1: Linear Functions and Systems

1.1: Key Features of Functions

Absolute Value with Linear Functions
Quadratics in Polynomial Form

1.2: Transformations of Functions

Translating and Scaling Functions

1.4: Arithmetic Sequences and Series

Arithmetic Sequences
Arithmetic and Geometric Sequences

1.5: Solving Equations and Inequalities by Graphing

Absolute Value Equations and Inequalities
Quadratic Inequalities
Solving Equations by Graphing Each Side

1.6: Linear Systems

Solving Linear Systems (Matrices and Special Solutions)
Solving Linear Systems (Standard Form)
Systems of Linear Inequalities (Slope-intercept form)

2: Quadratic Functions and Equations

2.1: Vertex Form of a Quadratic Function

Quadratics in Vertex Form
Zap It! Game

2.2: Standard Form of a Quadratic Function

Quadratics in Polynomial Form
Zap It! Game

2.3: Factored Form of a Quadratic Function

Quadratics in Factored Form

2.4: Complex Numbers and Operations

Points in the Complex Plane

2.6: The Quadratic Formula

Roots of a Quadratic

3: Polynomial Functions

3.1: Graphing Polynomial Functions

Graphs of Polynomial Functions

3.2: Adding, Subtracting, and Multiplying Polynomials

Addition and Subtraction of Functions
Addition of Polynomials

3.3: Polynomial Identities

Factoring Special Products

3.4: Dividing Polynomials

Dividing Polynomials Using Synthetic Division

3.5: Zeros of Polynomial Functions

Polynomials and Linear Factors

3.7: Transformations of Polynomial Functions

Graphs of Polynomial Functions

4: Rational Functions

4.1: Inverse Variation and the Reciprocal Function

Direct and Inverse Variation
Rational Functions

4.2: Graphing Rational Functions

General Form of a Rational Function
Rational Functions

5: Rational Exponents and Radical Functions

5.2: Properties of Exponents and Radicals

Dividing Exponential Expressions
Exponents and Power Rules
Multiplying Exponential Expressions

5.3: Graphing Radical Functions

Radical Functions

5.4: Solving Radical Equations

Radical Functions

5.5: Function Operations

Addition and Subtraction of Functions

6: Exponential and Logarithmic Functions

6.1: Key Features of Exponential Functions

Exponential Functions
Exponential Growth and Decay
Introduction to Exponential Functions

6.2: Exponential Models

Compound Interest
Exponential Growth and Decay

6.3: Logarithms

Logarithmic Functions

6.4: Logarithmic Functions

Logarithmic Functions
Logarithmic Functions: Translating and Scaling

6.7: Geometric Sequences and Series

Arithmetic and Geometric Sequences
Geometric Sequences

7: Trigonometric Functions

7.1: Trigonometric Functions and Acute Angles

Sine, Cosine, and Tangent Ratios

7.2: Angles and the Unit Circle

Cosine Function
Radians
Sine Function

7.3: Trigonometric Functions and Real Numbers

Cosine Function
Sine Function
Tangent Function

7.4: Graphing Sine and Cosine Functions

Cosine Function
Sine Function
Translating and Scaling Sine and Cosine Functions

7.5: Graphing Other Trigonometric Functions

Tangent Function

7.6: Translating Trigonometric Functions

Translating and Scaling Sine and Cosine Functions

8: Trigonometric Equations and Identities

8.3: Trigonometric Identities

Cosine Function
Simplifying Trigonometric Expressions
Sine Function
Sum and Difference Identities for Sine and Cosine
Tangent Function

8.4: The Complex Plane

Points in the Complex Plane

9: Conic Sections

9.1: Parabolas

Parabolas

9.2: Circles

Circles

9.3: Ellipses

Ellipses

9.4: Hyperbolas

Hyperbolas

10: Matrices

10.1: Operations With Matrices

Dilations
Translations

10.3: Vectors

Adding Vectors
Vectors

10.5: Inverse Matrices and Systems of Equations

Solving Linear Systems (Matrices and Special Solutions)

11: Data Analysis and Statistics

11.3: Data Distributions

Box-and-Whisker Plots
Polling: City
Populations and Samples
Real-Time Histogram

11.4: Normal Distributions

Polling: City
Populations and Samples

11.5: Margin of Error

Polling: City

12: Probability

12.1: Probability Events

Geometric Probability
Independent and Dependent Events

12.2: Conditional Probability

Independent and Dependent Events

12.3: Permutations and Combinations

Permutations and Combinations

12.4: Probability Distributions

Binomial Probabilities
Lucky Duck (Expected Value)

12.5: Expected Value

Lucky Duck (Expected Value)

12.6: Probability and Decision Making

Lucky Duck (Expected Value)