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Illustrative Math-Media4Math Alignment

 

 

Illustrative Math Alignment: Grade 8 Unit 3

Linear Relationships

Lesson 13: More Solutions to Linear Equations

Use the following Media4Math resources with this Illustrative Math lesson.

Thumbnail Image Title Body Curriculum Topic
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
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 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: Algebra Applications: Systems of Equations, Segment 1: Profit and Loss VIDEO: Algebra Applications: Systems of Equations, 1 VIDEO: Algebra Applications: Systems of Equations, Segment 1: Profit and Loss

Profit and loss are the key measures in a business. A system of equations that includes an equation for income and one for expenses can be used to determine profit and loss. Students solve a system graphically.

This is part of a collection of videos from the Algebra Applications video series on the topic of Systems of Equations.

Applications of Linear Systems and Solving Systems of Equations
VIDEO: Algebra Applications: Systems of Equations, Segment 2: Encryption VIDEO: Algebra Applications: Systems of Equations, 2 VIDEO: Algebra Applications: Systems of Equations, Segment 2: Encryption

Secret codes and encryption are ideal examples of a system of equations. In this activity, students encrypt and decrypt a message.

This is part of a collection of videos from the Algebra Applications video series on the topic of Systems of Equations.

Applications of Linear Systems and Solving Systems of Equations
VIDEO: Algebra Applications: Systems of Equations, Segment 3: Ballistic Missiles VIDEO: Algebra Applications: Systems of Equations, 3 VIDEO: Algebra Applications: Systems of Equations, Segment 3: Ballistic Missiles

A ballistic missile shield allows you to shoot incoming missiles out of the sky. Mathematically, this is an example of a linear-quadratic system. Students graph such a system and find the points of intersection between a line and a parabola.

This is part of a collection of videos from the Algebra Applications video series on the topic of Systems of Equations.

Applications of Linear Systems and Solving Systems of Equations
VIDEO: Algebra Nspirations: Solving Systems of Equations, Segment 1 VIDEO: Algebra Nspirations: Solving Systems of Equations, 1 VIDEO: Algebra Nspirations: Solving Systems of Equations, Segment 1

In this Investigation we solve a linear system. This video is Segment 1 of a 4 segment series related to Algebra Nspirations: Solving Systems of Equations.

Applications of Linear Systems and Solving Systems of Equations
VIDEO: Algebra Nspirations: Solving Systems of Equations, Segment 2 VIDEO: Algebra Nspirations: Solving Systems of Equations, 2 VIDEO: Algebra Nspirations: Solving Systems of Equations, Segment 2

In this Math Lab, we explore the break-even point for a business. This video is Segment 2 of a 4 segment series related to Algebra Nspirations: Solving Systems of Equations.

Applications of Linear Systems and Solving Systems of Equations
VIDEO: Algebra Nspirations: Solving Systems of Equations, Segment 3 VIDEO: Algebra Nspirations: Solving Systems of Equations, 3 VIDEO: Algebra Nspirations: Solving Systems of Equations, Segment 3

In this Investigation we use matrices and the elimination method to solve a linear system. This video is Segment 3 of a 4 segment series related to Algebra Nspirations: Solving Systems of Equations.

Applications of Linear Systems and Solving Systems of Equations
VIDEO: Algebra Nspirations: Solving Systems of Equations, Segment 4 VIDEO: Algebra Nspirations: Solving Systems of Equations, 4 VIDEO: Algebra Nspirations: Solving Systems of Equations, Segment 4

In this Math Lab we explore the graphical solution of a nonlinear system. This video is Segment 4 of a 4 segment series related to Algebra Nspirations: Solving Systems of Equations.

Applications of Linear Systems and Solving Systems of Equations
VIDEO: TI-Nspire Mini-Tutorial: (CAS) Solving a System of Two Linear Equations VIDEO: Ti-Nspire Mini-Tutorial, Video 32 VIDEO: TI-Nspire Mini-Tutorial: (CAS) Solving a System of Two Linear Equations

In this TI Nspire tutorial for the TI-Nspire CAS, the Calculator Window is used to solve a linear system. This video supports the TI-Nspire Clickpad and Touchpad.

Solving Systems of Equations
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 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
Worksheet: Solving Linear Systems, Set 02 Worksheet: Solving Linear Systems, Set 02 Worksheet: Solving Linear Systems, Set 02

This is part of a collection of math worksheets on the topic of solving linear systems.

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.
Solving Systems of Equations
Worksheet: Solving Linear Systems, Set 03 Worksheet: Solving Linear Systems, Set 03 Worksheet: Solving Linear Systems, Set 03

This is part of a collection of math worksheets on the topic of solving linear systems.

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.
Solving Systems of Equations
Worksheet: Solving Linear Systems, Set 04 Worksheet: Solving Linear Systems, Set 04 Worksheet: Solving Linear Systems, Set 04

This is part of a collection of math worksheets on the topic of solving linear systems.

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.
Solving Systems of Equations
Worksheet: Solving Linear Systems-Set 01 Worksheet: Solving Linear Systems-Set 01 Worksheet: Solving Linear Systems-Set 01

This is part of a collection of math worksheets on the topic of solving linear systems.

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.
Solving Systems of Equations
Worksheet: TI-Nspire Mini-Tutorial: (CAS) Solving a System of Two Linear Equations Worksheet: TI-Nspire Mini-Tutorial: (CAS) Solving a System of Two Linear Equations Worksheet: TI-Nspire Mini-Tutorial: (CAS) Solving a System of Two Linear Equations

This is part of a collection of math worksheets on the use of the TI-Nspire graphing calculator. Each worksheet supports a companion TI-Nspire Mini-Tutorial video. It provides all the keystrokes for the activity.

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.
Solving Systems of Equations
Worksheet: TI-Nspire Mini-Tutorial: Creating a Slope Formula Template Worksheet: TI-Nspire Mini-Tutorial: Creating a Slope Formula Template Worksheet: TI-Nspire Mini-Tutorial: Creating a Slope Formula Template

This is part of a collection of math worksheets on the use of the TI-Nspire graphing calculator. Each worksheet supports a companion TI-Nspire Mini-Tutorial video. It provides all the keystrokes for the activity.

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.
Slope
Worksheet: TI-Nspire Mini-Tutorial: Creating a Slope Formula Template Worksheet: TI-Nspire Mini-Tutorial: Creating a Slope Formula Template Worksheet: TI-Nspire Mini-Tutorial: Creating a Slope Formula Template

This is part of a collection of math worksheets on the use of the TI-Nspire graphing calculator. Each worksheet supports a companion TI-Nspire Mini-Tutorial video. It provides all the keystrokes for the activity.

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.
Slope