1: Quantities and Modeling

1.1: Quantitative Reasoning

1.1.1: Solving Equations

Circles
Modeling One-Step Equations
Modeling and Solving Two-Step Equations
Solving Algebraic Equations II
Solving Equations on the Number Line

1.1.3: Reporting with Precision and Accuracy

Polling: Neighborhood

1.2: Algebraic Models

1.2.1: Modeling with Expressions

Solving Equations on the Number Line

1.2.2: Creating and Solving Equations

Absolute Value Equations and Inequalities
Circles
Linear Inequalities in Two Variables
Modeling One-Step Equations
Modeling and Solving Two-Step Equations
Solving Algebraic Equations II
Solving Equations on the Number Line
Using Algebraic Equations

1.2.3: Solving for a Variable

Area of Triangles
Solving Formulas for any Variable

1.2.4: Creating and Solving Inequalities

Absolute Value Equations and Inequalities
Compound Inequalities
Exploring Linear Inequalities in One Variable
Linear Inequalities in Two Variables
Solving Linear Inequalities in One Variable

1.2.5: Creating and Solving Compound Inequalities

Absolute Value Equations and Inequalities
Compound Inequalities
Solving Linear Inequalities in One Variable

2: Understanding Functions

2.3: Functions and Models

2.3.1: Graphing Relationships

Introduction to Functions
Linear Functions

2.3.2: Understanding Relations and Functions

Introduction to Functions
Linear Functions
Points, Lines, and Equations

2.3.3: Modeling with Functions

Linear Functions

2.3.4: Graphing Functions

Absolute Value with Linear Functions
Exponential Functions
Introduction to Exponential Functions
Point-Slope Form of a Line
Quadratics in Factored Form
Quadratics in Polynomial Form
Radical Functions
Standard Form of a Line

2.4: Patterns and Sequences

2.4.1: Identifying and Graphing Sequences

Arithmetic Sequences
Geometric Sequences

2.4.2: Constructing Arithmetic Sequences

Arithmetic Sequences
Arithmetic and Geometric Sequences

2.4.3: Modeling with Arithmetic Sequences

Arithmetic Sequences
Arithmetic and Geometric Sequences

3: Linear Functions, Equations, and Inequalities

3.5: Linear Functions

3.5.1: Understanding Linear Functions

Absolute Value with Linear Functions
Arithmetic Sequences
Compound Interest
Linear Functions
Slope-Intercept Form of a Line

3.5.2: Using Intercepts

Cat and Mouse (Modeling with Linear Systems)
Logarithmic Functions
Points, Lines, and Equations
Roots of a Quadratic
Slope-Intercept Form of a Line

3.5.3: Interpreting Rate of Change and Slope

Cat and Mouse (Modeling with Linear Systems)
Point-Slope Form of a Line
Slope
Slope-Intercept Form of a Line

3.6: Forms of Linear Equations

3.6.1: Slope-Intercept Form

Linear Inequalities in Two Variables
Points, Lines, and Equations
Slope-Intercept Form of a Line

3.6.2: Point-Slope Form

Point-Slope Form of a Line

3.6.3: Standard Form

Standard Form of a Line

3.6.4: Transforming Linear Functions

Absolute Value with Linear Functions
Exponential Functions

3.6.5: Comparing Properties of Linear Functions

Graphs of Polynomial Functions
Linear Functions
Slope-Intercept Form of a Line

3.7: Linear Equations and Inequalities

3.7.1: Modeling Linear Relationships

Absolute Value with Linear Functions
Linear Functions
Modeling and Solving Two-Step Equations

3.7.2: Using Functions to Solve One-Variable Equations

Arithmetic Sequences
Geometric Sequences

3.7.3: Linear Inequalities in Two Variables

Linear Inequalities in Two Variables
Systems of Linear Inequalities (Slope-intercept form)

4: Statistical Models

4.8: Multi-Variable Categorical Data

4.8.1: Two-Way Frequency Tables

Histograms

4.9: One-Variable Data Distributions

4.9.1: Measures of Center and Spread

Box-and-Whisker Plots
Describing Data Using Statistics
Mean, Median, and Mode
Reaction Time 1 (Graphs and Statistics)
Real-Time Histogram
Stem-and-Leaf Plots

4.9.2: Data Distributions and Outliers

Box-and-Whisker Plots
Describing Data Using Statistics
Least-Squares Best Fit Lines
Mean, Median, and Mode
Populations and Samples
Reaction Time 1 (Graphs and Statistics)
Real-Time Histogram

4.9.3: Histograms and Box Plots

Box-and-Whisker Plots
Histograms
Real-Time Histogram
Sight vs. Sound Reactions

4.9.4: Normal Distributions

Polling: City
Populations and Samples
Sight vs. Sound Reactions

4.10: Linear Modeling and Regression

4.10.1: Scatter Plots and Trend Lines

Correlation
Determining a Spring Constant
Least-Squares Best Fit Lines
Solving Using Trend Lines
Trends in Scatter Plots

4.10.2: Fitting a Linear Model to Data

Least-Squares Best Fit Lines
Solving Using Trend Lines
Trends in Scatter Plots
Zap It! Game

