1. Real Numbers, Algebra, and Problem Solving
1.1. Real Numbers and Operations
Adding Real Numbers
1.2. Multiplication and Division of Real Numbers
Dividing Fractions
1.3. Algebraic Expressions and Properties of Numbers
Using Algebraic Expressions
1.5. Solving Equations
Modeling and Solving Two-Step Equations
Solving Two-Step Equations
1.6. Writing Equations
Using Algebraic Equations
1.8. Properties of Exponents
Exponents and Power Rules
Multiplying Exponential Expressions
Dividing Exponential Expressions
2. Equations and Inequalities
2.2. Using Equations
Using Algebraic Equations
2.3. Solving Formulas
Solving Formulas for any Variable
2.4. Solving Inequalities
Solving Linear Inequalities using Addition and Subtraction
Solving Linear Inequalities using Multiplication and Division
2.6. Compound Inequalities
Compound Inequalities
2.7. Absolute Value
Inequalities Involving Absolute Values
2.8. Proofs in Solving Equations
Conditional Statement
3. Relations, Functions, and Graphs
3.2. Graphs
Points in the Coordinate Plane - Activity B
3.3. Functions
Introduction to Functions
3.4. Graphs of Linear Equations
Linear Functions
Using Tables, Rules and Graphs
3.5. Slope
Slope - Activity A
3.6. More Equations of Lines
Slope-Intercept Form of a Line - Activity A
4. Systems of Equations and Problem Solving
4.1. Systems of Equations in Two Variables
Solving Linear Systems by Graphing
4.3. Using a System of Two Equations
Modeling Linear Systems - Activity B
4.6. Consistent and Dependent Systems
Special Types of Solutions to Linear Systems
Systems of Linear Equations - Activity B
4.7. Systems of Inequalities
Systems of Linear Inequalities (Standard form)
Systems of Linear Inequalities (Slope-intercept form) - Activity A
4.8. Using Linear Programming
Linear Programming - Activity A
5. Polynomials and Polynomial Equations
5.2. Addition and Subtraction of Polynomials
Addition of Polynomials - Activity B
5.4. Factoring
Factoring Special Products
Polynomials and Linear Factors
5.5. More Factoring
Modeling the Factorization of x2+bx+c
Modeling the Factorization of ax2+bx+c
5.7. Solving Equations by Factoring
Quadratics in Factored Form
Polynomials and Linear Factors
5.8. Using Equations
Maximize Area
Minimize Perimeter
6. Rational Expressions and Equations
6.5. Synthetic Division
Dividing Polynomials Using Synthetic Division
6.7. Using Rational Equations
Direct and Inverse Variation
6.8. Formulas
Solving Formulas for any Variable
6.9. Variation and Problem Solving
Direct and Inverse Variation
6.10. Reasoning Strategies
Finding Patterns
7. Powers, Roots, and Complex Numbers
7.1. Radical Expressions
Simplifying Radicals - Activity A
7.2. Multiplying and Simplifying
Operations with Radical Expressions
7.3. Operations with Radical Expressions
Operations with Radical Expressions
7.4. More Operations with Radical Expressions
Operations with Radical Expressions
7.8. Complex Numbers and Graphing
Points in the Complex Plane - Activity A
8. Quadratic Equations
8.3. The Quadratic Formula
Roots of a Quadratic
8.4. Solutions to Quadratic Equations
Roots of a Quadratic
9. Quadratic Functions and Transformations
9.2. Transformations
Translating and Scaling Functions
9.3. Stretching and Shrinking
Translating and Scaling Functions
9.4. Graphs of Quadratic Functions
Quadratics in Vertex Form - Activity A
9.5. Graphs of f(x)=a(x-h)2+ k
Quadratics in Vertex Form - Activity A
9.6. Standard Form for Quadratic Functions
Quadratics in Polynomial Form - Activity A
9.7. Graphs and x-intercepts
Roots of a Quadratic
10. Equations of Second Degree
10.1. Coordinate Geometry
Distance Formula - Activity A
10.2. Conic Sections: Circles
Circles
10.3. Ellipses
Ellipse - Activity A
10.4. Hyperbolas
Hyperbola - Activity A
10.5. Parabolas
Parabolas - Activity A
11. Polynomial Functions
11.2. The Remainder and Factor Theorems
Dividing Polynomials Using Synthetic Division
11.3. Theorems About Roots
Polynomials and Linear Factors
11.6. Graphs of Polynomial Functions
Fourth-Degree Polynomials - Activity A
12. Inverse Relations and Functions
12.2. Exponential and Logarithmic Functions
Exponential Functions - Activity A
Logarithmic Functions - Activity B
12.3. Exponential and Logarithmic Relationships
Logarithmic Functions - Activity A
12.4. Properties of Logarithmic Functions
Logarithmic Functions - Activity A
12.8. Natural Logarithms and the Number e
Exponential Functions - Activity C
13. Matrices
13.1. Matrices and Systems of Equations
Systems of Linear Equations - Activity A
13.2. Addition and Subtraction of Matrices
Translations
14. Sequences, Series, and Mathematical Induction
14.2. Arithmetic Sequences and Series
Arithmetic Sequences
14.3. Geometric Sequences and Series
Geometric Sequences
15. Counting and Probability
15.1. Counting Problems and Permutations
Permutations
15.3. Combinations
Permutations and Combinations
15.5. Probability
Geometric Probability - Activity A
Probability Simulations
15.6. Compound Probability
Compound Independent and Dependent Events
15.7. Simulating Events
Binomial Probabilities
Probability Simulations
Theoretical and Experimental Probability
16. Statistics and Data Analysis
16.1. Statistics: Organizing Data
Stem-and-Leaf Plots
Histograms
16.2. Using Measures of Central Tendency
Mean, Median and Mode
Describing Data Using Statistics
Box-and-Whisker Plots
Line Plots
17. Trigonometric Functions
17.1. Trigonometric Functions in Triangles
Sine, Cosine and Tangent
Sine and Cosine Ratios - Activity A
Tangent Ratio
17.2. More Trigonometric Functions
Unit Circle
17.5. Graphs of Trigonometric Functions
Sine Function
Tangent Function
Cosine Function
17.6. Trigonometric Function Relationships
Simplifying and Verifying Trigonometric Functions
17.7. More Trigonometric Graphs
Translating and Scaling Sine and Cosine Functions - Activity A
18. Trigonometric Identities and Equations
18.1. Sum and Difference Identities
Sum and Difference Identities for Sine and Cosine
18.3. Proving Identities
Simplifying and Verifying Trigonometric Functions
18.6. Right Triangles and Problem Solving
Sine and Cosine Ratios - Activity B