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Illustrative Math-Media4Math Alignment

 

 

Illustrative Math Alignment: Grade 8 Unit 3

Linear Relationships

Lesson 14: Using Linear Relations to Solve Problems

Use the following Media4Math resources with this Illustrative Math lesson.

Thumbnail Image Title Body Curriculum Topic
Video Transcript: Slope Formula: Positive Slope, Coordinates in Quadrant IV Video Transcript: Slope Formula: Positive Slope, Coordinates in Quadrant IV Video Transcript: Slope Formula: Positive Slope, Coordinates in Quadrant IV

This is the transcript that goes with the video segment entitled Video Tutorial: Slope Formula: Positive Slope, Coordinates in Quadrant IV.

This is part of a collection of video transcripts for the video tutorial series on the Slope Formula. To see the complete collection of transcripts, click on this link. Note: The download is a PDF file. Video Transcript Library

To see the complete collection of video transcriptsy, click on this link.

Slope
Video Transcript: Slope Formula: Positive Slope, Coordinates in Quadrants I and II Video Transcript: Slope Formula: Positive Slope, Coordinates in Quadrants I and II Video Transcript: Slope Formula: Positive Slope, Coordinates in Quadrants I and II

This is the transcript that goes with the video segment entitled Video: Slope Formula: Positive Slope, Coordinates in Quadrants I and II.

This is part of a collection of video transcripts for the video tutorial series on the Slope Formula. To see the complete collection of transcripts, click on this link. Note: The download is a PDF file. Video Transcript Library

To see the complete collection of video transcriptsy, click on this link.

Slope
Video Transcript: Slope Formula: Positive Slope, Coordinates in Quadrants III and IV Video Transcript: Slope Formula: Positive Slope, Coordinates in Quadrants III and IV Video Transcript: Slope Formula: Positive Slope, Coordinates in Quadrants III and IV

This is the transcript that goes with the video segment entitled Video Tutorial: Slope Formula: Positive Slope, Coordinates in Quadrants III and IV.

This is part of a collection of video transcripts for the video tutorial series on the Slope Formula. To see the complete collection of transcripts, click on this link. Note: The download is a PDF file. Video Transcript Library

To see the complete collection of video transcriptsy, click on this link.

Slope
Video Transcript: TI-Nspire Mini-Tutorial: (CAS) Solving a System of Two Linear Equations Video Transcript: TI-Nspire Mini-Tutorial: (CAS) Solving a System of Two Linear Equations Video Transcript: TI-Nspire Mini-Tutorial: (CAS) Solving a System of Two Linear Equations

This is the transcript for the TI-Nspire Mini-Tutorial entitled, Solving a System of Two Linear Equations.

This is part of a collection of video transcripts for the video tutorial series on using the TI-Nspire Graphing Calculator. To see the complete collection of transcripts, click on this link. Note: The download is a PDF file. Video Transcript Library

To see the complete collection of video transcriptsy, click on this link.

Solving Systems of Equations
Direct Variation Video Tutorial: Direct Variation Video Tutorial: Direct Variation

Learn the basics of direct variations. Graphical and algebraic representations of direct variations are shown, as well as examples of such functions.

Slope-Intercept Form
VideoTutorial--LinearFunctions1.jpg Video Tutorial: Linear Functions, Video 1 Video Tutorial: Linear Functions: Positive Slope, Positive 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--LinearFunctions2.jpg Video Tutorial: Linear Functions, Video 2 Video Tutorial: Linear Functions: Positive Slope, Negative 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--LinearFunctions3.jpg Video Tutorial: Linear Functions, Video 3 Video Tutorial: Linear Functions: Positive 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--LinearFunctions4.jpg Video Tutorial: Linear Functions, Video 4 Video Tutorial: Linear Functions: Negative Slope, Positive 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--LinearFunctions5.jpg Video Tutorial: Linear Functions, Video 5 Video Tutorial: Linear Functions: Negative Slope, Negative 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--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
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: The Point-Slope Form: Example 1 Video Tutorial: The Point-Slope Form: Example 1

This is part of a collection of video tutorials on using the point-slope form to find the equation of a line that passes through a given point. 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.

Point-Slope Form
Video Tutorial: The Point-Slope Form: Example 2 Video Tutorial: The Point-Slope Form: Example 2

This is part of a collection of video tutorials on using the point-slope form to find the equation of a line that passes through a given point. 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.

Point-Slope Form
Video Tutorial: The Point-Slope Form: Example 3 Video Tutorial: The Point-Slope Form: Example 3

This is part of a collection of video tutorials on using the point-slope form to find the equation of a line that passes through a given point. 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.

