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Illustrative Math-Media4Math Alignment

 

 

Illustrative Math Alignment: Grade 8 Unit 3

Linear Relationships

Lesson 12: Solutions to Linear Equations

Use the following Media4Math resources with this Illustrative Math lesson.

Thumbnail Image Title Body Curriculum Topic
VideoTutorial--LinearFunctions6.jpg Video Tutorial: Linear Functions, Video 6 Video Tutorial: Linear Functions: Negative Slope, Zero y-Intercept

This is part of a collection of video tutorials on the topic of Linear Functions in Slope-Intercept Form.

Graphs of Linear Functions
VideoTutorial--OneStepEquationAddition.jpg Video Tutorial: One-Step Equations: Addition Video Tutorial: One-Step Equations: Addition

This is part of a collection of video tutorials on the topic of One-Step Equations.

Solving One-Step Equations
VideoTutorial--OneStepEquationDivision.jpg Video Tutorial: One-Step Equations: Division Video Tutorial: One-Step Equations: Division

This is part of a collection of video tutorials on the topic of One-Step Equations.

Solving One-Step Equations
VideoTutorial--OneStepEquationMultiplication.jpg Video Tutorial: One-Step Equations: Multiplication Video Tutorial: One-Step Equations: Multiplication

This is part of a collection of video tutorials on the topic of One-Step Equations.

Solving One-Step Equations
VideoTutorial--OneStepEquationSubtraction.jpg Video Tutorial: One-Step Equations: Subtraction Video Tutorial: One-Step Equations: Subtraction

This is part of a collection of video tutorials on the topic of One-Step Equations.

Solving One-Step Equations
Video Tutorial: Slope and Similar Triangles Video Tutorial: Slope and Similar Triangles

In this video explore the relationship between slope and similar triangles.

Slope
VideoTutorial--SlopeFormula10.jpg Video Tutorial: Slope Formula, Video 10 Video Tutorial: Slope Formula: Negative Slope, Coordinates in Quadrants I and II

This is part of a collection of video tutorials on the topic of the Slope Formula. These videos cover ways of calculating slope, as well as positive, negative, zero, and undefined slope.

—CLICK PREVIEW TO SEE THE VIDEO TUTORIAL— To see the complete collection of the video tutorials on this topic, click on this link.

The following section includes background information on the slope formula. Refer to this as you review all the videos in the collection.

What Is Slope?

Slope is a surprisingly complicated concept. Slope involves these components.

Slope
VideoTutorial--SlopeFormula11.jpg Video Tutorial: Slope Formula, Video 11 Video Tutorial: Slope Formula: Positive Slope, Coordinates in Quadrants III and IV

This is part of a collection of video tutorials on the topic of the Slope Formula. These videos cover ways of calculating slope, as well as positive, negative, zero, and undefined slope.

—CLICK PREVIEW TO SEE THE VIDEO TUTORIAL— To see the complete collection of the video tutorials on this topic, click on this link.

The following section includes background information on the slope formula. Refer to this as you review all the videos in the collection.

What Is Slope?

Slope is a surprisingly complicated concept. Slope involves these components.

Slope
VideoTutorial--SlopeFormula12.jpg Video Tutorial: Slope Formula, Video 12 Video Tutorial: Slope Formula: Negative Slope, Coordinates in Quadrants III and IV

This is part of a collection of video tutorials on the topic of the Slope Formula. These videos cover ways of calculating slope, as well as positive, negative, zero, and undefined slope.

—CLICK PREVIEW TO SEE THE VIDEO TUTORIAL— To see the complete collection of the video tutorials on this topic, click on this link.

The following section includes background information on the slope formula. Refer to this as you review all the videos in the collection.

What Is Slope?

Slope is a surprisingly complicated concept. Slope involves these components.

Slope
VideoTutorial--SlopeFormula2.jpg Video Tutorial: Slope Formula, Video 2 Video Tutorial: Slope Formula: Negative Slope, Coordinates in Quadrant I

This is part of a collection of video tutorials on the topic of the Slope Formula. These videos cover ways of calculating slope, as well as positive, negative, zero, and undefined slope.

