1. Linear and Quadratic Functions
1.1. Points and Lines
Distance Formula - Activity A
1.2. Slopes of Lines
Slope-Intercept Form of a Line - Activity B
1.6. Solving Quadratic Equations
Roots of a Quadratic
Quadratics in Factored Form
1.7. Quadratic Functions and Their Graphs
Quadratics in Factored Form
Quadratics in Vertex Form - Activity A
Quadratic Functions
2. Polynomial Functions
2.1. Polynomials
Polynomials and Linear Factors
2.2. Synthetic Division; The Remainder and Factor Theorems
Dividing Polynomials Using Synthetic Division
2.3. Graphing Polynomial Functions
Polynomials and Linear Factors
Fourth-Degree Polynomials - Activity A
Cubic Function Activity
2.4. Finding Maximums and Minimums of Polynomial Functions
Maximize Area
Minimize Perimeter
2.5. Using Technology to Approximate Roots of Polynomial Equations
Fourth-Degree Polynomials - Activity A
3. Inequalities
3.1. Linear Inequalities; Absolute Value
Inequalities Involving Absolute Values
3.3. Polynomial Inequalities in Two Variables
Quadratic Inequalities - Activity A
3.4. Linear Programming
Linear Programming - Activity A
4. Functions
4.1. Functions
Introduction to Functions
4.3. Reflecting Graphs; Symmetry
Reflections of a Linear Function
Cubic Function Activity
Reflections of a Quadratic Function
4.4. Periodic Functions; Stretching and Translating Graphs
Translating and Scaling Sine and Cosine Functions - Activity A
4.7. Forming Functions From Verbal Descriptions
Maximize Area
Minimize Perimeter
5. Exponents and Logarithms
5.1. Growth and Decay: Integral Exponents
Exponential Growth and Decay - Activity B
5.3. Exponential Functions
Exponential Functions - Activity B
5.4. The Number e and the Function ex
Exponential Functions - Activity C
5.5. Logarithmic Functions
Logarithmic Functions - Activity A
5.6. Laws of Logarithms
Logarithmic Functions - Activity A
6. Analytic Geometry
6.2. Equations of Circles
Circles
6.3. Ellipses
Ellipse - Activity A
6.4. Hyperbolas
Hyperbola - Activity A
6.5. Parabolas
Parabolas - Activity B
7. Trigonometric Functions
7.3. The Sine and Cosine Functions
Unit Circle
Sine Function
Tangent Function
Cosine Function
7.4. Evaluating and Graphing Sine and Cosine
Sine Function
Cosine Function
7.5. The Other Trigonometric Functions
Tangent Function
8. Trigonometric Equations and Applications
8.2. Sine and Cosine Curves
Translating and Scaling Sine and Cosine Functions - Activity B
8.3. Modeling Periodic Behavior
Translating and Scaling Sine and Cosine Functions - Activity A
8.4. Relationships Among the Functions
Simplifying and Verifying Trigonometric Functions
8.5. Solving More Difficult Trigonometric Equations
Simplifying and Verifying Trigonometric Functions
9. Triangle Trigonometry
9.1. Solving Right Triangles
Sine, Cosine and Tangent
10. Trigonometric Addition Formulas
10.1. Formulas for cos(alpha +/- beta) and sin (alpha +/- beta)
Sum and Difference Identities for Sine and Cosine
10.3. Double Angle and Half-Angle Formulas
Sum and Difference Identities for Sine and Cosine
11. Polar Coordinates and Complex Numbers
11.1. Polar Coordinates and Graphs
Points in Polar Coordinates
12. Vectors and Determinants
12.1. Geometric Representation of Vectors
Vectors
Adding Vectors
Vector Addition
12.2. Algebraic Representation of Vectors
Vectors
Adding Vectors
Vector Addition
12.4. Parallel and Perpendicular Vectors; Dot Product
Vectors
12.7. Determinants
Systems of Linear Equations - Activity B
12.8. Applications of Determinants
Systems of Linear Equations - Activity A
13. Sequences and Series
13.1. Arithmetic and Geometric Sequences
Arithmetic Sequences
Geometric Sequences
Arithmetic and Geometric Sequences
13.2. Recursive Definitions
Arithmetic Sequences
Geometric Sequences
Arithmetic and Geometric Sequences
14. Matrices
14.1. Matrix Addition and Scalar Multiplication
Translations
14.3. Applying Matrices to Linear Systems
Systems of Linear Equations - Activity A
14.6. Transformation Matrices
Translations
15. Combinatorics
15.2. The Multiplication, Addition, and Complement Principles
Permutations
15.3. Permutations and Combinations
Permutations
Permutations and Combinations
16. Probability
16.1. Introduction to Probability
Probability Simulations
16.2. Probability of Events Occurring Together
Compound Independent Events
Compound Independent and Dependent Events
16.3. The Binomial Probability Theorem
Binomial Probabilities
16.4. Probability Problems Solved with Combinations
Binomial Probabilities
16.5. Working with Conditional Probability
Binomial Probabilities
16.6. Expected Value
Theoretical and Experimental Probability
17. Statistics
17.1. Tables, Graphs, and Averages
Stem-and-Leaf Plots
Histograms
Line Plots
17.2. Box-and-Whisker Plots
Box-and-Whisker Plots
18. Curve Fitting and Models
18.1. Introduction to Curve Fitting; The Least Squares Line
Lines of Best Fit Using Least Squares - Activity A
Correlation
Scatter Plots - Activity A