Chapter 1: Functions and Their Graphs

1.1. Rectangular Coordinates

Points in the Coordinate Plane - Activity A

1.2.Graphs of Equations

Using Tables, Rules and Graphs

1.3.Linear Equations in Two Variables

Slope-Intercept Form of a Line - Activity A

Point-Slope Form of a Line - Activity A

Standard Form of a Line - Activity A

1.4. Functions

Linear Functions

Introduction to Functions

1.5. Analyzing Graphs of Functions

Linear Functions

Introduction to Functions

1.6. A Library of Parent Functions

Fourth-Degree Polynomials - Activity A

Quadratic and Absolute Value Functions

Quadratics in Polynomial Form - Activity A

Functions Involving Square Roots

1.7. Transformations of Functions

Rotations, Reflections and Translations

Translating and Scaling Functions

1.8. Combinations of Functions: Composite Functions

Function Machine 1 (Functions and Tables)

Function Machines 2 (Functions, Tables, and Graphs)

1.6. Inverse Functions

Function Machines 3 (functions and Problem Solving)

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 and Models

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. Polynomials and Synthetic Division

Dividing Polynomials Using Synthetic Division- Activity A

2.4. Complex Numbers

Points in the Complex Plane - Activity A

2.5. Zeros of Polynomial Functions

Dividing Polynomials Using Synthetic Division

Polynomials and Linear Factors

2.6. Rational Functions

Rational Functions

General Form of a Rational Function

2.7. Nonlinear Inequalities

Inequalities Involving Absolute Values

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

3.3. Properties of Logarithms

Logarithmic Functions: Translating and Scaling

3.5. Exponential and Logarithmic Models

Exponential Growth and Decay - Activity A

Chapter 4: Trigonometry

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:Systems of Equations and Inequalities

7.1. Linear and Nonlinear Systems of Equations

Modeling Linear Systems - Activity A

7.2. Two Variable Linear System

Systems of Linear Equations - Activity A

Solving Linear Systems by Graphing

Special Types of Solutions to Linear Systems

7.6. Linear Programming

Linear Programming - Activity A

Chapter 9: Sequences, Series, and Probability

9.2. Arithmetic Sequences and Partial Sums

Arithmetic Sequences

9.3. Geometric Sequences and Series

Geometric Sequences

9.6. Counting Principles

Permutations

Permutations and Combinations

9.7. Probability

Probability Simulations

Geometric Probability - Activity A

Theoretical and Experimental Probability

Chapter 10: Topics in Analytic Geometry

10.2. Introduction to Conics: Parabolas

Parabolas - Activity B

Parabola with Horizontal Directrix

10.3. Ellipses

Ellipse - Activity A

10.4. Hyperbolas

Hyperbola - Activity A

10.7 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