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