## Khan Academy CCSS Lesson Links

Standard APR.1

Common Core Area - Arithmetic with Polynomials and Rational Expressions

Skill - Subtract polynomials (intro) - Example: Evaluate (4x²-3) - (3x³-3x+2).

https://www.khanacademy.org/e/subtract-polynomials

Standard APR.1

Common Core Area - Arithmetic with Polynomials and Rational Expressions

Skill - Multiply monomials by polynomials: area model - Use area to understand how to multiply monomials by polynomials.

https://www.khanacademy.org/e/multiply-monomials-by-polynomials-intuition

Standard APR.1

Common Core Area - Arithmetic with Polynomials and Rational Expressions

Skill - Add & subtract polynomials - Example: Subtract -2x²+4x-1 from 6x²+3x-9.

https://www.khanacademy.org/e/add---subtract-polynomials-challenge

Standard APR.1

Common Core Area - Arithmetic with Polynomials and Rational Expressions

Skill - Multiply monomials by polynomials - Use the distributive property to express the product of a monomial and a polynomial as a single polynomial.

https://www.khanacademy.org/e/finding-the-product-of-a-monomial-and-a-polynomial

Standard APR.1

Common Core Area - Arithmetic with Polynomials and Rational Expressions

Skill - Multiply monomials - More challenging multiplying monomial problems like find the area or find missing values to make an equation true.

https://www.khanacademy.org/e/multiply-monomials-challenge

Standard APR.1

Common Core Area - Arithmetic with Polynomials and Rational Expressions

Skill - Multiply binomials by polynomials - Use the distributive property to express the product of a binomial and a polynomial as a single polynomial.

https://www.khanacademy.org/e/multiplying_polynomials

Standard APR.1

Common Core Area - Arithmetic with Polynomials and Rational Expressions

Skill - Add polynomials (intro) - Example: Add (2x²-3) and (7x³-4x+1).

https://www.khanacademy.org/e/adding_and_subtracting_polynomials

Standard APR.1

Common Core Area - Arithmetic with Polynomials and Rational Expressions

Skill - Multiply binomials - Multiply binomials of the form (ax + b).

https://www.khanacademy.org/e/multiply-binomials-coefficient

Standard APR.1

Common Core Area - Arithmetic with Polynomials and Rational Expressions

Skill - Add & subtract polynomials: two variables - Example: Subtract aâ´+4a²b²-2bâ´ from -3aâ´+5a^2b²+2bâ´.

https://www.khanacademy.org/e/add---subtract-polynomials--two-variables-challenge

Standard APR.1

Common Core Area - Arithmetic with Polynomials and Rational Expressions

Skill - Special products of binomials intro - Find perfect squares of the forms (x+a)² and (x-a)², and differences of squares of the form (x+a)(x-a).

https://www.khanacademy.org/e/multiplying_expressions_1

Standard APR.1

Common Core Area - Arithmetic with Polynomials and Rational Expressions

Skill - Multiply binomials intro - Use the distributive property to express the product of two binomials as a single polynomial.

https://www.khanacademy.org/e/multiplying_expressions_0.5

Standard APR.1

Common Core Area - Arithmetic with Polynomials and Rational Expressions

Skill - Multiply monomials by polynomials challenge - Example: Find the values of the variables to make the following equation true -11(y²-cy+2) = dy²+33y-f.

https://www.khanacademy.org/e/multiply-monomials-by-polynomials-challenge

Standard APR.1

Common Core Area - Arithmetic with Polynomials and Rational Expressions

Skill - Add & subtract polynomials: two variables (intro) - Example: Subtract (x²+2xy-y) and (3x+5xy+2y²).

https://www.khanacademy.org/e/adding-and-subtracting-polynomials-2

Standard APR.1

Common Core Area - Arithmetic with Polynomials and Rational Expressions

Skill - Add & subtract polynomials: find the error - Choose which step an error was made in adding or subtracting polynomials.

https://www.khanacademy.org/e/add---subtract-polynomials--find-the-error

Standard APR.1

Common Core Area - Arithmetic with Polynomials and Rational Expressions

Skill - Special products of binomials - Find special products (perfect squares and difference of squares) of "advanced" binomials: binomials with leading coefficients other than 1; binomials with higher degrees; and binomials with two variables.

https://www.khanacademy.org/e/finding-special-products

Standard APR.1

Common Core Area - Arithmetic with Polynomials and Rational Expressions

Skill - Multiply monomials intro - Express the product of two monomial expressions as a single monomial

https://www.khanacademy.org/e/finding-the-product-of-two-monomials

Standard APR.2

Common Core Area - Arithmetic with Polynomials and Rational Expressions

Skill - Use the Polynomial Remainder Theorem - Use the PRT (Polynomial Remainder Theorem) to determine the factors of polynomials and their remainders when divided by linear expressions.

https://www.khanacademy.org/e/remainder-theorem-of-polynomials

Standard APR.3

Common Core Area - Arithmetic with Polynomials and Rational Expressions

Skill - Find zeros of polynomials - Use various methods in order to find all the zeros of polynomial expressions or functions.

https://www.khanacademy.org/e/find-the-zeros-of-polynomials

Standard APR.3

Common Core Area - Arithmetic with Polynomials and Rational Expressions

Skill - Zeros of polynomials & their graphs - Select the graph that best suits a polynomial equation by considering the zeros of the polynomial.

https://www.khanacademy.org/e/using-zeros-to-graph-polynomials

Standard APR.3

Common Core Area - Arithmetic with Polynomials and Rational Expressions

Skill - Positive & negative intervals of polynomials - Given a polynomial, determine the intervals in which it is positive or negative.

https://www.khanacademy.org/e/positive-and-negative-intervals-of-polynomials

Standard APR.4

Common Core Area - Arithmetic with Polynomials and Rational Expressions

Skill - Prove polynomial identities - Determine whether given polynomial identities are true, and whether given proofs of such identities are valid.

https://www.khanacademy.org/e/polynomial-identities

Standard APR.5

Common Core Area - Arithmetic with Polynomials and Rational Expressions

Skill - Expand binomials - Use the binomial theorem in order to expand integer powers of binomial expressions.

https://www.khanacademy.org/e/binomial-theorem

Standard APR.6

Common Core Area - Arithmetic with Polynomials and Rational Expressions

Skill - Simplify rational expressions (advanced) - Factor the numerator and the denominator of a rational expression using advanced methods, and cancel out common terms.

https://www.khanacademy.org/e/simplifying_rational_expressions_3

Standard APR.6

Common Core Area - Arithmetic with Polynomials and Rational Expressions

Skill - Divide polynomials with remainders: monomial divisors - Rewrite expressions of the form a(x)/b(x), where a is a polynomial b is a monomial, in the form q(x)+r(x)/b(x), where q and r are polynomials and the degree of r is less than the degree of b.

https://www.khanacademy.org/e/divide-polynomials-by-monomials

Standard APR.6

Common Core Area - Arithmetic with Polynomials and Rational Expressions

Skill - Divide polynomials with remainders - Rewrite expressions of the form a(x)/b(x), where a and b are polynomials, in the form q(x)+r(x)/b(x), where q and r are polynomials and the degree of r is less than the degree of b.

https://www.khanacademy.org/e/dividing-polynomials-with-remainders

Standard APR.6

Common Core Area - Arithmetic with Polynomials and Rational Expressions

Skill - Divide polynomials with remainders: binomial divisors - Rewrite expressions of the form a(x)/b(x), where a is a polynomial b is a linear binomial, in the form q(x)+r(x)/b(x), where q and r are polynomials and the degree of r is less than the degree of b.

https://www.khanacademy.org/e/divide-polynomials-by-binomials

Standard APR.6

Common Core Area - Arithmetic with Polynomials and Rational Expressions

Skill - Simplify rational expressions: common monomial factors - Factor the numerator and the denominator of a rational expression and cancel out common monomial factors.

https://www.khanacademy.org/e/simplifying_rational_expressions_1

Standard APR.6

Common Core Area - Arithmetic with Polynomials and Rational Expressions

Skill - Simplify rational expressions: common binomial factors - Factor the numerator and the denominator of a rational expression and cancel out common binomial terms.

https://www.khanacademy.org/e/simplifying_rational_expressions_2

Standard APR.7

Common Core Area - Arithmetic with Polynomials and Rational Expressions

Skill - Add & subtract rational expressions: unlike denominators - Add and subtract rational expressions with relatively prime denominators by manipulating them to have the same denominators.

https://www.khanacademy.org/e/adding_and_subtracting_rational_expressions_2

Standard APR.7

Common Core Area - Arithmetic with Polynomials and Rational Expressions

Skill - Multiply & divide rational expressions - Example: Multiply and simplify (a²-4)/(a²-1) X (a+1)/(a+2).

https://www.khanacademy.org/e/multiplying_and_dividing_rational_expressions_2

Standard APR.7

Common Core Area - Arithmetic with Polynomials and Rational Expressions

Skill - Add & subtract rational expressions - Example: Subtract and simplify (a-2)/(a+2) - (a-3)/(a²+4a+4).

https://www.khanacademy.org/e/adding_and_subtracting_rational_expressions_5

Standard APR.7

Common Core Area - Arithmetic with Polynomials and Rational Expressions

Skill - Nested fractions - Simplify rational expressions that contain rational expressions within their numerators or denominators.

https://www.khanacademy.org/e/nested-fractions

Standard APR.7

Common Core Area - Arithmetic with Polynomials and Rational Expressions

Skill - Multiply & divide rational expressions (advanced) - Example: Multiply and simplify (3x²y)/(2ab) X (14a²b)/(18xy²).

https://www.khanacademy.org/e/multiplying_and_dividing_rational_expressions_3

Standard APR.7

Common Core Area - Arithmetic with Polynomials and Rational Expressions

Skill - Add & subtract rational expressions: factored denominators - Example: Add and simplify x/(2x+1)(x-7) + 2x²/(2x-3)(x-7).

https://www.khanacademy.org/e/adding_and_subtracting_rational_expressions_3

Standard APR.7

Common Core Area - Arithmetic with Polynomials and Rational Expressions

Skill - Add & subtract rational expressions: like denominators - Example: Add and simplify 6/(2x²-7) + (-3x-8)/(2x²-7).

https://www.khanacademy.org/e/adding_and_subtracting_rational_expressions

Standard APR.7

Common Core Area - Arithmetic with Polynomials and Rational Expressions

Skill - Multiply & divide rational expressions (basic) - Example: Multiply and simplify (6x³/5)*(2/3x).

https://www.khanacademy.org/e/multiplying_and_dividing_rational_expressions_1

Standard CED.1

Common Core Area - Creating Equations

Skill - Equations & inequalities word problems - Construct an equation or an inequality that model a given context. Modeling expressions can be quadratic, rational, or exponential.

https://www.khanacademy.org/e/modeling-with-one-variable-equations-and-inequalities

Standard CED.1

Common Core Area - Creating Equations

Skill - Multiple units word problems - Solve word problems that contain multiple quantities that are measured in different units.

https://www.khanacademy.org/e/units

Standard CED.2

Common Core Area - Creating Equations

Skill - Systems of equations word problems - Solve word problems by modeling them into a system of equations and solving it.

https://www.khanacademy.org/e/understanding-systems-of-equations-word-problems

Standard CED.2

Common Core Area - Creating Equations

Skill - Graphing linear functions word problems - Graph the line that represents a real-world relationship that is given verbally.

https://www.khanacademy.org/e/graphing-linear-functions-word-problems

Standard CED.2

Common Core Area - Creating Equations

Skill - Age word problems - Solve age word problems with a system of equations.

https://www.khanacademy.org/e/age_word_problems

Standard CED.2

Common Core Area - Creating Equations

Skill - Linear models word problems - Solve general word problems about real-world relationships that can be modeled by linear equations or functions.

https://www.khanacademy.org/e/constructing-and-interpreting-linear-functions

Standard CED.2

Common Core Area - Creating Equations

Skill - Construct exponential models - Given a verbal description of the rate of change of a real world situation, find the exponential function that models it.

https://www.khanacademy.org/e/construct-exponential-models-according-to-rate-of-change

Standard CED.2

Common Core Area - Creating Equations

Skill - Systems of equations word problems capstone - Solve word problems that involve systems of equations, where there can either be a single solution, no solution, or infinite solutions.

https://www.khanacademy.org/e/systems-of-equations-word-problems-capstone

Standard CED.2

Common Core Area - Creating Equations

Skill - Modeling with sinusoidal functions - Given the description of a real-world relationship, find the sinusoidal function that models it.

https://www.khanacademy.org/e/modeling-with-periodic-functions

Standard CED.2

Common Core Area - Creating Equations

Skill - Writing linear functions word problems - Find a linear function that represents a real-world relationship that is given verbally.

https://www.khanacademy.org/e/constructing-linear-functions-word-problems

Standard CED.3

Common Core Area - Creating Equations

Skill - Solutions of systems of inequalities - Check whether an ordered pair is a solution of a system of two-variable linear inequalities.

https://www.khanacademy.org/e/checking-solutions-to-systems-of-inequalities

Standard CED.3

Common Core Area - Creating Equations

Skill - Solutions of inequalities: graphical - Given the graph of a two-variable linear inequality, check whether a given pair of values is a solution of the inequality.

https://www.khanacademy.org/e/graphically-check-solutions-to-inequalities

Standard CED.3

Common Core Area - Creating Equations

Skill - Systems of equations word problems capstone - Solve word problems that involve systems of equations, where there can either be a single solution, no solution, or infinite solutions.

https://www.khanacademy.org/e/systems-of-equations-word-problems-capstone

Standard CED.3

Common Core Area - Creating Equations

Skill - Systems of inequalities word problems - Solve word problems that involve systems of linear inequalities.

https://www.khanacademy.org/e/modeling-systems-of-linear-inequalities

Standard CED.3

Common Core Area - Creating Equations

Skill - Constraint solutions of two-variable inequalities - Find the range of values of one variable that corresponds to a given value of the other variable in a linear inequality.

https://www.khanacademy.org/e/graphing_inequalities

Standard CED.3

Common Core Area - Creating Equations

Skill - Solutions of inequalities: algebraic - Given a two-variable linear inequality, check whether a given pair of values is a solution of the inequality.

https://www.khanacademy.org/e/checking-solutions-to-two-var-inequalities

Standard CED.3

Common Core Area - Creating Equations

Skill - Two-variable inequalities word problems - Solve word problems that involve linear inequalities in two variables.

https://www.khanacademy.org/e/modeling-constraints

Standard CED.3

Common Core Area - Creating Equations

Skill - Constraint solutions of systems of inequalities - Find the range of values of one variable that corresponds to a given value of the other variable in a system of two-variable linear inequalities.

https://www.khanacademy.org/e/graphing_systems_of_inequalities

Standard CED.3

Common Core Area - Creating Equations

Skill - Systems of equations word problems - Solve word problems by modeling them into a system of equations and solving it.

https://www.khanacademy.org/e/understanding-systems-of-equations-word-problems

Standard CED.3

Common Core Area - Creating Equations

Skill - Age word problems - Solve age word problems with a system of equations.

https://www.khanacademy.org/e/age_word_problems

Standard CED.4

Common Core Area - Creating Equations

Skill - Manipulate formulas - Solve multi-variable formulas for a specific variable in order to solve some word problems.

https://www.khanacademy.org/e/manipulating-formulas

Standard REI.1

Common Core Area - Reasoning with Equations and Inequalities

Skill - Coming Soon -

Standard REI.2

Common Core Area - Reasoning with Equations and Inequalities

Skill - Solve square-root equations - Solve square-root equations by first arranging them and then taking the square of both sides.

https://www.khanacademy.org/e/solve-square-root-equations-advanced

Standard REI.2

Common Core Area - Reasoning with Equations and Inequalities

Skill - Extraneous solutions of radical equations - Practice some problems that involve thinking about the conditions for obtaining extraneous solutions while solving radical equations.

https://www.khanacademy.org/e/extraneous-solutions-to-radical-equations

Standard REI.2

Common Core Area - Reasoning with Equations and Inequalities

Skill - Equations with one rational expression - Solve equations that have one rational expression whose numerator and denominator are linear expressions.

https://www.khanacademy.org/e/linear_equations_4

Standard REI.2

Common Core Area - Reasoning with Equations and Inequalities

Skill - Solve square-root equations (basic) - Solve square-root equations by taking the square of both sides.

https://www.khanacademy.org/e/solve-square-root-equations-basic

Standard REI.2

Common Core Area - Reasoning with Equations and Inequalities

Skill - Equations with two rational expressions - Solve advanced rational equations with multiple expressions.

https://www.khanacademy.org/e/rational-equations-3

Standard REI.2

Common Core Area - Reasoning with Equations and Inequalities

Skill - Equations with one rational expression (advanced) - Solve equations that have one rational expression whose numerator and denominator are polynomial expressions.

https://www.khanacademy.org/e/solving_rational_equations_2

Standard REI.3

Common Core Area - Reasoning with Equations and Inequalities

Skill - Compound inequalities - Solve compound linear inequalities. For example, solve 5z+7<27 OR -3zâ‰¤18.

https://www.khanacademy.org/e/compound_inequalities

Standard REI.3

Common Core Area - Reasoning with Equations and Inequalities

Skill - Linear equations with unknown coefficients - Solve a linear equation where the coefficients are represented by letters.

https://www.khanacademy.org/e/solving_for_a_variable

Standard REI.3

Common Core Area - Reasoning with Equations and Inequalities

Skill - Multi-step linear inequalities - Solve linear inequalities that take multiple steps to solve.

https://www.khanacademy.org/e/linear_inequalities

Standard REI.4

Common Core Area - Reasoning with Equations and Inequalities

Skill - Quadratic word problems (standard form) - Solve real-world word problems that involve quadratic models. In this exercise, that models are given in standard form.

https://www.khanacademy.org/e/key-features-quadratics

Standard REI.4

Common Core Area - Reasoning with Equations and Inequalities

Skill - Solve quadratic equations: complex solutions - Solve quadratic equations using the quadratic formula. Some of the equations have real solutions while others have complex solutions.

https://www.khanacademy.org/e/quadratic-formula-with-complex-solutions

Standard REI.4

Common Core Area - Reasoning with Equations and Inequalities

Skill - Quadratics by taking square roots - Solve quadratic equations of the form (x+a)²-b=0. These can be solved using square roots. For example, solve (x-5)²-4=0.

https://www.khanacademy.org/e/solving_quadratics_by_taking_the_square_root

Standard REI.4

Common Core Area - Reasoning with Equations and Inequalities

Skill - Number of solutions of quadratic equations - Analyze quadratic equations in order to determine how many different real number solutions they have.

https://www.khanacademy.org/e/determine-the-number-of-solutions-of-a-quadratic-equation

Standard REI.4

Common Core Area - Reasoning with Equations and Inequalities

Skill - Completing the square (intro) - Practice the method of completing the square with quadratic expressions.

https://www.khanacademy.org/e/completing_the_square_in_quadratic_expressions

Standard REI.4

Common Core Area - Reasoning with Equations and Inequalities

Skill - Quadratics by taking square roots: strategy - Analyze the process of solving a quadratic equation by taking the square root.

https://www.khanacademy.org/e/understanding-the-equation-solving-process

Standard REI.4

Common Core Area - Reasoning with Equations and Inequalities

Skill - Quadratics by factoring - Solve quadratic equations of the form ax^2+bx+c=0 that can be rewritten according to their linear factors.

https://www.khanacademy.org/e/solving_quadratics_by_factoring_2

Standard REI.4

Common Core Area - Reasoning with Equations and Inequalities

Skill - Quadratics by factoring (intro) - Solve quadratic equations of the form x^2+bx+c=0 that can be rewritten according to their linear factors.

https://www.khanacademy.org/e/solving_quadratics_by_factoring

Standard REI.4

Common Core Area - Reasoning with Equations and Inequalities

Skill - Completing the square (intermediate) - Solve quadratic equations of the form x^2+bx+c by completing the square.

https://www.khanacademy.org/e/completing_the_square_1

Standard REI.4

Common Core Area - Reasoning with Equations and Inequalities

Skill - Completing the square - Solve quadratic equations of the form ax^2+bx+c by completing the square.

https://www.khanacademy.org/e/completing_the_square_2

Standard REI.4

Common Core Area - Reasoning with Equations and Inequalities

Skill - Quadratic formula - Solve quadratic equations using the quadratic formula. For example, solve -9x+10x²+8=14.

https://www.khanacademy.org/e/quadratic_equation

Standard REI.4

Common Core Area - Reasoning with Equations and Inequalities

Skill - Solve equations using structure - Solve advanced equations by strategically using quadratic factorization methods.

https://www.khanacademy.org/e/solving-quadratics-by-using-structure

Standard REI.4

Common Core Area - Reasoning with Equations and Inequalities

Skill - Quadratic formula - Solve quadratic equations using the quadratic formula. For example, solve -9x+10x²+8=14.

https://www.khanacademy.org/e/quadratic_equation

Standard REI.4

Common Core Area - Reasoning with Equations and Inequalities

Skill - Quadratic word problems (standard form) - Solve real-world word problems that involve quadratic models. In this exercise, that models are given in standard form.

https://www.khanacademy.org/e/key-features-quadratics

Standard REI.4

Common Core Area - Reasoning with Equations and Inequalities

Skill - Solve quadratic equations: complex solutions - Solve quadratic equations using the quadratic formula. Some of the equations have real solutions while others have complex solutions.

https://www.khanacademy.org/e/quadratic-formula-with-complex-solutions

Standard REI.4

Common Core Area - Reasoning with Equations and Inequalities

Skill - Quadratics by taking square roots - Solve quadratic equations of the form (x+a)²-b=0. These can be solved using square roots. For example, solve (x-5)²-4=0.

https://www.khanacademy.org/e/solving_quadratics_by_taking_the_square_root

Standard REI.4

Common Core Area - Reasoning with Equations and Inequalities

Skill - Number of solutions of quadratic equations - Analyze quadratic equations in order to determine how many different real number solutions they have.

https://www.khanacademy.org/e/determine-the-number-of-solutions-of-a-quadratic-equation

Standard REI.4

Common Core Area - Reasoning with Equations and Inequalities

Skill - Completing the square (intro) - Practice the method of completing the square with quadratic expressions.

https://www.khanacademy.org/e/completing_the_square_in_quadratic_expressions

Standard REI.4

Common Core Area - Reasoning with Equations and Inequalities

Skill - Quadratics by taking square roots: strategy - Analyze the process of solving a quadratic equation by taking the square root.

https://www.khanacademy.org/e/understanding-the-equation-solving-process

Standard REI.4

Common Core Area - Reasoning with Equations and Inequalities

Skill - Quadratics by factoring - Solve quadratic equations of the form ax^2+bx+c=0 that can be rewritten according to their linear factors.

https://www.khanacademy.org/e/solving_quadratics_by_factoring_2

Standard REI.4

Common Core Area - Reasoning with Equations and Inequalities

Skill - Quadratics by factoring (intro) - Solve quadratic equations of the form x^2+bx+c=0 that can be rewritten according to their linear factors.

https://www.khanacademy.org/e/solving_quadratics_by_factoring

Standard REI.4

Common Core Area - Reasoning with Equations and Inequalities

Skill - Completing the square (intermediate) - Solve quadratic equations of the form x^2+bx+c by completing the square.

https://www.khanacademy.org/e/completing_the_square_1

Standard REI.4

Common Core Area - Reasoning with Equations and Inequalities

Skill - Completing the square - Solve quadratic equations of the form ax^2+bx+c by completing the square.

https://www.khanacademy.org/e/completing_the_square_2

Standard REI.4

Common Core Area - Reasoning with Equations and Inequalities

Skill - Quadratic formula - Solve quadratic equations using the quadratic formula. For example, solve -9x+10x²+8=14.

https://www.khanacademy.org/e/quadratic_equation

Standard REI.4

Common Core Area - Reasoning with Equations and Inequalities

Skill - Quadratic word problems (standard form) - Solve real-world word problems that involve quadratic models. In this exercise, that models are given in standard form.

https://www.khanacademy.org/e/key-features-quadratics

Standard REI.4

Common Core Area - Reasoning with Equations and Inequalities

Skill - Solve equations using structure - Solve advanced equations by strategically using quadratic factorization methods.

https://www.khanacademy.org/e/solving-quadratics-by-using-structure

Standard REI.4

Common Core Area - Reasoning with Equations and Inequalities

Skill - Completing the square - Solve quadratic equations of the form ax^2+bx+c by completing the square.

https://www.khanacademy.org/e/completing_the_square_2

Standard REI.4

Common Core Area - Reasoning with Equations and Inequalities

Skill - Completing the square (intermediate) - Solve quadratic equations of the form x^2+bx+c by completing the square.

https://www.khanacademy.org/e/completing_the_square_1

Standard REI.4

Common Core Area - Reasoning with Equations and Inequalities

Skill - Quadratics by factoring (intro) - Solve quadratic equations of the form x^2+bx+c=0 that can be rewritten according to their linear factors.

https://www.khanacademy.org/e/solving_quadratics_by_factoring

Standard REI.4

Common Core Area - Reasoning with Equations and Inequalities

Skill - Quadratics by factoring - Solve quadratic equations of the form ax^2+bx+c=0 that can be rewritten according to their linear factors.

https://www.khanacademy.org/e/solving_quadratics_by_factoring_2

Standard REI.4

Common Core Area - Reasoning with Equations and Inequalities

Skill - Quadratics by taking square roots: strategy - Analyze the process of solving a quadratic equation by taking the square root.

https://www.khanacademy.org/e/understanding-the-equation-solving-process

Standard REI.4

Common Core Area - Reasoning with Equations and Inequalities

Skill - Completing the square (intro) - Practice the method of completing the square with quadratic expressions.

https://www.khanacademy.org/e/completing_the_square_in_quadratic_expressions

Standard REI.4

Common Core Area - Reasoning with Equations and Inequalities

Skill - Number of solutions of quadratic equations - Analyze quadratic equations in order to determine how many different real number solutions they have.

https://www.khanacademy.org/e/determine-the-number-of-solutions-of-a-quadratic-equation

Standard REI.4

Common Core Area - Reasoning with Equations and Inequalities

Skill - Quadratics by taking square roots - Solve quadratic equations of the form (x+a)²-b=0. These can be solved using square roots. For example, solve (x-5)²-4=0.

https://www.khanacademy.org/e/solving_quadratics_by_taking_the_square_root

Standard REI.4

Common Core Area - Reasoning with Equations and Inequalities

Skill - Solve quadratic equations: complex solutions - Solve quadratic equations using the quadratic formula. Some of the equations have real solutions while others have complex solutions.

