HiSET® Math Khan Academy Instructional Support Videos and Exercises In collaboration with Khan Academy, the HiSET® program has identified videos and exercises available at www.khanacademy.org to support HiSET® Math test preparation. We’ve correlated the Office of Career, Technology and Adult Education’s (OCTAE) College and Career Readiness Standards with their online resources to provide you with targeted instructional support for the same standards the HiSET® Math test assesses competency. Mathematics: Number and Quantity The Mathematics test assesses mathematical knowledge and competencies. The test measures a candidate’s ability to solve quantitative problems using fundamental concepts and reasoning skills. The training videos can improve student’s fundamental skills needed to be successful in the HiSET® Math test’s Number and Operations on Numbers content category. The Real Numbers Extend the properties of exponents to rational exponents Topic Tutorial Video Tutorial Video 2 Introduction to Exponents https://www.khanacademy.org/math/al gebra-basics/core-algebrafoundations/world-of-exponentscollege-readiness/v/introduction-toexponents https://www.khanacademy.org/math/al gebra-basics/core-algebrafoundations/world-of-exponentscollege-readiness/v/raising-a-numberto-the-0th-and-1st-power https://www.khanacademy.org/math/al gebra-basics/core-algebrafoundations/world-of-exponentscollege-readiness/v/powers-of-1-and-1 https://www.khanacademy.org/math/prealgebra/exponents-radicals/World-ofexponents/v/introduction-to-exponents Raising a Number to the 0th and 1st power Patterns in raising 1 and -1 to different powers https://www.khanacademy.org/math/prealgebra/exponents-radicals/World-ofexponents/v/raising-a-number-to-the-0thand-1st-power https://www.khanacademy.org/math/prealgebra/exponents-radicals/World-ofexponents/v/powers-of-1-and-1 Powers of Fractions Powers of Zero (V) Exponent Example 1 (V) Exponent Example 2 (V) Positive and Negative Exponents (Ex) Extend the properties of exponents to rational exponents https://www.khanacademy.org/math/al gebra-basics/core-algebrafoundations/world-of-exponentscollege-readiness/v/powers-of-fractions https://www.khanacademy.org/math/al gebra-basics/core-algebrafoundations/world-of-exponentscollege-readiness/v/powers-of-zero https://www.khanacademy.org/math/al gebra-basics/core-algebrafoundations/world-of-exponentscollege-readiness/v/understandingexponents-2 https://www.khanacademy.org/math/al gebra-basics/core-algebrafoundations/world-of-exponentscollege-readiness/v/understandingexponents https://www.khanacademy.org/math/c c-eighth-grade-math/cc-8th-numbersoperations/cc-8th-pos-negexponents/e/exponents_2 https://www.khanacademy.org/math/al gebra/exponent-equations/alg-integerexponents/e/exponents_2 https://www.khanacademy.org/math/prealgebra/exponents-radicals/World-ofexponents/v/powers-of-fractions https://www.khanacademy.org/math/prealgebra/exponents-radicals/World-ofexponents/v/powers-of-zero https://www.khanacademy.org/math/prealgebra/exponents-radicals/World-ofexponents/v/understanding-exponents-2 https://www.khanacademy.org/math/prealgebra/exponents-radicals/World-ofexponents/v/understanding-exponents https://www.khanacademy.org/math/prealgebra/exponents-radicals/negativeexponents-tutorial/e/exponents_2 Use properties of rational and irrational numbers Topic Tutorial Video Tutorial Video 2 Recognizing irrational numbers https://www.khanacademy.org/math/c c-eighth-grade-math/cc-8th-numbersoperations/cc-8th-irrationalnumbers/v/recognizing-irrationalnumbers https://www.khanacademy.org/math/alge bra/ratio-proportion-topic/alg-rationalirrational-numbers/v/recognizingirrational-numbers Recognizing rational and irrational numbers https://www.khanacademy.org/math/c c-eighth-grade-math/cc-8th-numbersoperations/cc-8th-irrationalnumbers/e/recognizing-rational-andirrational-numbers https://www.khanacademy.org/math/alge bra/ratio-proportion-topic/alg-rationalirrational-numbers/e/recognizing-rationaland-irrational-numbers The Complex Number System Perform arithmetic operations with complex numbers Topic Tutorial Video Tutorial Video 2 Introduction to i and imaginary numbers https://www.khanacademy.org/math/p recalculus/imaginary_complex_precalc/i _precalc/v/introduction-to-i-andimaginary-numbers https://www.khanacademy.org/math/p recalculus/imaginary_complex_precalc/i _precalc/e/imaginary_unit_powers https://www.khanacademy.org/math/alge bra2/complex-numbersa2/imaginary_unit_i-a2/v/introduction-toi-and-imaginary-numbers https://www.khanacademy.org/math/alge bra2/complex-numbersa2/imaginary_unit_ia2/e/imaginary_unit_powers https://www.khanacademy.org/math/alge bra2/complex-numbersa2/complex_numbers/v/introduction-tocomplex-numbers Imaginary Unit Powers Introduction to complex numbers IIT Jee Complex Numbers Part 1 IIT JEE complex numbers Part 2 IIT JEE complex numbers Part 3 Adding complex numbers and https://www.khanacademy.org/math/p recalculus/imaginary_complex_precalc/ complex_num_precalc/v/complexnumber-intro