                                                                                                                                                                          • \n Determine sum of finite geometric series\n <\/li>\n
                                                                                                                                                                                                          • \n Determine sum of finite geometric series, real-world context\n <\/li>\n <\/ul>\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                          • \n
                                                                                                                                                                                                            \n Circles & Conic Sections\n <\/div>\n
                                                                                                                                                                                                              \n
                                                                                                                                                                                                            • \n
                                                                                                                                                                                                              \n Equations of Circles\n <\/div>\n
                                                                                                                                                                                                                \n
                                                                                                                                                                                                              • \n Complete the square & graph, circle equations\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                              • \n
                                                                                                                                                                                                                \n Equations of Parabolas\n <\/div>\n
                                                                                                                                                                                                                  \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
                                                                                                                                                                                                                  • \n
                                                                                                                                                                                                                    \n Chords, Tangents, & Secants\n <\/div>\n
                                                                                                                                                                                                                      \n
                                                                                                                                                                                                                    • \n Given chord, secant, & tangent on same circle, determine angles & arcs\n <\/li>\n <\/ul>\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                    • \n
                                                                                                                                                                                                                      \n Trigonometry\n <\/div>\n
                                                                                                                                                                                                                        \n
                                                                                                                                                                                                                      • \n
                                                                                                                                                                                                                        \n Radians & Degrees\n <\/div>\n
                                                                                                                                                                                                                          \n
                                                                                                                                                                                                                        • \n Convert radians to degrees\n <\/li>\n
                                                                                                                                                                                                                        • \n Convert degrees to radians\n <\/li>\n
                                                                                                                                                                                                                        • \n Condensed: Convert between degrees & radians\n <\/li>\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 Right Triangles\n <\/div>\n
                                                                                                                                                                                                                            \n
                                                                                                                                                                                                                          • \n
                                                                                                                                                                                                                            \n Determining Trig Values\n <\/div>\n
                                                                                                                                                                                                                              \n
                                                                                                                                                                                                                            • \n Identify definitions of trig functions\n <\/li>\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 trig ratio, cot, sec, & csc\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 Condensed: Given right triangle, determine trig ratio\n <\/li>\n
                                                                                                                                                                                                                            • \n Condensed: Given special right triangle, determine trig function value\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                            • \n
                                                                                                                                                                                                                              \n Solving Sides of Right Triangles\n <\/div>\n
                                                                                                                                                                                                                                \n
                                                                                                                                                                                                                              • \n Given side & angle, determine specified side using tangent\n <\/li>\n
                                                                                                                                                                                                                              • \n Given side & angle, determine specified side using cosine\n <\/li>\n
                                                                                                                                                                                                                              • \n Given side & angle, determine specified side using sine\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 Determine hypotenuse of right triangle using cosine\n <\/li>\n
                                                                                                                                                                                                                              • \n Determine leg of right triangle using cosine\n <\/li>\n
                                                                                                                                                                                                                              • \n Determine hypotenuse of right triangle using sine\n <\/li>\n
                                                                                                                                                                                                                              • \n Determine leg of right triangle using sine\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 Unit Circle\n <\/div>\n
                                                                                                                                                                                                                                    \n
                                                                                                                                                                                                                                  • \n
                                                                                                                                                                                                                                    \n Trig Function Values, Degrees\n <\/div>\n
                                                                                                                                                                                                                                      \n
                                                                                                                                                                                                                                    • \n Determine trig function values, unit circle, first quadrant, degrees, sin, cos, & tan, exact answers\n <\/li>\n
                                                                                                                                                                                                                                    • \n Determine trig function values, unit circle, second quadrant, degrees, sin, cos, & tan, exact answers\n <\/li>\n
                                                                                                                                                                                                                                    • \n Determine trig function values, unit circle, third quadrant, degrees, sin, cos, & tan, exact answers\n <\/li>\n
                                                                                                                                                                                                                                    • \n Determine trig function values, unit circle, fourth quadrant, degrees, sin, cos, & tan, exact answers\n <\/li>\n
                                                                                                                                                                                                                                    • \n Determine sine values, unit circle, degrees, exact answers\n <\/li>\n
                                                                                                                                                                                                                                    • \n Determine cosine values, unit circle, degrees, exact answers\n <\/li>\n
