1: Graphs
1.4: Solving Equations
Solving Formulas for any Variable
1.5: Solving Inequalities
Solving Linear Inequalities using Addition and Subtraction
Solving Linear Inequalities using Multiplication and Division
1.6: Lines
Slope-Intercept Form of a Line - Activity B
2: Functions and Their Graphs
2.1: Functions
Introduction to Functions
2.2: Linear functions and Models
Linear Functions
2.5: Graphing Techniques: Transformations
Translating and Scaling Functions
3: Polynomial and Rational Functions
3.1: Quadratic Functions and models
Quadratics in Polynomial Form - Activity A
3.3: Polynomial Functions and Models
Fourth-Degree Polynomials - Activity A
3.4: Rational Functions I
Rational Functions
3.5: Rational Functions II: Analyzing Graphs
General Form of a Rational Function
3.7: The Real Zeros of a Polynomial Function
Polynomials and Linear Factors
4: Exponential and Logarithmic functions
4.1: Exponential Functions
Exponential Functions - Activity B
4.2: Logarithmic Functions
Logarithmic Functions - Activity A
4.5: Compound Interest
Simple and Compound Interest
4.6: Growth and decay
Drug Dosage
Exponential Growth and Decay - Activity A
5: Trigonometric Functions
5.2: Trigonometric Functions: Unit Circle Approach
Unit Circle
5.4: Graphs of the Sine and Cosine Functions
Cosine Function
Sine Function
5.5: Graphs of the Tangent, Cotangent, Cosecant, and Secant Functions
Tangent Function
5.6: Phase Shifts; Sinusoidal Curve Fitting
Translating and Scaling Sine and Cosine Functions - Activity A
6: Analytic Trigonometry
6.4: Sum and Difference Formulas
Sum and Difference Identities for Sine and Cosine
7: Applications of Trigonometric Functions
7.1: Right Triangle Trigonometry
Addition of Polynomials - Activity B
Tangent Ratio
7.5: Simple Harmonic Motion; Damped Motion; Combining Waves
Period of Mass on a Spring
Simple Harmonic Motion
Sound Beats and Sine Waves
8: Polar Coordinates; Vectors
8.1: Polar Coordinates
Points in Polar Coordinates
8.4: Vectors
Vectors
9: Analytic Geometry
9.2: The Parabola
Parabolas - Activity A
9.3: The Ellipse
Ellipse - Activity A
9.4: The Hyperbola
Hyperbola - Activity A
10: Systems of Equations and Inequalities
10.1: Systems of Linear Equations: Two equations Containing Two Variables
Modeling Linear Systems - Activity B
Systems of Linear Equations - Activity A
10.8: Systems of Inequalities
Systems of Linear Inequalities (Slope-intercept form) - Activity A
10.9: Linear Programming
Linear Programming - Activity A
11: Sequences; Induction; The Binomial Theorem
11.2: Arithmetic Sequences
Arithmetic Sequences
11.3: Geometric Sequences; Geometric Series
Geometric Sequences
12: Counting and Probability
12.2: Permutations and Combinations
Permutations
12.4: Obtaining Probabilities from Data
Theoretical and Experimental Probability
13: A Preview of Calculus: The Limit, Derivative, and Integral of a Function
13.5: The Area Problem; the Integral
Riemann Sum