1. Linear Relations and Functions

1.1. Relations and Functions

Introduction to Functions

1.3. Graphing Linear Equations

Slope - Activity A

Slope-Intercept Form of a Line - Activity B

Translating and Scaling Functions

1.4. Writing Linear Equations

Slope - Activity A

Point-Slope Form of a Line - Activity A

1.6. Modeling Real-World Data with Linear Functions

Scatter Plots - Activity A

Lines of Best Fit Using Least Squares - Activity A

Correlation

1.8. Graphing Linear Inequalities

Linear Inequalities in Two Variables - Activity A

Inequalities Involving Absolute Values

2. Systems of Linear Equations and Inequalities

2.1. Solving Systems of Equations in Two Variables

Solving Linear Systems by Graphing

Systems of Linear Equations - Activity A

2.4. Modeling Motion with Matrices

Translations

Dilations

2.5. Determinants and Multiplicative Inverses of Matrices

Systems of Linear Equations - Activity B

2.6. Solving Systems of Linear Inequalities

Systems of Linear Inequalities (Slope-intercept form) - Activity A

Systems of Linear Inequalities (Standard form)

2.7. Linear Programming

Linear Programming - Activity A

3. The Nature of Graphs

3.1. Symmetry and Coordinate Graphs

Cubic Function Activity

Quadratics in Vertex Form - Activity A

Reflections

3.2. Families of Graphs

Quadratics in Vertex Form - Activity A

Reflections of a Linear Function

Translating and Scaling Functions

3.3. Graphs of Nonlinear Inequalities

Quadratic Inequalities - Activity A

3.5. Continuity and End Behavior

Fourth-Degree Polynomials - Activity A

Cubic Function Activity

Rational Functions

General Form of a Rational Function

3.6. Critical Points and Extrema

Fourth-Degree Polynomials - Activity A

Cubic Function Activity

Quadratics in Vertex Form - Activity A

3.7. Graphs of Rational Functions

Rational Functions

General Form of a Rational Function

3.8. Direct, Inverse, and Joint Variation

Direct and Inverse Variation

4. Polynomial and Rational Functions

4.1. Polynomial Functions

Polynomials and Linear Factors

Cubic Function Activity

4.2. Quadratic Equations

Roots of a Quadratic

Quadratics in Factored Form

4.3. The Remainder and Factor Theorems

Dividing Polynomials Using Synthetic Division

4.5. Locating Zeros of a Polynomial Function

Fourth-Degree Polynomials - Activity A

5. The Trigonometric Functions

5.2. Trigonometric Ratios in Right Triangles

Sine and Cosine Ratios - Activity B

Tangent Ratio

Sine, Cosine and Tangent

5.3. Trigonometric Functions on the Unit Circle

Sine Function

Cosine Function

Tangent Function

Unit Circle

6. Graphs of Trigonometric Functions

6.3. Graphing Sine and Cosine Functions

Sine Function

Cosine Function

Unit Circle

6.4. Amplitude and Period of Sine and Cosine Functions

Translating and Scaling Sine and Cosine Functions - Activity A

6.5. Translations of Sine and Cosine Functions

Translating and Scaling Sine and Cosine Functions - Activity A

6.7. Graphing Other Trigonometric Functions

Tangent Function

7. Trigonometric Identities and Equations

7.1. Basic Trigonometric Identities

Simplifying and Verifying Trigonometric Functions

7.2. Verifying Trigonometric Identities

Simplifying and Verifying Trigonometric Functions

7.3. Sum and Difference Identities

Sum and Difference Identities for Sine and Cosine

7.4. Double-Angle and Half-Angle Identities

Sum and Difference Identities for Sine and Cosine

8. Vectors and Parametric Equations

8.1. Geometric Vectors

Vectors

Adding Vectors

8.2. Algebraic Vectors

Vectors

Adding Vectors

8.4. Perpendicular Vectors

Vectors

10. Conics

10.1. Introduction to Analytic Geometry

Distance Formula - Activity A

10.2. Circles

Circles

10.3. Ellipses

Ellipse - Activity A

10.4. Hyperbolas

Hyperbola - Activity A

10.5. Parabolas

Parabolas - Activity B

10.8. Systems of Second-Degree Equations and Inequalities

System of Two Quadratic Inequalities

11. Exponential and Logarithmic Functions

11.1. Real Exponents

Simplifying Radicals - Activity B

11.2. Exponential Functions

Exponential Functions - Activity B

11.3. The Number e

Exponential Functions - Activity C

11.4. Logarithmic Functions

Logarithmic Functions - Activity A

11.5. Common Logarithms

Logarithmic Functions - Activity A

11.6. Natural Logarithms

Logarithmic Functions - Activity B

11.7. Modeling Real-World Data with Exponential and Logarithmic Functions

Exponential Growth and Decay - Activity B

12. Sequences and Series

12.1. Arithmetic Sequences and Series

Arithmetic Sequences

12.2. Geometric Sequences and Series

Geometric Sequences

13. Combinatorics and Probability

13.1. Permutations and Combinations

Permutations and Combinations

13.3. Probability and Odds

Probability Simulations

13.4. Probability of Compound Events

Compound Independent Events

Compound Independent and Dependent Events

13.5. Conditional Probability

Compound Independent and Dependent Events

13.6. The Binomial Theorem and Probability

Binomial Probabilities

14. Statistics and Data Analysis

14.1 The Frequency Distribution

Line Plots

Histograms

14.2. Measures of Central Tendency

Mean, Median and Mode

14.3. Measures of Variability

Stem-and-Leaf Plots

Box-and-Whisker Plots

15. Introduction to Calculus

15.3. Area Under a Curve

Riemann Sum

15.4. The Fundamental Theorem of Calculus

Riemann Sum