1: Graphs
1.1: The Distance and Midpoint Formulas; Graphing Utilities; Introduction to Graphing Equations
Distance Formula - Activity A
Points, Lines, and Equations
1.2: Intercepts; Symmetry; Graphing Key Equations
Slope-Intercept Form of a Line - Activity A
1.3: Solving Equations Using a Graphing Utility
Solving Equations By Graphing Each Side
1.4: Lines
Point-Slope Form of a Line - Activity A
Slope-Intercept Form of a Line - Activity A
Standard Form of a Line
1.5: Circles
Circles
2: Functions and Their Graphs
2.1: Functions
Function Machines 1 (Functions and Tables)
Introduction to Functions
Linear Functions
2.2: The Graph of a Function
Function Machines 2 (Functions, Tables, and Graphs)
2.5: Graphing Techniques; Transformations
Translating and Scaling Functions
2.6: Mathematical Models: Building Functions
Dye Elimination
Half-life
Simple and Compound Interest
3: Linear and Quadratic Functions
3.1: Linear Functions and Their Properties
Linear Functions
3.2: Linear Models: Building Linear Functions from Data
Correlation
Lines of Best Fit Using Least Squares - Activity A
3.3: Quadratic Functions and Their Properties
Quadratic Functions
4: Polynomial and Rational Functions
4.1: Polynomials Functions and Models
Cubic Function Activity
Zap It! Game
4.2: The Real Zeros of a Polynomial Function
Dividing Polynomials Using Synthetic Division
Polynomials and Linear Factors
4.4: Properties of Rational Functions
General Form of a Rational Function
Rational Functions
4.5: The Graph of a Rational Function
General Form of a Rational Function
Rational Functions
5: Exponential and Logarithmic Functions
5.3: Exponential Functions
Exponential Functions - Activity A
5.4: Logarithmic Functions
Logarithmic Functions - Activity A
5.5: Proprieties of Logarithms
Logarithmic Functions: Translating and Scaling
5.8: Exponential Growth and Decay Models; Newton's Law; Logistic Growth and Decay Models
Dye Elimination
Exponential Growth and Decay - Activity A
Half-life
5.9: Building Exponential, Logarithmic, and Logistic Models from Data
Dye Elimination
Half-life
Simple and Compound Interest
6: Trigonometric Functions
6.2: Trigonometric Functions: Unit Circle Approach
Unit Circle
6.4: Graphs of the Sine and Cosine Functions
Cosine Function
Sine Function
6.5: Graphs of the Tangent, Cotangent, Cosecant, and Secant Functions
Tangent Function
6.6: Phase Shift, Sinusoidal Curve Fitting
Translating and Scaling Sine and Cosine Functions - Activity A
7: Analytic Trigonometry
7.4: Trigonometric Identities
Simplifying Trigonometric Expressions
7.5: Sum and Difference Formulas
Sum and Difference Identities for Sine and Cosine
9: Polar Coordinates; Vectors
9.1: Polar Coordinates
Points in Polar Coordinates
9.3: The Complex Plane; De Moivre's Theorem
Complex Numbers in Polar Form
9.4: Vectors
Vectors
10: Analytic Geometry
10.2: The Parabola
Parabolas - Activity A
10.3: The Ellipse
Ellipse - Activity A
10.4: The Hyperbola
Hyperbola - Activity A
11: Systems of Equations and Inequalities
11.1: Systems of Linear Equations: Substitution and Elimination
Systems of Linear Equations - Activity A
11.7: Systems of Inequalities
Systems of Linear Inequalities (Slope-intercept form) - Activity A
Systems of Linear Inequalities (Standard form)
11.8: Linear Programming
Linear Programming - Activity A
12: Sequences; Induction; the Binomial Theorem
12.2: Arithmetic Sequences
Arithmetic Sequences
12.3: Geometric Sequences; Geometric Series
Geometric Sequences
13: Counting and Probability
13.2: Permutations and Combinations
Permutations and Combinations
13.3: Probability
Compound Independent Events
Probability Simulations
Theoretical and Experimental Probability
14: A Preview of Calculus: The Limit, Derivative, and Integral of a Function
14.5: The Area Problem; The Integral
Riemann Sum