https://www.khanacademy.org/math/p recalculus/imaginary_complex_precalc/ complex_number_challenge/v/iit-jeecomplex-numbers-part-1 https://www.khanacademy.org/math/p recalculus/imaginary_complex_precalc/ complex_number_challenge/v/iit-jeecomplex-numbers-part-2 https://www.khanacademy.org/math/p recalculus/imaginary_complex_precalc/ complex_number_challenge/v/iit-jeecomplex-numbers-part-3 https://www.khanacademy.org/math/p recalculus/imaginary_complex_precalc/ complex_num_precalc/v/complexnumber-addition Argand Diagrams Adding complex numbers Subtracting Complex Numbers Adding and Subtracting Complex Numbers Multiplying Complex Numbers Multiplying Complex Numbers Dividing Complex Numbers Dividing Complex Numbers Absolute Value of a Complex Number https://www.khanacademy.org/math/al gebra2/complex-numbersa2/complex_numbers/v/addingcomplex-numbers https://www.khanacademy.org/math/p recalculus/imaginary_complex_precalc/ complex_num_precalc/v/complexnumber-subtraction https://www.khanacademy.org/math/p recalculus/imaginary_complex_precalc/ complex_num_precalc/e/adding_and_s ubtracting_complex_numbers https://www.khanacademy.org/math/p recalculus/imaginary_complex_precalc/ multiplying-dividingcomplex/v/multiplying-complexnumbers https://www.khanacademy.org/math/p recalculus/imaginary_complex_precalc/ multiplying-dividingcomplex/e/multiplying_complex_numb ers https://www.khanacademy.org/math/p recalculus/imaginary_complex_precalc/ multiplying-dividing-complex/v/dividingcomplex-numbers https://www.khanacademy.org/math/p recalculus/imaginary_complex_precalc/ multiplying-dividingcomplex/e/dividing_complex_numbers https://www.khanacademy.org/math/al gebra2/complex-numbersa2/complex_numbers/v/absolute-valueof-a-complex-number https://www.khanacademy.org/math/alge bra2/complex-numbersa2/complex_numbers/v/adding-complexnumbers https://www.khanacademy.org/math/alge bra2/complex-numbersa2/complex_numbers/v/subtractingcomplex-numbers https://www.khanacademy.org/math/alge bra2/complex-numbersa2/complex_numbers/e/adding_and_subtr acting_complex_numbers https://www.khanacademy.org/math/alge bra2/complex-numbersa2/complex_numbers/v/multiplyingcomplex-numbers https://www.khanacademy.org/math/alge bra2/complex-numbersa2/complex_numbers/e/multiplying_comp lex_numbers https://www.khanacademy.org/math/alge bra2/complex-numbersa2/complex_numbers/v/dividing-complexnumbers https://www.khanacademy.org/math/alge bra2/complex-numbersa2/complex_numbers/e/dividing_complex _numbers https://www.khanacademy.org/math/alge bra2/complex-numbersa2/complex_numbers/v/absolute-value-ofa-complex-number Absolute Value of a Complex Number https://www.khanacademy.org/math/al gebra2/complex-numbersa2/complex_numbers/e/absolute_value _of_complex_numbers https://www.khanacademy.org/math/alge bra2/complex-numbersa2/complex_numbers/e/absolute_value_o f_complex_numbers Represent complex numbers and their operations on the complex plane Topic Tutorial Video Tutorial Video 2 Plotting complex numbers on the complex plane https://www.khanacademy.org/math/p recalculus/imaginary_complex_precalc/ complex_num_precalc/v/plottingcomplex-numbers-on-the-complexplane https://www.khanacademy.org/math/alge bra2/complex-numbersa2/complex_numbers/v/plotting-complexnumbers-on-the-complex-plane Perform complex numbers and their operations on the complex plans Topic Tutorial Video Tutorial Video 2 The complex plane https://www.khanacademy.org/math/ precalculus/imaginary_complex_precal c/complex_num_precalc/e/the_compl ex_plane https://www.khanacademy.org/math/ precalculus/imaginary_complex_precal c/complex_analysis/e/complex_numbe r_polar_form_intuition https://www.khanacademy.org/math/ precalculus/imaginary_complex_precal c/complex_num_precalc/e/complex_pl ane_operations https://www.khanacademy.org/math/alge bra2/complex-numbersa2/complex_numbers/e/the_complex_pla ne Complex number polar form intuition Complex plane operations Mathematics: Algebra The HiSET exam contains Mathematics problems that test abstract concepts such as algebraic patterns. The training videos can help familiarize students with fundamental skills needed to be successful in the HiSET’s Algebraic Concepts content category. Seeing Structure in Expressions Interpret the structure of expressions Topic Tutorial Video Structure in Expressions 1 https://www.khanacademy.org/math /algebra/linear_inequalities/structure -expressions-linear/e/structure-inexpressions-1 http://www.khanacademy.org/math/ algebra/multiplying-factoringexpression/factoring-specialproducts/v/factoring-difference-ofsquares http://www.khanacademy.org/math/ algebra/multiplying-factoringexpression/factoring-specialproducts/e/factoring_difference_of_s quares_1 http://www.khanacademy.org/math/ algebra/multiplying-factoringexpression/factoring-specialproducts/v/u09-l2-t1-we3-factoringspecial-products-3 http://www.khanacademy.org/math/ algebra/multiplying-factoringexpression/factoring-specialproducts/e/factoring_difference_of_s quares_2 http://www.khanacademy.org/math/ algebra/multiplying-factoringexpression/factoring-specialproducts/e/factoring_difference_of_s quares_3 Example 1: Factoring Difference of Squares Factoring Difference of Squares 1 Example 2: Factoring Difference of Squares Factoring Difference of Squares 2 Factoring Difference of Squares 3 Tutorial Video 2 Factoring Polynomials by Grouping Factoring Quadratics with Two Variables Factoring Quadratic Expressions Examples: Factoring Simple Quadratics Factoring Quadratics 1 Factoring Quadratics 2 Solving Radical Equations Radical Equations http://www.khanacademy.org/math/ algebra/multiplying-factoringexpression/factoring-bygrouping/e/factoring_polynomials_by _grouping_1 http://www.khanacademy.org/math/ algebra/multiplying-factoringexpression/factoring-quadratics-intwovari/e/factoring_polynomials_with_t wo_variables https://www.khanacademy.org/math /algebra2/polynomial_and_rational/q uad_factoring/v/factoring-quadraticexpressions https://www.khanacademy.org/math /algebra2/polynomial_and_rational/q uad_factoring/v/factoringpolynomials-1 https://www.khanacademy.org/math /algebra2/polynomial_and_rational/q uad_factoring/e/factoring_polynomial s_1 https://www.khanacademy.org/math /algebra2/polynomial_and_rational/q uad_factoring/e/factoring_polynomial s_2 http://www.khanacademy.org/math/ algebra/exponentequations/radical_equations/v/solvin g-radical-equations http://www.khanacademy.org/math/ algebra/exponentequations/radical_equations/e/radical _equations https://www.khanacademy.org/math/algeb ra2/polynomial_and_rational/quad_factori ng/e/factoring_polynomials_by_grouping_1 Write expressions in equivalent forms to solve problems Topic Tutorial Video Factoring Quadratics 1 https://www.khanacademy.org/math/ algebra2/polynomial_and_rational/qua d_factoring/e/factoring_polynomials_1 Solving Quadratics by completing the square https://www.khanacademy.org/math/ algebra2/polynomial_and_rational/qua d_formula_tutorial/v/solvingquadratic-equations-by-completingthe-square https://www.khanacademy.org/math/ algebra2/polynomial_and_rational/qua d_formula_tutorial/e/completing_the_ square_1 https://www.khanacademy.org/math/ algebra2/polynomial_and_rational/qua d_formula_tutorial/e/completing_the_ square_2 https://www.khanacademy.org/math/ algebra2/polynomial_and_rational/qua d_factoring/v/example-1-solving-aquadratic-equation-by-factoring https://www.khanacademy.org/math/ algebra2/polynomial_and_rational/qua d_factoring/v/example-2-solving-aquadratic-equation-by-factoring Solving Quadratics by completing the square 1 Solving Quadratics by completing the square 2 Solving a Quadratic Equation by Factoring Example 2: Solving Quadratic Equation by Factoring Recognizing a perfect square quadratic Example 3: Solving Quadratic Equation by Factoring Dimensions from volume of box https://www.khanacademy.org/math/ algebra/quadratics/factoring_quadratic s/v/example-3-solving-a-quadraticequation-by-factoring Tutorial Video 2 Solving Quadratics by Factoring http://www.khanacademy.org/math/al gebra/quadratics/factoring_quadratics /e/solving_quadratics_by_factoring https://www.khanacademy.org/math/alge bra2/polynomial_and_rational/quad_facto ring/e/solving_quadratics_by_factoring Solving Quadratics by Factoring 2 http://www.khanacademy.org/math/al gebra/quadratics/factoring_quadratics /e/solving_quadratics_by_factoring_2 https://www.khanacademy.org/math/alge bra2/polynomial_and_rational/quad_facto ring/e/solving_quadratics_by_factoring_2 Arithmetic with Polynomials and Rational Functions Perform arithmetic operations on polynomials Topic Tutorial Video Tutorial Video 2 Addition and subtraction of polynomials https://www.khanacademy.org/math/al gebra/multiplying-factoringexpression/polynomial_basics/v/additio n-and-subtraction-of-polynomials https://www.khanacademy.org/math/al gebra/multiplying-factoringexpression/polynomial_basics/e/adding _and_subtracting_polynomials http://www.khanacademy.org/math/alg ebra/multiplying-factoringexpression/multiplyingbinomials/e/multiplying_expressions_0. 5 http://www.khanacademy.org/math/alg ebra/multiplying-factoringexpression/multiplyingbinomials/e/multiplying_expressions_1 http://www.khanacademy.org/math/alg ebra/multiplying-factoringexpression/multiplying_polynomials/v/ multiplying-polynomials http://www.khanacademy.org/math/alg ebra/multiplying-factoringexpression/multiplying_polynomials/v/ multiplying-polynomials-3 https://www.khanacademy.org/math/alg ebra2/polynomial_and_rational/polynomi al_tutorial/v/addition-and-subtraction-ofpolynomials https://www.khanacademy.org/math/alg ebra2/polynomial_and_rational/polynomi al_tutorial/e/adding_and_subtracting_pol ynomials Adding and subtracting Polynomials Multiplying Binomials 1 Multiplying Binomials 2 Multiplying polynomials example Polynomials example 2 https://www.khanacademy.org/math/alg ebra2/polynomial_and_rational/polynomi al_tutorial/v/multiplying-polynomials Multiplying polynomials example 3 Multiplying polynomials Polynomial division Polynomial divided by