Algebra 2 | Index

Algebra 2 Pre-Requisites

Check out Algebra 1 for Algebra 2 Pre-Requisite material.

Polynomial Arithmetic

  • Polynomials
  • Average rate of change of polynomials
  • Adding and subtracting polynomials
  • Multiplying monomials by polynomials
  • Multiplying binomials by polynomials
  • Special products of polynomials

Complex Numbers

  • The imaginary unit I
  • Complex number introduction
  • The complex plane
  • Adding and subtracting complex numbers
  • Multiplying complex numbers
  • Quadratic equations with complex numbers

Polynomial Factorization

  • Factoring monomials
  • Greatest Common Factor
  • Taking common factors
  • Factoring higher degree polynomials
  • Factoring using structure
  • Polynomial identities
  • Geometric Series

Polynomial Division

  • Dividing Polynomials by X
  • Dividing quadratics by linear factors
  • Dividing polynomials by linear factors
  • Polynomial remainder theorem

Polynomial Graphs

  • Zeros of Polynomials
  • Positive and negative intervals of polynomials
  • End behavior of polynomials

Rational Exponents and Radicals

  • Rational Exponents
  • Properties of exponents (rational exponents)
  • Evaluating exponents and radicals
  • Equivalent forms of exponential expressions
  • Solving exponential equations using properties of exponents

Exponential Models

  • Rate of change in exponential models
  • Constructing exponential models according to rate of change
  • Advanced interpretation of exponential models

Logarithms

  • Introduction to logarithms
  • The constant e and the natural logarithm
  • Properties of logarithms
  • The change of base formula for logarithms
  • Solving exponential equations with logarithms
  • Solving exponential models

Transformations of functions

  • Shifting Functions
  • Reflecting Functions
  • Symmetry of Functions
  • Scaling Functions
  • Combing all functions
  • Graphs of square and cube root functions
  • Graphs of exponential functions
  • Graphs of logarithmic functions

Equations

  • Rational Equations
  • Square-root Equations
  • Extraneous Equations
  • Cube-root equations
  • Solving equations by graphing

Trigonometry

  • Unit circle introduction
  • Radians
  • The Pythagorean Identity
  • Trigonometric values of special angles
  • Graphs of sin, cos, tan
  • Amplitube, midline, period
  • Transforming Sinusoidal graphs
  • Graphing Sinusoidal functions
  • Sinusoidal models

Modeling

  • Modeling with function combination
  • Interpreting features of functions
  • Manipulating Formulas
  • Modeling with equations and inequalities

Rational Functions

  • Canceling common factors
  • End behavior of rational functions
  • Discontinuities of rational functions
  • Graphs of rational functions
  • Modeling with rational functions
  • Multiplying and dividing rational expressions
  • Adding and subtracting rational expressions intro
  • Adding and subtracting rational expressions factored
  • Adding and subtracting rational expressions not factored