https://www.khanacademy.org/e/quadratic-formula-with-complex-solutions

Standard REI.4

Common Core Area - Reasoning with Equations and Inequalities

Skill - Solve equations using structure - Solve advanced equations by strategically using quadratic factorization methods.

https://www.khanacademy.org/e/solving-quadratics-by-using-structure

Standard REI.5

Common Core Area - Reasoning with Equations and Inequalities

Skill - Equivalent systems of equations - Determine whether a couple of given systems of equations are equivalent or not to a third given system.

https://www.khanacademy.org/e/understanding-solution-methods-to-systems-of-equations

Standard REI.6

Common Core Area - Reasoning with Equations and Inequalities

Skill - Systems of equations with elimination - Solve systems of equation with one-step elimination (e.g., x-values or y-values cancel each other out).

https://www.khanacademy.org/e/systems_of_equations_with_elimination_0.5

Standard REI.6

Common Core Area - Reasoning with Equations and Inequalities

Skill - Systems of equations with elimination challenge - Solve systems of equation with multi-step elimination (e.g., a manipulation is needed in order for x-values or y-values to cancel each other out).

https://www.khanacademy.org/e/systems_of_equations_with_elimination

Standard REI.6

Common Core Area - Reasoning with Equations and Inequalities

Skill - Systems of equations word problems capstone - Solve word problems that involve systems of equations, where there can either be a single solution, no solution, or infinite solutions.

https://www.khanacademy.org/e/systems-of-equations-word-problems-capstone

Standard REI.6

Common Core Area - Reasoning with Equations and Inequalities

Skill - Systems of equations with graphing - Graph a system of equations in slope-intercept or standard form, and find their solution using the graphs.

https://www.khanacademy.org/e/graphing_systems_of_equations

Standard REI.6

Common Core Area - Reasoning with Equations and Inequalities

Skill - Solutions of systems of equations - Verify whether a given pair of values is a solution to a system of equations.

https://www.khanacademy.org/e/verifying-solutions-to-systems-of-equations

Standard REI.6

Common Core Area - Reasoning with Equations and Inequalities

Skill - Age word problems - Solve age word problems with a system of equations.

https://www.khanacademy.org/e/age_word_problems

Standard REI.6

Common Core Area - Reasoning with Equations and Inequalities

Skill - Systems of equations word problems - Solve word problems by modeling them into a system of equations and solving it.

https://www.khanacademy.org/e/understanding-systems-of-equations-word-problems

Standard REI.6

Common Core Area - Reasoning with Equations and Inequalities

Skill - Linear systems of equations capstone - Solve systems of equations with any number of solutions using any solution method.

https://www.khanacademy.org/e/systems_of_equations

Standard REI.6

Common Core Area - Reasoning with Equations and Inequalities

Skill - Systems of equations with substitution - Solve systems of equations where one of the equations is solved for one of the variables.

https://www.khanacademy.org/e/systems_of_equations_with_substitution

Standard REI.7

Common Core Area - Reasoning with Equations and Inequalities

Skill - Coming Soon -

Standard REI.8

Common Core Area - Reasoning with Equations and Inequalities

Skill - Represent linear systems with matrices - Determine the matrix that represents a given system of linear equations.

https://www.khanacademy.org/e/represent-systems-with-matrices

Standard REI.8

Common Core Area - Reasoning with Equations and Inequalities

Skill - Represent linear systems with matrix equations - Represent systems of two linear equations with matrix equations by determining A and b in the matrix equation A*x=b.

https://www.khanacademy.org/e/writing-systems-of-equations-as-matrix-equations

Standard REI.8

Common Core Area - Reasoning with Equations and Inequalities

Skill - Matrix row operations - Determine the matrix that is the result of performing a specific row operation on a given matrix.

https://www.khanacademy.org/e/perform-elementary-matrix-row-operations

Standard REI.9

Common Core Area - Reasoning with Equations and Inequalities

Skill - Determine invertible matrices - Given a 2x2 matrix, determine whether it has an inverse.

https://www.khanacademy.org/e/determine-invertibile-2x2-matrices

Standard REI.9

Common Core Area - Reasoning with Equations and Inequalities

Skill - Find the inverse of a 2x2 matrix - Find the inverse matrix of a given 2x2 matrix.

https://www.khanacademy.org/e/matrix_inverse_2x2

Standard REI.9

Common Core Area - Reasoning with Equations and Inequalities

Skill - Determine inverse matrices - Given a pair of matrices, determine whether they are inverses of each other.

https://www.khanacademy.org/e/determine-inverse-matrices

Standard REI.10

Common Core Area - Reasoning with Equations and Inequalities

Skill - Solutions to 2-variable equations - Determine which ordered pairs are solutions to equations.

https://www.khanacademy.org/e/plugging_in_values

Standard REI.10

Common Core Area - Reasoning with Equations and Inequalities

Skill - Number of solutions to a system of equations graphically - Determine the number of solutions of a given system of equations by considering its graph.

https://www.khanacademy.org/e/graphical-solutions-to-systems

Standard REI.10

Common Core Area - Reasoning with Equations and Inequalities

Skill - Slope-intercept intro - Practice your basic understanding of slope-intercept form for linear equations.

https://www.khanacademy.org/e/slope-from-an-equation-in-slope-intercept-form

Standard REI.10

Common Core Area - Reasoning with Equations and Inequalities

Skill - Complete solutions to 2-variable equations - Given the x or y value of a 2-variable equation solution, find the value for the other variable in the solution.

https://www.khanacademy.org/e/graphing-solutions-to-two-variable-linear-equations

Standard REI.10

Common Core Area - Reasoning with Equations and Inequalities

Skill - Number of solutions to a system of equations algebraically - Determine the number of solutions of a given system of equations by considering its algebraic solution process.

https://www.khanacademy.org/e/constructing-consistent-and-inconsistent-system

Standard REI.10

Common Core Area - Reasoning with Equations and Inequalities

Skill - Intercepts from a graph - Look at the graph of an equation to find x-intercepts and y-intercepts

https://www.khanacademy.org/e/linear-function-intercepts

Standard REI.11

Common Core Area - Reasoning with Equations and Inequalities

Skill - Systems of equations with graphing - Graph a system of equations in slope-intercept or standard form, and find their solution using the graphs.

https://www.khanacademy.org/e/graphing_systems_of_equations

Standard REI.11

Common Core Area - Reasoning with Equations and Inequalities

Skill - Interpret equations graphically - Practice the connection between the graphical representation of equations and their algebraic solutions.

https://www.khanacademy.org/e/systems-of-nonlinear-equations

Standard REI.11

Common Core Area - Reasoning with Equations and Inequalities

Skill - Solutions of systems of equations - Verify whether a given pair of values is a solution to a system of equations.

https://www.khanacademy.org/e/verifying-solutions-to-systems-of-equations

Standard REI.11

Common Core Area - Reasoning with Equations and Inequalities

Skill - Number of solutions to a system of equations graphically - Determine the number of solutions of a given system of equations by considering its graph.

https://www.khanacademy.org/e/graphical-solutions-to-systems

Standard REI.11

Common Core Area - Reasoning with Equations and Inequalities

Skill - Solve equations graphically - Solve advanced and complicated equations using the power of graphs.

https://www.khanacademy.org/e/intersecting-functions

Standard REI.11

Common Core Area - Reasoning with Equations and Inequalities

Skill - Number of solutions to a system of equations algebraically - Determine the number of solutions of a given system of equations by considering its algebraic solution process.

https://www.khanacademy.org/e/constructing-consistent-and-inconsistent-system

Standard REI.12

Common Core Area - Reasoning with Equations and Inequalities

Skill - Two-variable inequalities from their graphs - Fit an algebraic two-variable inequality to its appropriate graph.

https://www.khanacademy.org/e/graphs_of_inequalities

Standard REI.12

Common Core Area - Reasoning with Equations and Inequalities

Skill - Systems of inequalities graphs - Find the graph that represents the solution to a system of inequalities.

https://www.khanacademy.org/e/graphing_systems_of_inequalities_2

Standard REI.12

Common Core Area - Reasoning with Equations and Inequalities

Skill - Graphs of inequalities - Graph two-variable linear inequalities.

Standard SSE.1

Common Core Area - Seeing Structure in Expressions

Skill - Interpret change in exponential models: changing units - Given a function that models an exponential situation, rewrite the function in order to find its change for a different time unit.

https://www.khanacademy.org/e/interpret-rate-of-change-of-exponential-models-for-a-different-unit

Standard SSE.1

Common Core Area - Seeing Structure in Expressions

Skill - Interpret change in exponential models: changing units - Given a function that models an exponential situation, rewrite the function in order to find its change for a different time unit.

https://www.khanacademy.org/e/interpret-rate-of-change-of-exponential-models-for-a-different-unit

Standard SSE.1

Common Core Area - Seeing Structure in Expressions

Skill - Factor polynomials: common factor - Practice finding the greatest common factors of polynomials and factoring them out of the polynomials.

https://www.khanacademy.org/e/factoring-polynomials

Standard SSE.1

Common Core Area - Seeing Structure in Expressions

Skill - Analyzing structure with linear inequalities - Given some information about a real-world context, analyze expressions containing unknown variables that model that context.

https://www.khanacademy.org/e/compare-expressions-with-unknown-variables-word-problems

Standard SSE.1

Common Core Area - Seeing Structure in Expressions

Skill - Multiply monomials - More challenging multiplying monomial problems like find the area or find missing values to make an equation true.

https://www.khanacademy.org/e/multiply-monomials-challenge

Standard SSE.1

Common Core Area - Seeing Structure in Expressions

Skill - Interpret change in exponential models: with manipulation - Given a function that models an exponential situation, rewrite the function in order to analyze its rate of change.

https://www.khanacademy.org/e/interpret-rate-of-change-of-exponential-models-with-manipulation

Standard SSE.1

Common Core Area - Seeing Structure in Expressions

Skill - Factor polynomials: common factor - Practice finding the greatest common factors of polynomials and factoring them out of the polynomials.

https://www.khanacademy.org/e/factoring-polynomials

Standard SSE.1

Common Core Area - Seeing Structure in Expressions

Skill - Analyzing structure with linear inequalities - Given some information about a real-world context, analyze expressions containing unknown variables that model that context.

https://www.khanacademy.org/e/compare-expressions-with-unknown-variables-word-problems

Standard SSE.1

Common Core Area - Seeing Structure in Expressions

Skill - Multiply monomials - More challenging multiplying monomial problems like find the area or find missing values to make an equation true.

https://www.khanacademy.org/e/multiply-monomials-challenge

Standard SSE.1

Common Core Area - Seeing Structure in Expressions

Skill - Interpret change in exponential models: with manipulation - Given a function that models an exponential situation, rewrite the function in order to analyze its rate of change.

https://www.khanacademy.org/e/interpret-rate-of-change-of-exponential-models-with-manipulation

Standard SSE.1

Common Core Area - Seeing Structure in Expressions

Skill - Factor polynomials: common factor - Practice finding the greatest common factors of polynomials and factoring them out of the polynomials.

https://www.khanacademy.org/e/factoring-polynomials

Standard SSE.1

Common Core Area - Seeing Structure in Expressions

Skill - Interpret change in exponential models: changing units - Given a function that models an exponential situation, rewrite the function in order to find its change for a different time unit.

https://www.khanacademy.org/e/interpret-rate-of-change-of-exponential-models-for-a-different-unit

Standard SSE.1

Common Core Area - Seeing Structure in Expressions

Skill - Analyzing structure with linear inequalities - Given some information about a real-world context, analyze expressions containing unknown variables that model that context.

https://www.khanacademy.org/e/compare-expressions-with-unknown-variables-word-problems

Standard SSE.1

Common Core Area - Seeing Structure in Expressions

https://www.khanacademy.org/e/multiply-monomials-challenge

Standard SSE.1

Common Core Area - Seeing Structure in Expressions

Skill - Interpret change in exponential models: with manipulation - Given a function that models an exponential situation, rewrite the function in order to analyze its rate of change.

https://www.khanacademy.org/e/interpret-rate-of-change-of-exponential-models-with-manipulation

Standard SSE.2

Common Core Area - Seeing Structure in Expressions

Skill - Factor monomials - Factor monomials as products of smaller monomials.

https://www.khanacademy.org/e/factoring-monomials

Standard SSE.2

Common Core Area - Seeing Structure in Expressions

Skill - Factoring polynomials challenge - Review your skills for using the structure of expressions with some challenge problems.

https://www.khanacademy.org/e/advanced-structure-in-expressions

Standard SSE.2

Common Core Area - Seeing Structure in Expressions

Skill - Factor polynomials: special product forms - Factor "advanced" polynomials (i.e. polynomials of various degrees and or with two variables) using special product factorization methods.

https://www.khanacademy.org/e/factoring_difference_of_squares_3

Standard SSE.2

Common Core Area - Seeing Structure in Expressions

https://www.khanacademy.org/e/factoring-polynomials

Standard SSE.2

Common Core Area - Seeing Structure in Expressions

Skill - Perfect squares - Factor quadratic expressions of the general perfect square forms: (ax)²+2abx+b² or (ax)²-2abx+b². The factored expressions have the general forms (ax+b)² or (ax-b)Â².

https://www.khanacademy.org/e/factoring-perfect-squares

Standard SSE.2

Common Core Area - Seeing Structure in Expressions

https://www.khanacademy.org/e/solving-quadratics-by-using-structure

Standard SSE.2

Common Core Area - Seeing Structure in Expressions

Skill - Factor polynomials: quadratic methods (challenge) - Factor "advanced" polynomials (i.e. polynomials of various degrees and or with two variables) using quadratic factorization methods.

https://www.khanacademy.org/e/factoring_polynomials_with_two_variables

Standard SSE.2

Common Core Area - Seeing Structure in Expressions

Skill - Zeros of polynomials & their graphs - Select the graph that best suits a polynomial equation by considering the zeros of the polynomial.

https://www.khanacademy.org/e/using-zeros-to-graph-polynomials

Standard SSE.2

Common Core Area - Seeing Structure in Expressions

Skill - Find zeros of polynomials - Use various methods in order to find all the zeros of polynomial expressions or functions.

https://www.khanacademy.org/e/find-the-zeros-of-polynomials

Standard SSE.2

Common Core Area - Seeing Structure in Expressions

Skill - Difference of squares - Factor quadratic expressions of the general difference of squares form: (ax)^2-b^2. The factored expressions have the general form (ax+b)(ax-b).

https://www.khanacademy.org/e/factoring_difference_of_squares_2

Standard SSE.2

Common Core Area - Seeing Structure in Expressions

Skill - Evaluate expressions using structure - Given some information about several unknown variables, evaluate an expression containing those variables.

https://www.khanacademy.org/e/expressions_with_unknown_variables

Standard SSE.2

Common Core Area - Seeing Structure in Expressions

Skill - Difference of squares intro - Factor quadratic expressions into the special products of the general form (x+a)(x-a).

https://www.khanacademy.org/e/factoring_difference_of_squares_1

Standard SSE.2

Common Core Area - Seeing Structure in Expressions

Skill - Factor polynomials: quadratic methods - Factor polynomials that can be factored as the product of a monomial and a quadratic expression, then further factor the quadratic expression.

https://www.khanacademy.org/e/factoring_polynomials_2

Standard SSE.2

Common Core Area - Seeing Structure in Expressions

Skill - Manipulate expressions using structure - Rewrite an expression containing two unknown variables by using a given equation that contains those variables.

https://www.khanacademy.org/e/structure-in-expressions-1

Standard SSE.3

Common Core Area - Seeing Structure in Expressions

Skill - Convert linear equations to standard form - Convert linear equations in various forms into standard form.

https://www.khanacademy.org/e/converting_between_slope_intercept_and_standard_form

Standard SSE.3

Common Core Area - Seeing Structure in Expressions

Skill - Linear systems of equations capstone - Solve systems of equations with any number of solutions using any solution method.

https://www.khanacademy.org/e/systems_of_equations

Standard SSE.3

Common Core Area - Seeing Structure in Expressions

Skill - Rewrite exponential expressions - Rewrite a given exponential expression in a specific desired form.

https://www.khanacademy.org/e/rewrite-exponential-expressions

Standard SSE.3

Common Core Area - Seeing Structure in Expressions

https://www.khanacademy.org/e/interpret-rate-of-change-of-exponential-models-with-manipulation

Standard SSE.3

Common Core Area - Seeing Structure in Expressions

https://www.khanacademy.org/e/key-features-quadratics

Standard SSE.3

Common Core Area - Seeing Structure in Expressions

Skill - Equivalent forms of exponential expressions - Determine whether pairs of exponential expressions are equivalent.

https://www.khanacademy.org/e/equivalent-forms-of-expressions-with-variable-exponents

Standard SSE.3

Common Core Area - Seeing Structure in Expressions

Skill - Interpret time in exponential models - Given a function that models an exponential situation, find the time interval over which the quantity changes by a given factor.

https://www.khanacademy.org/e/rewriting-and-interpreting-exponential-functions

Standard SSE.3

Common Core Area - Seeing Structure in Expressions

Skill - Difference of squares intro - Factor quadratic expressions into the special products of the general form (x+a)(x-a).

https://www.khanacademy.org/e/factoring_difference_of_squares_1

Standard SSE.3

Common Core Area - Seeing Structure in Expressions

Skill - Slope from equation - Find the slopes of lines whose equations are given in various forms. For example, find the slope of 2x+3y=5.

https://www.khanacademy.org/e/slope-from-an-equation-in-standard-form

Standard SSE.3

Common Core Area - Seeing Structure in Expressions

Skill - Graph parabolas in all forms - Graph quadratic functions given in any form.

https://www.khanacademy.org/e/graphing_parabolas_2

Standard SSE.3

Common Core Area - Seeing Structure in Expressions

Skill - Zeros of polynomials & their graphs - Select the graph that best suits a polynomial equation by considering the zeros of the polynomial.

https://www.khanacademy.org/e/using-zeros-to-graph-polynomials

Standard SSE.3

Common Core Area - Seeing Structure in Expressions

https://www.khanacademy.org/e/solving_quadratics_by_factoring

Standard SSE.3

Common Core Area - Seeing Structure in Expressions

Skill - Features of quadratic functions: strategy - Identify the form of a quadratic function that immediately reveals a given feature of that function. Features in question are the y-intercept of the graph, the zeroes ("roots") of the function, and the vertex of the parabola.

https://www.khanacademy.org/e/identifying-and-using-quadratic-forms

Standard SSE.3

Common Core Area - Seeing Structure in Expressions

https://www.khanacademy.org/e/completing_the_square_1

Standard SSE.3

Common Core Area - Seeing Structure in Expressions

Skill - Factor quadratics by grouping - Factor quadratics of the form ax²+bx+c.

https://www.khanacademy.org/e/factoring_polynomials_by_grouping_1

Standard SSE.3

Common Core Area - Seeing Structure in Expressions

Skill - Features of quadratic functions - Find the zeroes ("roots") of quadratic functions and the vertex of their parabolas. Functions are given in standard, vertex, and factored form.

https://www.khanacademy.org/e/rewriting-expressions-to-reveal-information

Standard SSE.3

Common Core Area - Seeing Structure in Expressions

Skill - Graph quadratics in standard form - Graph quadratic functions given in the standard form ax²+bx+c. For example, graph y=5x²-20x+15.

https://www.khanacademy.org/e/graphing_parabolas_0.5

Standard SSE.3

Common Core Area - Seeing Structure in Expressions

Skill - Factor polynomials: special product forms - Factor "advanced" polynomials (i.e. polynomials of various degrees and or with two variables) using special product factorization methods.

https://www.khanacademy.org/e/factoring_difference_of_squares_3

Standard SSE.3

Common Core Area - Seeing Structure in Expressions

Skill - Perfect squares - Factor quadratic expressions of the general perfect square forms: (ax)²+2abx+b² or (ax)²-2abx+b². The factored expressions have the general forms (ax+b)² or (ax-b)Â².

https://www.khanacademy.org/e/factoring-perfect-squares

Standard SSE.3

Common Core Area - Seeing Structure in Expressions

Skill - Interpret change in exponential models - Given a function that models an exponential situation, find the factor by which the quantity changes per unit time interval.

https://www.khanacademy.org/e/modeling-with-exponential-functions

Standard SSE.3

Common Core Area - Seeing Structure in Expressions

Skill - Factor polynomials: quadratic methods (challenge) - Factor "advanced" polynomials (i.e. polynomials of various degrees and or with two variables) using quadratic factorization methods.

https://www.khanacademy.org/e/factoring_polynomials_with_two_variables

Standard SSE.3

Common Core Area - Seeing Structure in Expressions

https://www.khanacademy.org/e/compare-expressions-with-unknown-variables-word-problems

Standard SSE.3

Common Core Area - Seeing Structure in Expressions

Skill - Factoring quadratics intro - Factor quadratics of the form x²+bx+c.

https://www.khanacademy.org/e/factoring_polynomials_1

Standard SSE.3

Common Core Area - Seeing Structure in Expressions

https://www.khanacademy.org/e/completing_the_square_2

Standard SSE.3

Common Core Area - Seeing Structure in Expressions

https://www.khanacademy.org/e/interpret-rate-of-change-of-exponential-models-for-a-different-unit

Standard SSE.3

Common Core Area - Seeing Structure in Expressions

https://www.khanacademy.org/e/solving-quadratics-by-using-structure

Standard SSE.3

Common Core Area - Seeing Structure in Expressions

https://www.khanacademy.org/e/solving_quadratics_by_factoring_2

Standard SSE.3

Common Core Area - Seeing Structure in Expressions

https://www.khanacademy.org/e/factoring-polynomials

Standard SSE.3

Common Core Area - Seeing Structure in Expressions

Skill - Perfect squares - Factor quadratic expressions of the general perfect square forms: (ax)²+2abx+b² or (ax)²-2abx+b². The factored expressions have the general forms (ax+b)² or (ax-b)Â².

https://www.khanacademy.org/e/factoring-perfect-squares

Standard SSE.3

Common Core Area - Seeing Structure in Expressions

Skill - Graph parabolas in all forms - Graph quadratic functions given in any form.

https://www.khanacademy.org/e/graphing_parabolas_2

Standard SSE.3

Common Core Area - Seeing Structure in Expressions

Skill - Slope from equation - Find the slopes of lines whose equations are given in various forms. For example, find the slope of 2x+3y=5.

https://www.khanacademy.org/e/slope-from-an-equation-in-standard-form

Standard SSE.3

Common Core Area - Seeing Structure in Expressions

Skill - Difference of squares intro - Factor quadratic expressions into the special products of the general form (x+a)(x-a).

https://www.khanacademy.org/e/factoring_difference_of_squares_1

Standard SSE.3

Common Core Area - Seeing Structure in Expressions

Skill - Equivalent forms of exponential expressions - Determine whether pairs of exponential expressions are equivalent.

https://www.khanacademy.org/e/equivalent-forms-of-expressions-with-variable-exponents

Standard SSE.3

Common Core Area - Seeing Structure in Expressions

https://www.khanacademy.org/e/key-features-quadratics

Standard SSE.3

Common Core Area - Seeing Structure in Expressions

https://www.khanacademy.org/e/interpret-rate-of-change-of-exponential-models-with-manipulation

Standard SSE.3

Common Core Area - Seeing Structure in Expressions

Skill - Rewrite exponential expressions - Rewrite a given exponential expression in a specific desired form.

https://www.khanacademy.org/e/rewrite-exponential-expressions

Standard SSE.3

Common Core Area - Seeing Structure in Expressions

Skill - Linear systems of equations capstone - Solve systems of equations with any number of solutions using any solution method.

https://www.khanacademy.org/e/systems_of_equations

Standard SSE.3

Common Core Area - Seeing Structure in Expressions

Skill - Convert linear equations to standard form - Convert linear equations in various forms into standard form.

https://www.khanacademy.org/e/converting_between_slope_intercept_and_standard_form

Standard SSE.3

Common Core Area - Seeing Structure in Expressions

Skill - Factor quadratics by grouping - Factor quadratics of the form ax²+bx+c.

https://www.khanacademy.org/e/factoring_polynomials_by_grouping_1

Standard SSE.3

Common Core Area - Seeing Structure in Expressions

Skill - Features of quadratic functions - Find the zeroes ("roots") of quadratic functions and the vertex of their parabolas. Functions are given in standard, vertex, and factored form.

https://www.khanacademy.org/e/rewriting-expressions-to-reveal-information

Standard SSE.3

Common Core Area - Seeing Structure in Expressions

Skill - Graph quadratics in standard form - Graph quadratic functions given in the standard form ax²+bx+c. For example, graph y=5x²-20x+15.

https://www.khanacademy.org/e/graphing_parabolas_0.5

Standard SSE.3

Common Core Area - Seeing Structure in Expressions

Skill - Factor polynomials: special product forms - Factor "advanced" polynomials (i.e. polynomials of various degrees and or with two variables) using special product factorization methods.

https://www.khanacademy.org/e/factoring_difference_of_squares_3

Standard SSE.3

Common Core Area - Seeing Structure in Expressions

https://www.khanacademy.org/e/completing_the_square_in_quadratic_expressions

Standard SSE.3

Common Core Area - Seeing Structure in Expressions

Skill - Interpret change in exponential models - Given a function that models an exponential situation, find the factor by which the quantity changes per unit time interval.

https://www.khanacademy.org/e/modeling-with-exponential-functions

Standard SSE.3

Common Core Area - Seeing Structure in Expressions

Skill - Interpret time in exponential models - Given a function that models an exponential situation, find the time interval over which the quantity changes by a given factor.

https://www.khanacademy.org/e/rewriting-and-interpreting-exponential-functions

Standard SSE.3

Common Core Area - Seeing Structure in Expressions

Skill - Factor polynomials: quadratic methods (challenge) - Factor "advanced" polynomials (i.e. polynomials of various degrees and or with two variables) using quadratic factorization methods.

https://www.khanacademy.org/e/factoring_polynomials_with_two_variables

Standard SSE.3

Common Core Area - Seeing Structure in Expressions

https://www.khanacademy.org/e/compare-expressions-with-unknown-variables-word-problems

Standard SSE.3

Common Core Area - Seeing Structure in Expressions

Skill - Factoring quadratics intro - Factor quadratics of the form x²+bx+c.

https://www.khanacademy.org/e/factoring_polynomials_1

Standard SSE.3

Common Core Area - Seeing Structure in Expressions

https://www.khanacademy.org/e/completing_the_square_2

Standard SSE.3

Common Core Area - Seeing Structure in Expressions

https://www.khanacademy.org/e/interpret-rate-of-change-of-exponential-models-for-a-different-unit

