1: Expressions, Equations, and Inequalities
1.1: Patterns and Expressions
Arithmetic and Geometric Sequences
1.4: Solving Equations
Solving Formulas for any Variable
Solving Two-Step Equations
1.6: Absolute Value Equations and Inequalities
Inequalities Involving Absolute Values
2: Functions, Equations, and Graphs
2.1: Relations and Functions
Introduction to Functions
2.2: Direct Variation
Direct Variation
2.3: Linear Functions and Slope-Intercept Form
Linear Functions
Slope-Intercept Form of a Line - Activity A
2.4: More About Linear Equations
Point-Slope Form of a Line - Activity A
Standard Form of a Line
2.5: Using Linear Models
Determining a Spring Constant
2.6: Families of Functions
Translating and Scaling Functions
2.7: Absolute Value Functions and Graphs
Absolute Value with Linear Functions - Activity A
Quadratic and Absolute Value Functions
2.8: Two-Variable Inequalities
Linear Inequalities in Two Variables - Activity A
3: Linear Systems
3.1: Solving Systems Using Tables and Graphs
Solving Linear Systems by Graphing
3.2: Solving Systems Algebraically
Systems of Linear Equations - Activity A
3.3: Systems of Inequalities
System of Two Quadratic Inequalities
Systems of Linear Inequalities (Slope-intercept form) - Activity A
3.4: Linear Programming
Linear Inequalities in Two Variables - Activity A
4: Quadratic Functions and Equations
4.1: Quadratic Functions and Transformations
Quadratics in Vertex Form - Activity A
4.2: Standard Form of a Quadratic Function
Quadratic Functions
4.4: Factoring Quadratic Expressions
Factoring Special Products
Modeling the Factorization of ax2+bx+c
Modeling the Factorization of x2+bx+c
4.5: Quadratic Equation
Roots of a Quadratic
4.7: The Quadratic Formula
Roots of a Quadratic
4.9: Quadratic Systems
System of Two Quadratic Inequalities
5: Polynomials and Polynomial Functions
5.1: Polynomial Functions
Fourth-Degree Polynomials - Activity A
5.2: Polynomials, Linear Factors, and Zeros
Polynomials and Linear Factors
5.4: Dividing Polynomials
Dividing Polynomials Using Synthetic Division
6: Radical Functions and Rational Exponents
6.1: Roots and Radical Expressions
Simplifying Radicals - Activity B
6.2: Multiplying and Dividing Radical Expressions
Operations with Radical Expressions
6.8: Graphing Radical Functions
Radical Functions
7: Exponential and Logarithmic Functions
7.1: Exploring Exponential Models
Exponential Growth and Decay - Activity A
Half-life
Simple and Compound Interest
7.2: Properties of Exponential Functions
Exponential Functions - Activity B
7.3: Logarithmic Functions as Inverses
Logarithmic Functions - Activity A
7.4: Properties of Logarithms
Logarithmic Functions: Translating and Scaling
8: Rational Functions
8.1: Inverse Variation
Direct and Inverse Variation
8.3: Rational Functions and Their Graphs
General Form of a Rational Function
Rational Functions
9: Sequences and Series
9.1: Mathematical Patterns
Finding Patterns
9.2: Arithmetic Sequences
Arithmetic Sequences
9.3: Geometric Sequences
Geometric Sequences
10: Quadratic Relations and Conic Sections
10.2: Parabolas
Parabolas - Activity A
10.3: Circles
Circles
10.4: Ellipses
Ellipse - Activity A
10.5: Hyperbolas
Hyperbola - Activity A
11: Probability and Statistics
11.1: Permutations and Combinations
Permutations
Permutations and Combinations
11.2: Probability
Theoretical and Experimental Probability
11.3: Probability of Multiple Events
Compound Independent Events
11.4: Conditional Probability
Compound Independent and Dependent Events
11.5: Analyzing Data
Box-and-Whisker Plots
Describing Data Using Statistics
11.7: Samples and Surveys
Polling: City
Polling: Neighborhood
Populations and Samples
12: Matrices
12.5: Geometric Transformations
Dilations
Rotations, Reflections and Translations
Translations
12.6: Vectors
Adding Vectors
Vectors
13: Periodic Functions and Trigonometry
13.2: Angles and the Unit Circle
Unit Circle
13.4: The Sine Function
Sine Function
13.5: The Cosine Function
Cosine Function
13.6: The Tangent Function
Tangent Function
13.7: Translating Sine and Cosine Functions
Translating and Scaling Sine and Cosine Functions - Activity A
14: Trigonometric Identities and Equations
14.1: Trigonometric Identities
Simplifying Trigonometric Expressions
Sum and Difference Identities for Sine and Cosine
14.3: Right Triangles and Trigonometric Ratios
Sine and Cosine Ratios - Activity B
14.6: Angle Identities
Sum and Difference Identities for Sine and Cosine