# Algebra 2

## 1. Expressions, Equations, and Inequalities

1.1 Properties of Real Numbers 1.2 Expressions 1.3 Equations 1.4 Inequalities 1.5 Absolute Value Equations and Inequalities

## 2. Linear Functions

2.1 Relations and Functions 2.2 Direct Proportion 2.3 Slope and Rate of Change 2.4 Writing and Graphing Linear Equations 2.5 Linear Models 2.6 Parent Functions and Transformations 2.7 Piecewise-Defined Functions and Step Functions 2.8 Graphing Inequalities

## 3. Linear Systems

3.1 Linear Systems of Equations 3.2 Linear Systems of Inequalities 3.3 Linear Systems in Three Variables 3.4 Linear Programming

## 4. Matrices

4.1 Basic operations with Matrices 4.2 Matrix Multiplication 4.3 Determinants and Cramer's Rule 4.4 Systems of Equations and Inverse Matrices

## 6. Polynomials and Polynomial Functions

6.1 Polynomial Functions and their Graphs 6.2 Basic operations with Polynomials 6.3 Dividing Polynomials 6.4 Factoring Polynomials 6.5 Polynomial Equations 6.6 Remainder and Factor Theorems 6.7 Roots and Zeros of a Polynomial Function 6.8 The Fundamental Theorem of Algebra 6.9 The Binomial Theorem 6.10 Polynomial Models 6.11 Transforming Polynomial Functions

7.1 Roots, Radicals, and Rational Exponents 7.2 Properties of Radicals and Exponents 7.3 Operations with Radical Expressions 7.4 Graphs of Radical Functions 7.5 Radical Equations and Inequalities 7.6 Operations on Functions 7.7 Inverse Relations and Functions

## 8. Exponential and Logarithmic Functions

8.1 Key Features and Graphs of Exponential Functions 8.2 The Natural Base e 8.3 Logarithms and Logarithmic Functions 8.4 Properties of Logarithms 8.5 Natural Logarithms 8.6 Exponential and Logarithmic Equations and Inequalities 8.7 Exponential and Logarithmic Models

## 9. Rational Functions

9.1 Inverse Proportion 9.2 Reciprocal Functions 9.3 Graphing Rational Functions 9.4 Mulitplying and Dividing Rational Functions 9.5 Adding and Subtracting Rational Functions 9.6 Solving Rational Equations and Inequalities

## 10. Sequences and Series

10.1 About Sequences and Series 10.2 Arithmetic Sequences and Series 10.3 Geometric Sequences and Series 10.4 Infinite Geometric Series 10.5 Recursive Rules

## 11. Conic Sections

11.1 Midpoint and Distance Formulas 11.2 Parabolas 11.2 Circles 11.3 Ellipses 11.4 Hyperbolas 11.5 Classifying Conic Sections

## 12. Trigonometric Functions

12.1 Right Angle Trigonometry 12.2 Angles, Angle Measure and Units Circle 12.3 Trigonometric Functions of any Angle 12.4 Trigonometric Functions and their Graphs 12.5 Tranlations of Graphs of Trigonometric Functions 12.6 Periodic Data and Functions 12.7 Inverse Trigonometric Functions 12.8 Law of Sines 12.9 Law of Cosines 12.10 Modeling with Trigonometric Functions

## 13. Trigonometric Identities and Equations

13.1 Trigonometric Identities 13.2 Sum and Difference Angle Identities 13.3 Double-Angle and Half-Angle Identities 13.4 Trigonometric Equations

## 14. Probability

14.1 Counting Principles 14.2 Probability 14.3 Probabilities of Multiple Events 14.4 Binomial Distributions

## 15. Statistics

15.1 Samples and Collecting Data 15.2 Analyzing Data 15.3 Normal Distributions