Standard SSE.3

Common Core Area - Seeing Structure in Expressions

https://www.khanacademy.org/e/solving-quadratics-by-using-structure

Standard SSE.3

Common Core Area - Seeing Structure in Expressions

https://www.khanacademy.org/e/factoring-polynomials

Standard SSE.3

Common Core Area - Seeing Structure in Expressions

Skill - Factor polynomials: quadratic methods - Factor polynomials that can be factored as the product of a monomial and a quadratic expression, then further factor the quadratic expression.

https://www.khanacademy.org/e/factoring_polynomials_2

Standard SSE.3

Common Core Area - Seeing Structure in Expressions

Skill - Factor monomials - Factor monomials as products of smaller monomials.

https://www.khanacademy.org/e/factoring-monomials

Standard SSE.3

Common Core Area - Seeing Structure in Expressions

Skill - Find zeros of polynomials - Use various methods in order to find all the zeros of polynomial expressions or functions.

https://www.khanacademy.org/e/find-the-zeros-of-polynomials

Standard SSE.3

Common Core Area - Seeing Structure in Expressions

Skill - Compare features of functions - Compare various features between two functions, each represented in a different way.

https://www.khanacademy.org/e/comparing-features-of-functions-2

Standard SSE.3

Common Core Area - Seeing Structure in Expressions

https://www.khanacademy.org/e/interpret-rate-of-change-of-exponential-models-with-manipulation

Standard SSE.3

Common Core Area - Seeing Structure in Expressions

Skill - Interpret change in exponential models - Given a function that models an exponential situation, find the factor by which the quantity changes per unit time interval.

https://www.khanacademy.org/e/modeling-with-exponential-functions

Standard SSE.3

Common Core Area - Seeing Structure in Expressions

https://www.khanacademy.org/e/factoring-perfect-squares

Standard SSE.3

Common Core Area - Seeing Structure in Expressions

https://www.khanacademy.org/e/factoring_difference_of_squares_3

Standard SSE.3

Common Core Area - Seeing Structure in Expressions

Skill - Graph quadratics in standard form - Graph quadratic functions given in the standard form ax²+bx+c. For example, graph y=5x²-20x+15.

https://www.khanacademy.org/e/graphing_parabolas_0.5

Standard SSE.3

Common Core Area - Seeing Structure in Expressions

Skill - Features of quadratic functions - Find the zeroes ("roots") of quadratic functions and the vertex of their parabolas. Functions are given in standard, vertex, and factored form.

https://www.khanacademy.org/e/rewriting-expressions-to-reveal-information

Standard SSE.3

Common Core Area - Seeing Structure in Expressions

Skill - Factor quadratics by grouping - Factor quadratics of the form ax²+bx+c.

https://www.khanacademy.org/e/factoring_polynomials_by_grouping_1

Standard SSE.3

Common Core Area - Seeing Structure in Expressions

Skill - Convert linear equations to standard form - Convert linear equations in various forms into standard form.

https://www.khanacademy.org/e/converting_between_slope_intercept_and_standard_form

Standard SSE.3

Common Core Area - Seeing Structure in Expressions

https://www.khanacademy.org/e/systems_of_equations

Standard SSE.3

Common Core Area - Seeing Structure in Expressions

Skill - Rewrite exponential expressions - Rewrite a given exponential expression in a specific desired form.

https://www.khanacademy.org/e/rewrite-exponential-expressions

Standard SSE.3

Common Core Area - Seeing Structure in Expressions

Skill - Interpret time in exponential models - Given a function that models an exponential situation, find the time interval over which the quantity changes by a given factor.

https://www.khanacademy.org/e/rewriting-and-interpreting-exponential-functions

Standard SSE.3

Common Core Area - Seeing Structure in Expressions

https://www.khanacademy.org/e/key-features-quadratics

Standard SSE.3

Common Core Area - Seeing Structure in Expressions

Skill - Equivalent forms of exponential expressions - Determine whether pairs of exponential expressions are equivalent.

https://www.khanacademy.org/e/equivalent-forms-of-expressions-with-variable-exponents

Standard SSE.3

Common Core Area - Seeing Structure in Expressions

https://www.khanacademy.org/e/factoring_difference_of_squares_1

Standard SSE.3

Common Core Area - Seeing Structure in Expressions

Skill - Slope from equation - Find the slopes of lines whose equations are given in various forms. For example, find the slope of 2x+3y=5.

https://www.khanacademy.org/e/slope-from-an-equation-in-standard-form

Standard SSE.3

Common Core Area - Seeing Structure in Expressions

Skill - Graph parabolas in all forms - Graph quadratic functions given in any form.

https://www.khanacademy.org/e/graphing_parabolas_2

Standard SSE.3

Common Core Area - Seeing Structure in Expressions

https://www.khanacademy.org/e/using-zeros-to-graph-polynomials

Standard SSE.3

Common Core Area - Seeing Structure in Expressions

https://www.khanacademy.org/e/solving_quadratics_by_factoring

Standard SSE.3

Common Core Area - Seeing Structure in Expressions

Skill - Features of quadratic functions: strategy - Identify the form of a quadratic function that immediately reveals a given feature of that function. Features in question are the y-intercept of the graph, the zeroes ("roots") of the function, and the vertex of the parabola.

https://www.khanacademy.org/e/identifying-and-using-quadratic-forms

Standard SSE.3

Common Core Area - Seeing Structure in Expressions

https://www.khanacademy.org/e/completing_the_square_1

Standard SSE.3

Common Core Area - Seeing Structure in Expressions

Skill - Factor monomials - Factor monomials as products of smaller monomials.

https://www.khanacademy.org/e/factoring-monomials

Standard SSE.3

Common Core Area - Seeing Structure in Expressions

Skill - Factor polynomials: quadratic methods - Factor polynomials that can be factored as the product of a monomial and a quadratic expression, then further factor the quadratic expression.

https://www.khanacademy.org/e/factoring_polynomials_2

Standard SSE.3

Common Core Area - Seeing Structure in Expressions

https://www.khanacademy.org/e/using-zeros-to-graph-polynomials

Standard SSE.3

Common Core Area - Seeing Structure in Expressions

https://www.khanacademy.org/e/solving_quadratics_by_factoring

Standard SSE.3

Common Core Area - Seeing Structure in Expressions

Skill - Features of quadratic functions: strategy - Identify the form of a quadratic function that immediately reveals a given feature of that function. Features in question are the y-intercept of the graph, the zeroes ("roots") of the function, and the vertex of the parabola.

https://www.khanacademy.org/e/identifying-and-using-quadratic-forms

Standard SSE.3

Common Core Area - Seeing Structure in Expressions

https://www.khanacademy.org/e/completing_the_square_1

Standard SSE.3

Common Core Area - Seeing Structure in Expressions

https://www.khanacademy.org/e/completing_the_square_in_quadratic_expressions

Standard SSE.3

Common Core Area - Seeing Structure in Expressions

Skill - Compare features of functions - Compare various features between two functions, each represented in a different way.

https://www.khanacademy.org/e/comparing-features-of-functions-2

Standard SSE.3

Common Core Area - Seeing Structure in Expressions

https://www.khanacademy.org/e/solving_quadratics_by_factoring_2

Standard SSE.3

Common Core Area - Seeing Structure in Expressions

https://www.khanacademy.org/e/find-the-zeros-of-polynomials

Standard SSE.3

Common Core Area - Seeing Structure in Expressions

Skill - Factor monomials - Factor monomials as products of smaller monomials.

https://www.khanacademy.org/e/factoring-monomials

Standard SSE.3

Common Core Area - Seeing Structure in Expressions

https://www.khanacademy.org/e/factoring_polynomials_2

Standard SSE.3

Common Core Area - Seeing Structure in Expressions

https://www.khanacademy.org/e/factoring-polynomials

Standard SSE.3

Common Core Area - Seeing Structure in Expressions

https://www.khanacademy.org/e/solving-quadratics-by-using-structure

Standard SSE.3

Common Core Area - Seeing Structure in Expressions

https://www.khanacademy.org/e/interpret-rate-of-change-of-exponential-models-for-a-different-unit

Standard SSE.3

Common Core Area - Seeing Structure in Expressions

https://www.khanacademy.org/e/completing_the_square_2

Standard SSE.3

Common Core Area - Seeing Structure in Expressions

Skill - Factoring quadratics intro - Factor quadratics of the form x²+bx+c.

https://www.khanacademy.org/e/factoring_polynomials_1

Standard SSE.3

Common Core Area - Seeing Structure in Expressions

https://www.khanacademy.org/e/compare-expressions-with-unknown-variables-word-problems

Standard SSE.3

Common Core Area - Seeing Structure in Expressions

https://www.khanacademy.org/e/factoring_polynomials_with_two_variables

Standard SSE.3

Common Core Area - Seeing Structure in Expressions

https://www.khanacademy.org/e/slope-from-an-equation-in-standard-form

Standard SSE.3

Common Core Area - Seeing Structure in Expressions

https://www.khanacademy.org/e/rewriting-expressions-to-reveal-information

Standard SSE.3

Common Core Area - Seeing Structure in Expressions

Skill - Factor quadratics by grouping - Factor quadratics of the form ax²+bx+c.

https://www.khanacademy.org/e/factoring_polynomials_by_grouping_1

Standard SSE.3

Common Core Area - Seeing Structure in Expressions

https://www.khanacademy.org/e/converting_between_slope_intercept_and_standard_form

Standard SSE.3

Common Core Area - Seeing Structure in Expressions

https://www.khanacademy.org/e/systems_of_equations

Standard SSE.3

Common Core Area - Seeing Structure in Expressions

https://www.khanacademy.org/e/rewrite-exponential-expressions

Standard SSE.3

Common Core Area - Seeing Structure in Expressions

https://www.khanacademy.org/e/interpret-rate-of-change-of-exponential-models-with-manipulation

Standard SSE.3

Common Core Area - Seeing Structure in Expressions

https://www.khanacademy.org/e/key-features-quadratics

Standard SSE.3

Common Core Area - Seeing Structure in Expressions

https://www.khanacademy.org/e/equivalent-forms-of-expressions-with-variable-exponents

Standard SSE.3

Common Core Area - Seeing Structure in Expressions

https://www.khanacademy.org/e/factoring_difference_of_squares_1

Standard SSE.3

Common Core Area - Seeing Structure in Expressions

Skill - Compare features of functions - Compare various features between two functions, each represented in a different way.

https://www.khanacademy.org/e/comparing-features-of-functions-2

Standard SSE.3

Common Core Area - Seeing Structure in Expressions

Skill - Graph parabolas in all forms - Graph quadratic functions given in any form.

https://www.khanacademy.org/e/graphing_parabolas_2

Standard SSE.3

Common Core Area - Seeing Structure in Expressions

https://www.khanacademy.org/e/using-zeros-to-graph-polynomials

Standard SSE.3

Common Core Area - Seeing Structure in Expressions

https://www.khanacademy.org/e/solving_quadratics_by_factoring

Standard SSE.3

Common Core Area - Seeing Structure in Expressions

https://www.khanacademy.org/e/identifying-and-using-quadratic-forms

Standard SSE.3

Common Core Area - Seeing Structure in Expressions

https://www.khanacademy.org/e/completing_the_square_1

Standard SSE.3

Common Core Area - Seeing Structure in Expressions

https://www.khanacademy.org/e/completing_the_square_in_quadratic_expressions

Standard SSE.3

Common Core Area - Seeing Structure in Expressions

https://www.khanacademy.org/e/comparing-features-of-functions-2

Standard SSE.3

Common Core Area - Seeing Structure in Expressions

https://www.khanacademy.org/e/solving_quadratics_by_factoring_2

Standard SSE.3

Common Core Area - Seeing Structure in Expressions

https://www.khanacademy.org/e/find-the-zeros-of-polynomials

Standard SSE.3

Common Core Area - Seeing Structure in Expressions

https://www.khanacademy.org/e/compare-expressions-with-unknown-variables-word-problems

Standard SSE.3

Common Core Area - Seeing Structure in Expressions

https://www.khanacademy.org/e/find-the-zeros-of-polynomials

Standard SSE.3

Common Core Area - Seeing Structure in Expressions

Skill - Factor monomials - Factor monomials as products of smaller monomials.

https://www.khanacademy.org/e/factoring-monomials

Standard SSE.3

Common Core Area - Seeing Structure in Expressions

https://www.khanacademy.org/e/factoring_polynomials_2

Standard SSE.3

Common Core Area - Seeing Structure in Expressions

https://www.khanacademy.org/e/factoring-polynomials

Standard SSE.3

Common Core Area - Seeing Structure in Expressions

https://www.khanacademy.org/e/solving-quadratics-by-using-structure

Standard SSE.3

Common Core Area - Seeing Structure in Expressions

https://www.khanacademy.org/e/interpret-rate-of-change-of-exponential-models-for-a-different-unit

Standard SSE.3

Common Core Area - Seeing Structure in Expressions

https://www.khanacademy.org/e/completing_the_square_2

Standard SSE.3

Common Core Area - Seeing Structure in Expressions

Skill - Factoring quadratics intro - Factor quadratics of the form x²+bx+c.

https://www.khanacademy.org/e/factoring_polynomials_1

Standard SSE.3

Common Core Area - Seeing Structure in Expressions

https://www.khanacademy.org/e/factoring_polynomials_with_two_variables

Standard SSE.3

Common Core Area - Seeing Structure in Expressions

https://www.khanacademy.org/e/rewriting-and-interpreting-exponential-functions

Standard SSE.3

Common Core Area - Seeing Structure in Expressions

https://www.khanacademy.org/e/modeling-with-exponential-functions

Standard SSE.3

Common Core Area - Seeing Structure in Expressions

https://www.khanacademy.org/e/factoring-perfect-squares

Standard SSE.3

Common Core Area - Seeing Structure in Expressions

https://www.khanacademy.org/e/factoring_difference_of_squares_3

Standard SSE.3

Common Core Area - Seeing Structure in Expressions

https://www.khanacademy.org/e/graphing_parabolas_0.5

Standard SSE.3

Common Core Area - Seeing Structure in Expressions

https://www.khanacademy.org/e/solving_quadratics_by_factoring_2

Standard SSE.3

Common Core Area - Seeing Structure in Expressions

https://www.khanacademy.org/e/completing_the_square_in_quadratic_expressions

Standard SSE.4

Common Core Area - Seeing Structure in Expressions

Skill - Finite geometric series in sigma notation - Practice writing finite geometric series like 3 + 6 + 12 + 24 in sigma notation.

https://www.khanacademy.org/e/writing-finite-geometric-series-in-sigma-notation

Standard SSE.4

Common Core Area - Seeing Structure in Expressions

Skill - Finite geometric series - Evaluate finite geometric series given in sigma notation, recursively, or explicitly.

https://www.khanacademy.org/e/geometric-series--1

Standard SSE.4

Common Core Area - Seeing Structure in Expressions

Skill - Finite geometric series word problems - Understanding and solving problems with the formula for a finite geometric series

Standard BF.1

Common Core Area - Building Functions

Skill - Construct exponential models - Given a verbal description of the rate of change of a real world situation, find the exponential function that models it.

https://www.khanacademy.org/e/construct-exponential-models-according-to-rate-of-change

Standard BF.1

Common Core Area - Building Functions

Skill - Model with composite functions - Given two basic functions that model a real-world situation, compose them in order to model a more complex situation.

https://www.khanacademy.org/e/modeling-with-composite-functions

Standard BF.1

Common Core Area - Building Functions

Skill - Writing linear functions word problems - Find a linear function that represents a real-world relationship that is given verbally.

https://www.khanacademy.org/e/constructing-linear-functions-word-problems

Standard BF.1

Common Core Area - Building Functions

Skill - Model with function combination - Given two basic functions that model a real-world situation, combine them using the appropriate arithmetic operation in order to model a more complex situation.

https://www.khanacademy.org/e/combining-functions-with-arithmetic-operations

Standard BF.1

Common Core Area - Building Functions

Skill - Modeling with sinusoidal functions - Given the description of a real-world relationship, find the sinusoidal function that models it.

https://www.khanacademy.org/e/modeling-with-periodic-functions

Standard BF.1

Common Core Area - Building Functions

Skill - Linear models word problems - Solve general word problems about real-world relationships that can be modeled by linear equations or functions.

https://www.khanacademy.org/e/constructing-and-interpreting-linear-functions

Standard BF.1

Common Core Area - Building Functions

Skill - Sequences word problems - Given a verbal description of a real-world relationship, determine the sequence that models that relationship.

https://www.khanacademy.org/e/recursive_explicit

Standard BF.1

Common Core Area - Building Functions

Skill - Construct exponential models - Given a verbal description of the rate of change of a real world situation, find the exponential function that models it.

https://www.khanacademy.org/e/construct-exponential-models-according-to-rate-of-change

Standard BF.1

Common Core Area - Building Functions

Skill - Model with composite functions - Given two basic functions that model a real-world situation, compose them in order to model a more complex situation.

https://www.khanacademy.org/e/modeling-with-composite-functions

Standard BF.1

Common Core Area - Building Functions

Skill - Writing linear functions word problems - Find a linear function that represents a real-world relationship that is given verbally.

https://www.khanacademy.org/e/constructing-linear-functions-word-problems

Standard BF.1

Common Core Area - Building Functions

Skill - Model with function combination - Given two basic functions that model a real-world situation, combine them using the appropriate arithmetic operation in order to model a more complex situation.

https://www.khanacademy.org/e/combining-functions-with-arithmetic-operations

Standard BF.1

Common Core Area - Building Functions

https://www.khanacademy.org/e/constructing-linear-functions-word-problems

Standard BF.1

Common Core Area - Building Functions

Skill - Modeling with sinusoidal functions - Given the description of a real-world relationship, find the sinusoidal function that models it.

https://www.khanacademy.org/e/modeling-with-periodic-functions

Standard BF.1

Common Core Area - Building Functions

Skill - Linear models word problems - Solve general word problems about real-world relationships that can be modeled by linear equations or functions.

https://www.khanacademy.org/e/constructing-and-interpreting-linear-functions

Standard BF.1

Common Core Area - Building Functions

Skill - Sequences word problems - Given a verbal description of a real-world relationship, determine the sequence that models that relationship.

https://www.khanacademy.org/e/recursive_explicit

Standard BF.1

Common Core Area - Building Functions

https://www.khanacademy.org/e/construct-exponential-models-according-to-rate-of-change

Standard BF.1

Common Core Area - Building Functions

Skill - Model with composite functions - Given two basic functions that model a real-world situation, compose them in order to model a more complex situation.

https://www.khanacademy.org/e/modeling-with-composite-functions

Standard BF.1

Common Core Area - Building Functions

https://www.khanacademy.org/e/constructing-and-interpreting-linear-functions

Standard BF.1

Common Core Area - Building Functions

Skill - Sequences word problems - Given a verbal description of a real-world relationship, determine the sequence that models that relationship.

https://www.khanacademy.org/e/recursive_explicit

Standard BF.1

Common Core Area - Building Functions

Skill - Model with function combination - Given two basic functions that model a real-world situation, combine them using the appropriate arithmetic operation in order to model a more complex situation.

https://www.khanacademy.org/e/combining-functions-with-arithmetic-operations

Standard BF.1

Common Core Area - Building Functions

https://www.khanacademy.org/e/modeling-with-periodic-functions

Standard BF.1

Common Core Area - Building Functions

https://www.khanacademy.org/e/constructing-and-interpreting-linear-functions

Standard BF.1

Common Core Area - Building Functions

https://www.khanacademy.org/e/recursive_explicit

Standard BF.1

Common Core Area - Building Functions

https://www.khanacademy.org/e/construct-exponential-models-according-to-rate-of-change

Standard BF.1

Common Core Area - Building Functions

https://www.khanacademy.org/e/modeling-with-composite-functions

Standard BF.1

Common Core Area - Building Functions

https://www.khanacademy.org/e/constructing-linear-functions-word-problems

Standard BF.1

Common Core Area - Building Functions

https://www.khanacademy.org/e/combining-functions-with-arithmetic-operations

Standard BF.1

Common Core Area - Building Functions

https://www.khanacademy.org/e/modeling-with-periodic-functions

Standard BF.2

Common Core Area - Building Functions

Skill - Converting recursive & explicit forms of arithmetic sequences - Given the explicit formula of an arithmetic sequence, find its recursive formula, and vice versa.

https://www.khanacademy.org/e/explicit-and-recursive-formulas-of-arithmetic-sequences

Standard BF.2

Common Core Area - Building Functions

Skill - Explicit formulas for geometric sequences - Solve problems such as: The first four terms in a geometric sequence are 1/3, 1, 3, and 9. Find an explicit formula for the sequence.

https://www.khanacademy.org/e/sequences-as-functions

Standard BF.2

Common Core Area - Building Functions

Skill - Explicit formulas for arithmetic sequences - Solve problems such as: The first four terms in an arithmetic sequence are 12, 5, -2, and -9. Find an explicit formula for the sequence.

https://www.khanacademy.org/e/explicit-formulas-for-arithmetic-sequences

Standard BF.2

Common Core Area - Building Functions

Skill - Converting recursive & explicit forms of geometric sequences - Given the explicit formula of a geometric sequence, find its recursive formula, and vice versa.

https://www.khanacademy.org/e/explicit-and-recursive-formulas-of-geometric-sequences

Standard BF.2

Common Core Area - Building Functions

https://www.khanacademy.org/e/recursive_explicit

Standard BF.2

Common Core Area - Building Functions

Skill - Recursive formulas for geometric sequences - Find the recursive formula of a geometric sequence given the first few terms or given an explicit formula.

https://www.khanacademy.org/e/recursive-formulas-for-geometric-sequences

Standard BF.2

Common Core Area - Building Functions

Skill - Recursive formulas for arithmetic sequences - Find the recursive formula of an arithmetic sequence given the first few terms.

https://www.khanacademy.org/e/recursive-formulas-for-arithmetic-sequences

Standard BF.3

Common Core Area - Building Functions

Skill - Even & odd functions - Given the graph of a function, determine if it's even, odd, or neither.

https://www.khanacademy.org/e/even_and_odd_functions

Standard BF.3

Common Core Area - Building Functions

Skill - Shift functions - Shift functions horizontally and vertically, and practice the relationship between the graphical and the algebraic representations of those shifts.

https://www.khanacademy.org/e/shift-functions

Standard BF.3

Common Core Area - Building Functions

Skill - Construct sinusoidal functions - Given a few features of a sinusoidal function, find its formula.

https://www.khanacademy.org/e/construct-sinusoidal-functions

Standard BF.3

Common Core Area - Building Functions

Skill - Radical functions & their graphs - Given the formula of a square-root or a cube-root function, find the appropriate graph.

https://www.khanacademy.org/e/graphs-of-radical-functions

Standard BF.3

Common Core Area - Building Functions

Skill - Graphs of logarithmic functions - Graph logarithmic functions and find the appropriate graph given the function.

https://www.khanacademy.org/e/graphs-of-exponentials-and-logarithms

Standard BF.3

Common Core Area - Building Functions

Skill - Graph sinusoidal functions - Given the formula of a sinusoidal function of the form a*f(bx)+d, draw its graph.

https://www.khanacademy.org/e/graphs_of_sine_and_cosine

Standard BF.3

Common Core Area - Building Functions

Skill - Even & odd polynomials - Given the formula of a polynomial function, determine whether that function is even, odd, or neither.

https://www.khanacademy.org/e/determine-if-a-polynomial-is-even-or-odd

Standard BF.3

Common Core Area - Building Functions

Skill - Graphs of exponential functions - Graph exponential functions and find the appropriate graph given the function.

https://www.khanacademy.org/e/graphs-of-exponential-functions

Standard BF.3

Common Core Area - Building Functions

Skill - Transforming functions - Given the graphs of functions f and g where g is a transformation of f, determine the formula of g in terms of f.

https://www.khanacademy.org/e/shifting_and_reflecting_functions

Standard BF.4

Common Core Area - Building Functions

Skill - Determine if a function is invertible - Given the table of values of a function, determine whether it is invertible or not.

https://www.khanacademy.org/e/inverse-domain-range

Standard BF.4

Common Core Area - Building Functions

Skill - Evaluate inverse functions - Practice evaluating the inverse function of a function that is given either as a formula, or as a graph, or as a table of values.

https://www.khanacademy.org/e/understanding-inverse-functions

Standard BF.4

Common Core Area - Building Functions

Skill - Verify inverse functions - Given the formulas of two functions, compose the functions and determine whether they are inverses of each other.

https://www.khanacademy.org/e/inverses_of_functions

Standard BF.4

Common Core Area - Building Functions

Skill - Restrict domains of functions to make them invertible - Given the graph of a function, find ways to restrict its domain in order to make it invertible.

https://www.khanacademy.org/e/restrict-the-domains-of-functions

Standard BF.4

Common Core Area - Building Functions

Skill - Find inverse functions - Practice finding the formula of the inverse function of a given polynomial, radical, or rational function.

https://www.khanacademy.org/e/algebraically-finding-inverses

Standard BF.4

Common Core Area - Building Functions

Skill - Verify inverse functions - Given the formulas of two functions, compose the functions and determine whether they are inverses of each other.

https://www.khanacademy.org/e/inverses_of_functions

Standard BF.4

Common Core Area - Building Functions

Skill - Determine if a function is invertible - Given the table of values of a function, determine whether it is invertible or not.

https://www.khanacademy.org/e/inverse-domain-range

Standard BF.4

Common Core Area - Building Functions

Skill - Find inverse functions - Practice finding the formula of the inverse function of a given polynomial, radical, or rational function.

https://www.khanacademy.org/e/algebraically-finding-inverses

Standard BF.4

Common Core Area - Building Functions

Skill - Restrict domains of functions to make them invertible - Given the graph of a function, find ways to restrict its domain in order to make it invertible.

https://www.khanacademy.org/e/restrict-the-domains-of-functions

Standard BF.4

Common Core Area - Building Functions

Skill - Verify inverse functions - Given the formulas of two functions, compose the functions and determine whether they are inverses of each other.

https://www.khanacademy.org/e/inverses_of_functions

Standard BF.4

Common Core Area - Building Functions

Skill - Restrict domains of functions to make them invertible - Given the graph of a function, find ways to restrict its domain in order to make it invertible.

https://www.khanacademy.org/e/restrict-the-domains-of-functions

Standard BF.4

Common Core Area - Building Functions

https://www.khanacademy.org/e/inverses_of_functions

Standard BF.4

Common Core Area - Building Functions

Skill - Find inverse functions - Practice finding the formula of the inverse function of a given polynomial, radical, or rational function.

https://www.khanacademy.org/e/algebraically-finding-inverses

Standard BF.4

Common Core Area - Building Functions

Skill - Determine if a function is invertible - Given the table of values of a function, determine whether it is invertible or not.

https://www.khanacademy.org/e/inverse-domain-range

Standard BF.4

Common Core Area - Building Functions

Skill - Evaluate inverse functions - Practice evaluating the inverse function of a function that is given either as a formula, or as a graph, or as a table of values.

https://www.khanacademy.org/e/understanding-inverse-functions

Standard BF.4

Common Core Area - Building Functions

https://www.khanacademy.org/e/inverses_of_functions

Standard BF.4

Common Core Area - Building Functions

https://www.khanacademy.org/e/restrict-the-domains-of-functions

Standard BF.4

Common Core Area - Building Functions

https://www.khanacademy.org/e/algebraically-finding-inverses

Standard BF.4

Common Core Area - Building Functions

https://www.khanacademy.org/e/inverse-domain-range

Standard BF.4

Common Core Area - Building Functions

Skill - Evaluate inverse functions - Practice evaluating the inverse function of a function that is given either as a formula, or as a graph, or as a table of values.

https://www.khanacademy.org/e/understanding-inverse-functions

Standard BF.4

Common Core Area - Building Functions

https://www.khanacademy.org/e/restrict-the-domains-of-functions

Standard BF.4

Common Core Area - Building Functions

https://www.khanacademy.org/e/algebraically-finding-inverses

Standard BF.4

Common Core Area - Building Functions

https://www.khanacademy.org/e/inverse-domain-range

Standard BF.4

Common Core Area - Building Functions

https://www.khanacademy.org/e/understanding-inverse-functions

Standard BF.4

Common Core Area - Building Functions

https://www.khanacademy.org/e/understanding-inverse-functions

Standard BF.5

Common Core Area - Building Functions

Skill - Relationship between exponentials & logarithms - Solve various problems that focus on the relationship between a^x=b and log_a(b)=x.

https://www.khanacademy.org/e/understanding-logs-as-inverse-exponentials

Standard BF.5

Common Core Area - Building Functions

Skill - Evaluate logarithms - Evaluate basic logarithmic expressions by using the fact that a^x=b is equivalent to log_a(b)=x.

https://www.khanacademy.org/e/logarithms_1

Standard BF.5

Common Core Area - Building Functions

Skill - Evaluate logarithms (advanced) - Evaluate advanced logarithmic expressions by using the fact that a^x=b is equivalent to log_a(b)=x.