                                                                                                                                                                                                                                    • \n Determine tangent values, unit circle, degrees, exact answers\n <\/li>\n
                                                                                                                                                                                                                                    • \n Determine trig function values, unit circle, axes, degrees, sin, cos, & tan, exact answers\n <\/li>\n
                                                                                                                                                                                                                                    • \n Determine trig function values, unit circle, degrees, sin, cos, & tan, exact answers\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                    • \n
                                                                                                                                                                                                                                      \n Trig Function Values, Radians\n <\/div>\n
                                                                                                                                                                                                                                        \n
                                                                                                                                                                                                                                      • \n Determine trig function values, unit circle, first quadrant, radians, sin, cos, & tan, exact answers\n <\/li>\n
                                                                                                                                                                                                                                      • \n Determine trig function values, unit circle, second quadrant, radians, sin, cos, & tan, exact answers\n <\/li>\n
                                                                                                                                                                                                                                      • \n Determine trig function values, unit circle, third quadrant, radians, sin, cos, & tan, exact answers\n <\/li>\n
                                                                                                                                                                                                                                      • \n Determine trig function values, unit circle, fourth quadrant, radians, sin, cos, & tan, exact answers\n <\/li>\n
                                                                                                                                                                                                                                      • \n Determine trig function values, unit circle, axes, radians, sin, cos, & tan\n <\/li>\n
                                                                                                                                                                                                                                      • \n Determine sine values, unit circle, radians, exact answers\n <\/li>\n
                                                                                                                                                                                                                                      • \n Determine cosine values, unit circle, radians, exact answers\n <\/li>\n
                                                                                                                                                                                                                                      • \n Determine tangent values, unit circle, radians, exact answers\n <\/li>\n
                                                                                                                                                                                                                                      • \n Given arc length & radius, determine radian measure\n <\/li>\n
                                                                                                                                                                                                                                      • \n Determine trig function values, unit circle, radians, sin, cos, & tan, exact answers\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                      • \n
                                                                                                                                                                                                                                        \n Trig Function Values, Degrees & Radians\n <\/div>\n
                                                                                                                                                                                                                                          \n
                                                                                                                                                                                                                                        • \n Determine trig function values, unit circle, cot, csc, & sec, exact answers\n <\/li>\n
                                                                                                                                                                                                                                        • \n Determine trig function values, unit circle, sin, cos, & tan, exact answers\n <\/li>\n <\/ul>\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                        • \n
                                                                                                                                                                                                                                          \n Solving General Triangles Using Law of Sines & Cosines\n <\/div>\n
                                                                                                                                                                                                                                            \n
                                                                                                                                                                                                                                          • \n Determine sides of triangles using law of sines\n <\/li>\n
                                                                                                                                                                                                                                          • \n Determine sides of triangles using law of cosines\n <\/li>\n
                                                                                                                                                                                                                                          • \n Determine angles of triangles using law of cosines\n <\/li>\n
                                                                                                                                                                                                                                          • \n Determine sides or angles of triangles using law of cosines, multiple choice\n <\/li>\n
                                                                                                                                                                                                                                          • \n Condensed: Determine sides & angles of triangles using law of cosines\n <\/li>\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 area of triangles using sine formula\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
                                                                                                                                                                                                                                          • \n
                                                                                                                                                                                                                                            \n Trigonometric Modeling\n <\/div>\n
                                                                                                                                                                                                                                              \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 Condensed: Determine angles or sides using special right triangle relationships, real-world context\n <\/li>\n
                                                                                                                                                                                                                                            • \n Given legs of right triangle, determine angle using arctangent, real-world context\n <\/li>\n
                                                                                                                                                                                                                                            • \n Given right triangle, determine side, real-world context\n <\/li>\n
                                                                                                                                                                                                                                            • \n Condensed: Given right triangle, determine sides or angles, real-world context\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                            • \n
                                                                                                                                                                                                                                              \n Graphing Trigonometric Functions\n <\/div>\n
                                                                                                                                                                                                                                                \n
                                                                                                                                                                                                                                              • \n Given graph or equation, determine amplitude of trig function\n <\/li>\n
                                                                                                                                                                                                                                              • \n Given graph or equation, determine period of trig function\n <\/li>\n
                                                                                                                                                                                                                                              • \n Given graph or equation, determine midline of trig function\n <\/li>\n
                                                                                                                                                                                                                                              • \n Condensed: Given graph or equation, determine characteristics of trig function\n <\/li>\n
                                                                                                                                                                                                                                              • \n Determine graph of trig functions, sin, one transformation\n <\/li>\n
                                                                                                                                                                                                                                              • \n Determine graph of trig functions, cos, one transformation\n <\/li>\n
