1: Equations and Inequalities

1.1: Investigating patterns - Cross-Country Adventures

1.1.1: Numeric and Graphic Representations of Data

Box-and-Whisker Plots
Correlation
Stem-and-Leaf Plots

1.1.2: Writing Expressions

Linear Inequalities in Two Variables
Modeling One-Step Equations
Solving Equations on the Number Line
Using Algebraic Equations
Using Algebraic Expressions

1.2: Solving Equations - What's My Number?

1.2.1: Writing 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 Equations on the Number Line
Using Algebraic Equations

1.2.2: Equations with Variables on Both Sides

Point-Slope Form of a Line
Solving Equations by Graphing Each Side
Standard Form of a Line

1.2.3: Solving More Complex Equations

Point-Slope Form of a Line
Solving Equations by Graphing Each Side
Standard Form of a Line

1.2.5: Solving Literal Equations for a Variable

Area of Triangles
Solving Formulas for any Variable

1.3: Solving Inequalities - Physical Fitness Zones

1.3.1: Inequalities and Their Solutions

Exploring Linear Inequalities in One Variable
Linear Inequalities in Two Variables
Quadratic Inequalities
Solving Linear Inequalities in One Variable
Systems of Linear Inequalities (Slope-intercept form)

1.3.2: Solving Inequalities

Compound Inequalities
Exploring Linear Inequalities in One Variable
Linear Inequalities in Two Variables
Solving Linear Inequalities in One Variable

1.3.3: Compound Inequalities

Absolute Value Equations and Inequalities
Comparing and Ordering Decimals
Compound Inequalities
Solving Linear Inequalities in One Variable

1.4: Absolute Value Equations and Inequalities - Student Distances

1.4.1: Absolute Value Equations

Absolute Value Equations and Inequalities
Absolute Value with Linear Functions

1.4.2: Absolute Value Inequalities

Absolute Value Equations and Inequalities
Compound Inequalities

2: Functions

2.5: Functions and Function Notation - Vending Machines

2.5.1: Relations and Functions

Function Machines 1 (Functions and Tables)
Function Machines 2 (Functions, Tables, and Graphs)
Function Machines 3 (Functions and Problem Solving)
Introduction to Functions
Linear Functions
Points, Lines, and Equations

2.5.2: Domain and Range

Function Machines 3 (Functions and Problem Solving)
Introduction to Functions
Radical Functions

2.6: Interpreting Graphs of Functions - Shake, Rattle and Roll

2.6.1: Key Features of Graphs

General Form of a Rational Function
Graphs of Polynomial Functions
Quadratics in Polynomial Form

2.6.2: More Complex Graphs

General Form of a Rational Function
Graphs of Polynomial Functions
Quadratics in Polynomial Form

2.6.3: Graphs of Real-World Situations

Quadratics in Polynomial Form

2.7: Graphs of Functions - Experiment Experiences

2.7.1: The Spring Experiment

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

2.7.2: The Falling Object Experiment

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

2.7.3: The Radioactive Decay Experiment

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

2.8: Transformations of Functions - Transformers

2.8.1: Exploring f(x)-k

Exponential Functions
Introduction to Exponential Functions
Rational Functions
Translating and Scaling Functions
Translations

2.8.2: Exploring f(x + k)

Exponential Functions
Introduction to Exponential Functions
Rational Functions
Translating and Scaling Functions
Translations

2.9: Rates of Change - Ramp It Up

2.9.1: Slope

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

2.9.2: Slope and Rate of Change

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

2.9.3: More About Slopes

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

2.10: Linear Models - Stacking Boxes

2.10.1: Direct Variation

Direct and Inverse Variation

2.10.2: Indirect Variation

Direct and Inverse Variation

2.10.3: Another Linear Model

Absolute Value with Linear Functions
Arithmetic Sequences
Function Machines 2 (Functions, Tables, and Graphs)
Function Machines 3 (Functions and Problem Solving)
Linear Functions
Simple and Compound Interest
Slope-Intercept Form of a Line

2.10.4: Inverse Functions

Function Machines 3 (Functions and Problem Solving)

2.11: Arithmetic Sequences - Picky Patterns

2.11.1: Identifying Arithmetic Sequences

Arithmetic Sequences
Arithmetic and Geometric Sequences

2.11.2: A Formula for Arithmetic Sequences

Arithmetic Sequences

2.11.3: Arithmetic Sequences as Functions

Arithmetic Sequences
Arithmetic and Geometric Sequences

2.11.4: Recursive Formulas

Arithmetic Sequences
Geometric Sequences

2.12: Forms of Linear Functions - Under Pressure

2.12.1: Slope - Intercept Form

Points, Lines, and Equations
Slope-Intercept Form of a Line

2.12.2: Point - Slope Form

Point-Slope Form of a Line

2.12.3: Standard Form

Standard Form of a Line

2.12.4: Slopes of Parallel and Perpendicular Lines

Cat and Mouse (Modeling with Linear Systems)

