### 1: Expressions, Equations, and Inequalities

#### 1.1: Patterns and Expressions

Arithmetic and Geometric Sequences

#### 1.4: Solving Equations

Solving Formulas for any Variable

Solving Two-Step Equations

#### 1.6: Absolute Value Equations and Inequalities

Inequalities Involving Absolute Values

### 2: Functions, Equations, and Graphs

#### 2.1: Relations and Functions

Introduction to Functions

#### 2.2: Direct Variation

Direct Variation

#### 2.3: Linear Functions and Slope-Intercept Form

Linear Functions

Slope-Intercept Form of a Line - Activity A

#### 2.4: More About Linear Equations

Point-Slope Form of a Line - Activity A

Standard Form of a Line

#### 2.5: Using Linear Models

Determining a Spring Constant

#### 2.6: Families of Functions

Translating and Scaling Functions

#### 2.7: Absolute Value Functions and Graphs

Absolute Value with Linear Functions - Activity A

Quadratic and Absolute Value Functions

#### 2.8: Two-Variable Inequalities

Linear Inequalities in Two Variables - Activity A

### 3: Linear Systems

#### 3.1: Solving Systems Using Tables and Graphs

Solving Linear Systems by Graphing

#### 3.2: Solving Systems Algebraically

Systems of Linear Equations - Activity A

#### 3.3: Systems of Inequalities

System of Two Quadratic Inequalities

Systems of Linear Inequalities (Slope-intercept form) - Activity A

#### 3.4: Linear Programming

Linear Inequalities in Two Variables - Activity A

### 4: Quadratic Functions and Equations

#### 4.1: Quadratic Functions and Transformations

Quadratics in Vertex Form - Activity A

#### 4.2: Standard Form of a Quadratic Function

Quadratic Functions

#### 4.4: Factoring Quadratic Expressions

Factoring Special Products

Modeling the Factorization of *ax*^{2}+*bx*+*c*

Modeling the Factorization of *x*^{2}+*bx*+*c*

#### 4.5: Quadratic Equation

Roots of a Quadratic

#### 4.7: The Quadratic Formula

Roots of a Quadratic

#### 4.9: Quadratic Systems

System of Two Quadratic Inequalities

### 5: Polynomials and Polynomial Functions

#### 5.1: Polynomial Functions

Fourth-Degree Polynomials - Activity A

#### 5.2: Polynomials, Linear Factors, and Zeros

Polynomials and Linear Factors

#### 5.4: Dividing Polynomials

Dividing Polynomials Using Synthetic Division

### 6: Radical Functions and Rational Exponents

#### 6.1: Roots and Radical Expressions

Simplifying Radicals - Activity B

#### 6.2: Multiplying and Dividing Radical Expressions

Operations with Radical Expressions

#### 6.8: Graphing Radical Functions

Radical Functions

### 7: Exponential and Logarithmic Functions

#### 7.1: Exploring Exponential Models

Exponential Growth and Decay - Activity A

Half-life

Simple and Compound Interest

#### 7.2: Properties of Exponential Functions

Exponential Functions - Activity B

#### 7.3: Logarithmic Functions as Inverses

Logarithmic Functions - Activity A

#### 7.4: Properties of Logarithms

Logarithmic Functions: Translating and Scaling

### 8: Rational Functions

#### 8.1: Inverse Variation

Direct and Inverse Variation

#### 8.3: Rational Functions and Their Graphs

General Form of a Rational Function

Rational Functions

### 9: Sequences and Series

#### 9.1: Mathematical Patterns

Finding Patterns

#### 9.2: Arithmetic Sequences

Arithmetic Sequences

#### 9.3: Geometric Sequences

Geometric Sequences

### 10: Quadratic Relations and Conic Sections

#### 10.2: Parabolas

Parabolas - Activity A

#### 10.3: Circles

Circles

#### 10.4: Ellipses

Ellipse - Activity A

#### 10.5: Hyperbolas

Hyperbola - Activity A

### 11: Probability and Statistics

#### 11.1: Permutations and Combinations

Permutations

Permutations and Combinations

#### 11.2: Probability

Theoretical and Experimental Probability

#### 11.3: Probability of Multiple Events

Compound Independent Events

#### 11.4: Conditional Probability

Compound Independent and Dependent Events

#### 11.6: Analyzing Data

Box-and-Whisker Plots

Describing Data Using Statistics

#### 11.8: Samples and Surveys

Polling: City

Polling: Neighborhood

Populations and Samples

### 12: Matrices

#### 12.5: Geometric Transformations

Dilations

Rotations, Reflections and Translations

Translations

#### 12.6: Vectors

Adding Vectors

Vectors

### 13: Periodic Functions and Trigonometry

#### 13.2: Angles and the Unit Circle

Unit Circle

#### 13.4: The Sine Function

Sine Function

#### 13.5: The Cosine Function

Cosine Function

#### 13.6: The Tangent Function

Tangent Function

#### 13.7: Translating Sine and Cosine Functions

Translating and Scaling Sine and Cosine Functions - Activity A

### 14: Trigonometric Identities and Equations

#### 14.1: Trigonometric Identities

Simplifying Trigonometric Expressions

Sum and Difference Identities for Sine and Cosine

#### 14.3: Right Triangles and Trigonometric Ratios

Sine and Cosine Ratios - Activity B

#### 14.6: Angle Identities

Sum and Difference Identities for Sine and Cosine