Chapter P. Prerequisites

P.1. Real Numbers

Real Number Line - Activity A

P.2. Exponents and Radicals

Multiplying Exponential Expressions

Dividing Exponential Expressions

Operations with Radical Expressions

P.3. Polynomials and Special Products

Addition and Subtraction of Polynomials

Addition of Polynomials - Activity B

Factoring Special Products

P.4. Factoring

Modeling the Factorization of ax²+bx+c

Modeling the Factorization of x²+bx+c

P.5. Rational Expressions

Rational Functions

General Form of a Rational Function

P.7. Graphical Representation of Data

Line Plots

Constructing Box-and-Whisker Plots

Histograms

Stem-and-Leaf Plots

Scatter Plots - Activity A

Chapter 1. Equations and Inequalities

1.1. Graphs of Equations

Points in the Coordinate Plane - Activity A

Quadratic and Absolute Value Functions

1.2. Linear Equations in One Variable

Solving Equations By Graphing Each Side

1.3. Modeling with Linear Equations

Using Algebraic Equations

1.4. Quadratic Equations

Modeling the Factorization of ax²+bx+c

Modeling the Factorization of x²+bx+c

Roots of a Quadratic

Quadratics in Factored Form

1.7. Linear Inequalities

Solving Linear Inequalities using Addition and Subtraction

Solving Linear Inequalities using Multiplication and Division

1.8. Other Types of Inequalities

Quadratic Inequalities - Activity A

Chapter 2. Functions and Their Graphs

2.1. Linear Equations in Two Variables

Slope - Activity A

Slope-Intercept Form of a Line - Activity A

Point-Slope Form of a Line - Activity A

2.2. Functions

Linear Functions

Introduction to Functions

2.3. Analyzing Graphs of Functions

Fourth-Degree Polynomials - Activity A

Quadratic and Absolute Value Functions

Quadratics in Polynomial Form - Activity A

Functions Involving Square Roots

2.4. Shifting, Reflecting, and Stretching Graphs

Rotations, Reflections and Translations

Translating and Scaling Functions

2.6. Inverse Functions

Logarithmic Functions - Activity A

Chapter 3. Polynomial Functions

3.1. Quadratic Functions

Quadratics in Polynomial Form - Activity A

Quadratics in Factored Form

Roots of a Quadratic

Quadratics in Vertex Form - Activity A

3.2. Polynomial Functions of Higher Degree

Fourth-Degree Polynomials - Activity A

Cubic Function Activity

3.3. Polynomial and Synthetic Division

Dividing Polynomials Using Synthetic Division

3.4. Zeros of Polynomial Functions

Roots of a Quadratic

3.5. Mathematical Modeling

Direct and Inverse Variation

Chapter 4. Rational Functions and Conics

4.1. Rational Functions and Asymptotes

Rational Functions

General Form of a Rational Function

4.2. Graphs of Rational Functions

Rational Functions

4.3. Partial Fractions

General Form of a Rational Function

4.4. Conics

Circles

Ellipse - Activity A

Parabolas - Activity B

Hyperbola - Activity A

4.5. Translations of Conics

Circles

Ellipse - Activity A

Parabolas - Activity B

Hyperbola - Activity A

Chapter 5. Exponential and Logarithmic Functions

5.1. Exponential Functions and Their Graphs

Exponential Functions - Activity A

Exponential Growth and Decay - Activity A

5.2. Logarithmic Functions and Their Graphs

Logarithmic Functions - Activity A

5.5. Exponential and Logarithmic Models

Exponential Growth and Decay - Activity A

Chapter 6. Trigonometry

6.1. Angles and Their Measure

Unit Circle

6.2. Right Triangle Trigonometry

Sine and Cosine Ratios - Activity A

Sine, Cosine and Tangent

6.3. Trigonometric Functions of Any Angle

Cosine Function

Sine Function

Tangent Function

6.4. Graphs of Sine and Cosine Functions

Cosine Function

Sine Function

6.5. Graphs of Other Trigonometric Functions

Tangent Function

Chapter 7. Analytic Trigonometry

7.2. Verifying Trigonometric Identities

Simplifying and Verifying Trigonometric Functions

7.4. Sum and Difference Formulas

Sum and Difference Identities for Sine and Cosine

Chapter 8. Additional Topics in Trigonometry

8.3. Vectors in the Plane

Adding Vectors

8.4. Vectors and Dot Products

Vectors

8.5. Trigonometric Form of a Complex Number

Absolute Value of a Complex Number

Chapter 9. Systems of Equations and Inequalities

9.1. Solving Systems of Equations

Modeling Linear Systems - Activity A

Solving Linear Systems by Graphing

9.2. Systems of Linear Equations in Two Variables

Systems of Linear Equations - Activity A

9.4. Systems of Inequalities

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

Systems of Linear Inequalities (Standard form)

9.5. Linear Programming

Linear Programming - Activity A

Chapter 10. Matrices and Determinants

10.1. Matrices and Systems of Equations

Systems of Linear Equations - Activity A

10.2. Operations with Matrices

Translations

Chapter 11. Sequences, Series, and Probability

11.1. Sequences and Series

Arithmetic and Geometric Sequences

11.2. Arithmetic Sequences and Partial Sums

Arithmetic Sequences

11.3. Geometric Sequences and Series

Geometric Sequences

11.6. Counting Principles

Permutations

Permutations and Combinations

11.7. Probability

Probability Simulations

Geometric Probability - Activity A

Theoretical and Experimental Probability