### Chapter 1: Functions and Their Graphs

#### 1.2. Functions

Linear Functions

Introduction to Functions

#### 1.3. Graphs of Functions

Fourth-Degree Polynomials - Activity A

Quadratic and Absolute Value Functions

Quadratics in Polynomial Form - Activity A

Functions Involving Square Roots

#### 1.4. Shifting, Reflecting, and Stretching Graphs

Rotations, Reflections and Translations

Translating and Scaling Functions

#### 1.6. Inverse Functions

Logarithmic Functions - Activity A

#### 1.7. Linear Models and Scatter Plots

Determining a Spring Constant

### Chapter 2: Polynomial and Rational Functions

#### 2.1. Quadratic Functions

Quadratic Functions

Quadratics in Polynomial Form - Activity A

Quadratics in Factored Form

Roots of a Quadratic

Quadratics in Vertex Form - Activity A

#### 2.2. Polynomial Functions of Higher Degree

Fourth-Degree Polynomials - Activity A

Cubic Function Activity

#### 2.3. Real Zeros of Polynomial Functions

Dividing Polynomials Using Synthetic Division

Polynomials and Linear Factors

#### 2.6. Rational Functions and Asymptotes

Rational Functions

General Form of a Rational Function

#### 2.7. Graphs of Rational Functions

Rational Functions

General Form of a Rational Function

### Chapter 3: Exponential and Logarithmic Functions

#### 3.1. Exponential Functions and Their Graphs

Exponential Functions - Activity A

Exponential Growth and Decay - Activity A

#### 3.2. Logarithmic Functions and Their Graphs

Logarithmic Functions - Activity A

#### 3.5. Exponential and Logarithmic Models

Exponential Growth and Decay - Activity A

### Chapter 4: Trigonometric Functions

#### 4.2. Trigonometric Functions: The Unit Circle

Unit Circle

#### 4.3. Right Triangle Trigonometry

Sine and Cosine Ratios - Activity A

Sine, Cosine and Tangent

#### 4.4. Trigonometric Functions of Any Angle

Cosine Function

Sine Function

Tangent Function

#### 4.5. Graphs of Sine and Cosine Functions

Cosine Function

Sine Function

#### 4.6. Graphs of Other Trigonometric Functions

Tangent Function

### Chapter 5: Analytic Trigonometry

#### 5.2. Verifying Trigonometric Identities

Simplifying and Verifying Trigonometric Functions

#### 5.4. Sum and Difference Formulas

Sum and Difference Identities for Sine and Cosine

### Chapter 6: Additional Topics in Trigonometry

#### 6.3. Vectors in the Plane

Adding Vectors

#### 6.4. Vectors and Dot Products

Vectors

#### 6.5. Trigonometric Form of a Complex Number

Absolute Value of a Complex Number

### Chapter 7: Linear Systems and Matrices/h3>

#### 7.1. Solving Systems of Equations

Modeling Linear Systems - Activity A

Solving Linear Systems by Graphing

Systems of Linear Equations - Activity A

#### 7.2. Systems of Linear Equations in Two Variables

Systems of Linear Equations - Activity A

### Chapter 8: Sequences, Series, and Probability

#### 8.1. Sequences and Series

Arithmetic and Geometric Sequences

#### 8.2. Arithmetic Sequences and Partial Sums

Arithmetic Sequences

#### 8.3. Geometric Sequences and Series

Geometric Sequences

#### 8.6. Counting Principles

Permutations

Permutations and Combinations

#### 8.7. Probability

Probability Simulations

Geometric Probability - Activity A

Theoretical and Experimental Probability

### Chapter 9: Topics in Analytic Geometry

#### 10.1. Circles and Parabolas

Circles

Parabolas - Activity B

Parabola with Horizontal Directrix

#### 9.2. Ellipses

Ellipse - Activity A

#### 9.3. Hyperbolas

Hyperbola - Activity A

#### 9.4. Rotation and Systems of Quadratic Equations

System of Two Quadratic Inequalities

#### 9.6 Polar Coordinates

Points in Polar Coordinates

### Chapter 10: Analytic Geometry in Three Dimensions

#### 10.4. Lines and Planes in Space

Investigating Parallel Lines and Planes

### Chapter 12: Limits and an Introduction to Calculus

#### 11.5. The Area Problem

Riemann Sum