monomial Dividing Polynomials 1 Dividing polynomials with remainders http://www.khanacademy.org/math/alg ebra/multiplying-factoringexpression/multiplying_polynomials/v/ more-multiplying-polynomials http://www.khanacademy.org/math/alg ebra/multiplying-factoringexpression/multiplying_polynomials/e/ multiplying_polynomials http://www.khanacademy.org/math/alg ebra/multiplying-factoringexpression/dividing_polynomials/v/poly nomial-division http://www.khanacademy.org/math/alg ebra/multiplying-factoringexpression/dividing_polynomials/v/poly nomial-divided-by-monomial http://www.khanacademy.org/math/alg ebra/multiplying-factoringexpression/dividing_polynomials/v/divi ding-polynomials-1 http://www.khanacademy.org/math/alg ebra/multiplying-factoringexpression/dividing_polynomials/v/divi ding-polynomials-with-remainders https://www.khanacademy.org/math/alg ebra2/polynomial_and_rational/dividing_ polynomials/v/polynomial-division https://www.khanacademy.org/math/alg ebra2/polynomial_and_rational/dividing_ polynomials/v/polynomial-divided-bymonomial https://www.khanacademy.org/math/alg ebra2/polynomial_and_rational/dividing_ polynomials/v/dividing-polynomials-1 https://www.khanacademy.org/math/alg ebra2/polynomial_and_rational/dividing_ polynomials/v/dividing-polynomials-withremainders Rewrite rational expressions Topic Tutorial Video Simplifying rational expressions introduction Simplifying rational expressions 1 https://www.khanacademy.org/math/al gebra2/polynomial_and_rational/simpli fying-rational-expressions/v/simplifyingrational-expressions-introduction https://www.khanacademy.org/math/al gebra2/polynomial_and_rational/simpli fying-rational-expressions/v/simplifyingrational-expressions-1 Tutorial Video 2 Simplifying rational expressions 2 (V) Simplifying rational expressions 3 https://www.khanacademy.org/math/al gebra2/polynomial_and_rational/simpli fying-rational-expressions/v/simplifyingrational-expressions-2 https://www.khanacademy.org/math/al gebra2/polynomial_and_rational/simpli fying-rational-expressions/v/simplifyingrational-expressions-3 Creating Equations Create equations that describe numbers or relationships Topic Tutorial Video Representing a relationship with a simple equation https://www.khanacademy.org/math/al gebra/solving-linear-equations-andinequalities/why-ofalgebra/v/representing-a-relationshipwith-a-simple-equation Simple equations of the form ax=b https://www.khanacademy.org/math/al gebra/solving-linear-equations-andinequalities/equations_beginner/v/simp le-equations Simple equations of the form x/a=b https://www.khanacademy.org/math/al gebra/solving-linear-equations-andinequalities/equations_beginner/v/solvi ng-one-step-equations-2 Simple equations of the form x+a = b https://www.khanacademy.org/math/al gebra/solving-linear-equations-andinequalities/equations_beginner/v/solvi ng-one-step-equations Tutorial Video 2 One step equations with addition and subtraction https://www.khanacademy.org/math/al gebra/solving-linear-equations-andinequalities/equations_beginner/e/one _step_equations Solving a more complicated equation https://www.khanacademy.org/math/al gebra/solving-linear-equations-andinequalities/equations_beginner/v/equa tions-2 Example: twostep equations https://www.khanacademy.org/math/al gebra/solving-linear-equations-andinequalities/equations_beginner/v/twostep-equations Example: twostep equations with numerator x https://www.khanacademy.org/math/al gebra/solving-linear-equations-andinequalities/equations_beginner/v/solvi ng-equations-1 Two step equation https://www.khanacademy.org/math/al gebra/solving-linear-equations-andinequalities/equations_beginner/e/linea r_equations_2 Reasoning with Equations and Inequalities Understand solving equations as a process of reasoning and explain the reasoning Topic Tutorial Video Tutorial Video 2 Graphing and solving linear inequalities (Ex) https://www.khanacademy.org/math/al gebra/systems-of-eq-andineq/graphing-linearinequalities/e/graphing_inequalities_2 Graphing and solving systems of inequalities (Ex) Graphing linear inequalities in two variables (Ex) Graphing and solving systems of inequalities (Ex) https://www.khanacademy.org/math/al gebra/systems-of-eq-and-ineq/systemofinequalities/e/graphing_systems_of_ine qualities_2 https://www.khanacademy.org/math/al gebra/systems-of-eq-andineq/graphing-linearinequalities/e/graphing_inequalities https://www.khanacademy.org/math/al gebra2/systems_eq_ineq/systems_ineq ualities_precalc/e/graphing_systems_of _inequalities_2 https://www.khanacademy.org/math/alg ebra/systems-of-eq-and-ineq/system-ofinequalities/e/graphing_systems_of_ineq ualities_2 Solve equations and inequalities in one variable Topic Tutorial Video Compound inequalities http://www.khanacademy.org/math/alg ebra/linear_inequalities/compound_abs olute_value_inequali/v/compoundinequalities http://www.khanacademy.org/math/alg ebra/linear_inequalities/compound_abs olute_value_inequali/v/compundinequalities http://www.khanacademy.org/math/alg ebra/linear_inequalities/compound_abs