1: Graphs

1.4: Solving Equations

Solving Formulas for any Variable

1.5: Solving Inequalities

Solving Linear Inequalities using Addition and Subtraction
Solving Linear Inequalities using Multiplication and Division

1.6: Lines

Slope-Intercept Form of a Line - Activity B

2: Functions and Their Graphs

2.1: Functions

Introduction to Functions

2.2: Linear functions and Models

Linear Functions

2.5: Graphing Techniques: Transformations

Translating and Scaling Functions

3: Polynomial and Rational Functions

3.1: Quadratic Functions and models

Quadratics in Polynomial Form - Activity A

3.3: Polynomial Functions and Models

Fourth-Degree Polynomials - Activity A

3.4: Rational Functions I

Rational Functions

3.5: Rational Functions II: Analyzing Graphs

General Form of a Rational Function

3.7: The Real Zeros of a Polynomial Function

Polynomials and Linear Factors

4: Exponential and Logarithmic functions

4.1: Exponential Functions

Exponential Functions - Activity B

4.2: Logarithmic Functions

Logarithmic Functions - Activity A

4.5: Compound Interest

Simple and Compound Interest

4.6: Growth and decay

Drug Dosage
Exponential Growth and Decay - Activity A

5: Trigonometric Functions

5.2: Trigonometric Functions: Unit Circle Approach

Unit Circle

5.4: Graphs of the Sine and Cosine Functions

Cosine Function
Sine Function

5.5: Graphs of the Tangent, Cotangent, Cosecant, and Secant Functions

Tangent Function

5.6: Phase Shifts; Sinusoidal Curve Fitting

Translating and Scaling Sine and Cosine Functions - Activity A

6: Analytic Trigonometry

6.4: Sum and Difference Formulas

Sum and Difference Identities for Sine and Cosine

7: Applications of Trigonometric Functions

7.1: Right Triangle Trigonometry

Addition of Polynomials - Activity B
Tangent Ratio

7.5: Simple Harmonic Motion; Damped Motion; Combining Waves

Period of Mass on a Spring
Simple Harmonic Motion
Sound Beats and Sine Waves

8: Polar Coordinates; Vectors

8.1: Polar Coordinates

Points in Polar Coordinates

8.4: Vectors

Vectors

9: Analytic Geometry

9.2: The Parabola

Parabolas - Activity A

9.3: The Ellipse

Ellipse - Activity A

9.4: The Hyperbola

Hyperbola - Activity A

10: Systems of Equations and Inequalities

10.1: Systems of Linear Equations: Two equations Containing Two Variables

Modeling Linear Systems - Activity B
Systems of Linear Equations - Activity A

10.8: Systems of Inequalities

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

10.9: Linear Programming

Linear Programming - Activity A

11: Sequences; Induction; The Binomial Theorem

11.2: Arithmetic Sequences

Arithmetic Sequences

11.3: Geometric Sequences; Geometric Series

Geometric Sequences

12: Counting and Probability

12.2: Permutations and Combinations

Permutations

12.4: Obtaining Probabilities from Data

Theoretical and Experimental Probability

13: A Preview of Calculus: The Limit, Derivative, and Integral of a Function

13.5: The Area Problem; the Integral

Riemann Sum