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 Factoring

Addition and Subtraction of Polynomials

Addition of Polynomials - Activity B

Modeling the Factorization of ax²+bx+c

Modeling the Factorization of x²+bx+c

Factoring Special Products

P.4. Rational Expressions

Rational Functions

General Form of a Rational Function

P.5. Graphical Representation of Data

Line Plots

Constructing Box-and-Whisker Plots

Histograms

Stem-and-Leaf Plots

Scatter Plots - Activity A

Chapter 1: Functions and Their Graphs

1.1. Graphs of Equations

Points in the Coordinate Plane - Activity A

Quadratic and Absolute Value Functions

1.2. Lines in the Plane

Slope - Activity A

Slope-Intercept Form of a Line - Activity A

Point-Slope Form of a Line - Activity A

1.3. Functions and Their Graphs

Linear Functions

Introduction to Functions

1.4. Graphs of Functions

Fourth-Degree Polynomials - Activity A

Quadratic and Absolute Value Functions

Quadratics in Polynomial Form - Activity A

Functions Involving Square Roots

1.5. Shifting, Reflecting, and Stretching Graphs

Rotations, Reflections and Translations

1.7. Inverse Functions

Logarithmic Functions - Activity A

Chapter 2: Intercepts, Zeros, and Solutions

2.1. Modeling with Linear Equations

Distance-Time Graphs

Solving Using Trend Lines

2.2. Solving Equations Graphically

Roots of a Quadratic

Slope-Intercept Form of a Line - Activity A

Modeling Linear Systems - Activity A

Solving Linear Systems by Graphing

2.3. Complex Numbers

Points in the Complex Plane - Activity A

Absolute Value of a Complex Number

2.4. Solving Equations Algebraically

Roots of a Quadratic

Modeling the Factorization of ax²+bx+c

Modeling the Factorization of x²+bx+c

2.5. Solving Inequalities Algebraically and Graphically

Solving Inequalities Using Multiplication and Division

Solving Linear Inequalities using Addition and Subtraction

Inequalities Involving Absolute Values

Linear Inequalities in Two Variables - Activity A

Chapter 3: Polynomial and Rational 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. Real Zeros of Polynomial Functions

Dividing Polynomials Using Synthetic Division

3.5. Rational Functions and Asymptotes

Rational Functions

General Form of a Rational Function

3.6. Graphs of Rational Functions

Rational Functions

General Form of a Rational Function

Chapter 4: Exponential and Logarithmic Functions

4.1. Exponential Functions and Their Graphs

Exponential Functions - Activity A

Exponential Growth and Decay - Activity A

4.2. Logarithmic Functions and Their Graphs

Logarithmic Functions - Activity A

4.5. Exponential and Logarithmic Models

Exponential Growth and Decay - Activity A

Chapter 5: Trigonometric Functions

5.1. Angles and Their Measure

Unit Circle

5.2. Right Triangle Trigonometry

Sine and Cosine Ratios - Activity A

Sine, Cosine and Tangent

5.3. Trigonometric Functions of Any Angle

Cosine Function

Sine Function

Tangent Function

5.4. Graphs of Sine and Cosine Functions

Cosine Function

Sine Function

5.5. Graphs of Other Trigonometric Functions

Tangent Function

Chapter 6: Analytic Trigonometry

6.2. Verifying Trigonometric Identities

Simplifying and Verifying Trigonometric Functions

6.4. Sum and Difference Formulas

Sum and Difference Identities for Sine and Cosine

Chapter 7: Additional Topics in Trigonometry

7.3. Vectors in the Plane

Adding Vectors

7.4. Vectors and Dot Products

Vectors

7.5. Trigonometric Form of a Complex Number

Absolute Value of a Complex Number

Chapter 8: Systems of Equations and Inequalities

8.1. Solving Systems of Equations

Modeling Linear Systems - Activity A

Solving Linear Systems by Graphing

8.2. Systems of Linear Equations in Two Variables

Systems of Linear Equations - Activity A

8.4. Systems of Inequalities

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

Systems of Linear Inequalities (Standard form)

8.5. Linear Programming

Linear Programming - Activity A

Chapter 9: Matrices and Determinants

9.1. Matrices and Systems of Equations

Systems of Linear Equations - Activity A

9.2. Operations with Matrices

Translations

Chapter 10: Sequences, Series, and Probability

10.1. Sequences and Series

Arithmetic and Geometric Sequences

10.2. Arithmetic Sequences and Partial Sums

Arithmetic Sequences

10.3. Geometric Sequences and Series

Geometric Sequences

10.6. Counting Principles

Permutations

Permutations and Combinations

10.7. Probability

Probability Simulations

Geometric Probability - Activity A

Theoretical and Experimental Probability

Chapter 11: Topics in Analytic Geometry

11.1. Conics

Circles

Ellipse - Activity A

Parabolas - Activity B

Hyperbola - Activity A

11.2. Translations of Conics

Circles

Ellipse - Activity A

Parabolas - Activity B

Hyperbola - Activity A

11.4. Polar Coordinates

Points in Polar Coordinates