—CLICK PREVIEW TO SEE THE VIDEO TUTORIAL— To see the complete collection of the video tutorials on this topic, click on this link.

The following section includes background information on the slope formula. Refer to this as you review all the videos in the collection.

What Is Slope?

Slope is a surprisingly complicated concept. Slope involves these components.

Slope
VideoTutorial--SlopeFormula3.jpg Video Tutorial: Slope Formula, Video 3 Video Tutorial: Slope Formula: Positive Slope, Coordinates in Quadrant II

This is part of a collection of video tutorials on the topic of the Slope Formula. These videos cover ways of calculating slope, as well as positive, negative, zero, and undefined slope.

—CLICK PREVIEW TO SEE THE VIDEO TUTORIAL— To see the complete collection of the video tutorials on this topic, click on this link.

The following section includes background information on the slope formula. Refer to this as you review all the videos in the collection.

What Is Slope?

Slope is a surprisingly complicated concept. Slope involves these components.

Slope
VideoTutorial--SlopeFormula4.jpg Video Tutorial: Slope Formula, Video 4 Video Tutorial: Slope Formula: Negative Slope, Coordinates in Quadrant II

This is part of a collection of video tutorials on the topic of the Slope Formula. These videos cover ways of calculating slope, as well as positive, negative, zero, and undefined slope.

—CLICK PREVIEW TO SEE THE VIDEO TUTORIAL— To see the complete collection of the video tutorials on this topic, click on this link.

The following section includes background information on the slope formula. Refer to this as you review all the videos in the collection.

What Is Slope?

Slope is a surprisingly complicated concept. Slope involves these components.

Slope
VideoTutorial--SlopeFormula5.jpg Video Tutorial: Slope Formula, Video 5 Video Tutorial: Slope Formula: Positive Slope, Coordinates in Quadrant III

This is part of a collection of video tutorials on the topic of the Slope Formula. These videos cover ways of calculating slope, as well as positive, negative, zero, and undefined slope.

—CLICK PREVIEW TO SEE THE VIDEO TUTORIAL— To see the complete collection of the video tutorials on this topic, click on this link.

The following section includes background information on the slope formula. Refer to this as you review all the videos in the collection.

What Is Slope?

Slope is a surprisingly complicated concept. Slope involves these components.

Slope
VideoTutorial--SlopeFormula6.jpg Video Tutorial: Slope Formula, Video 6 Video Tutorial: Slope Formula: Negative Slope, Coordinates in Quadrant III

This is part of a collection of video tutorials on the topic of the Slope Formula. These videos cover ways of calculating slope, as well as positive, negative, zero, and undefined slope.

—CLICK PREVIEW TO SEE THE VIDEO TUTORIAL— To see the complete collection of the video tutorials on this topic, click on this link.

The following section includes background information on the slope formula. Refer to this as you review all the videos in the collection.

What Is Slope?

Slope is a surprisingly complicated concept. Slope involves these components.

Slope
VideoTutorial--SlopeFormula7.jpg Video Tutorial: Slope Formula, Video 7 Video Tutorial: Slope Formula: Positive Slope, Coordinates in Quadrant IV

This is part of a collection of video tutorials on the topic of the Slope Formula. These videos cover ways of calculating slope, as well as positive, negative, zero, and undefined slope.

—CLICK PREVIEW TO SEE THE VIDEO TUTORIAL— To see the complete collection of the video tutorials on this topic, click on this link.

The following section includes background information on the slope formula. Refer to this as you review all the videos in the collection.

What Is Slope?

Slope is a surprisingly complicated concept. Slope involves these components.

Slope
VideoTutorial--SlopeFormula8.jpg Video Tutorial: Slope Formula, Video 8 Video Tutorial: Slope Formula: Negative Slope, Coordinates in Quadrant IV

This is part of a collection of video tutorials on the topic of the Slope Formula. These videos cover ways of calculating slope, as well as positive, negative, zero, and undefined slope.

—CLICK PREVIEW TO SEE THE VIDEO TUTORIAL— To see the complete collection of the video tutorials on this topic, click on this link.

The following section includes background information on the slope formula. Refer to this as you review all the videos in the collection.

What Is Slope?

