Rational and irrational numbers (Khan Academy)

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Learn about irrational numbers and how to identify them. (1) Irrational numbers Intro to rational & irrational numbers Classifying numbers: rational & irrational Classify numbers: rational & irrational Classifying numbers Classify numbers (2) Proofs concerning irrational numbers Proof: √2 is irrational Proof: square roots of prime numbers are irrational Proof: there’s an irrational number between […]

Quadratic equations and functions (Khan Academy)

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Learn how to solve quadratic equations, and how to analyze and graph quadratic functions. (1) Solving quadratic equations by taking square root Solving quadratics by taking square roots Solving quadratics by taking square roots Solving quadratics by taking square roots examples Solve quadratic equations by taking square roots Solving quadratics by taking square roots: strategy […]

Polynomial factorization (Khan Academy)

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Learn how to write polynomial expressions as the product of linear factors. For example, write x^2+3x+2 as (x+1)(x+2). (1) Introduction to factorization Intro to factors & divisibility Intro to factors & divisibility Factors & divisibility (2) Factoring monomials Monomial factorization Factoring monomials Monomial factorization (example 2) Monomial factorization: area model Factor monomials (3) Common monomial […]

Introduction to polynomials (Khan Academy)

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Learn how to add, subtract, and multiply polynomial expressions. For example, write (2x+3)(x-1) as 2x²+x-3. (1) Intro to polynomials The parts of polynomial expressions Evaluating polynomials Simplifying polynomials (2) Adding & subtracting polynomials Adding polynomials Add polynomials Subtracting polynomials Subtract polynomials Polynomial subtraction & set closure Adding & subtracting multiple polynomials Add & subtract polynomials […]

Introduction to exponential functions (Khan Academy)

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Learn how to construct, analyze, graph, and interpret basic exponential functions of the form f(x)=a*r^x. (1) Introduction to exponential growth and decay Intro to exponential functions Initial value & common ratio of exponential functions Writing exponential functions Write exponential functions Writing exponential functions from tables Writing exponential functions from graphs Write exponential functions: tables & […]

Expressions with rational exponents and radicals (Khan Academy)

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Learn about expressions with rational exponents like x^(2/3), about radical expressions like √(2t^5), and about the relationship between these two forms of representation. Learn how to evaluate and simplify such expression. (1) Introduction to rational exponents and radicals Intro to rational exponents Radicals and exponents Rational exponents: unit fractions Rewriting roots as rational exponents Evaluating […]

Absolute value equations, functions, and inequalities (Khan Academy)

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Learn how to solve absolute value equations, how to graph absolute value functions, and how to solve absolute value inequalities. (1) Solving absolute value equations Intro to absolute value equations and graphs Solving absolute value equations: two solutions Solving absolute value equations: one solution Solving absolute value equations: no solution Solve absolute value equations (2) […]

Two-variable linear inequalities (Khan Academy)

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In this topic, we study inequalities like x+2y>5 and graph them. This helps us see their solutions. We also explore systems of inequalities (multiple inequalities at the same time) and use them to describe real-world situations. (1) Checking solutions of two-variable inequalities Testing solutions to inequalities Test solutions to inequalities Test solutions to inequalities: graphically […]

Systems of linear equations (Khan Academy)

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Learn how to interpret solutions to systems of linear equations and solve them. (1) Introduction to systems of linear equations Systems of equations: trolls, tolls (1 of 2) Testing a solution to a system of equations Test solutions to systems of equations (2) Graphical representation of systems of equations Systems of equations: trolls, tolls (2 […]

Sequences (Khan Academy)

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Learn about the various ways in which we can define sequences; Use and construct arithmetic and geometric sequences. (1) Introduction to sequences Intro to sequences Evaluating sequences in recursive form Evaluate sequences in recursive form (2) Introduction to arithmetic squences Intro to arithmetic sequences Intro to arithmetic sequences Extending arithmetic sequences Extend arithmetic sequences Intro […]