Standard IF.1

Common Core Area - Interpreting Functions

Skill - Function inputs & outputs: graph - Find all the inputs that correspond to a given function output, using the function's graph.

https://www.khanacademy.org/e/match-inputs-to-outputs-from-a-graph

Standard IF.1

Common Core Area - Interpreting Functions

Skill - Function inputs & outputs: equation - Find all the inputs that correspond to a given function output, using the function's formula.

https://www.khanacademy.org/e/functions_matching_inputs_outputs

Standard IF.1

Common Core Area - Interpreting Functions

Skill - Function rules from equations - Create functions that match one variable to the other in a two-variable equation.

https://www.khanacademy.org/e/functions-from-equations

Standard IF.1

Common Core Area - Interpreting Functions

Skill - Recognize functions from tables - Determine whether a table of values of a relationship represents a function.

https://www.khanacademy.org/e/recognizing_functions

Standard IF.1

Common Core Area - Interpreting Functions

Skill - Domain of advanced functions - Determine the domain of functions whose expressions are a combination of different types of assignment rules.

https://www.khanacademy.org/e/domain_of_a_function

Standard IF.1

Common Core Area - Interpreting Functions

Skill - Recognize functions from graphs - Determine whether a given graph represents a function.

https://www.khanacademy.org/e/recog-func-2

Standard IF.1

Common Core Area - Interpreting Functions

Skill - Domain of advanced piecewise functions - Determine the domain of piecewise functions whose assignment rules have different expression types.

https://www.khanacademy.org/e/determine-the-domain-of-advanced-piecewise-functions

Standard IF.1

Common Core Area - Interpreting Functions

Skill - Range of quadratic functions - Given the equation of a quadratic function, determine its range.

https://www.khanacademy.org/e/range_of_a_function

Standard IF.1

Common Core Area - Interpreting Functions

Skill - Evaluate functions from their graph - Evaluate functions for specific inputs given the graph of the function.

https://www.khanacademy.org/e/evaluate-functions-from-their-graph

Standard IF.1

Common Core Area - Interpreting Functions

Skill - Evaluate function expressions - Evaluate expressions that contain function notation, given the functions' graphs.

https://www.khanacademy.org/e/functions_2

Standard IF.2

Common Core Area - Interpreting Functions

Skill - Evaluate sequences in recursive form - Find the first few terms of sequences that are defined recursively.

https://www.khanacademy.org/e/evaluating-sequences-in-recursive-form

Standard IF.2

Common Core Area - Interpreting Functions

Skill - Function inputs & outputs: equation - Find all the inputs that correspond to a given function output, using the function's formula.

https://www.khanacademy.org/e/functions_matching_inputs_outputs

Standard IF.2

Common Core Area - Interpreting Functions

Skill - Evaluate step functions - Given the graph of a step function, find the function's outputs for given specific inputs.

https://www.khanacademy.org/e/evaluate-step-functions-from-their-graph

Standard IF.2

Common Core Area - Interpreting Functions

Skill - Use arithmetic sequence formulas - Given the formula of an arithmetic sequence, either in explicit form or in recursive form, find a specific term in the sequence.

https://www.khanacademy.org/e/arithmetic_sequences_2

Standard IF.2

Common Core Area - Interpreting Functions

Skill - Function notation word problems - Interpret expressions with function notation in terms of the context that the function models.

https://www.khanacademy.org/e/function-notation-in-context

Standard IF.2

Common Core Area - Interpreting Functions

Skill - Evaluate functions from their graph - Evaluate functions for specific inputs given the graph of the function.

https://www.khanacademy.org/e/evaluate-functions-from-their-graph

Standard IF.2

Common Core Area - Interpreting Functions

Skill - Evaluate piecewise functions - Given the formula of a piecewise function, evaluate it for a specific input.

https://www.khanacademy.org/e/evaluating-piecewise-functions

Standard IF.2

Common Core Area - Interpreting Functions

Skill - Use geometric sequence formulas - Given the formula of a geometric sequence, either in explicit form or in recursive form, find a specific term in the sequence.

https://www.khanacademy.org/e/geometric_sequences_2

Standard IF.2

Common Core Area - Interpreting Functions

Skill - Function inputs & outputs: graph - Find all the inputs that correspond to a given function output, using the function's graph.

https://www.khanacademy.org/e/match-inputs-to-outputs-from-a-graph

Standard IF.2

Common Core Area - Interpreting Functions

Skill - Evaluate function expressions - Evaluate expressions that contain function notation, given the functions' graphs.

https://www.khanacademy.org/e/functions_2

Standard IF.2

Common Core Area - Interpreting Functions

Skill - Evaluate functions - Evaluate functions for specific inputs given the formula of the function.

https://www.khanacademy.org/e/functions_1

Standard IF.3

Common Core Area - Interpreting Functions

Skill - Extend geometric sequences - Given the first few terms in a geometric sequence, find the next term in the sequence.

https://www.khanacademy.org/e/geometric_sequences_1

Standard IF.3

Common Core Area - Interpreting Functions

Skill - Extend geometric sequences: negatives & fractions - Find the next term in a geometric sequence. The problems in this quiz involve relatively difficult calculations.

https://www.khanacademy.org/e/extend-geometric-sequences-negatives-fractions

Standard IF.3

Common Core Area - Interpreting Functions

Skill - Use arithmetic sequence formulas - Given the formula of an arithmetic sequence, either in explicit form or in recursive form, find a specific term in the sequence.

https://www.khanacademy.org/e/arithmetic_sequences_2

Standard IF.3

Common Core Area - Interpreting Functions

Skill - Use geometric sequence formulas - Given the formula of a geometric sequence, either in explicit form or in recursive form, find a specific term in the sequence.

https://www.khanacademy.org/e/geometric_sequences_2

Standard IF.3

Common Core Area - Interpreting Functions

Skill - Extend arithmetic sequences - Given the first few terms in an arithmetic sequence, find the next term in the sequence.

https://www.khanacademy.org/e/arithmetic_sequences_1

Standard IF.4

Common Core Area - Interpreting Functions

https://www.khanacademy.org/e/constructing-and-interpreting-linear-functions

Standard IF.4

Common Core Area - Interpreting Functions

Skill - Graph interpretation word problems - Match features of graphs of modeling functions to their real-world meaning.

https://www.khanacademy.org/e/interpret-features-func-2

Standard IF.4

Common Core Area - Interpreting Functions

Skill - End behavior of algebraic models - Given the graph that models a real world context, answer a question about the end behavior of the graph.

https://www.khanacademy.org/e/recog-features-func-2

Standard IF.4

Common Core Area - Interpreting Functions

Skill - Linear equations word problems: graphs - Solve word problems about real world relationships that are given in graphs.

https://www.khanacademy.org/e/interpreting-linear-graphs

Standard IF.4

Common Core Area - Interpreting Functions

https://www.khanacademy.org/e/key-features-quadratics

Standard IF.4

Common Core Area - Interpreting Functions

Skill - Comparing linear functions word problem - Compare features of two real-world relationships that can be modeled by linear functions, where the functions are represented in different ways.

https://www.khanacademy.org/e/comparing-features-of-functions-1

Standard IF.4

Common Core Area - Interpreting Functions

Skill - Periodicity of algebraic models - Given the graph that models a real world context, answer a question about the periodicity of the graph.

https://www.khanacademy.org/e/interpret-the-periodicity-of-modeling-functions

Standard IF.4

Common Core Area - Interpreting Functions

Skill - Linear equations word problems: tables - Solve word problems about real world relationships that are given in tables.

https://www.khanacademy.org/e/interpreting-tables

Standard IF.5

Common Core Area - Interpreting Functions

Skill - Determine the domain of functions - Determine the domain of a function according to the algebraic limitations of that function.

https://www.khanacademy.org/e/domain-of-algebraic-functions

Standard IF.5

Common Core Area - Interpreting Functions

Skill - Function domain word problems - Use information about a situation to figure out the domain of the function which models it.

https://www.khanacademy.org/e/interpreting-domain

Standard IF.5

Common Core Area - Interpreting Functions

Skill - Domain and range from graph - Given the graph of a function, determine its domain or range.

https://www.khanacademy.org/e/domain_and_range_0.5

Standard IF.6

Common Core Area - Interpreting Functions

Skill - Average rate of change word problems - Find and represent the average rate of change of a real-world relationship.

https://www.khanacademy.org/e/average-rate-of-change-word-problems

Standard IF.6

Common Core Area - Interpreting Functions

Skill - Average rate of change: graphs & tables - Find a function's average rate of change over a specific interval, given the function's graph or a table of values.

https://www.khanacademy.org/e/avg-rate-of-change-graphs-tables

Standard IF.6

Common Core Area - Interpreting Functions

Skill - Average rate of change - Find the average rate of change of a function over a given interval.

https://www.khanacademy.org/e/avg-rate-of-change

Standard IF.7

Common Core Area - Interpreting Functions

Skill - Positive & negative intervals of polynomials - Given a polynomial, determine the intervals in which it is positive or negative.

https://www.khanacademy.org/e/positive-and-negative-intervals-of-polynomials

Standard IF.7

Common Core Area - Interpreting Functions

Skill - Increasing and decreasing intervals - Highlight intervals on the domain of a function where it's only increasing or only decreasing.

https://www.khanacademy.org/e/increasing-decreasing-intervals-of-functions

Standard IF.7

Common Core Area - Interpreting Functions

Skill - Graph quadratics in factored form - Graph quadratic functions that are given in factored form. For example, graph y=(x-4)(x+2).

https://www.khanacademy.org/e/graph-quadratic-functions-in-factored-form

Standard IF.7

Common Core Area - Interpreting Functions

Skill - Radical functions & their graphs - Given the formula of a square-root or a cube-root function, find the appropriate graph.

https://www.khanacademy.org/e/graphs-of-radical-functions

Standard IF.7

Common Core Area - Interpreting Functions

Skill - Intercepts from a table - Find the intercepts of a line given a table of values.

https://www.khanacademy.org/e/intercepts-from-table

Standard IF.7

Common Core Area - Interpreting Functions

Skill - Amplitude of sinusoidal functions from equation - Given the formula of a sinusoidal function, determine its amplitude.

https://www.khanacademy.org/e/find-amplitude-of-a-sinusoid-from-formula

Standard IF.7

Common Core Area - Interpreting Functions

Skill - Positive and negative intervals - Highlight intervals on the domain of a function where it's entirely positive or entirely negative.

https://www.khanacademy.org/e/positive_and_negative_parts_of_functions

Standard IF.7

Common Core Area - Interpreting Functions

Skill - Midline of sinusoidal functions from equation - Given the formula of a sinusoidal function, determine its midline equation.

https://www.khanacademy.org/e/find-midline-of-a-sinusoid-from-formula

Standard IF.7

Common Core Area - Interpreting Functions

Skill - Amplitude of sinusoidal functions from graph - Given the graph of a sinusoidal function, determine its amplitude.

https://www.khanacademy.org/e/amplitude-of-trig-functions

Standard IF.7

Common Core Area - Interpreting Functions

Skill - Graph sinusoidal functions - Given the formula of a sinusoidal function of the form a*f(bx)+d, draw its graph.

https://www.khanacademy.org/e/graphs_of_sine_and_cosine

Standard IF.7

Common Core Area - Interpreting Functions

Skill - Analyze vertical asymptotes of rational functions - Given the formula of a rational function, determine how it behaves around its vertical asymptote.

https://www.khanacademy.org/e/analyze-vertical-asymptotes-of-rational-functions

Standard IF.7

Common Core Area - Interpreting Functions

https://www.khanacademy.org/e/graphing_parabolas_0.5

Standard IF.7

Common Core Area - Interpreting Functions

Skill - Slope-intercept intro - Practice your basic understanding of slope-intercept form for linear equations.

https://www.khanacademy.org/e/slope-from-an-equation-in-slope-intercept-form

Standard IF.7

Common Core Area - Interpreting Functions

Skill - Slope from two points - Find the slope of the line that goes through the two points that are given to you.

https://www.khanacademy.org/e/slope-from-two-points

Standard IF.7

Common Core Area - Interpreting Functions

Skill - Graph absolute value functions - Graph absolute value functions like f(x)=|x+3|+2.

https://www.khanacademy.org/e/graphs-of-absolute-value-functions

Standard IF.7

Common Core Area - Interpreting Functions

Skill - Absolute maxima and minima - Given the graph of a function, find its absolute maximum and minimum points.

https://www.khanacademy.org/e/recognize-absolute-maxima-and-minima

Standard IF.7

Common Core Area - Interpreting Functions

Skill - Graphing linear functions word problems - Graph the line that represents a real-world relationship that is given verbally.

https://www.khanacademy.org/e/graphing-linear-functions-word-problems

Standard IF.7

Common Core Area - Interpreting Functions

Skill - Evaluate piecewise functions - Given the formula of a piecewise function, evaluate it for a specific input.

https://www.khanacademy.org/e/evaluating-piecewise-functions

Standard IF.7

Common Core Area - Interpreting Functions

Skill - Horizontal & vertical lines - Practice your knowledge of horizontal and vertical lines: their graphical presentation, their slopes, and their equations.

https://www.khanacademy.org/e/horizontal-and-vertical-lines

Standard IF.7

Common Core Area - Interpreting Functions

Skill - Piecewise functions graphs - Match the formula of a piecewise function to its graph.

https://www.khanacademy.org/e/piecewise-graphs-linear

Standard IF.7

Common Core Area - Interpreting Functions

Skill - Midline of sinusoidal functions from graph - Given the graph of a sinusoidal function, determine its midline equation.

https://www.khanacademy.org/e/midline-of-trig-functions

Standard IF.7

Common Core Area - Interpreting Functions

Skill - Slope-intercept intro - Practice your basic understanding of slope-intercept form for linear equations.

https://www.khanacademy.org/e/slope-from-an-equation-in-slope-intercept-form

Standard IF.7

Common Core Area - Interpreting Functions

Skill - Graph quadratics in factored form - Graph quadratic functions that are given in factored form. For example, graph y=(x-4)(x+2).

https://www.khanacademy.org/e/graph-quadratic-functions-in-factored-form

Standard IF.7

Common Core Area - Interpreting Functions

Skill - Radical functions & their graphs - Given the formula of a square-root or a cube-root function, find the appropriate graph.

https://www.khanacademy.org/e/graphs-of-radical-functions

Standard IF.7

Common Core Area - Interpreting Functions

Skill - Intercepts from a table - Find the intercepts of a line given a table of values.

https://www.khanacademy.org/e/intercepts-from-table

Standard IF.7

Common Core Area - Interpreting Functions

Skill - Amplitude of sinusoidal functions from equation - Given the formula of a sinusoidal function, determine its amplitude.

https://www.khanacademy.org/e/find-amplitude-of-a-sinusoid-from-formula

Standard IF.7

Common Core Area - Interpreting Functions

Skill - Positive and negative intervals - Highlight intervals on the domain of a function where it's entirely positive or entirely negative.

https://www.khanacademy.org/e/positive_and_negative_parts_of_functions

Standard IF.7

Common Core Area - Interpreting Functions

Skill - Midline of sinusoidal functions from equation - Given the formula of a sinusoidal function, determine its midline equation.

https://www.khanacademy.org/e/find-midline-of-a-sinusoid-from-formula

Standard IF.7

Common Core Area - Interpreting Functions

Skill - Amplitude of sinusoidal functions from graph - Given the graph of a sinusoidal function, determine its amplitude.

https://www.khanacademy.org/e/amplitude-of-trig-functions

Standard IF.7

Common Core Area - Interpreting Functions

Skill - Graph sinusoidal functions - Given the formula of a sinusoidal function of the form a*f(bx)+d, draw its graph.

https://www.khanacademy.org/e/graphs_of_sine_and_cosine

Standard IF.7

Common Core Area - Interpreting Functions

Skill - Analyze vertical asymptotes of rational functions - Given the formula of a rational function, determine how it behaves around its vertical asymptote.

https://www.khanacademy.org/e/analyze-vertical-asymptotes-of-rational-functions

Standard IF.7

Common Core Area - Interpreting Functions

https://www.khanacademy.org/e/graphing_parabolas_0.5

Standard IF.7

Common Core Area - Interpreting Functions

Skill - Positive & negative intervals of polynomials - Given a polynomial, determine the intervals in which it is positive or negative.

https://www.khanacademy.org/e/positive-and-negative-intervals-of-polynomials

Standard IF.7

Common Core Area - Interpreting Functions

Skill - Slope from two points - Find the slope of the line that goes through the two points that are given to you.

https://www.khanacademy.org/e/slope-from-two-points

Standard IF.7

Common Core Area - Interpreting Functions

Skill - Graph absolute value functions - Graph absolute value functions like f(x)=|x+3|+2.

https://www.khanacademy.org/e/graphs-of-absolute-value-functions

Standard IF.7

Common Core Area - Interpreting Functions

Skill - Absolute maxima and minima - Given the graph of a function, find its absolute maximum and minimum points.

https://www.khanacademy.org/e/recognize-absolute-maxima-and-minima

Standard IF.7

Common Core Area - Interpreting Functions

Skill - Graphing linear functions word problems - Graph the line that represents a real-world relationship that is given verbally.

https://www.khanacademy.org/e/graphing-linear-functions-word-problems

Standard IF.7

Common Core Area - Interpreting Functions

Skill - Evaluate piecewise functions - Given the formula of a piecewise function, evaluate it for a specific input.

https://www.khanacademy.org/e/evaluating-piecewise-functions

Standard IF.7

Common Core Area - Interpreting Functions

Skill - Horizontal & vertical lines - Practice your knowledge of horizontal and vertical lines: their graphical presentation, their slopes, and their equations.

https://www.khanacademy.org/e/horizontal-and-vertical-lines

Standard IF.7

Common Core Area - Interpreting Functions

Skill - Piecewise functions graphs - Match the formula of a piecewise function to its graph.

https://www.khanacademy.org/e/piecewise-graphs-linear

Standard IF.7

Common Core Area - Interpreting Functions

Skill - Midline of sinusoidal functions from graph - Given the graph of a sinusoidal function, determine its midline equation.

https://www.khanacademy.org/e/midline-of-trig-functions

Standard IF.7

Common Core Area - Interpreting Functions

Skill - Relative maxima and minima - Given the graph of a function, find all of its relative maximum and minimum points.

https://www.khanacademy.org/e/recognize-maxima-and-minima

Standard IF.7

Common Core Area - Interpreting Functions

Skill - Horizontal & vertical lines - Practice your knowledge of horizontal and vertical lines: their graphical presentation, their slopes, and their equations.

https://www.khanacademy.org/e/horizontal-and-vertical-lines

Standard IF.7

Common Core Area - Interpreting Functions

Skill - Evaluate step functions - Given the graph of a step function, find the function's outputs for given specific inputs.

https://www.khanacademy.org/e/evaluate-step-functions-from-their-graph

Standard IF.7

Common Core Area - Interpreting Functions

Skill - Increasing and decreasing intervals - Highlight intervals on the domain of a function where it's only increasing or only decreasing.

https://www.khanacademy.org/e/increasing-decreasing-intervals-of-functions

Standard IF.7

Common Core Area - Interpreting Functions

https://www.khanacademy.org/e/using-zeros-to-graph-polynomials

Standard IF.7

Common Core Area - Interpreting Functions

Skill - Rational function points of discontinuity - Given a rational function, sort given input values according to zeros, vertical asymptotes, and removable discontinuities.

https://www.khanacademy.org/e/points-of-discontinuity-of-rational-functions

Standard IF.7

Common Core Area - Interpreting Functions

https://www.khanacademy.org/e/slope-from-an-equation-in-standard-form

Standard IF.7

Common Core Area - Interpreting Functions

Skill - Graphs of logarithmic functions - Graph logarithmic functions and find the appropriate graph given the function.

https://www.khanacademy.org/e/graphs-of-exponentials-and-logarithms

Standard IF.7

Common Core Area - Interpreting Functions

Skill - End behavior of rational functions - Given a rational function, determine how it behaves as x approaches +âˆž or -âˆž.

https://www.khanacademy.org/e/end-behavior-of-rational-functions

Standard IF.7

Common Core Area - Interpreting Functions

Skill - End behavior of polynomials - Analyze polynomial functions to determine how they behave as the input variable increases to positive infinity or decreases to negative infinity.

https://www.khanacademy.org/e/determine-the-end-behavior-of-polynomials

Standard IF.7

Common Core Area - Interpreting Functions

Skill - Graph parabolas in all forms - Graph quadratic functions given in any form.

https://www.khanacademy.org/e/graphing_parabolas_2

Standard IF.7

Common Core Area - Interpreting Functions

Skill - Intercepts from a graph - Look at the graph of an equation to find x-intercepts and y-intercepts

https://www.khanacademy.org/e/linear-function-intercepts

Standard IF.7

Common Core Area - Interpreting Functions

Skill - Graphs of exponential functions - Graph exponential functions and find the appropriate graph given the function.

https://www.khanacademy.org/e/graphs-of-exponential-functions

Standard IF.7

Common Core Area - Interpreting Functions

Skill - Relative maxima and minima - Given the graph of a function, find all of its relative maximum and minimum points.

https://www.khanacademy.org/e/recognize-maxima-and-minima

Standard IF.7

Common Core Area - Interpreting Functions

Skill - Graph quadratics in vertex form - Graph quadratic functions that are given in the vertex form a(x+b)²+c. For example, graph y=-2(x-2)²+5.

https://www.khanacademy.org/e/graphing_parabolas_1

Standard IF.7

Common Core Area - Interpreting Functions

Skill - Graphs of rational functions - Determine which of four graphs fits the formula of a given function.

https://www.khanacademy.org/e/graphs-of-rational-functions

Standard IF.7

Common Core Area - Interpreting Functions

Skill - Graph from linear standard form - Find the graph of a linear equation given in standard form.

https://www.khanacademy.org/e/graph-from-standard-form-equation

Standard IF.7

Common Core Area - Interpreting Functions

Skill - Period of sinusoidal functions from graph - Given the graph of a sinusoidal function, determine its period.

https://www.khanacademy.org/e/period-of-trig-functions

Standard IF.7

Common Core Area - Interpreting Functions

Skill - Graphing exponential growth & decay - Graph exponential functions of the basic form f(x)=aâ‹…rË£.

https://www.khanacademy.org/e/graphs-of-basic-exponential-functions

Standard IF.7

Common Core Area - Interpreting Functions

Skill - Period of sinusoidal functions from equation - Given the formula of a sinusoidal function, determine its period.

https://www.khanacademy.org/e/find-period-of-a-sinusoid-from-formula

Standard IF.7

Common Core Area - Interpreting Functions

Skill - Graphs of nonlinear piecewise functions - Given the graph of a nonlinear piecewise function, find its formula.

https://www.khanacademy.org/e/graphing-piecewise-functions

Standard IF.7

Common Core Area - Interpreting Functions

Skill - Intercepts from an equation - Solve linear equations for the x-intercept and y-intercept

https://www.khanacademy.org/e/solving_for_the_x-intercept

Standard IF.7

Common Core Area - Interpreting Functions

Skill - Graph from slope-intercept form - Practice drawing the graph of a line given in slope-intercept form. For example, graph y = 3x + 2.

https://www.khanacademy.org/e/graph-from-slope-intercept-equation

Standard IF.7

Common Core Area - Interpreting Functions

Skill - Graphs of rational functions - Determine which of four graphs fits the formula of a given function.

https://www.khanacademy.org/e/graphs-of-rational-functions

Standard IF.7

Common Core Area - Interpreting Functions

Skill - Amplitude of sinusoidal functions from graph - Given the graph of a sinusoidal function, determine its amplitude.

https://www.khanacademy.org/e/amplitude-of-trig-functions

Standard IF.7

Common Core Area - Interpreting Functions

Skill - Midline of sinusoidal functions from equation - Given the formula of a sinusoidal function, determine its midline equation.

https://www.khanacademy.org/e/find-midline-of-a-sinusoid-from-formula

Standard IF.7

Common Core Area - Interpreting Functions

Skill - Positive and negative intervals - Highlight intervals on the domain of a function where it's entirely positive or entirely negative.

https://www.khanacademy.org/e/positive_and_negative_parts_of_functions

Standard IF.7

Common Core Area - Interpreting Functions

Skill - Amplitude of sinusoidal functions from equation - Given the formula of a sinusoidal function, determine its amplitude.

https://www.khanacademy.org/e/find-amplitude-of-a-sinusoid-from-formula

Standard IF.7

Common Core Area - Interpreting Functions

Skill - Intercepts from a table - Find the intercepts of a line given a table of values.