2.13: Equations from data - Pass the Book

2.13.1: Scatter Plots and Trend Lines

Correlation
Least-Squares Best Fit Lines
Solving Using Trend Lines
Trends in Scatter Plots

2.13.2: Linear Regression

Correlation
Least-Squares Best Fit Lines
Solving Using Trend Lines
Trends in Scatter Plots

3: Extensions of Linear Concepts

3.14: Piecewise-Defined Linear Functions - Breakfast for Bowser

3.14.2: Writing Functions and Finding Domain and Range

Function Machines 1 (Functions and Tables)
Function Machines 3 (Functions and Problem Solving)
Introduction to Functions
Points, Lines, and Equations
Radical Functions

3.15: Comparing Equations - A Tale of a Trucker

3.15.1: Writing Equations from Graphs and Tables

Absolute Value Equations and Inequalities
Linear Inequalities in Two Variables
Points, Lines, and Equations
Quadratics in Polynomial Form
Solving Equations on the Number Line

3.15.3: Writing Equations from Verbal Descriptions

Linear Functions
Solving Equations on the Number Line
Using Algebraic Equations

3.16: Inequalities in Two Variables - Shared Storage

3.16.1: Writing and Graphing Inequalities in Two Variables

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

3.16.2: Graphing Inequalities in Two Variables

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

3.17: Solving Systems of Linear Equations - A Tale of Two Truckers

3.17.1: The Graphing Method

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)

3.17.2: Using Tables and the Substitution Method

Solving Linear Systems (Matrices and Special Solutions)
Solving Linear Systems (Slope-Intercept Form)
Solving Linear Systems (Standard Form)

3.17.3: The Elimination Method

Solving Linear Systems (Standard Form)

3.17.4: Systems Without a Unique Solution

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

3.17.5: Classifying Systems of Equations

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

3.18: Solving Systems of Linear Inequalities - Which Region is it?

3.18.2: Interpreting the Solution of a System of Inequalities

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

4: Exponents, Radicals, and Polynomials

4.19: Exponent Rules - Icebergs and Exponents

4.19.1: Basic Exponent Properties

Dividing Exponential Expressions
Exponents and Power Rules
Multiplying Exponential Expressions

4.19.2: Negative and Zero Powers

Dividing Exponential Expressions
Exponents and Power Rules
Multiplying Exponential Expressions

4.19.3: Additional Properties of Exponents

Dividing Exponential Expressions
Exponents and Power Rules
Multiplying Exponential Expressions

4.20: Operations with Radicals - Go Fly a Kite

4.20.1: Radical Expressions

Operations with Radical Expressions
Simplifying Radical Expressions

4.20.2: Adding and Subtracting Radical Expressions

Operations with Radical Expressions

4.21: Geometric Sequences - Go Viral!

4.21.1: Identifying Geometric Sequences

Arithmetic and Geometric Sequences
Geometric Sequences

4.21.2: Formulas for Geometric Sequences

Geometric Sequences

4.22: Exponential Functions - Protecting Your Investment

4.22.1: Exponential Functions and Exponential Growth

Exponential Functions
Introduction to Exponential Functions
Simple and Compound Interest

4.22.2: Exponential decay

Simple and Compound Interest

4.22.3: Graphs of Exponential Functions

Exponential Functions
Introduction to Exponential Functions
Simple and Compound Interest

4.23: Modeling with Exponential Functions - Growing, Growing, Gone

4.23.1: Compound Interest

Simple and Compound Interest

4.23.2: Population Growth

Simple and Compound Interest

4.24: Adding and Subtracting Polynomials - Polynomials in the Sun

4.24.2: Adding Polynomials

Addition and Subtraction of Functions
Addition of Polynomials

4.24.3: Subtracting Polynomials

Addition and Subtraction of Functions
Addition of Polynomials

4.25: Multiplying Polynomials - Tri-Com Computers

4.25.3: Multiplying Polynomials

Modeling the Factorization of x²+bx+c

4.26: Factoring - Factors of Construction

4.26.1: Factoring by Greatest Common Fact (GCF)

Factoring Special Products

4.26.2: Factoring Special Products

Factoring Special Products
Modeling the Factorization of ax²+bx+c
Modeling the Factorization of x²+bx+c

4.27: Factoring Trinomials - Deconstruction Floor Plans

4.27.1: Factoring x² + bx + c

Factoring Special Products
Modeling the Factorization of ax²+bx+c
Modeling the Factorization of x²+bx+c