5: Linear Systems and Piecewise-Defined Functions

5.11: Solving Systems of Linear Equations

5.11.1: Solving Linear Systems by Graphing

Cat and Mouse (Modeling with Linear Systems)
Solving Equations by Graphing Each Side
Solving Linear Systems (Matrices and Special Solutions)
Solving Linear Systems (Slope-Intercept Form)

5.11.2: Solving Linear Systems by Substitution

Solving Linear Systems (Slope-Intercept Form)
Solving Linear Systems (Standard Form)

5.11.3: Solving Linear Systems by Adding or Subtracting

Solving Linear Systems (Standard Form)

5.11.4: Solving Linear Systems by Multiplying First

Solving Linear Systems (Standard Form)

5.12: Modeling with Linear Systems

5.12.1: Creating Systems of Linear Equations

Solving Equations by Graphing Each Side
Solving Linear Systems (Matrices and Special Solutions)
Solving Linear Systems (Standard Form)

5.12.2: Creating Systems of Linear Inequalities

Linear Programming
Systems of Linear Inequalities (Slope-intercept form)

5.12.3: Modeling with Linear Systems

Cat and Mouse (Modeling with Linear Systems)
Solving Linear Systems (Matrices and Special Solutions)
Solving Linear Systems (Standard Form)

5.13: Piecewise-Defined Functions

5.13.2: Absolute Value Functions and Transformations

Absolute Value with Linear Functions
Translating and Scaling Functions

5.13.3: Solving Absolute Value Equations

Absolute Value Equations and Inequalities
Absolute Value with Linear Functions

5.13.4: Solving Absolute Value Inequalities

Absolute Value Equations and Inequalities
Compound Inequalities

6: Exponential Relationships

6.14: Rational Exponents and Radicals

6.14.1: Understanding Rational Exponents and Radicals

Operations with Radical Expressions
Square Roots

6.15: Geometric Sequences and Exponential Functions

6.15.1: Understanding Geometric Sequences

Arithmetic and Geometric Sequences
Geometric Sequences

6.15.2: Constructing Geometric Sequences

Arithmetic and Geometric Sequences
Geometric Sequences

6.15.3: Constructing Exponential Functions

Compound Interest
Introduction to Exponential Functions

6.15.4: Graphing Exponential Functions

Compound Interest
Exponential Functions
Introduction to Exponential Functions
Logarithmic Functions

6.15.5: Transforming Exponential Functions

Exponential Functions
Introduction to Exponential Functions

6.16: Exponential Equations and Models

6.16.1: Using Graphs and Properties to Solve Equations with Exponents

Exponential Functions

6.16.2: Modeling Exponential Growth and Decay

Compound Interest

7: Polynomial Operations

7.17: Adding and Subtracting Polynomials

7.17.2: Adding Polynomial Expressions

Addition and Subtraction of Functions
Addition of Polynomials

7.17.3: Subtracting Polynomial Expressions

Addition and Subtraction of Functions
Addition of Polynomials

7.18: Multiplying Polynomials

7.18.2: Multiplying Polynomial Expressions

Modeling the Factorization of x²+bx+c

7.18.3: Special Products of Binomials

Factoring Special Products

8: Quadratic Functions

8.19: Graphing Quadratic Functions

8.19.1: Understanding Quadratic Functions

Addition and Subtraction of Functions
Quadratics in Factored Form
Quadratics in Polynomial Form
Roots of a Quadratic
Translating and Scaling Functions
Zap It! Game

8.19.2: Transforming Quadratic Functions

Exponential Functions
Translating and Scaling Functions
Translations
Zap It! Game

8.20: Connecting Intercepts, Zeros and Factors

8.20.1: Connecting Intercepts and Zeros

Cat and Mouse (Modeling with Linear Systems)
Logarithmic Functions
Modeling the Factorization of x²+bx+c
Points, Lines, and Equations
Polynomials and Linear Factors
Roots of a Quadratic
Slope-Intercept Form of a Line

8.20.2: Connecting Intercepts and Linear Factors

Quadratics in Factored Form

9: Quadratic Equations and Modeling

9.21: Using Factors to Solve Quadratic Equations

9.21.1: Solving Equations by Factoring x² + bx + c

Modeling the Factorization of x²+bx+c

9.21.2: Solving Equations by Factoring ax² + bx + c

Modeling the Factorization of x²+bx+c

9.21.3: Using Special Factors to Solve Equations

Modeling the Factorization of x²+bx+c

9.22: Using Square Roots to Solve Quadratic Equations

9.22.1: Solving Equations by Taking Square Roots

Roots of a Quadratic

9.22.2: Solving Equations by Completing the Square

Roots of a Quadratic

9.22.3: Using the Quadratic Formula to Solve Equations

Roots of a Quadratic

9.22.4: Choosing a Method for Solving Quadratic Equations

Roots of a Quadratic

9.23: Linear, Exponential and Quadratic Models

9.23.2: Comparing Linear, Exponential and Quadratic Models

Exponential Functions

10: Inverse Relationships

10.24: Functions and Inverses

10.24.1: Graphing Polynomial Functions

Graphs of Polynomial Functions
Polynomials and Linear Factors
Quadratics in Factored Form

10.24.2: Understanding Inverse Functions

Logarithmic Functions

10.24.3: Graphing Square Root Functions

Radical Functions

10.24.4: Graphing Cube Root Functions

Radical Functions