https://www.khanacademy.org/e/intercepts-from-table

Standard IF.7

Common Core Area - Interpreting Functions

https://www.khanacademy.org/e/graphs-of-radical-functions

Standard IF.7

Common Core Area - Interpreting Functions

Skill - Graph quadratics in factored form - Graph quadratic functions that are given in factored form. For example, graph y=(x-4)(x+2).

https://www.khanacademy.org/e/graph-quadratic-functions-in-factored-form

Standard IF.7

Common Core Area - Interpreting Functions

https://www.khanacademy.org/e/positive-and-negative-intervals-of-polynomials

Standard IF.7

Common Core Area - Interpreting Functions

Skill - Graph from slope-intercept form - Practice drawing the graph of a line given in slope-intercept form. For example, graph y = 3x + 2.

https://www.khanacademy.org/e/graph-from-slope-intercept-equation

Standard IF.7

Common Core Area - Interpreting Functions

Skill - Intercepts from an equation - Solve linear equations for the x-intercept and y-intercept

https://www.khanacademy.org/e/solving_for_the_x-intercept

Standard IF.7

Common Core Area - Interpreting Functions

Skill - Graphs of nonlinear piecewise functions - Given the graph of a nonlinear piecewise function, find its formula.

https://www.khanacademy.org/e/graphing-piecewise-functions

Standard IF.7

Common Core Area - Interpreting Functions

Skill - Period of sinusoidal functions from equation - Given the formula of a sinusoidal function, determine its period.

https://www.khanacademy.org/e/find-period-of-a-sinusoid-from-formula

Standard IF.7

Common Core Area - Interpreting Functions

Skill - Graphing exponential growth & decay - Graph exponential functions of the basic form f(x)=aâ‹…rË£.

https://www.khanacademy.org/e/graphs-of-basic-exponential-functions

Standard IF.7

Common Core Area - Interpreting Functions

Skill - Period of sinusoidal functions from graph - Given the graph of a sinusoidal function, determine its period.

https://www.khanacademy.org/e/period-of-trig-functions

Standard IF.7

Common Core Area - Interpreting Functions

Skill - Graph from linear standard form - Find the graph of a linear equation given in standard form.

https://www.khanacademy.org/e/graph-from-standard-form-equation

Standard IF.7

Common Core Area - Interpreting Functions

https://www.khanacademy.org/e/graphs_of_sine_and_cosine

Standard IF.7

Common Core Area - Interpreting Functions

Skill - Graph quadratics in vertex form - Graph quadratic functions that are given in the vertex form a(x+b)²+c. For example, graph y=-2(x-2)²+5.

https://www.khanacademy.org/e/graphing_parabolas_1

Standard IF.7

Common Core Area - Interpreting Functions

Skill - Evaluate step functions - Given the graph of a step function, find the function's outputs for given specific inputs.

https://www.khanacademy.org/e/evaluate-step-functions-from-their-graph

Standard IF.7

Common Core Area - Interpreting Functions

Skill - Graphs of exponential functions - Graph exponential functions and find the appropriate graph given the function.

https://www.khanacademy.org/e/graphs-of-exponential-functions

Standard IF.7

Common Core Area - Interpreting Functions

Skill - Intercepts from a graph - Look at the graph of an equation to find x-intercepts and y-intercepts

https://www.khanacademy.org/e/linear-function-intercepts

Standard IF.7

Common Core Area - Interpreting Functions

Skill - Graph parabolas in all forms - Graph quadratic functions given in any form.

https://www.khanacademy.org/e/graphing_parabolas_2

Standard IF.7

Common Core Area - Interpreting Functions

Skill - End behavior of polynomials - Analyze polynomial functions to determine how they behave as the input variable increases to positive infinity or decreases to negative infinity.

https://www.khanacademy.org/e/determine-the-end-behavior-of-polynomials

Standard IF.7

Common Core Area - Interpreting Functions

Skill - End behavior of rational functions - Given a rational function, determine how it behaves as x approaches +âˆž or -âˆž.

https://www.khanacademy.org/e/end-behavior-of-rational-functions

Standard IF.7

Common Core Area - Interpreting Functions

Skill - Graphs of logarithmic functions - Graph logarithmic functions and find the appropriate graph given the function.

https://www.khanacademy.org/e/graphs-of-exponentials-and-logarithms

Standard IF.7

Common Core Area - Interpreting Functions

https://www.khanacademy.org/e/slope-from-an-equation-in-standard-form

Standard IF.7

Common Core Area - Interpreting Functions

Skill - Rational function points of discontinuity - Given a rational function, sort given input values according to zeros, vertical asymptotes, and removable discontinuities.

https://www.khanacademy.org/e/points-of-discontinuity-of-rational-functions

Standard IF.7

Common Core Area - Interpreting Functions

https://www.khanacademy.org/e/using-zeros-to-graph-polynomials

Standard IF.7

Common Core Area - Interpreting Functions

Skill - Increasing and decreasing intervals - Highlight intervals on the domain of a function where it's only increasing or only decreasing.

https://www.khanacademy.org/e/increasing-decreasing-intervals-of-functions

Standard IF.7

Common Core Area - Interpreting Functions

Skill - Relative maxima and minima - Given the graph of a function, find all of its relative maximum and minimum points.

https://www.khanacademy.org/e/recognize-maxima-and-minima

Standard IF.7

Common Core Area - Interpreting Functions

Skill - Midline of sinusoidal functions from graph - Given the graph of a sinusoidal function, determine its midline equation.

https://www.khanacademy.org/e/midline-of-trig-functions

Standard IF.7

Common Core Area - Interpreting Functions

Skill - Piecewise functions graphs - Match the formula of a piecewise function to its graph.

https://www.khanacademy.org/e/piecewise-graphs-linear

Standard IF.7

Common Core Area - Interpreting Functions

https://www.khanacademy.org/e/slope-from-an-equation-in-standard-form

Standard IF.7

Common Core Area - Interpreting Functions

Skill - Intercepts from an equation - Solve linear equations for the x-intercept and y-intercept

https://www.khanacademy.org/e/solving_for_the_x-intercept

Standard IF.7

Common Core Area - Interpreting Functions

Skill - Graphs of nonlinear piecewise functions - Given the graph of a nonlinear piecewise function, find its formula.

https://www.khanacademy.org/e/graphing-piecewise-functions

Standard IF.7

Common Core Area - Interpreting Functions

Skill - Period of sinusoidal functions from equation - Given the formula of a sinusoidal function, determine its period.

https://www.khanacademy.org/e/find-period-of-a-sinusoid-from-formula

Standard IF.7

Common Core Area - Interpreting Functions

Skill - Graphing exponential growth & decay - Graph exponential functions of the basic form f(x)=aâ‹…rË£.

https://www.khanacademy.org/e/graphs-of-basic-exponential-functions

Standard IF.7

Common Core Area - Interpreting Functions

Skill - Period of sinusoidal functions from graph - Given the graph of a sinusoidal function, determine its period.

https://www.khanacademy.org/e/period-of-trig-functions

Standard IF.7

Common Core Area - Interpreting Functions

Skill - Graph from linear standard form - Find the graph of a linear equation given in standard form.

https://www.khanacademy.org/e/graph-from-standard-form-equation

Standard IF.7

Common Core Area - Interpreting Functions

Skill - Graphs of rational functions - Determine which of four graphs fits the formula of a given function.

https://www.khanacademy.org/e/graphs-of-rational-functions

Standard IF.7

Common Core Area - Interpreting Functions

Skill - Graph quadratics in vertex form - Graph quadratic functions that are given in the vertex form a(x+b)²+c. For example, graph y=-2(x-2)²+5.

https://www.khanacademy.org/e/graphing_parabolas_1

Standard IF.7

Common Core Area - Interpreting Functions

https://www.khanacademy.org/e/evaluate-step-functions-from-their-graph

Standard IF.7

Common Core Area - Interpreting Functions

https://www.khanacademy.org/e/graphs-of-exponential-functions

Standard IF.7

Common Core Area - Interpreting Functions

https://www.khanacademy.org/e/linear-function-intercepts

Standard IF.7

Common Core Area - Interpreting Functions

Skill - Graph parabolas in all forms - Graph quadratic functions given in any form.

https://www.khanacademy.org/e/graphing_parabolas_2

Standard IF.7

Common Core Area - Interpreting Functions

Skill - End behavior of polynomials - Analyze polynomial functions to determine how they behave as the input variable increases to positive infinity or decreases to negative infinity.

https://www.khanacademy.org/e/determine-the-end-behavior-of-polynomials

Standard IF.7

Common Core Area - Interpreting Functions

Skill - End behavior of rational functions - Given a rational function, determine how it behaves as x approaches +âˆž or -âˆž.

https://www.khanacademy.org/e/end-behavior-of-rational-functions

Standard IF.7

Common Core Area - Interpreting Functions

https://www.khanacademy.org/e/graphs-of-exponentials-and-logarithms

Standard IF.7

Common Core Area - Interpreting Functions

Skill - Graph from slope-intercept form - Practice drawing the graph of a line given in slope-intercept form. For example, graph y = 3x + 2.

https://www.khanacademy.org/e/graph-from-slope-intercept-equation

Standard IF.7

Common Core Area - Interpreting Functions

Skill - Rational function points of discontinuity - Given a rational function, sort given input values according to zeros, vertical asymptotes, and removable discontinuities.

https://www.khanacademy.org/e/points-of-discontinuity-of-rational-functions

Standard IF.7

Common Core Area - Interpreting Functions

https://www.khanacademy.org/e/using-zeros-to-graph-polynomials

Standard IF.7

Common Core Area - Interpreting Functions

https://www.khanacademy.org/e/increasing-decreasing-intervals-of-functions

Standard IF.7

Common Core Area - Interpreting Functions

https://www.khanacademy.org/e/recognize-maxima-and-minima

Standard IF.7

Common Core Area - Interpreting Functions

https://www.khanacademy.org/e/midline-of-trig-functions

Standard IF.7

Common Core Area - Interpreting Functions

Skill - Piecewise functions graphs - Match the formula of a piecewise function to its graph.

https://www.khanacademy.org/e/piecewise-graphs-linear

Standard IF.7

Common Core Area - Interpreting Functions

https://www.khanacademy.org/e/horizontal-and-vertical-lines

Standard IF.7

Common Core Area - Interpreting Functions

https://www.khanacademy.org/e/evaluating-piecewise-functions

Standard IF.7

Common Core Area - Interpreting Functions

https://www.khanacademy.org/e/graphing-linear-functions-word-problems

Standard IF.7

Common Core Area - Interpreting Functions

Skill - Absolute maxima and minima - Given the graph of a function, find its absolute maximum and minimum points.

https://www.khanacademy.org/e/recognize-absolute-maxima-and-minima

Standard IF.7

Common Core Area - Interpreting Functions

Skill - Graph absolute value functions - Graph absolute value functions like f(x)=|x+3|+2.

https://www.khanacademy.org/e/graphs-of-absolute-value-functions

Standard IF.7

Common Core Area - Interpreting Functions

Skill - Slope from two points - Find the slope of the line that goes through the two points that are given to you.

https://www.khanacademy.org/e/slope-from-two-points

Standard IF.7

Common Core Area - Interpreting Functions

https://www.khanacademy.org/e/slope-from-an-equation-in-slope-intercept-form

Standard IF.7

Common Core Area - Interpreting Functions

https://www.khanacademy.org/e/graphing_parabolas_0.5

Standard IF.7

Common Core Area - Interpreting Functions

Skill - Analyze vertical asymptotes of rational functions - Given the formula of a rational function, determine how it behaves around its vertical asymptote.

https://www.khanacademy.org/e/analyze-vertical-asymptotes-of-rational-functions

Standard IF.7

Common Core Area - Interpreting Functions

https://www.khanacademy.org/e/recognize-absolute-maxima-and-minima

Standard IF.7

Common Core Area - Interpreting Functions

https://www.khanacademy.org/e/slope-from-two-points

Standard IF.7

Common Core Area - Interpreting Functions

Skill - Graph absolute value functions - Graph absolute value functions like f(x)=|x+3|+2.

https://www.khanacademy.org/e/graphs-of-absolute-value-functions

Standard IF.7

Common Core Area - Interpreting Functions

https://www.khanacademy.org/e/recognize-absolute-maxima-and-minima

Standard IF.7

Common Core Area - Interpreting Functions

https://www.khanacademy.org/e/graphing-linear-functions-word-problems

Standard IF.7

Common Core Area - Interpreting Functions

https://www.khanacademy.org/e/evaluating-piecewise-functions

Standard IF.7

Common Core Area - Interpreting Functions

https://www.khanacademy.org/e/points-of-discontinuity-of-rational-functions

Standard IF.7

Common Core Area - Interpreting Functions

https://www.khanacademy.org/e/using-zeros-to-graph-polynomials

Standard IF.7

Common Core Area - Interpreting Functions

https://www.khanacademy.org/e/increasing-decreasing-intervals-of-functions

Standard IF.7

Common Core Area - Interpreting Functions

https://www.khanacademy.org/e/recognize-maxima-and-minima

Standard IF.7

Common Core Area - Interpreting Functions

https://www.khanacademy.org/e/midline-of-trig-functions

Standard IF.7

Common Core Area - Interpreting Functions

Skill - Piecewise functions graphs - Match the formula of a piecewise function to its graph.

https://www.khanacademy.org/e/piecewise-graphs-linear

Standard IF.7

Common Core Area - Interpreting Functions

https://www.khanacademy.org/e/horizontal-and-vertical-lines

Standard IF.7

Common Core Area - Interpreting Functions

https://www.khanacademy.org/e/evaluating-piecewise-functions

Standard IF.7

Common Core Area - Interpreting Functions

https://www.khanacademy.org/e/graphing-linear-functions-word-problems

Standard IF.7

Common Core Area - Interpreting Functions

https://www.khanacademy.org/e/slope-from-an-equation-in-slope-intercept-form

Standard IF.7

Common Core Area - Interpreting Functions

Skill - Graph absolute value functions - Graph absolute value functions like f(x)=|x+3|+2.

https://www.khanacademy.org/e/graphs-of-absolute-value-functions

Standard IF.7

Common Core Area - Interpreting Functions

https://www.khanacademy.org/e/slope-from-two-points

Standard IF.7

Common Core Area - Interpreting Functions

https://www.khanacademy.org/e/slope-from-an-equation-in-slope-intercept-form

Standard IF.7

Common Core Area - Interpreting Functions

https://www.khanacademy.org/e/graphing_parabolas_0.5

Standard IF.7

Common Core Area - Interpreting Functions

https://www.khanacademy.org/e/analyze-vertical-asymptotes-of-rational-functions

Standard IF.7

Common Core Area - Interpreting Functions

https://www.khanacademy.org/e/graphs_of_sine_and_cosine

Standard IF.7

Common Core Area - Interpreting Functions

https://www.khanacademy.org/e/amplitude-of-trig-functions

Standard IF.7

Common Core Area - Interpreting Functions

https://www.khanacademy.org/e/find-midline-of-a-sinusoid-from-formula

Standard IF.7

Common Core Area - Interpreting Functions

https://www.khanacademy.org/e/positive_and_negative_parts_of_functions

Standard IF.7

Common Core Area - Interpreting Functions

https://www.khanacademy.org/e/find-amplitude-of-a-sinusoid-from-formula

Standard IF.7

Common Core Area - Interpreting Functions

Skill - Intercepts from a table - Find the intercepts of a line given a table of values.

https://www.khanacademy.org/e/intercepts-from-table

Standard IF.7

Common Core Area - Interpreting Functions

https://www.khanacademy.org/e/graphs-of-radical-functions

Standard IF.7

Common Core Area - Interpreting Functions

https://www.khanacademy.org/e/graph-quadratic-functions-in-factored-form

Standard IF.7

Common Core Area - Interpreting Functions

https://www.khanacademy.org/e/positive-and-negative-intervals-of-polynomials

Standard IF.7

Common Core Area - Interpreting Functions

https://www.khanacademy.org/e/graphing-piecewise-functions

Standard IF.7

Common Core Area - Interpreting Functions

https://www.khanacademy.org/e/slope-from-an-equation-in-standard-form

Standard IF.7

Common Core Area - Interpreting Functions

https://www.khanacademy.org/e/graphs-of-exponentials-and-logarithms

Standard IF.7

Common Core Area - Interpreting Functions

https://www.khanacademy.org/e/end-behavior-of-rational-functions

Standard IF.7

Common Core Area - Interpreting Functions

https://www.khanacademy.org/e/determine-the-end-behavior-of-polynomials

Standard IF.7

Common Core Area - Interpreting Functions

Skill - Graph parabolas in all forms - Graph quadratic functions given in any form.

https://www.khanacademy.org/e/graphing_parabolas_2

Standard IF.7

Common Core Area - Interpreting Functions

https://www.khanacademy.org/e/linear-function-intercepts

Standard IF.7

Common Core Area - Interpreting Functions

https://www.khanacademy.org/e/graphs-of-exponential-functions

Standard IF.7

Common Core Area - Interpreting Functions

https://www.khanacademy.org/e/evaluate-step-functions-from-their-graph

Standard IF.7

Common Core Area - Interpreting Functions

https://www.khanacademy.org/e/graphing_parabolas_1

Standard IF.7

Common Core Area - Interpreting Functions

https://www.khanacademy.org/e/graphs-of-rational-functions

Standard IF.7

Common Core Area - Interpreting Functions

https://www.khanacademy.org/e/graph-from-standard-form-equation

Standard IF.7

Common Core Area - Interpreting Functions

https://www.khanacademy.org/e/period-of-trig-functions

Standard IF.7

Common Core Area - Interpreting Functions

https://www.khanacademy.org/e/graphs-of-basic-exponential-functions

Standard IF.7

Common Core Area - Interpreting Functions

https://www.khanacademy.org/e/find-period-of-a-sinusoid-from-formula

Standard IF.7

Common Core Area - Interpreting Functions

https://www.khanacademy.org/e/points-of-discontinuity-of-rational-functions

Standard IF.7

Common Core Area - Interpreting Functions

Skill - Intercepts from an equation - Solve linear equations for the x-intercept and y-intercept

https://www.khanacademy.org/e/solving_for_the_x-intercept

Standard IF.7

Common Core Area - Interpreting Functions

https://www.khanacademy.org/e/graph-from-slope-intercept-equation

Standard IF.7

Common Core Area - Interpreting Functions

https://www.khanacademy.org/e/positive-and-negative-intervals-of-polynomials

Standard IF.7

Common Core Area - Interpreting Functions

https://www.khanacademy.org/e/graph-quadratic-functions-in-factored-form

Standard IF.7

Common Core Area - Interpreting Functions

https://www.khanacademy.org/e/graphs-of-radical-functions

Standard IF.7

Common Core Area - Interpreting Functions

Skill - Intercepts from a table - Find the intercepts of a line given a table of values.

https://www.khanacademy.org/e/intercepts-from-table

Standard IF.7

Common Core Area - Interpreting Functions

https://www.khanacademy.org/e/find-amplitude-of-a-sinusoid-from-formula

Standard IF.7

Common Core Area - Interpreting Functions

https://www.khanacademy.org/e/positive_and_negative_parts_of_functions

Standard IF.7

Common Core Area - Interpreting Functions

https://www.khanacademy.org/e/find-midline-of-a-sinusoid-from-formula

Standard IF.7

Common Core Area - Interpreting Functions

https://www.khanacademy.org/e/amplitude-of-trig-functions

Standard IF.7

Common Core Area - Interpreting Functions

https://www.khanacademy.org/e/graphs_of_sine_and_cosine

Standard IF.7

Common Core Area - Interpreting Functions

https://www.khanacademy.org/e/analyze-vertical-asymptotes-of-rational-functions

Standard IF.7

Common Core Area - Interpreting Functions

https://www.khanacademy.org/e/graphing_parabolas_0.5

Standard IF.7

Common Core Area - Interpreting Functions

https://www.khanacademy.org/e/find-period-of-a-sinusoid-from-formula

Standard IF.7

Common Core Area - Interpreting Functions

https://www.khanacademy.org/e/graphing_parabolas_0.5

Standard IF.7

Common Core Area - Interpreting Functions

https://www.khanacademy.org/e/analyze-vertical-asymptotes-of-rational-functions

Standard IF.7

Common Core Area - Interpreting Functions

https://www.khanacademy.org/e/graphs_of_sine_and_cosine

Standard IF.7

Common Core Area - Interpreting Functions

https://www.khanacademy.org/e/amplitude-of-trig-functions

Standard IF.7

Common Core Area - Interpreting Functions

https://www.khanacademy.org/e/find-midline-of-a-sinusoid-from-formula

Standard IF.7

Common Core Area - Interpreting Functions

https://www.khanacademy.org/e/positive_and_negative_parts_of_functions

Standard IF.7

Common Core Area - Interpreting Functions

https://www.khanacademy.org/e/find-amplitude-of-a-sinusoid-from-formula

Standard IF.7

Common Core Area - Interpreting Functions

Skill - Intercepts from a table - Find the intercepts of a line given a table of values.

https://www.khanacademy.org/e/intercepts-from-table

Standard IF.7

Common Core Area - Interpreting Functions

https://www.khanacademy.org/e/graphs-of-radical-functions

Standard IF.7

Common Core Area - Interpreting Functions

https://www.khanacademy.org/e/graph-quadratic-functions-in-factored-form

Standard IF.7

Common Core Area - Interpreting Functions

https://www.khanacademy.org/e/positive-and-negative-intervals-of-polynomials

Standard IF.7

Common Core Area - Interpreting Functions

https://www.khanacademy.org/e/graph-from-slope-intercept-equation

Standard IF.7

Common Core Area - Interpreting Functions

Skill - Intercepts from an equation - Solve linear equations for the x-intercept and y-intercept

https://www.khanacademy.org/e/solving_for_the_x-intercept

Standard IF.7

Common Core Area - Interpreting Functions

https://www.khanacademy.org/e/graphing-piecewise-functions

Standard IF.7

Common Core Area - Interpreting Functions

Skill - Intercepts from an equation - Solve linear equations for the x-intercept and y-intercept

https://www.khanacademy.org/e/solving_for_the_x-intercept

Standard IF.7

Common Core Area - Interpreting Functions

https://www.khanacademy.org/e/graphs-of-basic-exponential-functions

Standard IF.7

Common Core Area - Interpreting Functions

https://www.khanacademy.org/e/period-of-trig-functions

Standard IF.7

Common Core Area - Interpreting Functions

https://www.khanacademy.org/e/graph-from-standard-form-equation

Standard IF.7

Common Core Area - Interpreting Functions

https://www.khanacademy.org/e/graphs-of-rational-functions

Standard IF.7

Common Core Area - Interpreting Functions

https://www.khanacademy.org/e/graphing_parabolas_1

Standard IF.7

Common Core Area - Interpreting Functions

https://www.khanacademy.org/e/evaluate-step-functions-from-their-graph

Standard IF.7

Common Core Area - Interpreting Functions

https://www.khanacademy.org/e/graphs-of-exponential-functions

Standard IF.7

Common Core Area - Interpreting Functions

https://www.khanacademy.org/e/linear-function-intercepts

Standard IF.7

Common Core Area - Interpreting Functions

Skill - Graph parabolas in all forms - Graph quadratic functions given in any form.

https://www.khanacademy.org/e/graphing_parabolas_2

Standard IF.7

Common Core Area - Interpreting Functions

https://www.khanacademy.org/e/determine-the-end-behavior-of-polynomials

Standard IF.7

Common Core Area - Interpreting Functions

https://www.khanacademy.org/e/end-behavior-of-rational-functions

Standard IF.7

Common Core Area - Interpreting Functions

https://www.khanacademy.org/e/graphs-of-exponentials-and-logarithms

Standard IF.7

Common Core Area - Interpreting Functions

https://www.khanacademy.org/e/slope-from-an-equation-in-standard-form

Standard IF.7

Common Core Area - Interpreting Functions

https://www.khanacademy.org/e/using-zeros-to-graph-polynomials

Standard IF.7

Common Core Area - Interpreting Functions

https://www.khanacademy.org/e/slope-from-two-points

Standard IF.7

Common Core Area - Interpreting Functions

https://www.khanacademy.org/e/graph-from-slope-intercept-equation

Standard IF.7

Common Core Area - Interpreting Functions

https://www.khanacademy.org/e/graphing-piecewise-functions

Standard IF.7

Common Core Area - Interpreting Functions

https://www.khanacademy.org/e/find-period-of-a-sinusoid-from-formula

Standard IF.7

Common Core Area - Interpreting Functions

https://www.khanacademy.org/e/graphs-of-basic-exponential-functions

Standard IF.7

Common Core Area - Interpreting Functions

https://www.khanacademy.org/e/period-of-trig-functions

Standard IF.7

Common Core Area - Interpreting Functions

https://www.khanacademy.org/e/graph-from-standard-form-equation

Standard IF.7

Common Core Area - Interpreting Functions

https://www.khanacademy.org/e/graphs-of-rational-functions

Standard IF.7

Common Core Area - Interpreting Functions

https://www.khanacademy.org/e/graphing_parabolas_1

Standard IF.7

Common Core Area - Interpreting Functions

https://www.khanacademy.org/e/evaluate-step-functions-from-their-graph

Standard IF.7

Common Core Area - Interpreting Functions

https://www.khanacademy.org/e/graphs-of-exponential-functions

Standard IF.7

Common Core Area - Interpreting Functions

https://www.khanacademy.org/e/linear-function-intercepts

Standard IF.7

Common Core Area - Interpreting Functions

Skill - Graph parabolas in all forms - Graph quadratic functions given in any form.

https://www.khanacademy.org/e/graphing_parabolas_2

Standard IF.7

Common Core Area - Interpreting Functions

https://www.khanacademy.org/e/determine-the-end-behavior-of-polynomials

Standard IF.7

Common Core Area - Interpreting Functions

https://www.khanacademy.org/e/end-behavior-of-rational-functions

Standard IF.7

Common Core Area - Interpreting Functions

https://www.khanacademy.org/e/slope-from-an-equation-in-standard-form

Standard IF.7

Common Core Area - Interpreting Functions

https://www.khanacademy.org/e/slope-from-an-equation-in-slope-intercept-form

Standard IF.7

Common Core Area - Interpreting Functions

Skill - Graph absolute value functions - Graph absolute value functions like f(x)=|x+3|+2.