Point-Slope Form
Video Tutorial: The Point-Slope Form: Example 4 Video Tutorial: The Point-Slope Form: Example 4

This is part of a collection of video tutorials on using the point-slope form to find the equation of a line that passes through a given point. 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.

Point-Slope Form
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: Linear Functions, Segment 2: Cycling VIDEO: Algebra Applications: Linear Functions, Segment 2: Cycling VIDEO: Algebra Applications: Linear Functions, Segment 2: Cycling

Linear Expressions, Equations, and Functions

Linear Expressions
Special Functions and Applications of Linear Functions
VIDEO: Algebra Applications: Linear Functions VIDEO: Algebra Applications: Linear Functions VIDEO: Algebra Applications: Linear Functions

Linear Expressions, Equations, and Functions

Linear Expressions
Special Functions and Applications of Linear Functions
VIDEO: Algebra Applications: Linear Functions, Segment 1: Introduction. VIDEO: Algebra Applications: Linear Functions, 1 VIDEO: Algebra Applications: Linear Functions, Segment 1: Introduction.

Linear Expressions, Equations, and Functions

Linear Expressions
Special Functions and Applications of Linear Functions
VIDEO: Algebra Applications: Linear Functions, Segment 3: Oil Exploration. VIDEO: Algebra Applications: Linear Functions, 3 VIDEO: Algebra Applications: Linear Functions, Segment 3: Oil Exploration.

Linear Expressions, Equations, and Functions

Linear Expressions
Special Functions and Applications of Linear Functions
VIDEO: Algebra Applications: Linear Functions, Segment 4: Exercise. VIDEO: Algebra Applications: Linear Functions, 4 VIDEO: Algebra Applications: Linear Functions, Segment 4: Exercise.

Linear Expressions, Equations, and Functions

Linear Expressions
Special Functions and Applications of Linear Functions
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: Functions and Relations, Segment 1 VIDEO: Algebra Nspirations: Functions and Relations, 1 VIDEO: Algebra Nspirations: Functions and Relations, Segment 1

In this Investigation we explore the definition of a Relation. This video is Segment 1 of a 4 segment series related to Functions and Relations.

Applications of Functions and Relations and Relations and Functions
VIDEO: Algebra Nspirations: Functions and Relations, Segment 2 VIDEO: Algebra Nspirations: Functions and Relations, 2 VIDEO: Algebra Nspirations: Functions and Relations, Segment 2

In this Math Lab we look at different mappings to define functions and relations. This video is Segment 2 of a 4 segment series related to Functions and Relations.

Applications of Functions and Relations, Conic Sections and Relations and Functions
VIDEO: Algebra Nspirations: Functions and Relations, Segment 3 VIDEO: Algebra Nspirations: Functions and Relations, 3 VIDEO: Algebra Nspirations: Functions and Relations, Segment 3

In this Investigation we look at functions. This video is Segment 3 of a 4 segment series related to Functions and Relations.

Applications of Functions and Relations, Relations and Functions and Geometric Constructions with Circles
VIDEO: Algebra Nspirations: Functions and Relations, Segment 4 VIDEO: Algebra Nspirations: Functions and Relations, 4 VIDEO: Algebra Nspirations: Functions and Relations, Segment 4

In this Math Lab a hands-on toothpick activity is used to generate a non-linear function. This video is Segment 4 of a 4 segment series related to Functions and Relations.

Applications of Functions and Relations, Conic Sections and Relations and Functions
VIDEO: Algebra Nspirations: Linear Functions, Segment 1 VIDEO: Algebra Nspirations: Linear Functions, 1 VIDEO: Algebra Nspirations: Linear Functions, Segment 1

In this Investigation we look at linear models for objects moving at a constant speed. This video is Segment 1 of a 4 segment series related to Algebra Nspirations: Linear Functions.

Applications of Linear Functions
VIDEO: Algebra Nspirations: Linear Functions, Segment 2 VIDEO: Algebra Nspirations: Linear Functions, 2 VIDEO: Algebra Nspirations: Linear Functions, Segment 2

In this Math Lab we explore slope in the context of the steepness of staircases. This video is Segment 2 of a 4 segment series related to Algebra Nspirations: Linear Functions.

Applications of Linear Functions
VIDEO: Algebra Nspirations: Linear Functions, Segment 3 VIDEO: Algebra Nspirations: Linear Functions, 3 VIDEO: Algebra Nspirations: Linear Functions, Segment 3

In this Investigation we look at a linear regression for carbon dioxide emission data. This video is Segment 3 of a 4 segment series related to Algebra Nspirations: Linear Functions.

Applications of Linear Functions