Chapter 1: Functions and Their Graphs
1.2. Functions
Linear Functions
Introduction to Functions
1.3. Graphs of Functions
Fourth-Degree Polynomials - Activity A
Quadratic and Absolute Value Functions
Quadratics in Polynomial Form - Activity A
Functions Involving Square Roots
1.4. Shifting, Reflecting, and Stretching Graphs
Rotations, Reflections and Translations
Translating and Scaling Functions
1.6. Inverse Functions
Logarithmic Functions - Activity A
1.7. Linear Models and Scatter Plots
Determining a Spring Constant
Chapter 2: Polynomial and Rational Functions
2.1. Quadratic Functions
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. Real Zeros of Polynomial Functions
Dividing Polynomials Using Synthetic Division
Polynomials and Linear Factors
2.6. Rational Functions and Asymptotes
Rational Functions
General Form of a Rational Function
2.7. Graphs of Rational Functions
Rational Functions
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: Trigonometric Functions
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: Linear Systems and Matrices/h3>
7.1. Solving Systems of Equations
Modeling Linear Systems - Activity A
Solving Linear Systems by Graphing
Systems of Linear Equations - Activity A
7.2. Systems of Linear Equations in Two Variables
Systems of Linear Equations - Activity A
Chapter 8: Sequences, Series, and Probability
8.1. Sequences and Series
Arithmetic and Geometric Sequences
8.2. Arithmetic Sequences and Partial Sums
Arithmetic Sequences
8.3. Geometric Sequences and Series
Geometric Sequences
8.6. Counting Principles
Permutations
Permutations and Combinations
8.7. Probability
Probability Simulations
Geometric Probability - Activity A
Theoretical and Experimental Probability
Chapter 9: Topics in Analytic Geometry
10.1. Circles and Parabolas
Circles
Parabolas - Activity B
Parabola with Horizontal Directrix
9.2. Ellipses
Ellipse - Activity A
9.3. Hyperbolas
Hyperbola - Activity A
9.4. Rotation and Systems of Quadratic Equations
System of Two Quadratic Inequalities
9.6 Polar Coordinates
Points in Polar Coordinates
Chapter 10: Analytic Geometry in Three Dimensions
10.4. Lines and Planes in Space
Investigating Parallel Lines and Planes
Chapter 12: Limits and an Introduction to Calculus
11.5. The Area Problem
Riemann Sum