                                                                                                                                                                                                                                              • \n Determine graph of trig functions, sin, multiple transformations\n <\/li>\n
                                                                                                                                                                                                                                              • \n Determine graph of trig functions, cos, multiple transformations\n <\/li>\n
                                                                                                                                                                                                                                              • \n Identify trigonometric functions to model periodic data, real-world context\n <\/li>\n
                                                                                                                                                                                                                                              • \n Determine graph of trig functions, tan & cot\n <\/li>\n
                                                                                                                                                                                                                                              • \n Determine graph of trig functions, sec & csc\n <\/li>\n <\/ul>\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                              • \n
                                                                                                                                                                                                                                                \n Data Analysis & Probability\n <\/div>\n
                                                                                                                                                                                                                                                  \n
                                                                                                                                                                                                                                                • \n
                                                                                                                                                                                                                                                  \n Conditional Probability\n <\/div>\n
                                                                                                                                                                                                                                                    \n
                                                                                                                                                                                                                                                  • \n Determine conditional probabilities from two-way frequency tables\n <\/li>\n
                                                                                                                                                                                                                                                  • \n Determine conditional probabilities, including two-way frequency tables\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                  • \n
                                                                                                                                                                                                                                                    \n Interpreting Categorical & Quantitative Data\n <\/div>\n
                                                                                                                                                                                                                                                      \n
                                                                                                                                                                                                                                                    • \n Identify descriptive & inferential statistics\n <\/li>\n
                                                                                                                                                                                                                                                    • \n Identify experiments & observational studies\n <\/li>\n
                                                                                                                                                                                                                                                    • \n Identify systematic, cluster, stratified, & simple random samples\n <\/li>\n
                                                                                                                                                                                                                                                    • \n Identify simulations used to acquire simple random samples\n <\/li>\n
                                                                                                                                                                                                                                                    • \n Identify simulations to model probability events\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                    • \n
                                                                                                                                                                                                                                                      \n Making Inferences & Justifying Conclusions\n <\/div>\n
                                                                                                                                                                                                                                                        \n
                                                                                                                                                                                                                                                      • \n Determine inferences from samples\n <\/li>\n
                                                                                                                                                                                                                                                      • \n Determine expected value & identify conclusion\n <\/li>\n
                                                                                                                                                                                                                                                      • \n Identify variables of interest\n <\/li>\n
                                                                                                                                                                                                                                                      • \n Condensed: Identify samples, populations, variables of interest, & statistical inferences\n <\/li>\n
                                                                                                                                                                                                                                                      • \n Identify statistical inferences\n <\/li>\n
                                                                                                                                                                                                                                                      • \n Identify samples & populations\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                      • \n
                                                                                                                                                                                                                                                        \n Using Probability to Make Decisions\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 predicted values or compare likelihood of events\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                        • \n
                                                                                                                                                                                                                                                          \n Normal Distributions\n <\/div>\n
                                                                                                                                                                                                                                                            \n
                                                                                                                                                                                                                                                          • \n Given mean & standard deviation, determine z-score, real-world context\n <\/li>\n
                                                                                                                                                                                                                                                          • \n Given z-score, determine probability\n <\/li>\n
                                                                                                                                                                                                                                                          • \n Given mean, determine z-score & probability, real-world context\n <\/li>\n
                                                                                                                                                                                                                                                          • \n Given proportion, determine z-score & probability, real-world context\n <\/li>\n
                                                                                                                                                                                                                                                          • \n Condensed: Given mean or proportion, determine z-score & probability, real-world context\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                          • \n
                                                                                                                                                                                                                                                            \n Confidence Intervals\n <\/div>\n
                                                                                                                                                                                                                                                              \n
                                                                                                                                                                                                                                                            • \n Determine margin of error for confidence interval\n <\/li>\n
                                                                                                                                                                                                                                                            • \n Given sample data, estimate population mean using confidence intervals\n <\/li>\n
                                                                                                                                                                                                                                                            • \n Given sample data, estimate population proportion using confidence intervals\n <\/li>\n
