1. Equations and Inequalities
1.1. Real Numbers and Number Operations
Square Roots
1.3. Solving Linear Equations
Solving Two-Step Equations
Modeling and Solving Two-Step Equations
Solving Equations By Graphing Each Side
1.4. Rewriting Equations and Formulas
Solving Formulas for any Variable
1.6. Solving Linear Inequalities
Compound Inequalities
1.7. Solving Absolute Value Equations and Inequalities
Inequalities Involving Absolute Values
2. Linear Equations and Functions
2.1. Functions and Their Graphs
Introduction to Functions
2.2. Slope and Rate of Change
Slope - Activity A
2.3. Quick Graphs of Linear Equations
Slope-Intercept Form of a Line - Activity A
Standard Form of a Line
2.4. Writing Equations of Lines
Point-Slope Form of a Line - Activity A
Direct Variation
Slope-Intercept Form of a Line - Activity A
2.5. Correlation and Best-Fitting Lines
Scatter Plots - Activity A
Lines of Best Fit Using Least Squares - Activity A
Correlation
2.6. Linear Inequalities in Two Variables
Linear Inequalities in Two Variables - Activity A
2.8. Absolute Value Functions
Reflections of a Linear Function
Absolute Value with Linear Functions - Activity B
3. Systems of Linear Equations and Inequalities
3.1. Solving Linear Systems by Graphing
Solving Linear Systems by Graphing
3.2. Solving Linear Systems Algebraically
Systems of Linear Equations - Activity A
3.3. Graphing and Solving Systems of Linear Inequalities
Systems of Linear Inequalities (Standard form)
Systems of Linear Inequalities (Slope-intercept form) - Activity A
3.4. Linear Programming
Linear Programming - Activity A
4. Matrices and Determinants
4.1. Matrix Operations
Translations
4.3. Cramer's Rule
Systems of Linear Equations - Activity A
5. Graphing Quadratic Functions
5.1. Graphing Quadratic Functions
Quadratic Functions
Quadratics in Factored Form
Quadratics in Vertex Form - Activity A
5.2. Solving Quadratic Equations by Factoring
Quadratics in Factored Form
Polynomials and Linear Factors
5.4. Complex Numbers
Absolute Value of a Complex Number
5.6. The Quadratic Formula and the Discriminant
Roots of a Quadratic
5.7. Graphing and Solving Quadratic Inequalities
Quadratic Inequalities - Activity A
5.8. Modeling with Quadratic Functions
Quadratics in Vertex Form - Activity A
Quadratics in Factored Form
6. Polynomials and Polynomial Functions
6.2. Evaluating and Graphing Polynomial Functions
Fourth-Degree Polynomials - Activity A
Cubic Function Activity
6.3. Adding, Subtracting, and Multiplying Polynomials
Addition of Polynomials - Activity B
6.5. The Remainder and Factor Theorems
Dividing Polynomials Using Synthetic Division
6.7. Using the Fundamental Theorem of Algebra
Polynomials and Linear Factors
6.8. Analyzing Graphs of Polynomial Functions
Fourth-Degree Polynomials - Activity A
7. Powers, Roots, and Radicals
7.2. Properties of Rational Exponents
Operations with Radical Expressions
7.5. Graphing Square Root and Cube Root Functions
Radical Functions
7.7. Statistics and Statistical Graphs
Box-and-Whisker Plots
Line Plots
Exploring Data Using Histograms
8. Exponential and Logarithmic Functions
8.1. Exponential Growth
Simple and Compound Interest
8.2. Exponential Decay
Exponential Growth and Decay - Activity B
8.3. The Number e
Exponential Functions - Activity C
8.4. Logarithmic Functions
Logarithmic Functions - Activity B
8.5. Properties of Logarithms
Logarithmic Functions - Activity A
9. Rational Equations and Functions
9.1. Inverse and Joint Variation
Direct and Inverse Variation
9.2. Graphing Simple Rational Functions
Rational Functions
9.3. Graphing General Rational Functions
General Form of a Rational Function
9.4. Multiplying and Dividing Rational Expressions
Dividing Exponential Expressions
10. Quadratic Relations and Conic Sections
10.1. The Distance and Midpoint Formulas
Distance Formula - Activity A
10.2. Parabolas
Parabolas - Activity A
10.3. Circles
Circles
10.4. Ellipses
Ellipse - Activity A
10.5. Hyperbolas
Hyperbola - Activity A
11. Sequences and Series
11.2. Arithmetic Sequences and Series
Arithmetic Sequences
11.3. Geometric Sequences and Series
Geometric Sequences
12. Probability and Statistics
12.1. The Fundamental Counting Principle and Permutations
Permutations
12.2. Combinations and the Binomial Theorem
Permutations and Combinations
12.3. An Introduction to Probability
Probability Simulations
Geometric Probability - Activity A
12.4. Probability of Compound Events
Theoretical and Experimental Probability
12.5. Probability of Independent and Dependent Events
Compound Independent and Dependent Events
12.6. Binomial Distributions
Binomial Probabilities
13. Trigonometric Ratios and Functions
13.1. Right Triangle Trigonometry
Sine, Cosine and Tangent
Sine and Cosine Ratios - Activity B
13.3. Trigonometric Functions of Any Angle
Sine Function
Cosine Function
Tangent Function
Unit Circle
14. Trigonometric Graphs, Identities, and Equations
14.1. Graphing Sine, Cosine, and Tangent Functions
Sine Function
Cosine Function
Tangent Function
Unit Circle
14.2. Translations and Reflections of Trigonometric Graphs
Translating and Scaling Sine and Cosine Functions - Activity A
14.3. Verifying Trigonometric Identities
Simplifying and Verifying Trigonometric Functions
14.6. Using Sum and Difference Formulas
Sum and Difference Identities for Sine and Cosine
14.7. Using Double- and Half-Angle Formulas
Sum and Difference Identities for Sine and Cosine