P 2: Cartesian Coordinate System

Linear Functions
Points in the Coordinate Plane
Points, Lines, and Equations

P 3: Linear Equations and Inequalities

Absolute Value with Linear Functions
Exploring Linear Inequalities in One Variable
Linear Functions
Linear Inequalities in Two Variables
Modeling and Solving Two-Step Equations
Solving Equations by Graphing Each Side
Standard Form of a Line
Systems of Linear Inequalities (Slope-intercept form)

P 4: Lines in the Plane

Linear Functions
Points, Lines, and Equations

P 5: Solving Equations Graphically, Numerically and Algebraically

Absolute Value Equations and Inequalities
Absolute Value with Linear Functions
Circles
Modeling One-Step Equations
Modeling and Solving Two-Step Equations
Parabolas
Point-Slope Form of a Line
Points, Lines, and Equations
Quadratics in Polynomial Form
Radical Functions
Solving Algebraic Equations II
Solving Equations on the Number Line
Standard Form of a Line

P 6: Complex Numbers

Points in the Complex Plane
Roots of a Quadratic

P 7: Solving Inequalities Algebraically and Graphically

Absolute Value Equations and Inequalities
Compound Inequalities
Exploring Linear Inequalities in One Variable
Linear Inequalities in Two Variables
Quadratic Inequalities
Solving Linear Inequalities in One Variable
Systems of Linear Inequalities (Slope-intercept form)

1: Functions and Graphs

1.1: Modeling and Equation Solving

Modeling One-Step Equations
Modeling and Solving Two-Step Equations
Solving Equations on the Number Line

1.2: Functions and Their Properties

General Form of a Rational Function
Graphs of Polynomial Functions
Linear Functions
Logarithmic Functions

1.4: Building Functions from Functions

Linear Functions
Points, Lines, and Equations

1.6: Graphical Transformations

Exponential Functions
Introduction to Exponential Functions
Rational Functions
Translating and Scaling Functions
Translating and Scaling Sine and Cosine Functions
Translations
Zap It! Game

1.7: Modeling with Functions

Linear Functions

2: Polynomial, Power, and Rational Functions

2.1: Linear and Quadratic Functions and Modeling

Absolute Value with Linear Functions
Addition and Subtraction of Functions
Arithmetic Sequences
Compound Interest
Linear Functions
Quadratics in Factored Form
Quadratics in Polynomial Form
Roots of a Quadratic
Slope-Intercept Form of a Line
Translating and Scaling Functions
Zap It! Game

2.3: Polynomial Functions of Higher Degree with Modeling

Graphs of Polynomial Functions
Polynomials and Linear Factors
Quadratics in Factored Form

2.4: Real Zeros of Polynomial Functions

Graphs of Polynomial Functions
Polynomials and Linear Factors
Quadratics in Factored Form

2.5: Complex Zeros and The Fundamental Theorem of Algebra

Roots of a Quadratic

2.6: Graphs and Rational Functions

General Form of a Rational Function
Rational Functions

3: Exponential, Logistic, and Logarithmic Functions

3.1: Exponential and Logistic Functions

Compound Interest
Exponential Functions
Introduction to Exponential Functions
Logarithmic Functions

3.2: Exponential and Logistic Modeling

Exponential Functions
Introduction to Exponential Functions

3.3: Logarithmic Functions and Their Graphs

Logarithmic Functions

3.4: Properties of Logarithmic Functions

Logarithmic Functions

3.5: Equation Solving and Modeling

Exponential Functions

3.6: Mathematics of Finance

Exponential Functions

4: Trigonometric Functions

4.1: Angles and Their Measures

Triangle Angle Sum

4.2: Trigonometric Functions of Acute Angles

Cosine Function
Sine Function
Sine, Cosine, and Tangent Ratios
Tangent Function
Translating and Scaling Functions

4.4: Graphs of Sine and Cosine: Sinusoids

Cosine Function
Sine Function
Translating and Scaling Sine and Cosine Functions

4.5: Graphs of Tangent, Cotangent, Secant and Cosecant

Tangent Function

4.8: Solving Problems with Trigonometry

Sine, Cosine, and Tangent Ratios

5: Analytic Trigonometry

5.1: Fundamental Identities

Simplifying Trigonometric Expressions
Sum and Difference Identities for Sine and Cosine

5.2: Proving Trigonometric Identities

Simplifying Trigonometric Expressions

5.3: Sum and Difference Identities

Sum and Difference Identities for Sine and Cosine

6: Applications of Trigonometry

6.1: Vectors in the Plane

Adding Vectors
Vectors

6.2: Dot Product of Vectors

Vectors

6.3: Parametric Equations and Motion

Circles
Dilations
Reflections
Rotations, Reflections, and Translations
Translations

7: Systems and Matrices

7.5: Systems of Inequalities in Two Variables

Linear Programming
Systems of Linear Inequalities (Slope-intercept form)

8: Analytic Geometry in Two and Three Dimensions

8.1: Conic Sections and Parabolas

Addition and Subtraction of Functions
Circles
Ellipses
Hyperbolas
Parabolas
Zap It! Game

8.2: Ellipses

Ellipses

8.3: Hyperbolas

Hyperbolas

8.4: Translation and Rotation of Axes

Absolute Value with Linear Functions
Rotations, Reflections, and Translations
Similar Figures
Translations

9: Discrete Mathematics

9.1: Basic Combinatronics

Binomial Probabilities
Permutations and Combinations

9.3: Probability

Probability Simulations
Theoretical and Experimental Probability

9.4: Sequences

Arithmetic Sequences
Geometric Sequences

9.5: Series

Arithmetic Sequences
Geometric Sequences

9.7: Statistics and Data (Graphical)

Polling: City
Real-Time Histogram

9.8: Statistics and Data (Algebraic)

Real-Time Histogram

10: An Introduction to Calculus: Limits, Derivatives and Integrals

10.4: Numerical Derivations and Integrals

Graphs of Derivative Functions