Slope is a surprisingly complicated concept. Slope involves these components.

Slope
VideoTutorial--SlopeFormula9.jpg Video Tutorial: Slope Formula, Video 9 Video Tutorial: Slope Formula: Positive Slope, Coordinates in Quadrants I and II

This is part of a collection of video tutorials on the topic of the Slope Formula. These videos cover ways of calculating slope, as well as positive, negative, zero, and undefined slope.

—CLICK PREVIEW TO SEE THE VIDEO TUTORIAL— To see the complete collection of the video tutorials on this topic, click on this link.

The following section includes background information on the slope formula. Refer to this as you review all the videos in the collection.

What Is Slope?

Slope is a surprisingly complicated concept. Slope involves these components.

Slope
VideoTutorial--SlopeFormula1.jpg Video Tutorial: Slope Formula, Video 1 Video Tutorial: Slope Formula: Positive Slope, Coordinates in Quadrant I

This is part of a collection of video tutorials on the topic of the Slope Formula. These videos cover ways of calculating slope, as well as positive, negative, zero, and undefined slope.

Slope
Video Tutorial: Solving Quadratic Equations by Completing the Square: Example 1 Video Tutorial: Solving Quadratic Equations by Completing the Square: Example 1

This is part of a collection of video tutorials on solving quadratic equations by completing the square. Each video is a step-by-step tutorial.

Note: The download is a PDF template for use in modeling the examples shown in the videos.

Quadratic Equations and Functions
Video Tutorial: Solving Quadratic Equations by Completing the Square: Example 2 Video Tutorial: Solving Quadratic Equations by Completing the Square: Example 2

This is part of a collection of video tutorials on solving quadratic equations by completing the square. Each video is a step-by-step tutorial.

Note: The download is a PDF template for use in modeling the examples shown in the videos.

Quadratic Equations and Functions
Video Tutorial: Solving Quadratic Equations by Completing the Square: Example 3 Video Tutorial: Solving Quadratic Equations by Completing the Square: Example 3

This is part of a collection of video tutorials on solving quadratic equations by completing the square. Each video is a step-by-step tutorial.

Note: The download is a PDF template for use in modeling the examples shown in the videos.

Quadratic Equations and Functions
Video Tutorial: Solving Quadratic Equations by Completing the Square: Example 4 Video Tutorial: Solving Quadratic Equations by Completing the Square: Example 4

This is part of a collection of video tutorials on solving quadratic equations by completing the square. Each video is a step-by-step tutorial.

Note: The download is a PDF template for use in modeling the examples shown in the videos.

Quadratic Equations and Functions
Math Videos Video Tutorial: Types of Slope Video Tutorial: Types of Slope

In this video students learn about the different types of slope. This includes positive slope, negative slope, zero slope, and no slope. This video provides visualizations of these types of slopes without relying on the slope formula.

Slope
Video Tutorial: Using the Quadratic Formula: Example 1 Video Tutorial: Using the Quadratic Formula: Example 1 Video Tutorial: Using the Quadratic Formula: Example 1

This video provides a step-by-step tutorial on using the quadratic formula. In this example there are two real roots. Note the download is a PDF that can used to demonstrate the step-by-step calculations.

Quadratic Formula
Video Tutorial: Using the Quadratic Formula: Example 2 Video Tutorial: Using the Quadratic Formula: Example 2 Video Tutorial: Using the Quadratic Formula: Example 2

This video provides a step-by-step tutorial on using the quadratic formula. In this example there are two real roots. Note the download is a PDF that can used to demonstrate the step-by-step calculations.

Quadratic Formula
Video Tutorial: Using the Quadratic Formula: Example 3 Video Tutorial: Using the Quadratic Formula: Example 3 Video Tutorial: Using the Quadratic Formula: Example 3

This video provides a step-by-step tutorial on using the quadratic formula. In this example there are two real roots. Note the download is a PDF that can used to demonstrate the step-by-step calculations.

Quadratic Formula
Video Tutorial: Using the Quadratic Formula: Example 4 Video Tutorial: Using the Quadratic Formula: Example 4 Video Tutorial: Using the Quadratic Formula: Example 4

This video provides a step-by-step tutorial on using the quadratic formula. In this example there is only one real root. Note the download is a PDF that can used to demonstrate the step-by-step calculations.

