Algebra II

Pre-Requisites

Algebra I OR Algebra I Part I and Algebra I Part II

Geometry OR Applied Geometry

Description

This upper level course develops advanced algebra skills and builds a foundation of mathematics for those students going on to Trigonometry and/or students who are college bound.

Textbook

Algebra II Common Core (Pearson 2015)

Course Outline

Chapter 1 - Expressions, Equations & Inequalities

Algebraic Expressions

Chapter 2 - Functions, Equations, and Graphs

Direct Variation

Linear Functions and Slope-Intercept Form

Families of Functions

Absolute Value Functions and Graphs

Chapter 3 - Linear Systems

Solving Systems Using Tables and Graphs

Solving Systems Algebraically

Systems of Inequalities

Linear Programming

Systems with Three Variables

Solving Systems Using Matrices

Chapter 4 - Quadratic Functions and Equations

Quadratic Functions and Transformations

Standard Form of a Quadratic Function

Modeling with Quadratic Functions

Factoring Quadratic Expressions

Quadratic Equations

Square Roots and Simplifying Radicals

Completing the Square

Quadratic Formula

Complex Numbers

Quadratic Systems

Chapter 5 - Polynomials and Polynomial Functions

Polynomial Functions

Polynomials, Linear Factors, and Zeros

Solving Polynomial Equations

Dividing Polynomials

Theorems About Roots of Polynomial Equations

The Fundamental Theorem of Algebra

The Binomial Theorem

Transforming Polynomial Functions

Chapter 6 - Radical Functions & Rational Exponents

Properties of Exponents

Roots and Radical Expressions

Multiplying and Dividing Radical Expressions

Binomial Radical Expressions

Rational Exponents

Solving Square Root and Other Radical Equations

Function Operations

Inverse Relations and Functions

Graphing Radical Functions

Chapter 7 - Exponential and Logarithmic Functions

Exploring Exponential Models

Logarithmic Functions as Inverses

Properties of Logarithms

Exponential and Logarithmic Equations

Natural Logarithms

Chapter 8 - Rational Functions

Inverse Variation

Rational Expressions

Adding and Subtracting Rational Expressions

Solving Rational Equations

Chapter 9 - Sequences and Series

Mathematical Patterns

Arithmetic Sequences

Geometric Sequences

Arithmetic Series

Geometric Series