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Illustrative Math-Media4Math Alignment

 

 

Illustrative Math Alignment: Grade 8 Unit 3

Linear Relationships

Lesson 4: Comparing Proportional Relationships

Use the following Media4Math resources with this Illustrative Math lesson.

Thumbnail Image Title Body Curriculum Topic
Collections in a Box Collections in a Box: Slope Formula

This cheat sheet gathers together a number of resources on the topic of the slope formula. See the descriptions and links below. Each link takes you to a collection of resources around that topic. The middle column indicates the number of resources available and the third column takes you to page on Media4Math where those resources can be found.

Subscribers can download the PDF version of this cheat sheet.

Click Preview to see the HTML version.
Point-Slope Form, Slope and Slope-Intercept Form
Definition--Direct-Variation.jpg Definition--Direct Variation Direct Variation

 

 

Topic

Linear Functions

Definition

Direct variation describes a linear relationship between two variables where one variable is a constant multiple of the other, expressed as y = kx, where k is the constant of variation.

Description

Direct variation is a fundamental concept in linear functions, illustrating how one variable changes proportionally with another. The constant of variation, 𝑘 k, represents the rate of change.

In real-world scenarios, direct variation can model relationships such as speed and distance, where distance traveled varies directly with time at a constant speed. Understanding this concept is crucial in fields like physics and engineering.

Applications of Linear Functions
Desmos Activity: Exploring the Slope Formula Desmos Activity: Exploring the Slope Formula Desmos Activity: Exploring the Slope Formula Click on this link to see the complete collection of Desmos resources.

Use a custom Desmos graphing calculator activity to explore the slope formula. The Desmos activity includes the slope formula equation. Students input the values for the two coordinates. They can also use the provided sliders to input the values. The Desmos interactive will calculate the slope of the line connecting the two points, as well as the graph of the line itself. There is a companion worksheet for this activity, which subscribers can download. The worksheet is a PDF file.

Slope
Desmos Activity: Exploring the Slope Formula Desmos Activity: Exploring the Slope Formula Desmos Activity: Exploring the Slope Formula Click on this link to see the complete collection of Desmos resources.

Use a custom Desmos graphing calculator activity to explore the slope formula. The Desmos activity includes the slope formula equation. Students input the values for the two coordinates. They can also use the provided sliders to input the values. The Desmos interactive will calculate the slope of the line connecting the two points, as well as the graph of the line itself. There is a companion worksheet for this activity, which subscribers can download. The worksheet is a PDF file.

Slope
Desmos Activity: Exploring the Slope Formula Desmos Activity: Exploring the Slope Formula Desmos Activity: Exploring the Slope Formula Click on this link to see the complete collection of Desmos resources.

Use a custom Desmos graphing calculator activity to explore the slope formula. The Desmos activity includes the slope formula equation. Students input the values for the two coordinates. They can also use the provided sliders to input the values. The Desmos interactive will calculate the slope of the line connecting the two points, as well as the graph of the line itself. There is a companion worksheet for this activity, which subscribers can download. The worksheet is a PDF file.

Slope
Desmos Activity: Exploring the Slope Formula Desmos Activity: Exploring the Slope Formula Desmos Activity: Exploring the Slope Formula Click on this link to see the complete collection of Desmos resources.

Use a custom Desmos graphing calculator activity to explore the slope formula. The Desmos activity includes the slope formula equation. Students input the values for the two coordinates. They can also use the provided sliders to input the values. The Desmos interactive will calculate the slope of the line connecting the two points, as well as the graph of the line itself. There is a companion worksheet for this activity, which subscribers can download. The worksheet is a PDF file.

Slope
Desmos Activity: Exploring the Slope Formula Desmos Activity: Exploring the Slope Formula Desmos Activity: Exploring the Slope Formula Click on this link to see the complete collection of Desmos resources.

Use a custom Desmos graphing calculator activity to explore the slope formula. The Desmos activity includes the slope formula equation. Students input the values for the two coordinates. They can also use the provided sliders to input the values. The Desmos interactive will calculate the slope of the line connecting the two points, as well as the graph of the line itself. There is a companion worksheet for this activity, which subscribers can download. The worksheet is a PDF file.

Slope
INSTRUCTIONAL RESOURCE: Algebra Application: Linear Functions: Circumference vs. Diameter INSTRUCTIONAL RESOURCE: Algebra Application: Linear Functions: Circumference vs. Diameter INSTRUCTIONAL RESOURCE: Algebra Application: Linear Functions: Circumference vs. Diameter

In this Algebra Application, students study the direction between diameter and circumference of a circle. Through measurement and data gathering students analyze the line of best fit and explore ways of calculating pi. The math topics covered include: Mathematical modeling, Linear functions, Data gathering and analysis, Ratios, Direct variation. This is a great back-to-school activity for middle school or high school students. This is also a great crossover activity that ties algebra and geometry.

