1: Investigations and Functions

1.1: Section 1.1

1.1.2: Using a Graphing Calculator to Explore a Function

Radical Functions

1.1.3: Function Investigation

General Form of a Rational Function
Rational Functions

1.1.4: Combining Linear Functions

Addition and Subtraction of Functions

1.2: Section 1.2

1.2.3: Describing Data

Box-and-Whisker Plots
Real-Time Histogram

2: Transformations of Parent Graphs

2.1: Section 2.1

2.1.1: Transformig Quadratric Functions

Quadratics in Polynomial Form
Quadratics in Vertex Form

2.2: Section 2.2

2.2.1: Transforming Other Parent Graphs

Exponential Functions
Radical Functions
Rational Functions
Translating and Scaling Functions

2.2.2: Describing (h, k) for Each Family of Functions

Quadratics in Vertex Form
Radical Functions
Translating and Scaling Functions

2.2.3: Transformations of Functions

Graphs of Polynomial Functions

2.2.4: Transforming Non-Functions

Circles

3: Solving and Inequalities

3.1: Section 3.1

3.1.1: Strategies for Solving Equations

Absolute Value Equations and Inequalities
Quadratics in Vertex Form
Roots of a Quadratic

3.1.3: Multiple Solutions to Systems of Equations

Solving Linear Systems (Matrices and Special Solutions)
Solving Linear Systems (Standard Form)

3.2: Section 3.2

3.2.1: Solving Inequalities with One or Two Variables

Absolute Value Equations and Inequalities
Quadratic Inequalities

3.2.2: Using Systems to Solve a Problem

Linear Programming

3.2.3: Applications of Systems of Inequalities

Linear Programming

4: Normal Distributions and Geometric Modeling

4.1: Section 4.1

4.1.2: Samples and the Role of Randomness

Polling: City
Polling: Neighborhood
Populations and Samples

4.3: Section 4.3

4.3.1: Relative Frequency Histograms

Histograms

4.3.2: The Normal Probability Density Function

Polling: City
Populations and Samples

5: Inverses and Logarithms

5.1: Section 5.1

5.1.1: "Undo" Equations

Function Machines 1 (Functions and Tables)

5.2: Section 5.2

5.2.1: The Inverse of an Exponential Function

Logarithmic Functions

5.2.2: Defining the Inverse of an Exponential Function

Logarithmic Functions

5.2.3: Investigating the Family of Logarithmic Functions

Logarithmic Functions

5.2.4: Transformations of Logarithmic Functions

Logarithmic Functions: Translating and Scaling

6: Simulating Sampling Variability

6.1: Section 6.1

6.1.1: Simulations of Probability

Probability Simulations
Theoretical and Experimental Probability

6.1.2: More Simulations of Probability

Spin the Big Wheel! (Probability)

6.1.3: Simulating Sampling Variability

Polling: City

6.2: Section 6.2

6.2.1: Statistical Test Using Sampling Variability

Polling: Neighborhood

6.2.2: Variability in Experimental Results

Polling: Neighborhood

7: Logarithms and Triangles

7.1: Section 7.1

7.1.1: Using Logarithms to Solve Exponential Equations

Logarithmic Functions

7.1.3: Writing Equations of Exponential Functions

Compound Interest

7.2: Section 7.2

7.2.1: Determining Missing Parts of Triangles

Pythagorean Theorem
Pythagorean Theorem with a Geoboard
Sine, Cosine, and Tangent Ratios

7.2.4: The Ambiguous Case

Proving Triangles Congruent
Triangle Inequalities

8: Polynomials

8.1: Section 8.1

8.1.1: Sketching Graphs of Polynomial Functions

Graphs of Polynomial Functions
Polynomials and Linear Factors

8.1.2: More Graphs of Polynomial Functions

Graphs of Polynomial Functions
Polynomials and Linear Factors

8.2: Section 8.2

8.2.1: Writing Equations Using Complex Roots

Points in the Complex Plane
Quadratics in Vertex Form
Roots of a Quadratic

8.2.2: More Real and Complex Roots

Graphs of Polynomial Functions

8.3: Section 8.3

8.3.1: Polynomial Division

Dividing Polynomials Using Synthetic Division

8.3.2: Factors and Rational Zeros

Graphs of Polynomial Functions

8.3.4: Special Cases of Factoring

Factoring Special Products

9: Trigonometric Functions

9.1: Section 9.1

9.1.2: Graphing the Sine Function

Sine Function

9.1.3: Unit Circle <---> Graph

Sine Function

9.1.4: Graphing and Interpreting the Cosine Function

Cosine Function

9.1.5: Defining a Radian

Radians

9.1.6: Building a Unit Circle

Cosine Function
Sine Function

9.1.7: The Tangent Function

Tangent Function

9.2: Section 9.2

9.2.1: Transformations of y = sin(x)

Translating and Scaling Sine and Cosine Functions

9.2.2: One More Parameter for a Periodic Function

Translating and Scaling Sine and Cosine Functions

9.2.3: Period of a Trigonometric Function

Translating and Scaling Sine and Cosine Functions

9.2.4: Graph <---> Equation

Translating and Scaling Sine and Cosine Functions

10: Series

10.1: Section 10.1

10.1.1: Introduction to Arithmetic Series

Arithmetic Sequences
Arithmetic and Geometric Sequences

10.2: Section 10.2

10.2.1: Geometric Series

Arithmetic and Geometric Sequences
Geometric Sequences

10.3: Section 10.3

10.3.1: Using a Binomial Probability Model

Binomial Probabilities
Permutations and Combinations

10.3.2: Pascal's Triangle and the Binomial Theorem

Binomial Probabilities

10.3.3: The Number e

Compound Interest
Logarithmic Functions

12: Analytic Trigonometry

12.1: Section 12.1

12.1.2: Solutions to Trigonometric Equations

Cosine Function
Tangent Function

12.2: Section 12.2

12.2.1: Trigonometric Identities

Simplifying Trigonometric Expressions

12.2.2: Proving Trigonometric Identities

Simplifying Trigonometric Expressions

12.2.3: Angle Sum and Difference Identities

Sum and Difference Identities for Sine and Cosine