https://www.khanacademy.org/e/graphs-of-absolute-value-functions

Standard IF.7

Common Core Area - Interpreting Functions

https://www.khanacademy.org/e/recognize-absolute-maxima-and-minima

Standard IF.7

Common Core Area - Interpreting Functions

https://www.khanacademy.org/e/graphing-linear-functions-word-problems

Standard IF.7

Common Core Area - Interpreting Functions

https://www.khanacademy.org/e/evaluating-piecewise-functions

Standard IF.7

Common Core Area - Interpreting Functions

https://www.khanacademy.org/e/horizontal-and-vertical-lines

Standard IF.7

Common Core Area - Interpreting Functions

https://www.khanacademy.org/e/midline-of-trig-functions

Standard IF.7

Common Core Area - Interpreting Functions

https://www.khanacademy.org/e/recognize-maxima-and-minima

Standard IF.7

Common Core Area - Interpreting Functions

https://www.khanacademy.org/e/increasing-decreasing-intervals-of-functions

Standard IF.7

Common Core Area - Interpreting Functions

https://www.khanacademy.org/e/using-zeros-to-graph-polynomials

Standard IF.7

Common Core Area - Interpreting Functions

https://www.khanacademy.org/e/points-of-discontinuity-of-rational-functions

Standard IF.7

Common Core Area - Interpreting Functions

https://www.khanacademy.org/e/graphs-of-exponentials-and-logarithms

Standard IF.7

Common Core Area - Interpreting Functions

Skill - Piecewise functions graphs - Match the formula of a piecewise function to its graph.

https://www.khanacademy.org/e/piecewise-graphs-linear

Standard IF.8

Common Core Area - Interpreting Functions

https://www.khanacademy.org/e/find-the-zeros-of-polynomials

Standard IF.8

Common Core Area - Interpreting Functions

https://www.khanacademy.org/e/solving_quadratics_by_factoring_2

Standard IF.8

Common Core Area - Interpreting Functions

https://www.khanacademy.org/e/factoring_polynomials_2

Standard IF.8

Common Core Area - Interpreting Functions

https://www.khanacademy.org/e/identifying-and-using-quadratic-forms

Standard IF.8

Common Core Area - Interpreting Functions

https://www.khanacademy.org/e/comparing-features-of-functions-2

Standard IF.8

Common Core Area - Interpreting Functions

Skill - Factor monomials - Factor monomials as products of smaller monomials.

https://www.khanacademy.org/e/factoring-monomials

Standard IF.8

Common Core Area - Interpreting Functions

https://www.khanacademy.org/e/rewriting-and-interpreting-exponential-functions

Standard IF.8

Common Core Area - Interpreting Functions

https://www.khanacademy.org/e/factoring-polynomials

Standard IF.8

Common Core Area - Interpreting Functions

https://www.khanacademy.org/e/using-zeros-to-graph-polynomials

Standard IF.8

Common Core Area - Interpreting Functions

Skill - Perfect squares - Factor quadratic expressions of the general perfect square forms: (ax)²+2abx+b² or (ax)²-2abx+b². The factored expressions have the general forms (ax+b)² or (ax-b)².

https://www.khanacademy.org/e/factoring-perfect-squares

Standard IF.8

Common Core Area - Interpreting Functions

Skill - Factor quadratics by grouping - Factor quadratics of the form ax²+bx+c.

https://www.khanacademy.org/e/factoring_polynomials_by_grouping_1

Standard IF.8

Common Core Area - Interpreting Functions

https://www.khanacademy.org/e/factoring_polynomials_2

Standard IF.8

Common Core Area - Interpreting Functions

https://www.khanacademy.org/e/identifying-and-using-quadratic-forms

Standard IF.8

Common Core Area - Interpreting Functions

https://www.khanacademy.org/e/comparing-features-of-functions-2

Standard IF.8

Common Core Area - Interpreting Functions

Skill - Factor monomials - Factor monomials as products of smaller monomials.

https://www.khanacademy.org/e/factoring-monomials

Standard IF.8

Common Core Area - Interpreting Functions

https://www.khanacademy.org/e/rewriting-and-interpreting-exponential-functions

Standard IF.8

Common Core Area - Interpreting Functions

https://www.khanacademy.org/e/factoring-polynomials

Standard IF.8

Common Core Area - Interpreting Functions

https://www.khanacademy.org/e/using-zeros-to-graph-polynomials

Standard IF.8

Common Core Area - Interpreting Functions

Skill - Perfect squares - Factor quadratic expressions of the general perfect square forms: (ax)²+2abx+b² or (ax)²-2abx+b². The factored expressions have the general forms (ax+b)² or (ax-b)².

https://www.khanacademy.org/e/factoring-perfect-squares

Standard IF.8

Common Core Area - Interpreting Functions

Skill - Difference of squares - Factor quadratic expressions of the general difference of squares form: (ax)^2-b^2. The factored expressions have the general form (ax+b)(ax-b).

https://www.khanacademy.org/e/factoring_difference_of_squares_2

Standard IF.8

Common Core Area - Interpreting Functions

Skill - Factoring quadratics intro - Factor quadratics of the form x²+bx+c.

https://www.khanacademy.org/e/factoring_polynomials_1

Standard IF.8

Common Core Area - Interpreting Functions

https://www.khanacademy.org/e/find-the-zeros-of-polynomials

Standard IF.8

Common Core Area - Interpreting Functions

https://www.khanacademy.org/e/slope-from-an-equation-in-standard-form

Standard IF.8

Common Core Area - Interpreting Functions

https://www.khanacademy.org/e/modeling-with-exponential-functions

Standard IF.8

Common Core Area - Interpreting Functions

https://www.khanacademy.org/e/rewriting-expressions-to-reveal-information

Standard IF.8

Common Core Area - Interpreting Functions

https://www.khanacademy.org/e/completing_the_square_1

Standard IF.8

Common Core Area - Interpreting Functions

https://www.khanacademy.org/e/converting_between_slope_intercept_and_standard_form

Standard IF.8

Common Core Area - Interpreting Functions

https://www.khanacademy.org/e/factoring_difference_of_squares_3

Standard IF.8

Common Core Area - Interpreting Functions

https://www.khanacademy.org/e/key-features-quadratics

Standard IF.8

Common Core Area - Interpreting Functions

https://www.khanacademy.org/e/factoring_difference_of_squares_1

Standard IF.8

Common Core Area - Interpreting Functions

https://www.khanacademy.org/e/completing_the_square_2

Standard IF.8

Common Core Area - Interpreting Functions

https://www.khanacademy.org/e/equivalent-forms-of-expressions-with-variable-exponents

Standard IF.8

Common Core Area - Interpreting Functions

https://www.khanacademy.org/e/completing_the_square_2

Standard IF.8

Common Core Area - Interpreting Functions

Skill - Factoring quadratics intro - Factor quadratics of the form x²+bx+c.

https://www.khanacademy.org/e/factoring_polynomials_1

Standard IF.8

Common Core Area - Interpreting Functions

Skill - Factor quadratics by grouping - Factor quadratics of the form ax²+bx+c.

https://www.khanacademy.org/e/factoring_polynomials_by_grouping_1

Standard IF.8

Common Core Area - Interpreting Functions

https://www.khanacademy.org/e/slope-from-an-equation-in-standard-form

Standard IF.8

Common Core Area - Interpreting Functions

https://www.khanacademy.org/e/modeling-with-exponential-functions

Standard IF.8

Common Core Area - Interpreting Functions

https://www.khanacademy.org/e/rewriting-expressions-to-reveal-information

Standard IF.8

Common Core Area - Interpreting Functions

https://www.khanacademy.org/e/completing_the_square_1

Standard IF.8

Common Core Area - Interpreting Functions

https://www.khanacademy.org/e/converting_between_slope_intercept_and_standard_form

Standard IF.8

Common Core Area - Interpreting Functions

https://www.khanacademy.org/e/factoring_difference_of_squares_3

Standard IF.8

Common Core Area - Interpreting Functions

https://www.khanacademy.org/e/key-features-quadratics

Standard IF.8

Common Core Area - Interpreting Functions

https://www.khanacademy.org/e/factoring_difference_of_squares_1

Standard IF.8

Common Core Area - Interpreting Functions

Skill - Difference of squares - Factor quadratic expressions of the general difference of squares form: (ax)^2-b^2. The factored expressions have the general form (ax+b)(ax-b).

https://www.khanacademy.org/e/factoring_difference_of_squares_2

Standard IF.8

Common Core Area - Interpreting Functions

https://www.khanacademy.org/e/equivalent-forms-of-expressions-with-variable-exponents

Standard IF.8

Common Core Area - Interpreting Functions

https://www.khanacademy.org/e/solving_quadratics_by_factoring_2

Standard IF.8

Common Core Area - Interpreting Functions

https://www.khanacademy.org/e/rewrite-exponential-expressions

Standard IF.8

Common Core Area - Interpreting Functions

https://www.khanacademy.org/e/factoring_polynomials_with_two_variables

Standard IF.8

Common Core Area - Interpreting Functions

https://www.khanacademy.org/e/interpret-rate-of-change-of-exponential-models-with-manipulation

Standard IF.8

Common Core Area - Interpreting Functions

https://www.khanacademy.org/e/interpret-rate-of-change-of-exponential-models-for-a-different-unit

Standard IF.8

Common Core Area - Interpreting Functions

https://www.khanacademy.org/e/solving_quadratics_by_factoring

Standard IF.8

Common Core Area - Interpreting Functions

https://www.khanacademy.org/e/completing_the_square_in_quadratic_expressions

Standard IF.8

Common Core Area - Interpreting Functions

https://www.khanacademy.org/e/solving-quadratics-by-using-structure

Standard IF.8

Common Core Area - Interpreting Functions

https://www.khanacademy.org/e/slope-from-an-equation-in-standard-form

Standard IF.8

Common Core Area - Interpreting Functions

https://www.khanacademy.org/e/comparing-features-of-functions-2

Standard IF.8

Common Core Area - Interpreting Functions

Skill - Factor monomials - Factor monomials as products of smaller monomials.

https://www.khanacademy.org/e/factoring-monomials

Standard IF.8

Common Core Area - Interpreting Functions

https://www.khanacademy.org/e/rewriting-and-interpreting-exponential-functions

Standard IF.8

Common Core Area - Interpreting Functions

https://www.khanacademy.org/e/factoring-polynomials

Standard IF.8

Common Core Area - Interpreting Functions

https://www.khanacademy.org/e/using-zeros-to-graph-polynomials

Standard IF.8

Common Core Area - Interpreting Functions

https://www.khanacademy.org/e/factoring-perfect-squares

Standard IF.8

Common Core Area - Interpreting Functions

https://www.khanacademy.org/e/factoring_difference_of_squares_2

Standard IF.8

Common Core Area - Interpreting Functions

Skill - Factoring quadratics intro - Factor quadratics of the form x²+bx+c.

https://www.khanacademy.org/e/factoring_polynomials_1

Standard IF.8

Common Core Area - Interpreting Functions

Skill - Factor quadratics by grouping - Factor quadratics of the form ax²+bx+c.

https://www.khanacademy.org/e/factoring_polynomials_by_grouping_1

Standard IF.8

Common Core Area - Interpreting Functions

https://www.khanacademy.org/e/completing_the_square_in_quadratic_expressions

Standard IF.8

Common Core Area - Interpreting Functions

https://www.khanacademy.org/e/modeling-with-exponential-functions

Standard IF.8

Common Core Area - Interpreting Functions

https://www.khanacademy.org/e/rewriting-expressions-to-reveal-information

Standard IF.8

Common Core Area - Interpreting Functions

https://www.khanacademy.org/e/completing_the_square_1

Standard IF.8

Common Core Area - Interpreting Functions

https://www.khanacademy.org/e/converting_between_slope_intercept_and_standard_form

Standard IF.8

Common Core Area - Interpreting Functions

https://www.khanacademy.org/e/factoring_difference_of_squares_3

Standard IF.8

Common Core Area - Interpreting Functions

https://www.khanacademy.org/e/key-features-quadratics

Standard IF.8

Common Core Area - Interpreting Functions

https://www.khanacademy.org/e/factoring_difference_of_squares_1

Standard IF.8

Common Core Area - Interpreting Functions

https://www.khanacademy.org/e/completing_the_square_2

Standard IF.8

Common Core Area - Interpreting Functions

https://www.khanacademy.org/e/factoring_polynomials_2

Standard IF.8

Common Core Area - Interpreting Functions

https://www.khanacademy.org/e/solving-quadratics-by-using-structure

Standard IF.8

Common Core Area - Interpreting Functions

https://www.khanacademy.org/e/solving_quadratics_by_factoring

Standard IF.8

Common Core Area - Interpreting Functions

https://www.khanacademy.org/e/interpret-rate-of-change-of-exponential-models-for-a-different-unit

Standard IF.8

Common Core Area - Interpreting Functions

https://www.khanacademy.org/e/interpret-rate-of-change-of-exponential-models-with-manipulation

Standard IF.8

Common Core Area - Interpreting Functions

https://www.khanacademy.org/e/factoring_polynomials_with_two_variables

Standard IF.8

Common Core Area - Interpreting Functions

https://www.khanacademy.org/e/rewrite-exponential-expressions

Standard IF.8

Common Core Area - Interpreting Functions

https://www.khanacademy.org/e/solving_quadratics_by_factoring_2

Standard IF.8

Common Core Area - Interpreting Functions

https://www.khanacademy.org/e/equivalent-forms-of-expressions-with-variable-exponents

Standard IF.8

Common Core Area - Interpreting Functions

https://www.khanacademy.org/e/factoring_polynomials_with_two_variables

Standard IF.8

Common Core Area - Interpreting Functions

https://www.khanacademy.org/e/interpret-rate-of-change-of-exponential-models-with-manipulation

Standard IF.8

Common Core Area - Interpreting Functions

https://www.khanacademy.org/e/interpret-rate-of-change-of-exponential-models-for-a-different-unit

Standard IF.8

Common Core Area - Interpreting Functions

https://www.khanacademy.org/e/solving_quadratics_by_factoring

Standard IF.8

Common Core Area - Interpreting Functions

https://www.khanacademy.org/e/completing_the_square_in_quadratic_expressions

Standard IF.8

Common Core Area - Interpreting Functions

https://www.khanacademy.org/e/solving-quadratics-by-using-structure

Standard IF.8

Common Core Area - Interpreting Functions

https://www.khanacademy.org/e/find-the-zeros-of-polynomials

Standard IF.8

Common Core Area - Interpreting Functions

https://www.khanacademy.org/e/identifying-and-using-quadratic-forms

Standard IF.8

Common Core Area - Interpreting Functions

https://www.khanacademy.org/e/rewrite-exponential-expressions

Standard IF.9

Common Core Area - Interpreting Functions

https://www.khanacademy.org/e/comparing-features-of-functions-2

Standard IF.9

Common Core Area - Interpreting Functions

Skill - Comparing linear functions word problem - Compare features of two real-world relationships that can be modeled by linear functions, where the functions are represented in different ways.

https://www.khanacademy.org/e/comparing-features-of-functions-1

Standard IF.9

Common Core Area - Interpreting Functions

Skill - Compare linear functions - Compare features of two linear functions represented in different ways.

https://www.khanacademy.org/e/comparing-features-of-functions-0-5

Standard IF.9

Common Core Area - Interpreting Functions

Skill - Compare quadratic functions - Compare the properties of two quadratic functions, each represented in a different way.

https://www.khanacademy.org/e/compare-properties-quadratic-functions

Standard LE.1

Common Core Area - Linear Quadratic and Exponential Models

https://www.khanacademy.org/e/recursive_explicit

Standard LE.1

Common Core Area - Linear Quadratic and Exponential Models

Skill - Exponential vs. linear. models - Given a description of a real-world relationship, determine whether that relationship is linear or exponential.

https://www.khanacademy.org/e/understanding-linear-and-exponential-models

Standard LE.1

Common Core Area - Linear Quadratic and Exponential Models

Skill - Linear vs. exponential growth: from data - Given a table with values of two quantities over time, determine whether the quantities form grow linearly or exponentially.

https://www.khanacademy.org/e/distinguish-between-linear-and-exponential-growth-from-tables

Standard LE.1

Common Core Area - Linear Quadratic and Exponential Models

https://www.khanacademy.org/e/recursive_explicit

Standard LE.1

Common Core Area - Linear Quadratic and Exponential Models

Skill - Exponential vs. linear. models - Given a description of a real-world relationship, determine whether that relationship is linear or exponential.

https://www.khanacademy.org/e/understanding-linear-and-exponential-models

Standard LE.1

Common Core Area - Linear Quadratic and Exponential Models

Skill - Linear vs. exponential growth: from data - Given a table with values of two quantities over time, determine whether the quantities form grow linearly or exponentially.

https://www.khanacademy.org/e/distinguish-between-linear-and-exponential-growth-from-tables

Standard LE.1

Common Core Area - Linear Quadratic and Exponential Models

https://www.khanacademy.org/e/recursive_explicit

Standard LE.1

Common Core Area - Linear Quadratic and Exponential Models

Skill - Exponential vs. linear. models - Given a description of a real-world relationship, determine whether that relationship is linear or exponential.

https://www.khanacademy.org/e/understanding-linear-and-exponential-models

Standard LE.1

Common Core Area - Linear Quadratic and Exponential Models

Skill - Linear vs. exponential growth: from data - Given a table with values of two quantities over time, determine whether the quantities form grow linearly or exponentially.

https://www.khanacademy.org/e/distinguish-between-linear-and-exponential-growth-from-tables

Standard LE.1

Common Core Area - Linear Quadratic and Exponential Models

https://www.khanacademy.org/e/recursive_explicit

Standard LE.1

Common Core Area - Linear Quadratic and Exponential Models

https://www.khanacademy.org/e/understanding-linear-and-exponential-models

Standard LE.1

Common Core Area - Linear Quadratic and Exponential Models

https://www.khanacademy.org/e/distinguish-between-linear-and-exponential-growth-from-tables

Standard LE.2

Common Core Area - Linear Quadratic and Exponential Models

Skill - Slope-intercept equation from graph - Practice finding the slope-intercept equation of a line from its graph.

https://www.khanacademy.org/e/slope-intercept-equation-from-graph

Standard LE.2

Common Core Area - Linear Quadratic and Exponential Models

Skill - Slope-intercept from two points - Practice finding the equation of a line passing through two points

https://www.khanacademy.org/e/slope-intercept-equation-from-two-points

Standard LE.2

Common Core Area - Linear Quadratic and Exponential Models

Skill - Linear equations in any form - You've had practice with a few different forms of linear equations. Now use your skills.

https://www.khanacademy.org/e/writing-the-equation-of-a-line-in-any-form

Standard LE.2

Common Core Area - Linear Quadratic and Exponential Models

Skill - Explicit formulas for arithmetic sequences - Solve problems such as: The first four terms in an arithmetic sequence are 12, 5, -2, and -9. Find an explicit formula for the sequence.

https://www.khanacademy.org/e/explicit-formulas-for-arithmetic-sequences

Standard LE.2

Common Core Area - Linear Quadratic and Exponential Models

https://www.khanacademy.org/e/horizontal-and-vertical-lines

Standard LE.2

Common Core Area - Linear Quadratic and Exponential Models

Skill - Slope from graph - Find the slope of a line on the coordinate plane.

https://www.khanacademy.org/e/slope-from-a-graph

Standard LE.2

Common Core Area - Linear Quadratic and Exponential Models

Skill - Exponential functions from tables & graphs - Write exponential functions of the basic form f(x)=aâ‹…rË£, either when given a table with two input-output pairs, or when given the graph of the function.

https://www.khanacademy.org/e/construct-basic-exponential-functions-from-table-or-graph

Standard LE.2

Common Core Area - Linear Quadratic and Exponential Models

https://www.khanacademy.org/e/recursive_explicit

Standard LE.2

Common Core Area - Linear Quadratic and Exponential Models

https://www.khanacademy.org/e/construct-exponential-models-according-to-rate-of-change

Standard LE.2

Common Core Area - Linear Quadratic and Exponential Models

Skill - Recursive formulas for arithmetic sequences - Find the recursive formula of an arithmetic sequence given the first few terms.

https://www.khanacademy.org/e/recursive-formulas-for-arithmetic-sequences

Standard LE.2

Common Core Area - Linear Quadratic and Exponential Models

Skill - Recursive formulas for geometric sequences - Find the recursive formula of a geometric sequence given the first few terms or given an explicit formula.

https://www.khanacademy.org/e/recursive-formulas-for-geometric-sequences

Standard LE.2

Common Core Area - Linear Quadratic and Exponential Models

Skill - Explicit formulas for geometric sequences - Solve problems such as: The first four terms in a geometric sequence are 1/3, 1, 3, and 9. Find an explicit formula for the sequence.

https://www.khanacademy.org/e/sequences-as-functions

Standard LE.2

Common Core Area - Linear Quadratic and Exponential Models

Skill - Point-slope form - Write equations in point-slope form given two pairs of values, and convert the equation into slope-intercept form.

https://www.khanacademy.org/e/converting_between_point_slope_and_slope_intercept

Standard LE.2

Common Core Area - Linear Quadratic and Exponential Models

https://www.khanacademy.org/e/constructing-and-interpreting-linear-functions

Standard LE.2

Common Core Area - Linear Quadratic and Exponential Models

https://www.khanacademy.org/e/constructing-linear-functions-word-problems

Standard LE.2

Common Core Area - Linear Quadratic and Exponential Models

https://www.khanacademy.org/e/slope-from-an-equation-in-slope-intercept-form

Standard LE.3

Common Core Area - Linear Quadratic and Exponential Models

Skill - Exponential vs. linear growth over time - Practice analyzing the end behavior of two functions that model similar real-world relationship, where one function is exponential and the other is polynomial.

https://www.khanacademy.org/e/comparing-growth-rates-of-exponentials-and-polynomials

Standard LE.4

Common Core Area - Linear Quadratic and Exponential Models

Skill - Solve exponential equations using logarithms: base-10 and base-e - Solve exponential equations that have 10 or e at the base of the exponential term.

https://www.khanacademy.org/e/using-logarithms-to-solve-exponential-equations

Standard LE.4

Common Core Area - Linear Quadratic and Exponential Models

Skill - Evaluate logarithms: change of base rule - Evaluate any logarithm in a calculator with the use of the change of base formula. Example: Evaluate logâ‚…(100).

https://www.khanacademy.org/e/evaluate-logarithms-using-the-change-of-base-rule

Standard LE.4

Common Core Area - Linear Quadratic and Exponential Models

Skill - Solve exponential equations using logarithms: base-2 and other bases - Solve exponential equations that have 2 or other numbers at the base of the exponential term.

https://www.khanacademy.org/e/solve-exponential-equations-using-logarithms-base-2

Standard LE.4

Common Core Area - Linear Quadratic and Exponential Models

Skill - Exponential model word problems - Solve word problems about exponential situations.

https://www.khanacademy.org/e/exponential-models-word-problems

Standard LE.5

Common Core Area - Linear Quadratic and Exponential Models

https://www.khanacademy.org/e/modeling-with-exponential-functions

Standard LE.5

Common Core Area - Linear Quadratic and Exponential Models

Skill - Linear equations word problems - Solve word problems about real world relationships that are given in formulas.

https://www.khanacademy.org/e/interpreting-features-of-linear-functions

Standard LE.5

Common Core Area - Linear Quadratic and Exponential Models

https://www.khanacademy.org/e/interpret-rate-of-change-of-exponential-models-with-manipulation

Standard LE.5

Common Core Area - Linear Quadratic and Exponential Models

Skill - Comparing linear functions word problem - Compare features of two real-world relationships that can be modeled by linear functions, where the functions are represented in different ways.

https://www.khanacademy.org/e/comparing-features-of-functions-1

Standard LE.5

Common Core Area - Linear Quadratic and Exponential Models

https://www.khanacademy.org/e/interpret-rate-of-change-of-exponential-models-for-a-different-unit

Standard LE.5

Common Core Area - Linear Quadratic and Exponential Models

https://www.khanacademy.org/e/rewriting-and-interpreting-exponential-functions

Standard LE.5

Common Core Area - Linear Quadratic and Exponential Models

https://www.khanacademy.org/e/constructing-and-interpreting-linear-functions

Standard TF.1

Common Core Area - Trigonometric Functions

Skill - Coming Soon -

Standard TF.2

Common Core Area - Trigonometric Functions

Skill - Coming Soon -

Standard TF.3

Common Core Area - Trigonometric Functions

Skill - Trig values of special angles - Find the sine and cosine of special angles, which are angles whose trig values we can determine without the use of a calculator.

https://www.khanacademy.org/e/trigonometric-functions-of-special-angles

Standard TF.4

Common Core Area - Trigonometric Functions

Skill - Coming Soon -

Standard TF.5

Common Core Area - Trigonometric Functions

Skill - Modeling with sinusoidal functions: phase shift - Given the description of a real-world relationship, find the sinusoidal function that models it. The functions in this exercise have a phase (horizontal) shift.

https://www.khanacademy.org/e/modeling-with-periodic-functions-2

Standard TF.5

Common Core Area - Trigonometric Functions

https://www.khanacademy.org/e/modeling-with-periodic-functions

Standard TF.5

Common Core Area - Trigonometric Functions

Skill - Construct sinusoidal functions - Given a few features of a sinusoidal function, find its formula.

https://www.khanacademy.org/e/construct-sinusoidal-functions

Standard TF.6

Common Core Area - Trigonometric Functions

Skill - Evaluate inverse trig functions - Given a sine, cosine, or tangent value, find the principle angle who has this value. In other words, find the arcsine, arccosine, or arctangent of that value.

https://www.khanacademy.org/e/inverse_trig_functions

Standard TF.7

Common Core Area - Trigonometric Functions

Skill - Solve sinusoidal equations (basic) - Solve equations of the form sin(x)=d or cos(x)=d where d is any number.

https://www.khanacademy.org/e/solve-basic-sinusoidal-equations

Standard TF.7

Common Core Area - Trigonometric Functions

Skill - Evaluate inverse trig functions - Given a sine, cosine, or tangent value, find the principle angle who has this value. In other words, find the arcsine, arccosine, or arctangent of that value.

https://www.khanacademy.org/e/inverse_trig_functions

Standard TF.7

Common Core Area - Trigonometric Functions

Skill - Sinusoidal models word problems - Solve word problems that involve real-world contexts that are modeled by sinusoidal functions.

https://www.khanacademy.org/e/inverse-trig-word-problems

Standard TF.7

Common Core Area - Trigonometric Functions

Skill - Solve sinusoidal equations - Solve equations of the form a*sin(bx+c)=d or a*cos(bx+c)=d where a, b, c, and d are any number.

https://www.khanacademy.org/e/solve-advanced-sinusoidal-equations

Standard TF.8

Common Core Area - Trigonometric Functions

Skill - Use the Pythagorean identity - Given the sine (or cosine) of an angle, find its cosine (or sine) using the Pythagorean identity.

https://www.khanacademy.org/e/circles-and-pythagorean-identities

Standard TF.9

Common Core Area - Trigonometric Functions

Skill - Find trig values using angle addition identities - Find the trigonometric values of various angles that (while they are not special angles) can be expressed as the sum or difference of special angles.

https://www.khanacademy.org/e/applying-angle-addition-formulas

Standard TF.9

Common Core Area - Trigonometric Functions

Skill - Using the trig angle addition identities - Find the trig values of sums of angles whose individual trig values are known.

