1: Number Patterns

1.1: Real Numbers, Relations, and Functions

Introduction to Functions
Linear Functions

1.2: Mathematical Patterns

Arithmetic Sequences
Arithmetic and Geometric Sequences
Geometric Sequences

1.3: Arithmetic Sequences

Arithmetic Sequences
Arithmetic and Geometric Sequences

1.4: Lines

Linear Functions
Point-Slope Form of a Line - Activity A
Slope-Intercept Form of a Line - Activity A
Using Tables, Rules and Graphs

1.5: Linear Models

Linear Functions
Point-Slope Form of a Line - Activity A
Slope-Intercept Form of a Line - Activity A
Using Tables, Rules and Graphs

1.6: Geometric Sequences

Arithmetic and Geometric Sequences
Geometric Sequences

2: Equations and Inequalities

2.1: Solving Equations Graphically

Modeling One-Step Equations - Activity A
Modeling and Solving Two-Step Equations
Point-Slope Form of a Line - Activity A
Slope-Intercept Form of a Line - Activity A
Solving Two-Step Equations

2.5: Inequalities

Inequalities Involving Absolute Values
Linear Inequalities in Two Variables - Activity A
Linear Programming - Activity A
Solving Linear Inequalities using Addition and Subtraction
Solving Linear Inequalities using Multiplication and Division
Systems of Linear Inequalities (Slope-intercept form) - Activity A

3: Functions and Graphs

3.1: Functions

Introduction to Functions
Linear Functions

3.2: Graphs of Functions

Fourth-Degree Polynomials - Activity A
Functions Involving Square Roots
Quadratic and Absolute Value Functions
Quadratics in Polynomial Form - Activity A

3.3: Quadratic Functions

Parabolas - Activity A
Quadratic and Absolute Value Functions
Quadratics in Factored Form
Quadratics in Polynomial Form - Activity A
Roots of a Quadratic

3.4: Graphs and Transformations

Absolute Value with Linear Functions - Activity B
Reflections of a Linear Function
Reflections of a Quadratic Function
Rotations, Reflections and Translations
Translating and Scaling Functions
Translating and Scaling Sine and Cosine Functions - Activity A

3.6: Inverse Functions

Logarithmic Functions - Activity A

4: Polynomial and Rational Functions

4.1: Polynomial Functions

Cubic Function Activity
Fourth-Degree Polynomials - Activity A

4.2: Real Zeros

Cubic Function Activity
Dividing Polynomials Using Synthetic Division
Fourth-Degree Polynomials - Activity A
Polynomials and Linear Factors

4.3: Graphs of Polynomial Functions

Cubic Function Activity
Fourth-Degree Polynomials - Activity A

4.4: Rational Functions

General Form of a Rational Function
Rational Functions

5: Exponential and Logarithmic Functions

5.2: Exponential Functions

Exponential Functions - Activity A
Exponential Growth and Decay - Activity B

5.3: Applications of Exponential Functions

Exponential Functions - Activity A
Exponential Growth and Decay - Activity B
Half-life

5.4: Common and Natural Logarithmic Functions

Logarithmic Functions - Activity A
Logarithmic Functions: Translating and Scaling

5.7: Exponential, Logarithmic, and Other Models

Exponential Functions - Activity A
Exponential Growth and Decay - Activity B
Half-life
Logarithmic Functions - Activity A
Logarithmic Functions: Translating and Scaling

6: Trigonometry

6.1: Right-Triangle Trigonometry

Sine and Cosine Ratios - Activity A
Sine, Cosine and Tangent
Tangent Ratio

6.3: Angles and Radian Measure

Unit Circle

6.4: Trigonometric Functions

Cosine Function
Sine Function
Tangent Function
Unit Circle

6.5: Basic Trigonometric Identities

Simplifying Trigonometric Expressions
Sum and Difference Identities for Sine and Cosine

7: Trigonometric Graphs

7.1: Graphs of the Sine, Cosine, and Tangent Functions

Cosine Function
Sine Function
Tangent Function
Unit Circle

7.3: Periodic Graphs and Amplitude

Translating and Scaling Functions
Translating and Scaling Sine and Cosine Functions - Activity A
Unit Circle

7.4: Periodic Graphs and Phase Shifts

Translating and Scaling Functions
Translating and Scaling Sine and Cosine Functions - Activity A
Unit Circle

9: Trigonometric Identities and Proof

9.2: Addition and Subtraction Identities

Sum and Difference Identities for Sine and Cosine

10: Trigonometric Applications

10.3: The Complex Plane and Polar Form for Complex Numbers

Complex Numbers in Polar Form

10.5: Vectors in the Plane

Vectors

11: Analytic Geometry

11.1: Ellipses

Ellipse - Activity A

11.2: Hyperbolas

Hyperbola - Activity A

11.3: Parabolas

Parabolas - Activity A

11.5: Polar Coordinates

Complex Numbers in Polar Form
Points in Polar Coordinates

13: Statistics and Probability

13.2: Measures of Center and Spread

Box-and-Whisker Plots
Describing Data Using Statistics
Line Plots
Mean, Median and Mode

13.3: Basic Probability

Binomial Probabilities
Geometric Probability - Activity A
Probability Simulations

13.4: Determining Probabilities

Binomial Probabilities
Geometric Probability - Activity A
Probability Simulations