4.27.2: Factoring ax² + bx + c

Factoring Special Products
Modeling the Factorization of ax²+bx+c
Modeling the Factorization of x²+bx+c

4.28: Simplifying Rational Expressions - Totally Rational

4.28.2: Dividing Polynomials

Dividing Polynomials Using Synthetic Division

5: Quadratic Functions

5.29: Introductions to Quadratic Functions - Touchlines

5.29.1: Modeling with Quadratic Functions

Addition and Subtraction of Functions
Quadratics in Polynomial Form

5.29.2: Graphing and Analyzing a Quadratic Function

Addition and Subtraction of Functions
Exponential Functions
Quadratics in Factored Form
Quadratics in Polynomial Form
Roots of a Quadratic
Translating and Scaling Functions

5.30: Graphing Quadratic Functions - Transformers

5.30.1: Translations of the Quadratic Parent Function

Translating and Scaling Functions
Translations

5.30.2: Stretching and Shrinking the Quadratic Parent Function

Translating and Scaling Functions

5.30.3: Multiple Transformations of the Quadratic Parent Function

Exponential Functions
Translating and Scaling Functions
Translations

5.31: Solving Quadratic Equations by Graphing and Factoring - Trebuchet Trials

5.31.1: Solving by Graphing or Factoring

Modeling the Factorization of x²+bx+c
Quadratics in Factored Form
Quadratics in Polynomial Form
Roots of a Quadratic

5.31.2: The Axis of Symmetry and the Vertex

Parabolas
Roots of a Quadratic

5.31.3: Graphing a Quadratic Function

Addition and Subtraction of Functions
Exponential Functions
Quadratics in Factored Form
Quadratics in Polynomial Form
Roots of a Quadratic
Translating and Scaling Functions

5.32: Algebraic Methods of Solving Quadratic Equations - Keeping it Quadratic

5.32.1: The Square Root method

Roots of a Quadratic

5.32.2: Completing the Square

Circles

5.32.3: The Quadratic Formula

Roots of a Quadratic

5.32.4: Choosing a Method and using the Discriminate

Roots of a Quadratic

5.32.5: Complex Solutions

Roots of a Quadratic

5.34: Modeling with Functions - Photo App

5.34.1: Constructing Models

Function Machines 1 (Functions and Tables)
Function Machines 2 (Functions, Tables, and Graphs)
Function Machines 3 (Functions and Problem Solving)
Linear Functions

5.34.2: Comparing Models

Function Machines 1 (Functions and Tables)
Function Machines 2 (Functions, Tables, and Graphs)
Function Machines 3 (Functions and Problem Solving)
Linear Functions

5.34.3: Extending Models

Function Machines 1 (Functions and Tables)
Function Machines 2 (Functions, Tables, and Graphs)
Function Machines 3 (Functions and Problem Solving)
Linear Functions

6: Probability and Statistics

6.36: Measures of Center and Spread - To Text, or Not to Text

6.36.1: Mean, Median, Mode and MAD

Box-and-Whisker Plots
Describing Data Using Statistics
Mean, Median, and Mode
Movie Reviewer (Mean and Median)
Populations and Samples
Reaction Time 1 (Graphs and Statistics)
Stem-and-Leaf Plots

6.36.2: Another Measure of Variability

Box-and-Whisker Plots
Describing Data Using Statistics
Movie Reviewer (Mean and Median)

6.37: Dot and Box Plots and the Normal Distribution - Disturbing Coyotes

6.37.1: Dots Plots and Box Plots

Box-and-Whisker Plots
Mean, Median, and Mode
Reaction Time 1 (Graphs and Statistics)

6.37.2: Modified Box Plots

Box-and-Whisker Plots

6.37.3: Normally Distributed

Polling: City
Populations and Samples

6.38: Correlation - What's the Relationship?

6.38.1: Scatter Plots

Correlation
Least-Squares Best Fit Lines
Solving Using Trend Lines
Trends in Scatter Plots

6.38.2: Correlation Coefficient

Correlation

6.39: The Best-Fit Line - Regressing Linearly

6.39.1: Line of the Best fit

Correlation
Least-Squares Best Fit Lines
Solving Using Trend Lines
Trends in Scatter Plots

6.39.2: Residuals

Least-Squares Best Fit Lines
Solving Using Trend Lines
Trends in Scatter Plots

6.39.3: Interpreting the Slope and Intercept of the Best-Fit Line

Solving Using Trend Lines
Trends in Scatter Plots

6.39.4: Plotting Residuals

Least-Squares Best Fit Lines
Solving Using Trend Lines
Trends in Scatter Plots