Quadratic Formula
Video Tutorial: Using the Quadratic Formula: Example 5 Video Tutorial: Using the Quadratic Formula: Example 5 Video Tutorial: Using the Quadratic Formula: Example 5

This video provides a step-by-step tutorial on using the quadratic formula. In this example there are two complex roots. Note the download is a PDF that can used to demonstrate the step-by-step calculations.

Quadratic Formula
Video Tutorial: Using the Slope Formula: Example 1 Video Tutorial: Using the Slope Formula: Example 1 Video Tutorial: Using the Slope Formula: Example 1

This video provides a step-by-step tutorial on using the slope formula. In this example the slope is positive. Note the download is a PDF that can used to demonstrate the step-by-step calculations.

Slope
Video Tutorial: Using the Slope Formula: Example 2 Video Tutorial: Using the Slope Formula: Example 2 Video Tutorial: Using the Slope Formula: Example 2

This video provides a step-by-step tutorial on using the slope formula. In this example the slope is positive. Note the download is a PDF that can used to demonstrate the step-by-step calculations.

Slope
Video Tutorial: Using the Slope Formula: Example 3 Video Tutorial: Using the Slope Formula: Example 3 Video Tutorial: Using the Slope Formula: Example 3

This video provides a step-by-step tutorial on using the slope formula. In this example the slope is zero. Note the download is a PDF that can used to demonstrate the step-by-step calculations.

Slope
Video Tutorial: Using the Slope Formula: Example 4 Video Tutorial: Using the Slope Formula: Example 4 Video Tutorial: Using the Slope Formula: Example 4

This video provides a step-by-step tutorial on using the slope formula. In this example the slope is negative. Note the download is a PDF that can used to demonstrate the step-by-step calculations.

Slope
Video Tutorial: Using the Slope Formula: Example 5 Video Tutorial: Using the Slope Formula: Example 5 Video Tutorial: Using the Slope Formula: Example 5

This video provides a step-by-step tutorial on using the slope formula. In this example the slope is undefined. Note the download is a PDF that can used to demonstrate the step-by-step calculations.

Slope
Math Videos Video Tutorial: Visualizing Slope Video Tutorial: Visualizing Slope

In this video students learn how to calculate the slope of a line, given two coordinates. This is done by measuring the rise and the run and is a precursor to learning to use the slope formula. The video also discusses positive and negative slopes.

Slope
VIDEO: Brief Review: Addition and Subtraction Expressions VIDEO: Brief Review, Video 14 VIDEO: Brief Review: Addition and Subtraction Expressions

What Is a Variable?

A variable is a symbol, usually a letter, that can stand for different things.

Numerical Expressions
VIDEO, Brief Review, Multiplication Expressions VIDEO: Brief Review, Video 15 VIDEO: Brief Review: Multiplication Expressions

What Is a Variable?

A variable is a symbol, usually a letter, that can stand for different things.

Numerical Expressions
VIDEO: Brief Review: Division Expressions VIDEO: Brief Review, Video 16 VIDEO: Brief Review: Division Expressions

What Is a Variable?

A variable is a symbol, usually a letter, that can stand for different things.

Numerical Expressions
VIDEO, Brief Review, Order of Operations VIDEO: Brief Review, Video 17 VIDEO: Brief Review: Order of Operations

Watch the following video on Order of Operations. (The transcript is included.)

Video Transcript

 

A numerical expression includes numbers and operation symbols, addition, subtraction, multiplication, and division.

Because addition is commutative, adding from left to right, or right to left, gives you the same result.

The expressions 2 + 3 and 3 + 2 give the same result. But this isn't the case with all operations.

Subtraction isn't commutative.

Numerical Expressions
VIDEO: Brief Review: Applications of Order of Operations VIDEO: Brief Review, Video 18 VIDEO: Brief Review: Applications of Order of Operations

Watch the following video on Order of Operations. (The transcript is included.)

Video Transcript

 

A numerical expression includes numbers and operation symbols, addition, subtraction, multiplication, and division.