                                                                                                                                                                                                                                                            • \n Condensed: Given sample data, estimate population proportion or mean using confidence intervals\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                            • \n
                                                                                                                                                                                                                                                              \n Hypothesis Tests\n <\/div>\n
                                                                                                                                                                                                                                                                \n
                                                                                                                                                                                                                                                              • \n
                                                                                                                                                                                                                                                                \n Hypothesis Tests, One Mean\n <\/div>\n
                                                                                                                                                                                                                                                                  \n
                                                                                                                                                                                                                                                                • \n Identify hypotheses for hypothesis test, one mean\n <\/li>\n
                                                                                                                                                                                                                                                                • \n Determine test statistics, one mean\n <\/li>\n
                                                                                                                                                                                                                                                                • \n Identify & determine hypothesis test steps, one mean\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                                • \n
                                                                                                                                                                                                                                                                  \n Hypothesis Tests, Two Means\n <\/div>\n
                                                                                                                                                                                                                                                                    \n
                                                                                                                                                                                                                                                                  • \n Identify hypotheses for hypothesis test, two means\n <\/li>\n
                                                                                                                                                                                                                                                                  • \n Determine test statistics, two means\n <\/li>\n
                                                                                                                                                                                                                                                                  • \n Identify & determine hypothesis test steps, two means\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                                  • \n
                                                                                                                                                                                                                                                                    \n Hypothesis Tests, One Proportion\n <\/div>\n
                                                                                                                                                                                                                                                                      \n
                                                                                                                                                                                                                                                                    • \n Determine test statistics, one proportion\n <\/li>\n
                                                                                                                                                                                                                                                                    • \n Identify hypotheses for hypothesis test, one proportion\n <\/li>\n
                                                                                                                                                                                                                                                                    • \n Identify & determine hypothesis test steps, one proportion\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                                    • \n
                                                                                                                                                                                                                                                                      \n Hypothesis Tests, Two Proportions\n <\/div>\n
                                                                                                                                                                                                                                                                        \n
                                                                                                                                                                                                                                                                      • \n Determine test statistics, two proportions\n <\/li>\n
                                                                                                                                                                                                                                                                      • \n Identify hypotheses for hypothesis test, two proportions\n <\/li>\n
                                                                                                                                                                                                                                                                      • \n Identify & determine hypothesis test steps, two proportions\n <\/li>\n <\/ul>\n <\/li>\n
                                                                                                                                                                                                                                                                      • \n
                                                                                                                                                                                                                                                                        \n Hypothesis Tests, Mixed\n <\/div>\n
                                                                                                                                                                                                                                                                          \n
                                                                                                                                                                                                                                                                        • \n Determine critical z-score & p-value\n <\/li>\n
                                                                                                                                                                                                                                                                        • \n Given critical z-score & test statistic, determine conclusion for null hypothesis\n <\/li>\n
                                                                                                                                                                                                                                                                        • \n Condensed: Identify hypotheses for hypothesis test, one mean or proportion\n <\/li>\n
                                                                                                                                                                                                                                                                        • \n Determine conclusion from statistical summaries\n <\/li>\n
                                                                                                                                                                                                                                                                        • \n Condensed: Determine test statistics, one mean or proportion\n <\/li>\n
                                                                                                                                                                                                                                                                        • \n Condensed: Identify hypotheses for hypothesis test, two means or proportions\n <\/li>\n
                                                                                                                                                                                                                                                                        • \n Condensed: Identify & determine hypothesis test steps, one mean or proportion\n <\/li>\n
                                                                                                                                                                                                                                                                        • \n Condensed: Determine test statistics, two means or proportions\n <\/li>\n
                                                                                                                                                                                                                                                                        • \n Condensed: Identify & determine hypothesis test steps, two means or proportions\n <\/li>\n <\/ul>\n <\/li>\n <\/ul>\n <\/li>\n <\/ul>\n <\/li>\n <\/ul>\n<\/div>\n\n\n\n

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

                                                                                                                                                                                                                                                                          Math 3 Skills VIEW ALL SKILLS Functions Combining Functions Using Arithmetic Operations Add functions, (f + g)(x) Subtract functions, (f – g)(x) Multiply functions, (f * g)(x) Divide functions, (f \/ g)(x) Add function values, (f + g)(#) Subtract function values, (f – g)(#) Multiply function values, (f * g)(#) Divide function values, (f \/…<\/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\/57389"}],"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=57389"}],"version-history":[{"count":1,"href":"https:\/\/getmoremath.com\/wp-json\/wp\/v2\/pages\/57389\/revisions"}],"predecessor-version":[{"id":58155,"href":"https:\/\/getmoremath.com\/wp-json\/wp\/v2\/pages\/57389\/revisions\/58155"}],"wp:attachment":[{"href":"https:\/\/getmoremath.com\/wp-json\/wp\/v2\/media?parent=57389"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}