olute_value_inequali/v/compundinequalities-2 http://www.khanacademy.org/math/alg ebra/linear_inequalities/compound_abs olute_value_inequali/v/compoundinequalities-3 http://www.khanacademy.org/math/alg ebra/linear_inequalities/compound_abs olute_value_inequali/v/compoundinequalities-4 Compound inequalities Compound inequalities 2 Compound inequalities 3 Compound inequalities 4 Tutorial Video 2 Compound inequalities Multi-step linear inequalities http://www.khanacademy.org/math/alg ebra/linear_inequalities/compound_abs olute_value_inequali/e/compound_ineq ualities http://www.khanacademy.org/math/alg ebra/linear_inequalities/inequalities/e/li near_inequalities Solve systems of equations Topic Tutorial Video Tutorial Video 2 Solving systems of two linear equations https://www.khanacademy.org/math/al gebra/systems-of-eq-andineq/analyzing_the_solutions_to_syste ms_of_equations/e/systems_of_equatio ns https://www.khanacademy.org/math/cc -eighth-grade-math/cc-8th-systemstopic/cc-8th-systemsoverview/e/systems_of_equations https://www.khanacademy.org/math/al gebra/systems-of-eq-andineq/analyzing_the_solutions_to_syste ms_of_equations/v/understandingsystems-of-equations-example-2 https://www.khanacademy.org/math/alg ebra2/systems_eq_ineq/systems_tutorial _precalc/e/systems_of_equations Solving systems of two linear equations Solving systems of two linear equations example Represent and solve equations and inequalities graphically Topic Tutorial Video Solving linear systems by graphing https://www.khanacademy.org/math/al gebra-basics/core-algebrasystems/core-algebra-systemstutorial/v/solving-linear-systems-bygraphing https://www.khanacademy.org/math/al gebra/systems-of-eq-andineq/introduction_to_systems_of_linear Checking solutions to systems of Tutorial Video equations example _equations/v/testing-a-solution-for-asystem-of-equations Graphing systems of equations https://www.khanacademy.org/math/cc -eighth-grade-math/cc-8th-systemstopic/cc-8th-systemsgraphically/v/graphings-systems-ofequations https://www.khanacademy.org/math/cc -eighth-grade-math/cc-8th-systemstopic/cc-8th-systemsgraphically/v/graphical-systemsapplication-problem https://www.khanacademy.org/math/al gebra/systems-of-eq-andineq/analyzing_the_solutions_to_syste ms_of_equations/v/solving-systems-bygraphing-2 https://www.khanacademy.org/math/cc -eighth-grade-math/cc-8th-systemstopic/cc-8th-systemsgraphically/v/solving-systems-bygraphing-3 http://www.khanacademy.org/math/alg ebra/systems-of-eq-and-ineq/systemsthrough-examples/v/solving-systemsgraphically https://www.khanacademy.org/math/al gebra/systems-of-eq-andineq/graphical_representation_of_syste ms_of_equations/v/solving-systemsgraphically https://www.khanacademy.org/math/al gebra/systems-of-eq-andineq/graphical_representation_of_syste ms_of_equations/e/graphing_systems_ of_equations Graphical systems application problem Analyzing solutions to linear systems graphically 1 Example 3: Graphically solving systems Solving Systems of equations graphically Solving Systems of equations graphically Solving systems of equations graphically https://www.khanacademy.org/math/alg ebra2/systems_eq_ineq/systems_tutorial _precalc/v/solving-systems-graphically https://www.khanacademy.org/math/alg ebra2/systems_eq_ineq/systems_tutorial _precalc/e/graphing_systems_of_equatio ns Data Analysis and Probability The HiSET exam measures student’s ability to analyze data and use probability to solve problems. The training videos provide students practice in dealing with data analysis and probability. Interpreting Functions Understand the concept of a function and use function notation Topic Tutorial Video Tutorial Video 2 What is a function Difference between equations and functions Testing if a relationship is a function Relations and functions Graphical relations and functions Recognize functions from tables https://www.khanacademy.org/math/c c-eighth-grade-math/cc-8th-linearequations-functions/8th-functions-andfunction-notation/v/what-is-a-function https://www.khanacademy.org/math/al gebra2/functions_and_graphs/piecewis e-functions-tutorial/v/what-is-afunction https://www.khanacademy.org/math/c c-eighth-grade-math/cc-8th-linearequations-functions/8th-functions-andfunction-notation/v/differencebetween-equations-and-functions https://www.khanacademy.org/math/c c-eighth-grade-math/cc-8th-linearequations-functions/cc-8th-functionintro/v/testing-if-a-relationship-is-afunction https://www.khanacademy.org/math/c c-eighth-grade-math/cc-8th-linearequations-functions/cc-8th-functionintro/v/relations-and-functions https://www.khanacademy.org/math/c c-eighth-grade-math/cc-8th-linearequations-functions/cc-8th-functionintro/v/graphical-relations-andfunctions https://www.khanacademy.org/math/c c-eighth-grade-math/cc-8th-linearequations-functions/cc-8th-functionintro/v/functional-relationships-1 https://www.khanacademy.org/math/alg ebra2/functions_and_graphs/functionintroduction/v/what-is-a-function https://www.khanacademy.org/math/alg