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. Solving Equations

Roots of a Quadratic

Slope-Intercept Form of a Line - Activity A

Modeling Linear Systems - Activity A

Solving Linear Systems by Graphing

Modeling the Factorization of ax²+bx+c

Modeling the Factorization of x²+bx+c

P.6. Solving Inequalities

Solving Inequalities Using Multiplication and Division

Solving Linear Inequalities using Addition and Subtraction

Inequalities Involving Absolute Values

Linear Inequalities in Two Variables - Activity A

P.8. 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. Linear Equations in Two Variables

Slope - Activity A

Slope-Intercept Form of a Line - Activity A

Point-Slope Form of a Line - Activity A

1.3. Functions

Linear Functions

Introduction to Functions

1.4. Analyzing 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

Translating and Scaling Functions

1.7. Inverse Functions

Logarithmic Functions - Activity A

1.8. Mathematical Modeling

Direct and Inverse Variation

Chapter 2: Polynomial and Rational Functions

2.1. Quadratic Functions

Quadratics in Polynomial Form - Activity A

Quadratics in Factored Form

Roots of a Quadratic

Quadratics in Vertex Form - Activity A

2.2. Polynomial Functions of Higher Degree

Fourth-Degree Polynomials - Activity A

Cubic Function Activity

2.3. Polynomials and Synthetic Division

Dividing Polynomials Using Synthetic Division

2.5. Zeros of Polynomial Functions

Roots of a Quadratic

2.6. Rational Functions

Rational Functions

General Form of a Rational Function

2.7. Partial Fractions

General Form of a Rational Function

Chapter 3: Exponential and Logarithmic Functions

3.1. Exponential Functions and Their Graphs

Exponential Functions - Activity A

Exponential Growth and Decay - Activity A

3.2. Logarithmic Functions and Their Graphs

Logarithmic Functions - Activity A

3.5. Exponential and Logarithmic Models

Exponential Growth and Decay - Activity A

Chapter 4: Trigonometry

4.2. Trigonometric Functions: The Unit Circle

Unit Circle

4.3. Right Triangle Trigonometry

Sine and Cosine Ratios - Activity A

Sine, Cosine and Tangent

4.4. Trigonometric Functions of Any Angle

Cosine Function

Sine Function

Tangent Function

4.5. Graphs of Sine and Cosine Functions

Cosine Function

Sine Function

4.6. Graphs of Other Trigonometric Functions

Tangent Function

Chapter 5: Analytic Trigonometry

5.2. Verifying Trigonometric Identities

Simplifying and Verifying Trigonometric Functions

5.4. Sum and Difference Formulas

Sum and Difference Identities for Sine and Cosine

Chapter 6: Additional Topics in Trigonometry

6.3. Vectors in the Plane

Adding Vectors

6.4. Vectors and Dot Products

Vectors

6.5. Trigonometric Form of a Complex Number

Absolute Value of a Complex Number

Chapter 7: Systems of Equations and Inequalities

7.1. Solving Systems of Equations

Modeling Linear Systems - Activity A

Solving Linear Systems by Graphing

7.2. Two-Variable Linear Systems

Systems of Linear Equations - Activity A

7.4. Systems of Inequalities

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

Systems of Linear Inequalities (Standard form)

7.5. Linear Programming

Linear Programming - Activity A

Chapter 8: Matrices and Determinants

8.1. Matrices and Systems of Equations

Systems of Linear Equations - Activity A

8.2. Operations with Matrices

Translations

8.4. The Determinant of a Square Matrix

Systems of Linear Equations - Activity B

Chapter 9: Sequences, Series, and Probability

9.1. Sequences and Series

Arithmetic and Geometric Sequences

9.2. Arithmetic Sequences and Partial Sums

Arithmetic Sequences

9.3. Geometric Sequences and Series

Geometric Sequences

9.6. Counting Principles

Permutations

Permutations and Combinations

9.7. Probability

Probability Simulations

Geometric Probability - Activity A

Theoretical and Experimental Probability

Chapter 10: Topic in Analytic Geometry

10.2. Introduction to Conics: Parabolas

Parabolas - Activity B

Parabola with Horizontal Directrix

10.3. Ellipses

Ellipse - Activity A

10.4. Hyperbolas

Hyperbola - Activity A

10.7. Polar Coordinates

Points in Polar Coordinates