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Writing algebraic expressions introduction, Introduction to equivalent algebraic expressions, Sums and products of rational and irrational numbers, Why we do the same thing to both sides of an equation, One-step addition & subtraction equations, One-step multiplication & division equations, Linear equations with variables on both sides, Analyzing the number of solutions to linear equations, Linear equations with unknown coefficients, Introduction to inequalities with variables, Summary: Forms of two-variable linear equations, Interpreting linear functions and equations, Constructing linear models for real-world relationships, Equivalent systems of equations and the elimination method, Solving systems of equations with substitution, Manipulating expressions with unknown variables, Number of solutions to systems of equations, Solving equations by graphing (Algebra 2 level), Checking solutions of two-variable inequalities, Constraining solutions of two-variable inequalities, Introduction to the domain and range of a function, Intervals where a function is positive, negative, increasing, or decreasing, Modeling situations by combining and composing functions (Algebra 2 level), Introduction to inverses of functions (Algebra 2 level), Finding inverse functions (Algebra 2 level), Verifying that functions are inverses (Algebra 2 level), Determining whether a function is invertible (Algebra 2 level), Determining the domain of advanced functions (Algebra 2 level), Determining the range of a function (Algebra 2 level), Graphing nonlinear piecewise functions (Algebra 2 level), Interpreting the symmetry of algebraic models (Algebra 2 level), Interpreting the end behavior of algebraic models (Algebra 2 level), Interpreting the periodicity of algebraic models (Algebra 2 level), Comparing features of functions (Algebra 2 level), Solving quadratics by taking square roots, Adding & subtracting polynomials: two variables, Factoring polynomials by taking common factors, Evaluating expressions with unknown variables, Factoring polynomials with quadratic forms, Factoring quadratics: Difference of squares, Factoring polynomials with special product forms, Practice dividing polynomials with remainders, Advanced polynomial factorization methods, Polynomial identities with complex numbers, Properties of exponents (rational exponents), Simplifying radicals (higher-index roots), Exponential functions from tables & graphs, Equivalent forms of exponential expressions, Solving exponential equations using properties of exponents, Introduction to rate of exponential growth and decay, Interpreting the rate of change of exponential models (Algebra 2 level), Constructing exponential models according to rate of change (Algebra 2 level), Advanced interpretation of exponential models (Algebra 2 level), Distinguishing between linear and exponential growth (Algebra 2 level), Introduction to logarithms (Algebra 2 level), The constant e and the natural logarithm (Algebra 2 level), Properties of logarithms (Algebra 2 level), The change of base formula for logarithms (Algebra 2 level), Solving exponential equations with logarithms (Algebra 2 level), Solving exponential models (Algebra 2 level), Graphs of exponential functions (Algebra 2 level), Graphs of logarithmic functions (Algebra 2 level), Extraneous solutions of radical equations, Multiplying & dividing rational expressions, Adding & subtracting rational expressions, The unit circle definition of sine, cosine, & tangent, Introduction to amplitude, midline, & extrema of sinusoidal functions, Finding amplitude & midline of sinusoidal functions from their formulas, Introduction to the trigonometric angle addition identities, Using trigonometric identities to solve problems, Modeling with one-variable equations & inequalities, Complex conjugates & dividing complex numbers, Absolute value & angle of complex numbers, Multiplying & dividing complex numbers in polar form, Identifying conic sections from their expanded equations, Challenging conic section problems (IIT JEE), Adding vectors in magnitude & direction form, Representing linear systems of equations with augmented matrices, Properties of matrix addition & scalar multiplication, Finding the inverse of a matrix using its determinant, Practice finding the inverses of 2x2 matrices, Determinants & inverses of large matrices, Model real-world situations with matrices.
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