p: Prerequisites: Fundamental Concepts of Algebra

p.1: Algebraic Expressions, Mathematical Models, and Real Numbers

Using Algebraic Expressions

p.2: Exponents and Scientific Notation

Dividing Exponential Expressions
Exponents and Power Rules
Multiplying Exponential Expressions
Unit Conversions 2 - Scientific Notation and Significant Digits

p.4: Polynomials

Addition and Subtraction of Polynomials
Addition of Polynomials - Activity A

p.5: Factoring Polynomials

Factoring Special Products
Modeling the Factorization of ax²+bx+c
Modeling the Factorization of x²+bx+c

p.7: Equations

Using Algebraic Equations

p.9: Linear Inequalities and Absolute Value Inequalities

Compound Inequalities
Inequalities Involving Absolute Values
Linear Inequalities in Two Variables - Activity A

1: Functions and Graphs

Points, Lines, and Equations

1.2: Basics of Functions and Their Graphs

Cubic Function Activity

1.4: Linear Functions and Slope

Linear Functions
Slope - Activity A
Slope-Intercept Form of a Line - Activity A

1.6: Transformations of Functions

Translating and Scaling Functions

1.8: Inverse Functions

Function Machines 3 (Functions and Problem Solving)

1.9: Distance and Midpoint Formulas; Circles

Distance Formula - Activity A

1.10: Modeling with Functions

Zap It! Game

2: Polynomials and Rational Functions

Cubic Function Activity
General Form of a Rational Function
Rational Functions

2.2: Quadratic Functions

Quadratic Functions

2.3: Polynomial Functions and Their Graphs

Cubic Function Activity
Fourth-Degree Polynomials - Activity A

2.4: Dividing Polynomials; Remainder and Factor Theorems

Dividing Polynomials Using Synthetic Division
Polynomials and Linear Factors

2.5: Zeros of Polynomial Functions

Points, Lines, and Equations

2.6: Rational Functions and Their Graphs

General Form of a Rational Function
Rational Functions

3: Exponential and Logarithmic Functions

3.1: Exponential Functions

Exponential Functions - Activity A

3.2: Logarithmic Functions

Logarithmic Functions - Activity A
Logarithmic Functions: Translating and Scaling

3.5: Exponential Growth and Decay; Modeling Data

Exponential Growth and Decay - Activity A

4: Trigonometric Functions

4.2: Trigonometric Functions: The Unit Circle

Unit Circle

4.5: Graphs of Sine and Cosine Functions

Cosine Function
Sine Function

5: Analytic Trigonometry

5.1: Verifying Trigonometric Identities

Simplifying Trigonometric Expressions

5.2: Sum and Difference Formulas

Sum and Difference Identities for Sine and Cosine

6: Additional Topics in Trigonometry

6.5: Complex Numbers in Polar Form; DeMoivre's Theorem

Complex Numbers in Polar Form

6.6: Vectors

Vectors

7: Systems of Equations and Inequalities

7.1: Systems of Linear Equations in Two Variables

Systems of Linear Equations - Activity A

7.5: Systems of Inequalities

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

7.6: Linear Programming

Linear Programming - Activity A

8: Matrices and Determinants

8.2: Inconsistent and Dependent Systems and Their Applications

Special Types of Solutions to Linear Systems

9: Conic Sections and Analytic Geometry

9.1: The Ellipse

Ellipse - Activity A

9.2: The Hyberola

Hyperbola - Activity A

9.3: The Parabola

Parabolas - Activity A

10: Sequences, Induction, and Probability

10.2: Arithmetic Sequences

Arithmetic Sequences

10.3: Geometric Sequences

Geometric Sequences

10.6: Counting Principles, Permutations, and Combinations

Permutations
Permutations and Combinations

10.7: Probability

Compound Independent Events
Compound Independent and Dependent Events
Probability Simulations