### 1: Graphs

#### 1.1: Rectangular Coordinates; Graphing Utilities; Introduction to Graphing Equations

Points in the Coordinate Plane - Activity A

#### 1.4: Lines

Slope-Intercept Form of a Line - Activity A

#### 1.5: Circles

Circles

### 2: Functions and Their Graphs

#### 2.1: Functions

Introduction to Functions

#### 2.2: The Graph of a Function

Introduction to Functions

#### 2.3: Properties of Functions

Introduction to Functions

#### 2.4: Library of Functions; Piecewise-defined Functions

Points in the Coordinate Plane - Activity A

#### 2.5: Graphing Techniques; Transformations

Points in the Coordinate Plane - Activity A

### 3: Linear and Quadratic Functions

#### 3.1: Linear Functions, Their Properties, and Linear Models

Linear Functions

Slope-Intercept Form of a Line - Activity A

#### 3.2: Building Linear Models from Data

Determining a Spring Constant

#### 3.3: Quadratic Functions and Their Properties

Quadratic Functions

### 4: Polynomial and Rational Functions

#### 4.1: Polynomial Functions and Models

Fourth-Degree Polynomials - Activity A

#### 4.3: The Graph of a Rational Functions

General Form of a Rational Function

Rational Functions

#### 4.5: The Real Zeros of a Polynomial Function

Polynomials and Linear Factors

### 5: Exponential and Logarithmic Functions

#### 5.3: Exponential Functions

Exponential Functions - Activity A

#### 5.4: Logarithmic Functions

Logarithmic Functions - Activity A

#### 5.8: Exponential Growth and Decay Models; Newton's Law; Logistic Growth and Decay Models

Disease Spread

Dye Elimination

Exponential Growth and Decay - Activity A

Half-life

Simple and Compound Interest

#### 5.9: Building Exponential, Logarithmic, and Logistic Models from Data

Disease Spread

Dye Elimination

Exponential Growth and Decay - Activity A

Half-life

Simple and Compound Interest

### 6: Trigonometric Functions

#### 6.2: Trigonometric Functions: Unit Circle Approach

Unit Circle

#### 6.4: Graphs of the Sine and Cosine Functions

Cosine Function

Sine Function

#### 6.5: Graphs of the Tangent, Cotangent, Cosecant, and Secant Functions

Tangent Function

#### 6.6: Phase Shift; Sinusoidal Curve Fitting

Translating and Scaling Sine and Cosine Functions - Activity A

### 7: Analytic Trigonometry

#### 7.3: Trigonometric Identities

Sum and Difference Identities for Sine and Cosine

#### 7.4: Sum and Difference Formulas

Simplifying Trigonometric Expressions

### 8: Applications of Trigonometric Functions

#### 8.5: Simple Harmonic Motion; Damped Motion; Combining Waves

Simple Harmonic Motion

Sound Beats and Sine Waves

### 9: Polar Coordinates; Vectors

#### 9.1: Polar Coordinates

Points in Polar Coordinates

#### 9.3: The Complex Plane; De Moivre's Theorem

Complex Numbers in Polar Form

#### 9.4: Vectors

Vectors

#### 9.5: The Dot Product

Vectors

### 10: Analytic Geometry

#### 10.2: The Parabola

Parabolas - Activity A

#### 10.3: The Ellipse

Ellipse - Activity A

#### 10.4: The Hyperbola

Hyperbola - Activity A

### 11: Systems of Equations and Inequalities

#### 11.1: Systems of Linear Equations: Substitution and Elimination

Systems of Linear Equations - Activity A

#### 11.7: Systems of Inequalities

System of Two Quadratic Inequalities

#### 11.8: Linear Programming

Linear Programming - Activity A

### 12: Sequences; Induction; the Binomial Theorem

#### 12.2: Arithmetic Sequences

Arithmetic Sequences

#### 12.3: Geometric Sequences; Geometric Series

Geometric Sequences

### 13: Counting and Probability

#### 13.2: Permutations and Combinations

Permutations

#### 13.3: Probability

Probability Simulations

Theoretical and Experimental Probability