ebra2/functions_and_graphs/functionintroduction/v/difference-betweenequations-and-functions https://www.khanacademy.org/math/alg ebra2/functions_and_graphs/recognizingfunctions-2/v/testing-if-a-relationship-isa-function https://www.khanacademy.org/math/alg ebra2/functions_and_graphs/functionintroduction/v/relations-and-functions https://www.khanacademy.org/math/alg ebra2/functions_and_graphs/recognizingfunctions-2/v/graphical-relations-andfunctions https://www.khanacademy.org/math/alg ebra/algebrafunctions/recognizing_functions/v/functio nal-relationships-1 Recognizing functions from verbal descriptions example 1 Recognizing functions from verbal descriptions example 2 Recognizing functions example 3 Recognizing functions example 4 Does a vertical line represent a function? Recognizing functions from tables Functions as Graphs https://www.khanacademy.org/math/al gebra2/functions_and_graphs/recognizi ng-functions-2/v/functionalrelationships-1 https://www.khanacademy.org/math/c c-eighth-grade-math/cc-8th-linearequations-functions/cc-8th-functionintro/v/recognizing-functions-example1 https://www.khanacademy.org/math/al gebra/algebrafunctions/recognizing_functions/v/reco gnizing-functions-example-1 https://www.khanacademy.org/math/c c-eighth-grade-math/cc-8th-linearequations-functions/cc-8th-functionintro/v/recognizing-functions-example5 https://www.khanacademy.org/math/c c-eighth-grade-math/cc-8th-linearequations-functions/cc-8th-functionintro/v/recognizing-functions-example3 https://www.khanacademy.org/math/c c-eighth-grade-math/cc-8th-linearequations-functions/cc-8th-functionintro/v/recognizing-functions-example4 https://www.khanacademy.org/math/c c-eighth-grade-math/cc-8th-linearequations-functions/cc-8th-functionintro/v/recognizing-functions-example2 https://www.khanacademy.org/math/c c-eighth-grade-math/cc-8th-linearequations-functions/cc-8th-functionintro/e/recognizing_functions https://www.khanacademy.org/math/c c-eighth-grade-math/cc-8th-linearequations-functions/cc-8th-functionintro/v/functions-as-graphs https://www.khanacademy.org/math/alg ebra2/functions_and_graphs/recognizingfunctions-2/v/recognizing-functionsexample-1 https://www.khanacademy.org/math/alg ebra2/functions_and_graphs/recognizingfunctions-2/v/recognizing-functionsexample-5 https://www.khanacademy.org/math/alg ebra2/functions_and_graphs/recognizingfunctions-2/v/recognizing-functionsexample-3 https://www.khanacademy.org/math/alg ebra2/functions_and_graphs/recognizingfunctions-2/v/recognizing-functionsexample-4 https://www.khanacademy.org/math/alg ebra2/functions_and_graphs/recognizingfunctions-2/v/recognizing-functionsexample-2 Recognizing Functions from Graphs 2 Domain of a function https://www.khanacademy.org/math/c c-eighth-grade-math/cc-8th-linearequations-functions/cc-8th-functionintro/e/recog-func-2 https://www.khanacademy.org/math/al gebra2/functions_and_graphs/domain_ range/v/domain-of-a-function Domain and range of a relation https://www.khanacademy.org/math/al gebra2/functions_and_graphs/domain_ range/v/domain-and-range-of-a-relation Domain and range from graph https://www.khanacademy.org/math/al gebra2/functions_and_graphs/domain_ range/e/domain_and_range_0.5 Domain and range 2 https://www.khanacademy.org/math/al gebra2/functions_and_graphs/domain_ range/v/domain-and-range-2 Domain and range of a function https://www.khanacademy.org/math/al gebra2/functions_and_graphs/domain_ range/v/domain-and-range-of-afunction https://www.khanacademy.org/math/al gebra2/functions_and_graphs/domain_ range/e/range_of_a_function Range of a function Evaluating functions given their formula Function notation in context example https://www.khanacademy.org/math/c c-eighth-grade-math/cc-8th-linearequations-functions/8th-functions-andfunction-notation/v/understandingfunction-notation-example-1 https://www.khanacademy.org/math/al gebra/two-var-linear-equations-andintro-to-functions/functions-andfunction-notation/v/understandingfunction-notation-example-1 https://www.khanacademy.org/math/c c-eighth-grade-math/cc-8th-linearequations-functions/8th-functions-and- https://www.khanacademy.org/math/alg ebra2/functions_and_graphs/recognizingfunctions-2/e/recog-func-2 https://www.khanacademy.org/math/alg ebra2/functions_and_graphs/functionintroduction/v/understanding-functionnotation-example-1 https://www.khanacademy.org/math/alg ebra/algebra-functions/functions-andfunction%20notation/v/understandingfunction-notation-example-3 function-notation/v/understandingfunction-notation-example-3 Evaluating functions given their graph Evaluating functions Evaluating function expressions https://www.khanacademy.org/math/al gebra2/functions_and_graphs/functionintroduction/v/understanding-functionnotation-example-3 https://www.khanacademy.org/math/c c-eighth-grade-math/cc-8th-linearequations-functions/8th-functions-andfunction-notation/v/understandingfunction-notation-example-2 https://www.khanacademy.org/math/al gebra/two-var-linear-equations-andintro-to-functions/functions-andfunction-notation/v/understandingfunction-notation-example-2 