Standard C.1

Common Core Area - Circles

Skill - Coming Soon -

Standard C.2

Common Core Area - Circles

Skill - Inscribed angles - Practice the relationship between inscribed & central angles that are subtended by the same arc length.

https://www.khanacademy.org/e/inscribed_angles_1

Standard C.2

Common Core Area - Circles

Skill - Inscribed shapes - Find missing angles and lengths in inscribed shapes.

https://www.khanacademy.org/e/inscribed-angle-problem-solving

Standard C.2

Common Core Area - Circles

Skill - Tangents of circles problems - Solve problems related to tangents of circles.

https://www.khanacademy.org/e/central--inscribed--and-circumscribed-angles

Standard C.3

Common Core Area - Circles

Skill - Quiz: Inscribed quadrilaterals - Use the fact that opposite angles in an inscribed quadrilateral are supplementary to solve a few problems.

https://www.khanacademy.org/e/inscribed-quadrilaterals

Standard C.4

Common Core Area - Circles

Skill - Coming Soon -

Standard C.5

Common Core Area - Circles

Skill - Radians & arc length - Solve problems related to radians and arc length like finding an arc length given the central angle and radius.

https://www.khanacademy.org/e/cc-radians-and-arc-length

Standard C.5

Common Core Area - Circles

Skill - Arc measure - Use the fact that the arc measures of a circle must sum to 360 degrees to find missing arc measures.

https://www.khanacademy.org/e/arc-measure

Standard C.5

Common Core Area - Circles

Skill - Arc length - Relate the length of an arc to the circumference of a whole circle and the central angle subtended by the arc.

https://www.khanacademy.org/e/arc-length-of-functions-in-one-variable

Standard C.5

Common Core Area - Circles

Skill - Radians & degrees - Convert angle measures given in degrees to radians and vice versa.

https://www.khanacademy.org/e/degrees_to_radians

Standard C.5

Common Core Area - Circles

Skill - Area of a sector - Relate the area of a sector to the area of a whole circle.

https://www.khanacademy.org/e/areas_of_circles_and_sectors

Standard C.5

Common Core Area - Circles

Skill - Arc length - Relate the length of an arc to the circumference of a whole circle and the central angle subtended by the arc.

https://www.khanacademy.org/e/circles_and_arcs

Standard C.5

Common Core Area - Circles

Skill - Arc measure with equations - Use the fact that the arc measures of a circle must sum to 360 degrees to find missing arc measures by setting up equations.

https://www.khanacademy.org/e/arc-measure-with-equations

Standard CO.1

Common Core Area - Congruence

Skill - Geometric definitions -

https://www.khanacademy.org/e/geometric-definitions

Standard CO.2

Common Core Area - Congruence

Skill - Rigid transformations: preserved properties - Identify which properties of shapes remain the same after a rigid transformation (reflection, rotation, translation) has been applied.

https://www.khanacademy.org/e/transformation-preserved-properties

Standard CO.2

Common Core Area - Congruence

Skill - Find measures using rigid transformations - Use your knowledge about the effects of rigid transformations to solve problems about figures and their images under transformations.

https://www.khanacademy.org/e/find-measures-using-rigid-transformations

Standard CO.2

Common Core Area - Congruence

Skill - Sequences of transformations - Given a description of a sequence of transformations, determine whether it preserves segment length or angle measure.

https://www.khanacademy.org/e/analyze-sequences-of-transformations

Standard CO.2

Common Core Area - Congruence

Skill - Defining transformations - Given a description of the effect of a transformation, determine which rigid transformation it is.

https://www.khanacademy.org/e/qualitatively-defining-rigid-transformations

Standard CO.3

Common Core Area - Congruence

Skill - Symmetry of 2D shapes - Analyze various shapes according to their reflective and rotational symmetries.

https://www.khanacademy.org/e/symmetry-of-two-dimensional-shapes

Standard CO.4

Common Core Area - Congruence

Skill - Defining transformations - Given a description of the effect of a transformation, determine which rigid transformation it is.

https://www.khanacademy.org/e/qualitatively-defining-rigid-transformations

Standard CO.4

Common Core Area - Congruence

Skill - Identify transformations - Identify the transformation (translation, rotation, reflection, or dilation) that has been applied to a figure.

https://www.khanacademy.org/e/identify-transformations

Standard CO.5

Common Core Area - Congruence

Skill - Reflect shapes - Given a figure and a definition of a reflection, manually draw the image.

https://www.khanacademy.org/e/reflections-1

Standard CO.5

Common Core Area - Congruence

Skill - Rotate shapes - Given a figure on the coordinate plane and the definition of a rotation about the origin, manually draw the image of that rotation.

https://www.khanacademy.org/e/rotations-1

Standard CO.5

Common Core Area - Congruence

Skill - Determine reflections (advanced) - Given two figures on the coordinate plane, draw the line of reflection that takes one figure to another.

https://www.khanacademy.org/e/defining-reflections

Standard CO.5

Common Core Area - Congruence

Skill - Mapping shapes - Map a given shape into another using sequences of rigid transformations (translations, rotations, and/or reflections).

https://www.khanacademy.org/e/mapping-shapes

Standard CO.5

Common Core Area - Congruence

Skill - Translate shapes - Given a figure and a definition of a translation, manually draw the image.

https://www.khanacademy.org/e/translations

Standard CO.5

Common Core Area - Congruence

Skill - Advanced reflections - Find the reflection that maps a given figure to another and draw the image of a reflection. The lines of reflection in this exercise have a wide range of slopes.

https://www.khanacademy.org/e/reflections-2

Standard CO.5

Common Core Area - Congruence

Skill - Rotate shapes: center â‰ (0,0) - Given a figure on the coordinate plane and the definition of a rotation about an arbitrary point, manually draw the image of that rotation.

https://www.khanacademy.org/e/rotations-2

Standard CO.5

Common Core Area - Congruence

Skill - Identify transformations - Identify the transformation (translation, rotation, reflection, or dilation) that has been applied to a figure.

https://www.khanacademy.org/e/identify-transformations

Standard CO.5

Common Core Area - Congruence

Skill - Reflect points - Given a point and a definition of a reflection, plot the reflection on a coordinate plane or identify the coordinates of the reflected point.

https://www.khanacademy.org/e/performing-reflections-on-the-coordinate-plane

Standard CO.5

Common Core Area - Congruence

Skill - Determine reflections - Given a shape and its image under a reflection, determine the line of reflection.

https://www.khanacademy.org/e/determine-reflections

Standard CO.5

Common Core Area - Congruence

Skill - Determine translations - Given two figures on the coordinate plane, find the formal definition of the translation that takes one figure to another.

https://www.khanacademy.org/e/defining-translations

Standard CO.5

Common Core Area - Congruence

Skill - Translate points - Given a point and a definition of a translation, plot the translation on a coordinate plane or identify the coordinates of the translated point.

https://www.khanacademy.org/e/performing-translations-on-the-coordinate-plane

Standard CO.5

Common Core Area - Congruence

Skill - Determine rotations - Given a figure on the coordinate plane and a center of a rotation, find the angle for the rotation that maps one figure to the other.

https://www.khanacademy.org/e/defining-rotations

Standard CO.6

Common Core Area - Congruence

Skill - Rigid transformations: preserved properties - Identify which properties of shapes remain the same after a rigid transformation (reflection, rotation, translation) has been applied.

https://www.khanacademy.org/e/transformation-preserved-properties

Standard CO.6

Common Core Area - Congruence

Skill - Find measures using rigid transformations - Use your knowledge about the effects of rigid transformations to solve problems about figures and their images under transformations.

https://www.khanacademy.org/e/find-measures-using-rigid-transformations

Standard CO.6

Common Core Area - Congruence

Skill - Congruence & transformations - Given a pair of figures in the coordinate plane, try to map one onto the other and determine whether they are congruent.

https://www.khanacademy.org/e/exploring-rigid-transformations-and-congruence

Standard CO.7

Common Core Area - Congruence

Skill - Coming Soon -

Standard CO.8

Common Core Area - Congruence

Skill - Coming Soon -

Standard CO.9

Common Core Area - Congruence

Skill - Proofs with transformations - Explore different ways of proving some theorems about lines and angles. Some transformations are used.

https://www.khanacademy.org/e/line-and-angle-proofs

Standard CO.10

Common Core Area - Congruence

Skill - Coming Soon -

Standard CO.11

Common Core Area - Congruence

Skill - Coming Soon -

Standard CO.12

Common Core Area - Congruence

Skill - Coming Soon -

Standard CO.13

Common Core Area - Congruence

Skill - Coming Soon -

Standard GMD.1

Common Core Area - Geometric Measurement and Dimension

Skill - Coming Soon -

Standard GMD.2

Common Core Area - Geometric Measurement and Dimension

Skill - Coming Soon -

Standard GMD.3

Common Core Area - Geometric Measurement and Dimension

Skill - Density word problems - Solve problems concerning real-world situations using your knowledge of volume, surface area, and density.

https://www.khanacademy.org/e/surface-and-volume-density-word-problems

Standard GMD.3

Common Core Area - Geometric Measurement and Dimension

Skill - Solid geometry - Find volumes and surface areas of boxes, cylinders, & triangular prisms.

https://www.khanacademy.org/e/solid_geometry

Standard GMD.3

Common Core Area - Geometric Measurement and Dimension

Skill - Solid geometry word problems - Solve problems concerning real-world situations with the volumes of cones, cylinders, and spheres.

https://www.khanacademy.org/e/volume-word-problems-with-cones--cylinders--and-spheres

Standard GMD.4

Common Core Area - Geometric Measurement and Dimension

Skill - Cross sections of 3D objects (basic) - Match 3D objects with their 2D cross-sections.

https://www.khanacademy.org/e/slicing-3d-figures

Standard GMD.4

Common Core Area - Geometric Measurement and Dimension

Skill - Cross sections of 3D objects - Practice your knowledge of all possible cross-sections of common 3D objects.

https://www.khanacademy.org/e/cross-sections-of-3d-shapes

Standard GMD.4

Common Core Area - Geometric Measurement and Dimension

Skill - Rotate 2D shapes in 3D - Practice your 3D visualization skills by rotating 2D shapes.

https://www.khanacademy.org/e/rotate-2d-shapes-to-make-3d-objects

Standard GPE.1

Common Core Area - Expressing Geometric Properties with Equations

Skill - Features of a circle from its expanded equation - Find the center and radius of a circle given the equation in expanded form.

https://www.khanacademy.org/e/equation_of_a_circle_2

Standard GPE.1

Common Core Area - Expressing Geometric Properties with Equations

Skill - Write standard equation of a circle - Given the graph of a circle or its features, find its standard equation.

https://www.khanacademy.org/e/write-the-equation-of-a-circle

Standard GPE.1

Common Core Area - Expressing Geometric Properties with Equations

Skill - Graph a circle from its expanded equation - Given the expanded equation of a circle, graph the circle. For example, graph the circle whose equation is x²+y²+4x+8y+16=0.

https://www.khanacademy.org/e/graphing_circles_2

Standard GPE.1

Common Core Area - Expressing Geometric Properties with Equations

Skill - Graph a circle from its standard equation - Given the standard form equation of a circle, graph the circle. For example, graph the circle who's equation is (x+5)²+(y+2)²=4.

https://www.khanacademy.org/e/graphing_circles

Standard GPE.1

Common Core Area - Expressing Geometric Properties with Equations

Skill - Features of a circle from its graph - Given the graph of a circle, find its center and radius.

https://www.khanacademy.org/e/find-the-features-of-a-circle-from-its-graph

Standard GPE.1

Common Core Area - Expressing Geometric Properties with Equations

Skill - Features of a circle from its standard equation - Find the center and radius of a circle given the equation in standard form.

https://www.khanacademy.org/e/equation_of_a_circle_1

Standard GPE.1

Common Core Area - Expressing Geometric Properties with Equations

Skill - Graph a circle from its features - Given information about the center and radius of a circle, graph it.

https://www.khanacademy.org/e/graph-a-circle-according-to-its-features

Standard GPE.2

Common Core Area - Expressing Geometric Properties with Equations

Skill - Equation of a parabola from focus & directrix - Given the focus and the directrix of a parabola, find its equation.

https://www.khanacademy.org/e/equation-of-parabola-from-focus-and-directrix

Standard GPE.3

Common Core Area - Expressing Geometric Properties with Equations

Skill - Equation of a hyperbola from features - Given some features of a hyperbola, find its equation.

https://www.khanacademy.org/e/equation_of_a_hyperbola

Standard GPE.3

Common Core Area - Expressing Geometric Properties with Equations

Skill - Foci of a hyperbola from equation - Given the equation of a hyperbola, find its foci.

https://www.khanacademy.org/e/foci-of-hyperbola-from-equation

Standard GPE.3

Common Core Area - Expressing Geometric Properties with Equations

Skill - Center & radii of ellipses from equation - Find the center and major and minor radius of an ellipse given its equation.

https://www.khanacademy.org/e/equation_of_an_ellipse

Standard GPE.3

Common Core Area - Expressing Geometric Properties with Equations

Skill - Foci of an ellipse from equation - Given the equation of an ellipse, find its foci.

https://www.khanacademy.org/e/foci-of-ellipse-from-equation

Standard GPE.3

Common Core Area - Expressing Geometric Properties with Equations

Skill - Graph & features of ellipses - Find the center and radii of an ellipse from its graph, and vice versa.

https://www.khanacademy.org/e/center-and-radii-of-an-ellipse-and-its-graph

Standard GPE.3

Common Core Area - Expressing Geometric Properties with Equations

Skill - Equation of an ellipse from features - Given the foci of an ellipse (and some other feature), find its equation.

https://www.khanacademy.org/e/equation-of-ellipse-from-foci

Standard GPE.3

Common Core Area - Expressing Geometric Properties with Equations

Skill - Foci of an ellipse from radii - Given the major and minor radii of an ellipse, find its foci.

https://www.khanacademy.org/e/find-foci-of-ellipse-from-radii

Standard GPE.3

Common Core Area - Expressing Geometric Properties with Equations

Skill - Ellipse standard equation & graph - Given the graph of an ellipse, find its equation, and vice versa.

https://www.khanacademy.org/e/equation-of-an-ellipse-from-its-graph

Standard GPE.3

Common Core Area - Expressing Geometric Properties with Equations

Skill - Vertices & direction of a hyperbola - Given the equation of a hyperbola, find its graph by considering its vertices and direction.

https://www.khanacademy.org/e/vertices-and-direction-of-hyperbola

Standard GPE.4

Common Core Area - Expressing Geometric Properties with Equations

Skill - Points inside/outside/on a circle - Given the center and radius of a circle, determine if a point is inside of the circle, on the circle, or outside of the circle

https://www.khanacademy.org/e/geometry-problems-on-the-coordinate-plane

Standard GPE.5

Common Core Area - Expressing Geometric Properties with Equations

Skill - Write equations of parallel & perpendicular lines - Write the equation for a line that is a parallel or perpendicular to a line given in slope-intercept form and goes through a specific point.

https://www.khanacademy.org/e/writing-equations-for-parallel-or-perpendicular-lines

Standard GPE.5

Common Core Area - Expressing Geometric Properties with Equations

Skill - Parallel & perpendicular lines from graph - Given points that two lines go through or the graph of each line, classify the lines as parallel, perpendicular, or neither.

https://www.khanacademy.org/e/classifying-lines-as-parallel--perpendicular--or-neither

Standard GPE.5

Common Core Area - Expressing Geometric Properties with Equations

Skill - Parallel & perpendicular lines from equation - Use your knowledge about the slopes of parallel and perpendicular lines to solve some problems. For example, what's the equation of the line perpendicular to y=3x-3 and passes through the point (-8, -2).

https://www.khanacademy.org/e/line_relationships

Standard GPE.6

Common Core Area - Expressing Geometric Properties with Equations

Skill - Divide line segments - Figure out the coordinates of a point between two other points that give a certain ratio. For example, find a point C so that it is two thirds of the way between point A and B.

https://www.khanacademy.org/e/dividing-line-segments

Standard GPE.6

Common Core Area - Expressing Geometric Properties with Equations

Skill - Midpoint formula - Find the midpoint of a segment on the coordinate plane, or find the endpoint of a segment given one point and the midpoint.

https://www.khanacademy.org/e/midpoint_formula

Standard GPE.7

Common Core Area - Expressing Geometric Properties with Equations

Skill - Area & perimeter on the coordinate plane - Find the area or perimeter of shapes like triangles, rectangles, parallelograms, and hexagons on the coordinate plane.

https://www.khanacademy.org/e/find-area-and-perimeter-on-the-coordinate-plane

Standard GPE.7

Common Core Area - Expressing Geometric Properties with Equations

Skill - Coordinate plane word problems: polygons - Solve all sorts of word problems with crazy contexts that use polygons on the coordinate plane.

https://www.khanacademy.org/e/coordinate-plane-word-problems-with-polygons

Standard MG.1

Common Core Area - Modeling with Geometry

Skill - Solid geometry word problems - Solve problems concerning real-world situations with the volumes of cones, cylinders, and spheres.

https://www.khanacademy.org/e/volume-word-problems-with-cones--cylinders--and-spheres

Standard MG.2

Common Core Area - Modeling with Geometry

Skill - Density word problems - Solve problems concerning real-world situations using your knowledge of volume, surface area, and density.

https://www.khanacademy.org/e/surface-and-volume-density-word-problems

Standard MG.3

Common Core Area - Modeling with Geometry

Skill - Coming Soon -

Standard SRT.1

Common Core Area - Similarity Right Triangles and Trigonometry

Skill - Dilate triangles - Given a figure and a definition of a dilation, manually draw the image.

https://www.khanacademy.org/e/dilations

Standard SRT.1

Common Core Area - Similarity Right Triangles and Trigonometry

Skill - Dilate points - Use the interactive transformation tool to perform dilations.

https://www.khanacademy.org/e/performing-dilations

Standard SRT.1

Common Core Area - Similarity Right Triangles and Trigonometry

Skill - Dilations: scale factor - Find both the center and the scale factor of a dilation that maps a given figure to another one.

https://www.khanacademy.org/e/defining-dilations-2

Standard SRT.1

Common Core Area - Similarity Right Triangles and Trigonometry

Skill - Dilate triangles - Given a figure and a definition of a dilation, manually draw the image.

https://www.khanacademy.org/e/dilations

Standard SRT.1

Common Core Area - Similarity Right Triangles and Trigonometry

Skill - Dilate points - Use the interactive transformation tool to perform dilations.

https://www.khanacademy.org/e/performing-dilations

Standard SRT.1

Common Core Area - Similarity Right Triangles and Trigonometry

Skill - Dilations: scale factor - Find both the center and the scale factor of a dilation that maps a given figure to another one.

https://www.khanacademy.org/e/defining-dilations-2

Standard SRT.1

Common Core Area - Similarity Right Triangles and Trigonometry

Skill - Dilate triangles - Given a figure and a definition of a dilation, manually draw the image.

https://www.khanacademy.org/e/dilations

Standard SRT.1

Common Core Area - Similarity Right Triangles and Trigonometry

Skill - Dilate points - Use the interactive transformation tool to perform dilations.

https://www.khanacademy.org/e/performing-dilations

Standard SRT.1

Common Core Area - Similarity Right Triangles and Trigonometry

Skill - Dilations: scale factor - Find both the center and the scale factor of a dilation that maps a given figure to another one.

https://www.khanacademy.org/e/defining-dilations-2

Standard SRT.2

Common Core Area - Similarity Right Triangles and Trigonometry

Skill - Dilate triangles - Given a figure and a definition of a dilation, manually draw the image.

https://www.khanacademy.org/e/dilations

Standard SRT.2

Common Core Area - Similarity Right Triangles and Trigonometry

Skill - Similarity & transformations - Given two polygons, try to map one onto the other using angle-preserving transformations, and determine whether they are similar.

https://www.khanacademy.org/e/exploring-angle-preserving-transformations-and-similarity

Standard SRT.2

Common Core Area - Similarity Right Triangles and Trigonometry

https://www.khanacademy.org/e/defining-dilations-2

Standard SRT.3

Common Core Area - Similarity Right Triangles and Trigonometry

Skill - Coming Soon -

Standard SRT.4

Common Core Area - Similarity Right Triangles and Trigonometry

Skill - Coming Soon -

Standard SRT.5

Common Core Area - Similarity Right Triangles and Trigonometry

Skill - Find angles in isosceles triangles - Find missing angles in isosceles triangles given just one angle.

https://www.khanacademy.org/e/find-angles-in-isosceles-triangles

Standard SRT.5

Common Core Area - Similarity Right Triangles and Trigonometry

Skill - Use similar & congruent triangles - Solve geometry problems with various polygons by using all you know about similarity and congruence.

https://www.khanacademy.org/e/solving-problems-with-similar-and-congruent-triangles

Standard SRT.5

Common Core Area - Similarity Right Triangles and Trigonometry

Skill - Solve similar triangles (basic) - Given two similar triangles and some of their side lengths, find a missing side length.

https://www.khanacademy.org/e/solving_similar_triangles_1

Standard SRT.5

Common Core Area - Similarity Right Triangles and Trigonometry

Skill - Find angles in congruent triangles - Given two triangles, determine whether they are congruent and use that to find missing angle measures.

https://www.khanacademy.org/e/congruent_triangles_2

Standard SRT.5

Common Core Area - Similarity Right Triangles and Trigonometry

Skill - Determine similar triangles: SSS - Given two triangles with some of their side measures, determine whether the triangles are similar or not.

https://www.khanacademy.org/e/similar_triangles_2

Standard SRT.5

Common Core Area - Similarity Right Triangles and Trigonometry

Skill - Solve similar triangles (advanced) - Given two similar triangles and some of their side lengths, find a missing side length.

https://www.khanacademy.org/e/solving_similar_triangles_2

Standard SRT.5

Common Core Area - Similarity Right Triangles and Trigonometry

Skill - Solve triangles: angle bisector theorem - Use the angle bisector theorem to find missing side lengths in triangles.

https://www.khanacademy.org/e/angle_bisector_theorem

Standard SRT.5

Common Core Area - Similarity Right Triangles and Trigonometry

Skill - Determine similar triangles: AA - Given two triangles with some of their angle measures, determine whether the triangles are similar or not.

https://www.khanacademy.org/e/similar_triangles_1

Standard SRT.5

Common Core Area - Similarity Right Triangles and Trigonometry

Skill - Determine congruent triangles - Use the triangle congruence criteria SSS, SAS, ASA, and AAS to determine that two triangles are congruent.

https://www.khanacademy.org/e/congruent_triangles_1

Standard SRT.6

Common Core Area - Similarity Right Triangles and Trigonometry

Skill - DEPRECATED Trigonometry 1.5 - We took this down because we now have better material for you to use instead!

https://www.khanacademy.org/e/trigonometry_1.5

Standard SRT.6

Common Core Area - Similarity Right Triangles and Trigonometry

Skill - Solve for a side in right triangles - Given one side length and an acute angle in a right triangle, find another side using trigonometry.

https://www.khanacademy.org/e/trigonometry_2

Standard SRT.6

Common Core Area - Similarity Right Triangles and Trigonometry

Skill - Trigonometric ratios in right triangles - Given the side lengths of a right triangle, find the sine, cosine, or tangent of one of the acute angles.

https://www.khanacademy.org/e/trigonometry_1

Standard SRT.6

Common Core Area - Similarity Right Triangles and Trigonometry

Skill - DEPRECATED Trigonometry 0.5 - We took this down because we now have better material for you to use instead!

https://www.khanacademy.org/e/trigonometry_0.5

Standard SRT.6

Common Core Area - Similarity Right Triangles and Trigonometry

Skill - Reciprocal trig ratios - Understand the right triangle definition of sec, csc, and cot ratios.

https://www.khanacademy.org/e/reciprocal_trig_funcs

Standard SRT.7

Common Core Area - Similarity Right Triangles and Trigonometry

Skill - Coming Soon -

Standard SRT.8

Common Core Area - Similarity Right Triangles and Trigonometry

Skill - Right triangle word problems - Solve word problems by modeling real-world (and not-so-real) situations as right triangles and using trigonometry.

https://www.khanacademy.org/e/applying-right-triangles

Standard SRT.8

Common Core Area - Similarity Right Triangles and Trigonometry

Skill - Solve for a side in right triangles - Given one side length and an acute angle in a right triangle, find another side using trigonometry.

https://www.khanacademy.org/e/trigonometry_2

Standard SRT.8

Common Core Area - Similarity Right Triangles and Trigonometry

Skill - Trigonometric ratios in right triangles - Given the side lengths of a right triangle, find the sine, cosine, or tangent of one of the acute angles.

https://www.khanacademy.org/e/trigonometry_1

Standard SRT.8

Common Core Area - Similarity Right Triangles and Trigonometry

Skill - Special right triangles - Use your knowledge of 30-60-90 and 45-45-90 triangles to solve some problems.

https://www.khanacademy.org/e/pythagorean_theorem_2

Standard SRT.8

Common Core Area - Similarity Right Triangles and Trigonometry

Skill - Solve for an angle in right triangles - Given two sides in a right triangle, find one of the acute angles using trigonometry.

https://www.khanacademy.org/e/solve-for-an-angle-in-a-right-triangle

Standard SRT.9

Common Core Area - Similarity Right Triangles and Trigonometry

Skill - Coming Soon -

Standard SRT.10

Common Core Area - Similarity Right Triangles and Trigonometry

Skill - Solve triangles using the law of sines - Solve missing triangle measures using the law of sines.

https://www.khanacademy.org/e/law_of_sines

Standard SRT.10

Common Core Area - Similarity Right Triangles and Trigonometry

Skill - General triangle word problems - Solve word problems that involve general triangles using trigonometry.

https://www.khanacademy.org/e/law-of-sines-and-cosines-word-problems

Standard SRT.10

Common Core Area - Similarity Right Triangles and Trigonometry

Skill - Solve triangles using the law of cosines - Solve missing triangle measures using the law of cosines.

https://www.khanacademy.org/e/law_of_cosines

Standard SRT.11

Common Core Area - Similarity Right Triangles and Trigonometry

Skill - Solve triangles using the law of sines - Solve missing triangle measures using the law of sines.

https://www.khanacademy.org/e/law_of_sines

Standard SRT.11

Common Core Area - Similarity Right Triangles and Trigonometry

Skill - General triangle word problems - Solve word problems that involve general triangles using trigonometry.

