1: Linear Functions

1.1: Parent Functions and Transformations

Exponential Functions
Introduction to Exponential Functions
Rational Functions
Translating and Scaling Functions
Translating and Scaling Sine and Cosine Functions
Translations

1.2: Transformations of Linear and Absolute Value Functions

Absolute Value with Linear Functions
Exponential Functions
Translating and Scaling Functions

1.3: Modeling with Linear Functions

Arithmetic Sequences
Compound Interest
Function Machines 1 (Functions and Tables)
Function Machines 2 (Functions, Tables, and Graphs)
Function Machines 3 (Functions and Problem Solving)

1.4: Solving Linear Systems

Cat and Mouse (Modeling with Linear Systems)
Solving Equations by Graphing Each Side
Solving Linear Systems (Matrices and Special Solutions)
Solving Linear Systems (Slope-Intercept Form)
Solving Linear Systems (Standard Form)

2: Quadratic Functions

2.1: Transformations of Quadratic Functions

Exponential Functions
Translating and Scaling Functions
Translations

2.2: Characteristics of Quadratic Functions

Addition and Subtraction of Functions
Graphs of Polynomial Functions
Quadratics in Factored Form
Quadratics in Polynomial Form
Translating and Scaling Functions

2.3: Focus of a Parabola

Parabolas

2.4: Modeling with Quadratic Equations

Addition and Subtraction of Functions
Estimating Population Size

3: Quadratic Equations and Complex Numbers

3.1: Solving Quadratic Equations

Roots of a Quadratic

3.2: Complex Numbers

Points in the Complex Plane
Roots of a Quadratic

3.3: Completing the Square

Circles

3.4: Using the Quadratic Formula

Roots of a Quadratic

3.6: Quadratic Inequalities

Quadratic Inequalities

4: Polynomial Functions

4.1: Graphing Polynomial Functions

Graphs of Polynomial Functions
Polynomials and Linear Factors
Quadratics in Factored Form

4.2: Adding, Subtracting, and Multiplying Polynomials

Addition and Subtraction of Functions
Addition of Polynomials
Modeling the Factorization of x²+bx+c

4.3: Dividing Polynomials

Dividing Polynomials Using Synthetic Division

4.4: Factoring Polynomials

Factoring Special Products
Modeling the Factorization of ax²+bx+c
Modeling the Factorization of x²+bx+c

4.9: Modeling with Polynomials Functions

Graphs of Polynomial Functions
Quadratics in Factored Form

5: Rational Exponents and Radical Functions

5.2: Properties of Rational Exponents and Radicals

Operations with Radical Expressions
Simplifying Radical Expressions
Square Roots

5.3: Graphing Radical Functions

Radical Functions

5.4: Solving Radical Equations and Inequalities

Radical Functions

5.5: Performing Function Operations

Addition and Subtraction of Functions

5.6: Inverse of a Function

Function Machines 3 (Functions and Problem Solving)
Logarithmic Functions

6: Exponential and Logarithmic Functions

6.1: Exponential Growth and Decay Functions

Compound Interest

6.3: Logarithms and Logarithmic Functions

Logarithmic Functions

6.4: Transformations of Exponential and Logarithmic Functions

Exponential Functions
Introduction to Exponential Functions

6.6: Solving Exponential and Logarithmic Equations

Exponential Functions

6.7: Modeling with exponential and Logarithmic Functions

Exponential Functions

7: Rational Functions

7.1: Inverse Variation

Direct and Inverse Variation

7.2: Graphing Rational Functions

General Form of a Rational Function
Rational Functions

8: Sequences and Series

8.1: Defining and Using Sequences and Series

Arithmetic Sequences
Geometric Sequences
Pattern Finder

8.2: Analyzing Arithmetic Sequences and Series

Arithmetic Sequences
Arithmetic and Geometric Sequences

8.3: Analyzing Geometric Sequences and Series

Arithmetic and Geometric Sequences
Geometric Sequences

8.5: Using Recursive Rules with Sequences

Arithmetic Sequences
Geometric Sequences

9: Trigonometric Ratios and Functions

9.1: Right Triangle Trigonometry

Cosine Function
Sine Function
Sine, Cosine, and Tangent Ratios
Tangent Function

9.3: Trigonometric Functions of Any Angle

Cosine Function
Sine Function
Sine, Cosine, and Tangent Ratios
Tangent Function

9.4: Graphing Sine and Cosine Functions

Translating and Scaling Sine and Cosine Functions

9.5: Graphing Other Trigonometric Functions

Cosine Function
Distance-Time Graphs
Quadratics in Polynomial Form
Simplifying Trigonometric Expressions
Sine Function
Sine, Cosine, and Tangent Ratios
Tangent Function

9.6: Modeling with Trigonometric Functions

Sine, Cosine, and Tangent Ratios

9.7: Using Trigonometric Identities

Simplifying Trigonometric Expressions
Sum and Difference Identities for Sine and Cosine

9.8: Using Sum and Difference Formulas

Sum and Difference Identities for Sine and Cosine

10: Probability

10.1: Sample Spaces and Probability

Probability Simulations
Spin the Big Wheel! (Probability)
Theoretical and Experimental Probability

10.2: Independent and Dependent Events

Independent and Dependent Events

10.4: Probability of Disjoint and Overlapping Events

Probability Simulations
Spin the Big Wheel! (Probability)
Theoretical and Experimental Probability

10.5: Permutations and Combinations

Binomial Probabilities
Permutations and Combinations

10.6: Binomial Distributions

Binomial Probabilities

11: Data Analysis and Statistics

11.1: Using Normal Distributions

Polling: City
Populations and Samples
Sight vs. Sound Reactions

11.3: Collecting Data

Describing Data Using Statistics

11.4: Experimental Design

Real-Time Histogram
Time Estimation

11.5: Making Inferences from Sample Surveys

Polling: City
Polling: Neighborhood