https://www.khanacademy.org/math/c c-eighth-grade-math/cc-8th-linearequations-functions/8th-functions-andfunction-notation/e/functions_1 https://www.khanacademy.org/math/al gebra2/functions_and_graphs/functionintroduction/e/functions_1 https://www.khanacademy.org/math/al gebra/algebra-functions/eval-functionexpressions/e/functions_2 https://www.khanacademy.org/math/al gebra2/functions_and_graphs/function _expressions/e/functions_2 https://www.khanacademy.org/math/alg ebra2/functions_and_graphs/functionintroduction/v/understanding-functionnotation-example-2 https://www.khanacademy.org/math/alg ebra/two-var-linear-equations-and-introto-functions/functions-and-functionnotation/e/functions_1 https://www.khanacademy.org/math/alg ebra/two-var-linear-equations-and-introto-functions/functions-and-functionnotation/e/functions_2 Analyze functions using different representations Topic Tutorial Video Tutorial Video 2 Comparing features of functions 2 Example 1 Comparing features of functions 2 Example 2 Comparing features of functions 2 Example 3 Comparing features of functions http://www.khanacademy.org/math/tri gonometry/functions_and_graphs/analy zing_functions/v/comparing-featuresof-functions-2-example-1 http://www.khanacademy.org/math/tri gonometry/functions_and_graphs/analy zing_functions/v/comparing-featuresof-functions-2-example-2 http://www.khanacademy.org/math/tri gonometry/functions_and_graphs/analy zing_functions/v/comparing-featuresof-functions-2-example-3 http://www.khanacademy.org/math/tri gonometry/functions_and_graphs/analy zing_functions/e/comparing-featuresof-functions-2 https://www.khanacademy.org/math/alg ebra2/functions_and_graphs/comparinginterpreting-functions/v/comparingfeatures-of-functions-2-example-1 https://www.khanacademy.org/math/alg ebra2/functions_and_graphs/comparinginterpreting-functions/v/comparingfeatures-of-functions-2-example-2 https://www.khanacademy.org/math/alg ebra2/functions_and_graphs/comparinginterpreting-functions/v/comparingfeatures-of-functions-2-example-3 https://www.khanacademy.org/math/alg ebra2/functions_and_graphs/comparinginterpreting-functions/e/comparingfeatures-of-functions-2 Building Functions Build a Function that models a relationship between two quantities Topic Tutorial Video Tutorial Video 2 Converting an explicit formula of a geometric sequence to a recursive formula Modeling with sequences http://www.khanacademy.org/math/trigo nometry/seq_induction/recursivefunctions/v/converting-an-explicitfunction-to-a-recursive-function https://www.khanacademy.org/math/a lgebra/sequences/geometric_sequence s/v/converting-an-explicit-function-toa-recursive-function http://www.khanacademy.org/math/trigo nometry/seq_induction/recursivefunctions/e/recursive_explicit https://www.khanacademy.org/math/a lgebra/sequences/modeling_with_sequ ences/e/recursive_explicit Linear, Quadratic, and Exponential Models Construct and compare linear, quadratic, and exponential models and solve problems Topic Tutorial Video Tutorial Video 2 Comparing linear functions 1 https://www.khanacademy.org/math/cceighth-grade-math/cc-8th-linear-equationsfunctions/8th-functions-and-functionnotation/v/comparing-features-offunctions-1 Comparing linear functions 2 https://www.khanacademy.org/math/cceighth-grade-math/cc-8th-linear-equationsfunctions/8th-functions-and-functionnotation/v/comparing-features-offunctions-3 Comparing linear functions 3 https://www.khanacademy.org/math/cceighth-grade-math/cc-8th-linear-equationsfunctions/8th-functions-and-functionnotation/v/comparing-features-offunctions-5 Comparing linear functions https://www.khanacademy.org/math/cceighth-grade-math/cc-8th-linear-equationsfunctions/8th-functions-and-functionnotation/v/comparing-features-offunctions-5 Mathematics: Geometry The Mathematics test assesses mathematical knowledge and competencies related to Geometry. The training videos can improve student’s fundamental skills needed to be successful on the HiSET exam. Congruence Experiment with transformations in the plane Topic Tutorial Video Tutorial Video 2 Testing congruence by transformations example https://www.khanacademy.org/math/basi c-geo/transformations-congruencesimilarity-geo/basic-geo-congruencesimilarity/v/testing-congruence-bytransformations-example https://www.khanacademy.org/math/g eometry/congruenttriangles/transformationscongruence/v/testing-congruence-bytransformations-example Another congruence by transformations example https://www.khanacademy.org/math/basi c-geo/transformations-congruencesimilarity-geo/basic-geo-congruencesimilarity/v/another-congruence-bytransformation-example https://www.khanacademy.org/math/g eometry/congruenttriangles/transformationscongruence/v/another-congruence-bytransformation-example Example of rigid transformation and congruence https://www.khanacademy.org/math/geo metry/congruenttriangles/transformationscongruence/v/example-of-rigidtransformation-and-congruence Another example of rigid transformations for congruence