https://www.khanacademy.org/e/law-of-sines-and-cosines-word-problems

Standard SRT.11

Common Core Area - Similarity Right Triangles and Trigonometry

Skill - Solve triangles using the law of cosines - Solve missing triangle measures using the law of cosines.

https://www.khanacademy.org/e/law_of_cosines

Standard CN.1

Common Core Area - The Complex Number System

Skill - Simplify roots of negative numbers - Rewrite square roots of negative numbers as imaginary numbers.

https://www.khanacademy.org/e/simplify-square-roots-of-negative-numbers

Standard CN.1

Common Core Area - The Complex Number System

Skill - Parts of complex numbers - Determine the real and the imaginary parts of complex numbers

https://www.khanacademy.org/e/real-and-imaginary-parts-of-complex-numbers

Standard CN.1

Common Core Area - The Complex Number System

Skill - Classify complex numbers - Classify numbers as real, pure imaginary, or complex.

https://www.khanacademy.org/e/the-imaginary-unit-and-complex-numbers

Standard CN.2

Common Core Area - The Complex Number System

Skill - Powers of the imaginary unit - Simplify expressions with base i (the imaginary unit) raised to a positive exponent.

https://www.khanacademy.org/e/imaginary_unit_powers

Standard CN.2

Common Core Area - The Complex Number System

Skill - Multiply complex numbers (basic) - Multiply complex numbers by single terms that are either real or pure imaginary.

https://www.khanacademy.org/e/multiply-complex-numbers-by-real-or-imaginary-numbers

Standard CN.2

Common Core Area - The Complex Number System

Skill - Multiply complex numbers - Given two complex numbers, find their product.

https://www.khanacademy.org/e/multiplying_complex_numbers

Standard CN.2

Common Core Area - The Complex Number System

Skill - Add & subtract complex numbers - Practice addition and subtraction with complex numbers.

https://www.khanacademy.org/e/adding_and_subtracting_complex_numbers

Standard CN.3

Common Core Area - The Complex Number System

Skill - Divide complex numbers - Given a complex number division, express the result as a complex number of the form a+bi.

https://www.khanacademy.org/e/dividing_complex_numbers

Standard CN.3

Common Core Area - The Complex Number System

Skill - Complex number conjugates - Given a complex number, find its conjugate or plot it in the complex plane.

https://www.khanacademy.org/e/find-conjugates-of-complex-numbers

Standard CN.4

Common Core Area - The Complex Number System

Skill - Graphically add & subtract complex numbers - Add or subtract complex numbers, and plot the result in the complex plane.

https://www.khanacademy.org/e/complex_plane_operations

Standard CN.4

Common Core Area - The Complex Number System

Skill - Polar & rectangular forms of complex numbers - Given a complex number in rectangular form, write it in polar form. Given a complex number in polar form, write it in rectangular form.

https://www.khanacademy.org/e/rectangular-and-polar-forms-of-complex-numbers

Standard CN.4

Common Core Area - The Complex Number System

Skill - Absolute value of complex numbers - Given a complex number in the form a+bi, find its absolute value.

https://www.khanacademy.org/e/absolute_value_of_complex_numbers

Standard CN.4

Common Core Area - The Complex Number System

Skill - Plot numbers on the complex plane - Given a complex number, plot its corresponding point on the complex plane.

https://www.khanacademy.org/e/the_complex_plane

Standard CN.4

Common Core Area - The Complex Number System

Skill - Complex numbers from absolute value & angle - Given the absolute value and the angle of a complex number, express the number in the form a+bi.

https://www.khanacademy.org/e/find-complex-numbers-according-to-absolute-value-and-angle

Standard CN.4

Common Core Area - The Complex Number System

Skill - Angle of complex numbers - Given a complex number of the form a+bi, find its angle.

https://www.khanacademy.org/e/find-the-angle-of-complex-numbers

Standard CN.5

Common Core Area - The Complex Number System

Skill - Complex number conjugates - Given a complex number, find its conjugate or plot it in the complex plane.

https://www.khanacademy.org/e/find-conjugates-of-complex-numbers

Standard CN.5

Common Core Area - The Complex Number System

Skill - Graphically add & subtract complex numbers - Add or subtract complex numbers, and plot the result in the complex plane.

https://www.khanacademy.org/e/complex_plane_operations

Standard CN.5

Common Core Area - The Complex Number System

Skill - Powers of complex numbers - Simplify a power of a complex number z^n, or solve an equation of the form z^n=k.

https://www.khanacademy.org/e/powers_of_complex_numbers_1

Standard CN.5

Common Core Area - The Complex Number System

Skill - Multiply & divide complex numbers in polar form - Given two complex numbers in polar form, find their product or quotient.

https://www.khanacademy.org/e/multiplying_and_dividing_complex_number_polar_forms

Standard CN.6

Common Core Area - The Complex Number System

Skill - Midpoint of complex numbers - Given two complex numbers (either algebraically or graphically), find their midpoint.

https://www.khanacademy.org/e/find-the-midpoint-of-two-complex-numbers

Standard CN.6

Common Core Area - The Complex Number System

Skill - Distance of complex numbers - Given two complex numbers (either algebraically or graphically), find their distance.

https://www.khanacademy.org/e/distance-and-midpoint-on-the-complex-plane

Standard CN.7

Common Core Area - The Complex Number System

https://www.khanacademy.org/e/quadratic-formula-with-complex-solutions

Standard CN.8

Common Core Area - The Complex Number System

Skill - Factor polynomials: complex numbers - Identify correctly factored forms of given polynomials. Factorizations may use complex numbers.

https://www.khanacademy.org/e/equivalent-forms-of-expressions-with-complex-numbers

Standard CN.9

Common Core Area - The Complex Number System

Skill - Coming Soon -

Standard Q.1

Common Core Area - Quantities

Skill - Interpret units in formulas - Determine the appropriate unit of a quantity based on a formula containing that quantity.

https://www.khanacademy.org/e/working-with-units

Standard Q.1

Common Core Area - Quantities

Skill - Multiple units word problems - Solve word problems that contain multiple quantities that are measured in different units.

https://www.khanacademy.org/e/units

Standard Q.2

Common Core Area - Quantities

Skill - Coming Soon -

Standard Q.3

Common Core Area - Quantities

Skill - Coming Soon -

Standard RN.1

Common Core Area - The Real Number System

Skill - Coming Soon -

Standard RN.2

Common Core Area - The Real Number System

Skill - Properties of exponents challenge (rational exponents) - Rewrite some elaborate exponential expressions that involve fractional exponents and radicals.

https://www.khanacademy.org/e/rational-exp-prop-challenge

Standard RN.2

Common Core Area - The Real Number System

Skill - Unit-fraction exponents - Evaluate numerical expressions with unit-fraction exponents or radicals, and convert between the two forms of representations.

https://www.khanacademy.org/e/understanding-fractional-exponents

Standard RN.2

Common Core Area - The Real Number System

Skill - Evaluate radical expressions challenge - Evaluate numerical radical expressions using the properties of exponents.

https://www.khanacademy.org/e/simplify-radicals-and-exponentials

Standard RN.2

Common Core Area - The Real Number System

Skill - Properties of exponents (rational exponents) - Rewrite exponential expressions (where the exponent can be a fraction) using the properties of exponents.

https://www.khanacademy.org/e/exponents_4

Standard RN.2

Common Core Area - The Real Number System

Skill - Simplify square roots - For example, simplify âˆš18 as 3âˆš2.

https://www.khanacademy.org/e/simplifying_radicals

Standard RN.2

Common Core Area - The Real Number System

Skill - Simplify square-root expressions - Practice simplifying expressions with multiple radical terms.

https://www.khanacademy.org/e/adding_and_subtracting_radicals

Standard RN.2

Common Core Area - The Real Number System

Skill - Rational exponents challenge - Choose equivalent forms of radical and exponential expressions.

https://www.khanacademy.org/e/manipulating-fractional-exponents

Standard RN.2

Common Core Area - The Real Number System

Skill - Fractional exponents - Evaluate numerical expressions with rational exponents, and convert between equivalent forms of exponential and radical expressions.

https://www.khanacademy.org/e/exponents_3

Standard RN.2

Common Core Area - The Real Number System

Skill - 4th & 5th roots - Radicals are also known as roots. The most common are square root âˆš and cube root âˆ›, but there are more. Evaluate higher-degree radicals like âˆœ81.

https://www.khanacademy.org/e/radicals

Standard RN.2

Common Core Area - The Real Number System

Skill - Simplify square-roots (variables) - Simplify square roots that contain variables in them, like âˆš(8x³)

https://www.khanacademy.org/e/multiplying_radicals

Standard RN.3

Common Core Area - The Real Number System

Skill - Rational vs. irrational expressions - Determine whether an expression that is the combination of two rational/irrational numbers is rational or irrational itself.

https://www.khanacademy.org/e/recognizing-rational-and-irrational-expressions

Standard VM.1

Common Core Area - Vector and Matrix Quantities

Skill - Magnitude of vectors - Find the magnitude of a vector. You'll see vectors given in graphs, given in component form, and given by initial and terminal points.

https://www.khanacademy.org/e/magnitude-of-vectors

Standard VM.1

Common Core Area - Vector and Matrix Quantities

Skill - Equivalent vectors - Determine if two vectors shown on a graph are equivalent.

https://www.khanacademy.org/e/equivalent-vectors

Standard VM.2

Common Core Area - Vector and Matrix Quantities

Skill - Components of vectors - Find the components of a vector.

https://www.khanacademy.org/e/components_of_vectors

Standard VM.3

Common Core Area - Vector and Matrix Quantities

Skill - Vector word problems - Apply what you've learned about vectors to solve some word problems!

https://www.khanacademy.org/e/vector-word-problems

Standard VM.4

Common Core Area - Vector and Matrix Quantities

Skill - Add & subtract vectors - Add and subtract vectors given in component form.

https://www.khanacademy.org/e/adding_vectors

Standard VM.4

Common Core Area - Vector and Matrix Quantities

Skill - Graphically add & subtract vectors - Analyze graphs that represent vector addition & subtraction.

https://www.khanacademy.org/e/graphically-adding-and-subtracting-vectors

Standard VM.4

Common Core Area - Vector and Matrix Quantities

Skill - Add & subtract vectors - Add and subtract vectors given in component form.

https://www.khanacademy.org/e/adding_vectors

Standard VM.4

Common Core Area - Vector and Matrix Quantities

Skill - Add vectors: magnitude & direction to component - Add two vectors in magnitude and direction form to get a new vector in component form.

https://www.khanacademy.org/e/adding-vectors-in-magnitude-and-direction-form

Standard VM.4

Common Core Area - Vector and Matrix Quantities

Skill - Graphically add & subtract vectors - Analyze graphs that represent vector addition & subtraction.

https://www.khanacademy.org/e/graphically-adding-and-subtracting-vectors

Standard VM.4

Common Core Area - Vector and Matrix Quantities

Skill - Add & subtract vectors - Add and subtract vectors given in component form.

https://www.khanacademy.org/e/adding_vectors

Standard VM.4

Common Core Area - Vector and Matrix Quantities

Skill - Add vectors: magnitude & direction to component - Add two vectors in magnitude and direction form to get a new vector in component form.

https://www.khanacademy.org/e/adding-vectors-in-magnitude-and-direction-form

Standard VM.4

Common Core Area - Vector and Matrix Quantities

Skill - Graphically add & subtract vectors - Analyze graphs that represent vector addition & subtraction.

https://www.khanacademy.org/e/graphically-adding-and-subtracting-vectors

Standard VM.4

Common Core Area - Vector and Matrix Quantities

Skill - Add & subtract vectors - Add and subtract vectors given in component form.

https://www.khanacademy.org/e/adding_vectors

Standard VM.4

Common Core Area - Vector and Matrix Quantities

Skill - Add vectors: magnitude & direction to component - Add two vectors in magnitude and direction form to get a new vector in component form.

https://www.khanacademy.org/e/adding-vectors-in-magnitude-and-direction-form

Standard VM.4

Common Core Area - Vector and Matrix Quantities

https://www.khanacademy.org/e/graphically-adding-and-subtracting-vectors

Standard VM.4

Common Core Area - Vector and Matrix Quantities

https://www.khanacademy.org/e/adding-vectors-in-magnitude-and-direction-form

Standard VM.5

Common Core Area - Vector and Matrix Quantities

Skill - Analyze scalar multiplication - Match vectors to images based on scalars to show that you understand scalar multiplication.

https://www.khanacademy.org/e/understanding-scalar-multiplication

Standard VM.5

Common Core Area - Vector and Matrix Quantities

Skill - Unit vectors - Find a unit vector in the direction of a given vector.

https://www.khanacademy.org/e/unit-vector

Standard VM.5

Common Core Area - Vector and Matrix Quantities

Skill - Analyze scalar multiplication - Match vectors to images based on scalars to show that you understand scalar multiplication.

https://www.khanacademy.org/e/understanding-scalar-multiplication

Standard VM.5

Common Core Area - Vector and Matrix Quantities

Skill - Unit vectors - Find a unit vector in the direction of a given vector.

https://www.khanacademy.org/e/unit-vector

Standard VM.5

Common Core Area - Vector and Matrix Quantities

Skill - Analyze scalar multiplication - Match vectors to images based on scalars to show that you understand scalar multiplication.

https://www.khanacademy.org/e/understanding-scalar-multiplication

Standard VM.5

Common Core Area - Vector and Matrix Quantities

Skill - Unit vectors - Find a unit vector in the direction of a given vector.

https://www.khanacademy.org/e/unit-vector

Standard VM.6

Common Core Area - Vector and Matrix Quantities

Skill - Matrix elements - Find specific elements (also called entries) of given matrices.

https://www.khanacademy.org/e/understand-matrix-coordinates

Standard VM.7

Common Core Area - Vector and Matrix Quantities

Skill - Multiply matrices by scalars - Find the matrix that is a result of multiplying a given matrix by a given scalar.

https://www.khanacademy.org/e/scalar_matrix_multiplication

Standard VM.7

Common Core Area - Vector and Matrix Quantities

Skill - Matrix equations: scalar multiplication - Solve equations where the unknown is a matrix, by using matrix multiplication by a scalar.

https://www.khanacademy.org/e/solve-matrix-equations-scalar-multiplication

Standard VM.8

Common Core Area - Vector and Matrix Quantities

Skill - Multiply matrices - Find the result of a multiplication of two given matrices.

https://www.khanacademy.org/e/multiplying_a_matrix_by_a_matrix

Standard VM.8

Common Core Area - Vector and Matrix Quantities

Skill - Matrix equations: addition & subtraction - Solve equations where the unknown is a matrix, by using matrix addition and subtraction.

https://www.khanacademy.org/e/solve-matrix-equations-add-sub

Standard VM.8

Common Core Area - Vector and Matrix Quantities

Skill - Determinant of a 2x2 matrix - Find the determinant of a given 2x2 matrix.

https://www.khanacademy.org/e/matrix_determinant

Standard VM.8

Common Core Area - Vector and Matrix Quantities

Skill - Add & subtract matrices - Find the matrix that is the result of the addition or subtraction of two given matrices.

https://www.khanacademy.org/e/matrix_addition_and_subtraction

Standard VM.9

Common Core Area - Vector and Matrix Quantities

Skill - Coming Soon -

Standard VM.10

Common Core Area - Vector and Matrix Quantities

Skill - Determine invertible matrices - Given a 2x2 matrix, determine whether it has an inverse.

https://www.khanacademy.org/e/determine-invertibile-2x2-matrices

Standard VM.11

Common Core Area - Vector and Matrix Quantities

Skill - Transform vectors using matrices - Find the result (both algebraically and graphically) of transforming a vector using a transformation matrix.

https://www.khanacademy.org/e/multiplying_a_matrix_by_a_vector

Standard VM.12

Common Core Area - Vector and Matrix Quantities

Skill - Matrices as transformations - Match transformation matrices with a visual representation of their effect on the plane.

https://www.khanacademy.org/e/transformation-matrices-1

Standard VM.12

Common Core Area - Vector and Matrix Quantities

Skill - Transform polygons using matrices - Find the image of a given polygon under a transformation defined by a given matrix.

https://www.khanacademy.org/e/transform-polygons-with-matrices

Standard CP.1

Common Core Area - Conditional Probability & the Rules of Probability

Skill - Subsets of sample spaces - Answer interesting questions about subsets of sample spaces.

https://www.khanacademy.org/e/describing-subsets-of-sample-spaces

Standard CP.1

Common Core Area - Conditional Probability & the Rules of Probability

Skill - Basic set notation - The union, complement, and intersection of sets.

https://www.khanacademy.org/e/basic_set_notation

Standard CP.2

Common Core Area - Conditional Probability & the Rules of Probability

Skill - Dependent and independent events - Determine if two events are dependent or independent.

https://www.khanacademy.org/e/identifying-dependent-and-independent-events

Standard CP.3

Common Core Area - Conditional Probability & the Rules of Probability

Skill - Dependent and independent events - Determine if two events are dependent or independent.

https://www.khanacademy.org/e/identifying-dependent-and-independent-events

Standard CP.4

Common Core Area - Conditional Probability & the Rules of Probability

Skill - Trends in categorical data - Analyze categorical data to find some trends.

https://www.khanacademy.org/e/trends-in-categorical-data

Standard CP.5

Common Core Area - Conditional Probability & the Rules of Probability

Skill - Trends in categorical data - Analyze categorical data to find some trends.

https://www.khanacademy.org/e/trends-in-categorical-data

Standard CP.6

Common Core Area - Conditional Probability & the Rules of Probability

Skill - Dependent probability - Find dependent probabilities like P(A | B) or P(B | A) for a variety of contexts.

https://www.khanacademy.org/e/dependent_probability

Standard CP.6

Common Core Area - Conditional Probability & the Rules of Probability

Skill - Trends in categorical data - Analyze categorical data to find some trends.

https://www.khanacademy.org/e/trends-in-categorical-data

Standard CP.7

Common Core Area - Conditional Probability & the Rules of Probability

Skill - Adding probabilities - Find four probabilities for each problem: P(A), P(B), P(A and B), and P(A or B).

https://www.khanacademy.org/e/adding-probability

Standard CP.8

Common Core Area - Conditional Probability & the Rules of Probability

Skill - Multiplying dependent probabilities - Use properties of dependent probability like P(A | B) * P(B) = P(A and B) to solve some tricky probability problems!

https://www.khanacademy.org/e/multiplying-dependent-probabilities

Standard CP.9

Common Core Area - Conditional Probability & the Rules of Probability

Skill - Permutations & combinations - Permutations and Combinations with overcounting

https://www.khanacademy.org/e/permutations_and_combinations_2

Standard CP.9

Common Core Area - Conditional Probability & the Rules of Probability

Skill - Combinations - Introductory combination problems like if you have 5 friends and can pick 2 of them to join you on a boat ride, how many different groups of friends could you take with you?

https://www.khanacademy.org/e/combinations_1

Standard CP.9

Common Core Area - Conditional Probability & the Rules of Probability

Skill - Permutations - Introductory permutation problems.

https://www.khanacademy.org/e/permutations_1

Standard CP.9

Common Core Area - Conditional Probability & the Rules of Probability

Skill - Probability with permutations and combinations - Probability questions using permutations and combinations of objects

Standard IC.1

Common Core Area - Making Inferences and Justifying Conclusions

Skill - Coming Soon -

Standard IC.2

Common Core Area - Making Inferences and Justifying Conclusions

Skill - Simple hypothesis testing - Show that you have mastery over the idea behind hypothesis testing by calculating some probabilities and drawing conclusions.

https://www.khanacademy.org/e/hypothesis-testing-with-simulations

Standard IC.3

Common Core Area - Making Inferences and Justifying Conclusions

Skill - Types of statistical studies - Determines if a statistical study is a sample study, an experiment, or an observational study.

https://www.khanacademy.org/e/types-of-statistical-studies

Standard IC.4

Common Core Area - Making Inferences and Justifying Conclusions

Skill - Coming Soon -

Standard IC.5

Common Core Area - Making Inferences and Justifying Conclusions

Skill - Hypothesis testing in experiments - Look at the results of different experiments, and determine if they are statistically significant.

https://www.khanacademy.org/e/hypothesis-testing-in-experiments

Standard IC.6

Common Core Area - Making Inferences and Justifying Conclusions

Skill - Types of statistical studies - Determines if a statistical study is a sample study, an experiment, or an observational study.

https://www.khanacademy.org/e/types-of-statistical-studies

Standard ID.1

Common Core Area - Interpreting Categorical and Quantitative Data

Skill - Comparing data distributions - Take a look at two different data distributions and draw some comparisons.

https://www.khanacademy.org/e/interpreting-and-comparing-data-distributions

Standard ID.2

Common Core Area - Interpreting Categorical and Quantitative Data

Skill - Comparing data distributions - Take a look at two different data distributions and draw some comparisons.

https://www.khanacademy.org/e/interpreting-and-comparing-data-distributions

Standard ID.2

Common Core Area - Interpreting Categorical and Quantitative Data

Skill - Standard deviation of a population - Calculate the standard deviation of a population.

https://www.khanacademy.org/e/standard_deviation_of_a_population

Standard ID.3

Common Core Area - Interpreting Categorical and Quantitative Data

Skill - Comparing data distributions - Take a look at two different data distributions and draw some comparisons.

https://www.khanacademy.org/e/interpreting-and-comparing-data-distributions

Standard ID.4

Common Core Area - Interpreting Categorical and Quantitative Data

Skill - Normal distribution: Area above or below a point - Use a z-table to find the area above or below a given point in some Normal distribution.

https://www.khanacademy.org/e/z_scores_2

Standard ID.4

Common Core Area - Interpreting Categorical and Quantitative Data

Skill - Empirical rule - Practice applying the 68-95-99.7 empirical rule.

https://www.khanacademy.org/e/empirical_rule

Standard ID.4

Common Core Area - Interpreting Categorical and Quantitative Data

Skill - Z-scores 1 - Find the z-score of a particular measurement given the mean and standard deviation.

https://www.khanacademy.org/e/z_scores_1

Standard ID.4

Common Core Area - Interpreting Categorical and Quantitative Data

Skill - Normal distribution: Area between two points - Use a z-table to find the area between two given points in some normal distribution.

https://www.khanacademy.org/e/z_scores_3

Standard ID.5

Common Core Area - Interpreting Categorical and Quantitative Data

Skill - Trends in categorical data - Analyze categorical data to find some trends.

https://www.khanacademy.org/e/trends-in-categorical-data

Standard ID.6

Common Core Area - Interpreting Categorical and Quantitative Data

Skill - Fitting quadratic and exponential functions to scatter plots - Determine if a quadratic or exponential model fits a data set better, then use the model to make a prediction.

https://www.khanacademy.org/e/fitting-functions-to-scatter-plots

Standard ID.6

Common Core Area - Interpreting Categorical and Quantitative Data

Skill - Fitting quadratic and exponential functions to scatter plots - Determine if a quadratic or exponential model fits a data set better, then use the model to make a prediction.

https://www.khanacademy.org/e/fitting-functions-to-scatter-plots

Standard ID.6

Common Core Area - Interpreting Categorical and Quantitative Data

Skill - Fitting quadratic and exponential functions to scatter plots - Determine if a quadratic or exponential model fits a data set better, then use the model to make a prediction.

https://www.khanacademy.org/e/fitting-functions-to-scatter-plots

Standard ID.6

Common Core Area - Interpreting Categorical and Quantitative Data

https://www.khanacademy.org/e/fitting-functions-to-scatter-plots

Standard ID.7

Common Core Area - Interpreting Categorical and Quantitative Data

Skill - Coming Soon -

Standard ID.8

Common Core Area - Interpreting Categorical and Quantitative Data

Skill - Correlation coefficient intuition - Match correlation coefficients to scatterplots to build a deeper intuition behind correlation coefficients.

https://www.khanacademy.org/e/correlation-coefficient-intuition

Standard ID.9

Common Core Area - Interpreting Categorical and Quantitative Data

Skill - Types of statistical studies - Determines if a statistical study is a sample study, an experiment, or an observational study.

https://www.khanacademy.org/e/types-of-statistical-studies

Standard MD.1

Common Core Area - Using Probability to Make Decisions

Skill - Constructing probability distributions - Given a context, create a probability distribution.

https://www.khanacademy.org/e/constructing-probability-distributions

Standard MD.2

Common Core Area - Using Probability to Make Decisions

Skill - Expected value - Compute the expected value given a set of outcomes, probabilities, and payoffs

https://www.khanacademy.org/e/expected_value

Standard MD.3

Common Core Area - Using Probability to Make Decisions

Skill - Expected value with calculated probabilities - Find expected value based on calculated probabilities.

https://www.khanacademy.org/e/expected-value-with-calculated-probabilities

Standard MD.4

Common Core Area - Using Probability to Make Decisions

Skill - Expected value with empirical probabilities - Find expected value based on empirical probabilities.

https://www.khanacademy.org/e/expected-value-with-empirical-probabilities

Standard MD.5

Common Core Area - Using Probability to Make Decisions

Skill - Expected value - Compute the expected value given a set of outcomes, probabilities, and payoffs

https://www.khanacademy.org/e/expected_value

Standard MD.5

Common Core Area - Using Probability to Make Decisions

Skill - Making decisions with expected values - Calculate expected values and then use them to make decisions.

https://www.khanacademy.org/e/making-decisions-with-expected-values

Standard MD.5

Common Core Area - Using Probability to Make Decisions

Skill - Expected value - Compute the expected value given a set of outcomes, probabilities, and payoffs

https://www.khanacademy.org/e/expected_value

Standard MD.5

Common Core Area - Using Probability to Make Decisions

Skill - Making decisions with expected values - Calculate expected values and then use them to make decisions.

https://www.khanacademy.org/e/making-decisions-with-expected-values

Standard MD.5

Common Core Area - Using Probability to Make Decisions

https://www.khanacademy.org/e/expected_value

Standard MD.5

Common Core Area - Using Probability to Make Decisions

Skill - Making decisions with expected values - Calculate expected values and then use them to make decisions.

https://www.khanacademy.org/e/making-decisions-with-expected-values

Standard MD.6

Common Core Area - Using Probability to Make Decisions

Skill - Using probability to make fair decisions - Determine if different methods are fair or unfair.

https://www.khanacademy.org/e/using-probability-to-make-fair-decisions

Standard MD.7

Common Core Area - Using Probability to Make Decisions

Skill - Using probability to make fair decisions - Determine if different methods are fair or unfair.

https://www.khanacademy.org/e/using-probability-to-make-fair-decisions

Standard MD.7

Common Core Area - Using Probability to Make Decisions

https://www.khanacademy.org/e/making-decisions-with-expected-values