Because addition is commutative, adding from left to right, or right to left, gives you the same result.

The expressions 2 + 3 and 3 + 2 give the same result. But this isn't the case with all operations.

Subtraction isn't commutative.

Numerical Expressions
VIDEO, Brief Review, Examples of Order of Operations VIDEO: Brief Review, Video 19 VIDEO: Brief Review: Examples of Order of Operations

Watch the following video on Order of Operations. (The transcript is included.)

Video Transcript

 

A numerical expression includes numbers and operation symbols, addition, subtraction, multiplication, and division.

Because addition is commutative, adding from left to right, or right to left, gives you the same result.

The expressions 2 + 3 and 3 + 2 give the same result. But this isn't the case with all operations.

Subtraction isn't commutative.

Numerical Expressions
VIDEO, Brief Review, What Is a Variable? VIDEO: Brief Review, Video 20 VIDEO: Brief Review: What Is a Variable?

What Is a Variable?

A variable is a symbol, usually a letter, that can stand for different things.

Numerical and Algebraic Expressions
VIDEO, Brief Review, Representing a Variable Algebraically VIDEO: Brief Review, Video 21 VIDEO: Brief Review: Representing a Variable Algebraically

What Is a Variable?

A variable is a symbol, usually a letter, that can stand for different things.

Numerical and Algebraic Expressions
VIDEO, Brief Review, Representing Variables Using Algebra Tiles VIDEO: Brief Review, Video 22 VIDEO: Brief Review: Representing Variables Using Algebra Tiles

In this Brief Review, we look at how to represent variables with algebra tiles.

Numerical and Algebraic Expressions
VIDEO, Brief Review, What Is a Variable Expression? VIDEO: Brief Review, Video 23 VIDEO: Brief Review: What Is a Variable Expression?

What Is a Variable?

A variable is a symbol, usually a letter, that can stand for different things.

Numerical and Algebraic Expressions
VIDEO: Brief Review: Evaluating Variable Expressions VIDEO: Brief Review, Video 24 VIDEO: Brief Review: Evaluating Variable Expressions

What Is a Variable?

A variable is a symbol, usually a letter, that can stand for different things.

Numerical and Algebraic Expressions
VIDEO, Brief Review, Simplifying Variable Expressions with Algebra Tiles VIDEO: Brief Review, Video 25 VIDEO: Brief Review: Simplifying Variable Expressions with Algebra Tiles

In this Brief Review, we explore simplifying variable expressions using algebra tiles.

Numerical and Algebraic Expressions
VIDEO: Brief Review: Applications of Variable Expressions VIDEO: Brief Review, Video 26 VIDEO: Brief Review: Applications of Variable Expressions

What Is a Variable?

A variable is a symbol, usually a letter, that can stand for different things.

Numerical and Algebraic Expressions
WorksheetThumbnail.jpg Worksheet: Crossword Puzzle--Slope Intercept Form Worksheet | Crossword Puzzle | Slope-Intercept Form

This is part of a collection of math worksheets that are crossword puzzles of math vocabulary.

—CLICK PREVIEW TO SEE THE PUZZLE— To see the complete collection of crossword puzzles, click on this link.

The following section provides background on functions and linear functions.

Slope-Intercept Form
Worksheet: Desmos Activity: Linear Equations in Point-Slope Form Worksheet: Desmos Activity: Linear Equations in Point-Slope Form Worksheet: Desmos Activity: Linear Equations in Point-Slope Form

This is part of a collection of math worksheets that are companions to interactive Desmos activities.

To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file.

Related Resources

To see additional resources on this topic, click on the Related Resources tab.

Worksheet Library

To see the complete collection of Worksheets, click on this link.
Point-Slope Form
Worksheet: Desmos Activity: Linear Equations in Standard Form Worksheet: Desmos Activity: Linear Equations in Standard Form Worksheet: Desmos Activity: Linear Equations in Standard Form

This is part of a collection of math worksheets that are companions to interactive Desmos activities.

To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file.

Related Resources

To see additional resources on this topic, click on the Related Resources tab.

Worksheet Library

To see the complete collection of Worksheets, click on this link.
Standard Form