https://www.khanacademy.org/math/geo metry/congruenttriangles/transformationscongruence/v/another-example-of-rigidtransformations-for-congruence Defining congruence through rigid transformations https://www.khanacademy.org/math/geo metry/congruenttriangles/transformationscongruence/e/defining-congruencethrough-rigid-transformations Exploring rigid transformations and congruence https://www.khanacademy.org/math/basi c-geo/transformations-congruencesimilarity-geo/basic-geo-congruencesimilarity/e/exploring-rigidtransformations-and-congruence Similarity, Right Triangles, and Trigonometry Prove Theorems involving similarity Topic Tutorial Video Tutorial Video 2 Testing similarity through transformations https://www.khanacademy.org/math/basi c-geo/transformations-congruencesimilarity-geo/basic-geo-congruencesimilarity/v/testing-similarity-throughtransformations https://www.khanacademy.org/math/g eometry/similarity/similarity-andtransformations/v/testing-similaritythrough-transformations Exploring anglepreserving transformations and similarity https://www.khanacademy.org/math/basi c-geo/transformations-congruencesimilarity-geo/basic-geo-congruencesimilarity/e/exploring-angle-preservingtransformations-and-similarity https://www.khanacademy.org/math/g eometry/similarity/similarity-andtransformations/e/exploring-anglepreserving-transformations-andsimilarity Defining similarity through anglepreserving transformations https://www.khanacademy.org/math/geo metry/similarity/similarity-andtransformations/e/defining-similaritythrough-angle-preserving-transformations Similarity postulates https://www.khanacademy.org/math/geo metry/similarity/triangle_similarlity/v/simi larity-postulates Pythagorean theorem proof using similarity https://www.khanacademy.org/math/basi c-geo/basic-geo-pythagorean-topic/basicgeo-pythagorean-proofs/v/pythagoreantheorem-proof-using-similarity https://www.khanacademy.org/math/g eometry/right_triangles_topic/pythago rean_proofs/v/pythagorean-theoremproof-using-similarity Geometric Measurement and Dimension Explain volume formulas and use them to solve problems Topic Tutorial Video Tutorial Video 2 Cylinder volume and surface area https://www.khanacademy.org/math/ba sic-geo/basic-geo-volume-surfacearea/basic-geo-volumes/v/cylindervolume-and-surface-area https://www.khanacademy.org/math/ge ometry/basicgeometry/volume_tutorial/v/cylindervolume-and-surface-area Volume of a cone https://www.khanacademy.org/math/ba sic-geo/basic-geo-volume-surfacearea/basic-geo-volumes/v/volume-coneexample https://www.khanacademy.org/math/ge ometry/basicgeometry/volume_tutorial/v/volumecone-example Volume of a sphere https://www.khanacademy.org/math/ba sic-geo/basic-geo-volume-surfacearea/basic-geo-volumes/v/volume-of-asphere https://www.khanacademy.org/math/ge ometry/basicgeometry/volume_tutorial/v/volume-ofa-sphere Volume word problems with cones, cylinders, and spheres https://www.khanacademy.org/math/ba sic-geo/basic-geo-volume-surfacearea/basic-geo-volumes/e/volume-wordproblems-with-cones--cylinders--andspheres https://www.khanacademy.org/math/ge ometry/basicgeometry/volume_tutorial/e/volumeword-problems-with-cones--cylinders-and-spheres Volume of a rectangular prism: fractional dimensions https://www.khanacademy.org/math/ba sic-geo/basic-geo-volume-surfacearea/basic-geo-volume/v/volume-of-arectangular-prism-with-fractionaldimensions Volume with fractions https://www.khanacademy.org/math/ba sic-geo/basic-geo-volume-surfacearea/basic-geovolume/e/volume_with_fractions Volume of a rectangular prism: fractional cubes https://www.khanacademy.org/math/ba sic-geo/basic-geo-volume-surfacearea/basic-geo-volume/v/volume-of-arectangular-prism-with-fractional-cubes Volume with unit cubes 2 https://www.khanacademy.org/math/ba sic-geo/basic-geo-volume-surfacearea/basic-geovolume/e/volume_with_unit_cubes_2 Volume of a rectangular prism: word problem https://www.khanacademy.org/math/ba sic-geo/basic-geo-volume-surfacearea/basic-geo-volume/v/marbles-intank-volume Find the volume of a triangular prism and cube https://www.khanacademy.org/math/ba sic-geo/basic-geo-volume-surfacearea/basic-geo-volume/v/solidgeometry-volume Volume word problems with fractions and decimals https://www.khanacademy.org/math/ba sic-geo/basic-geo-volume-surfacearea/basic-geo-volume/e/volume-wordproblems-with-fractions https://www.khanacademy.org/math/ge ometry/basicgeometry/volume_tutorial/v/solidgeometry-volume Modeling with Geometry Apply geometric concepts in modeling situations Topic Tutorial Video Modeling with linear equations example 1 https://www.khanacademy.org/math/cceighth-grade-math/cc-8th-linearequations-functions/8th-linear-functionsmodeling/v/exploring-linear-relationships Tutorial 2 Modeling with linear equations example 2 https://www.khanacademy.org/math/cceighth-grade-math/cc-8th-linearequations-functions/8th-linear-functionsmodeling/v/word-problem-solving-4 Copyright (C) 2015 by Educational Testing Service. 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