Applications of Linear Functions, Applications of Ratios, Proportions, and Percents and Applications of Circles
INSTRUCTIONAL RESOURCE: Algebra Application: Linear Functions: Circumference vs. Diameter INSTRUCTIONAL RESOURCE: Algebra Application: Linear Functions: Circumference vs. Diameter INSTRUCTIONAL RESOURCE: Algebra Application: Linear Functions: Circumference vs. Diameter

In this Algebra Application, students study the direction between diameter and circumference of a circle. Through measurement and data gathering students analyze the line of best fit and explore ways of calculating pi. The math topics covered include: Mathematical modeling, Linear functions, Data gathering and analysis, Ratios, Direct variation. This is a great back-to-school activity for middle school or high school students. This is also a great crossover activity that ties algebra and geometry.

Applications of Linear Functions, Applications of Ratios, Proportions, and Percents and Applications of Circles
INSTRUCTIONAL RESOURCE: Algebra Application: Linear Functions: Circumference vs. Diameter INSTRUCTIONAL RESOURCE: Algebra Application: Linear Functions: Circumference vs. Diameter INSTRUCTIONAL RESOURCE: Algebra Application: Linear Functions: Circumference vs. Diameter

In this Algebra Application, students study the direction between diameter and circumference of a circle. Through measurement and data gathering students analyze the line of best fit and explore ways of calculating pi. The math topics covered include: Mathematical modeling, Linear functions, Data gathering and analysis, Ratios, Direct variation. This is a great back-to-school activity for middle school or high school students. This is also a great crossover activity that ties algebra and geometry.

Applications of Linear Functions, Applications of Ratios, Proportions, and Percents and Applications of Circles
INSTRUCTIONAL RESOURCE: Algebra Application: Linear Functions: Circumference vs. Diameter INSTRUCTIONAL RESOURCE: Algebra Application: Linear Functions: Circumference vs. Diameter INSTRUCTIONAL RESOURCE: Algebra Application: Linear Functions: Circumference vs. Diameter

In this Algebra Application, students study the direction between diameter and circumference of a circle. Through measurement and data gathering students analyze the line of best fit and explore ways of calculating pi. The math topics covered include: Mathematical modeling, Linear functions, Data gathering and analysis, Ratios, Direct variation. This is a great back-to-school activity for middle school or high school students. This is also a great crossover activity that ties algebra and geometry.

Applications of Linear Functions, Applications of Ratios, Proportions, and Percents and Applications of Circles
PowerPointPresentations.jpg Instructional Resource: Applications of Linear Functions: Circumference vs. Diameter

In this Slide Show, apply concepts of linear functions to the context of circumference vs. diameter.

Note: The download is a PPT file.

Related Resources

To see the complete collection of Tutorials on this topic, click on this link: https://bit.ly/3g0P3cN
Applications of Linear Functions
PowerPointPresentations.jpg Instructional Resource: Applications of Linear Functions: Circumference vs. Diameter

In this Slide Show, apply concepts of linear functions to the context of circumference vs. diameter.

Note: The download is a PPT file.

Related Resources

To see the complete collection of Tutorials on this topic, click on this link: https://bit.ly/3g0P3cN
Applications of Linear Functions
PowerPointPresentations.jpg Instructional Resource: Applications of Linear Functions: Circumference vs. Diameter

In this Slide Show, apply concepts of linear functions to the context of circumference vs. diameter.

Note: The download is a PPT file.

Related Resources

To see the complete collection of Tutorials on this topic, click on this link: https://bit.ly/3g0P3cN
Applications of Linear Functions
PowerPointPresentations.jpg Instructional Resource: Applications of Linear Functions: Circumference vs. Diameter

In this Slide Show, apply concepts of linear functions to the context of circumference vs. diameter.

Note: The download is a PPT file.

Related Resources

To see the complete collection of Tutorials on this topic, click on this link: https://bit.ly/3g0P3cN
Applications of Linear Functions
PowerPointPresentations.jpg Instructional Resource: Applications of Linear Functions: Circumference vs. Diameter

In this Slide Show, apply concepts of linear functions to the context of circumference vs. diameter.

Note: The download is a PPT file.

Related Resources

To see the complete collection of Tutorials on this topic, click on this link: https://bit.ly/3g0P3cN
Applications of Linear Functions
PowerPointPresentations.jpg Instructional Resource: Applications of Linear Functions: Circumference vs. Diameter

In this Slide Show, apply concepts of linear functions to the context of circumference vs. diameter.

Note: The download is a PPT file.

Related Resources

To see the complete collection of Tutorials on this topic, click on this link: https://bit.ly/3g0P3cN
Applications of Linear Functions
PowerPointPresentations.jpg Instructional Resource: Applications of Linear Functions: Circumference vs. Diameter

In this Slide Show, apply concepts of linear functions to the context of circumference vs. diameter.

Note: The download is a PPT file.

Related Resources

To see the complete collection of Tutorials on this topic, click on this link: https://bit.ly/3g0P3cN
Applications of Linear Functions
PowerPointPresentations.jpg Instructional Resource: Applications of Linear Functions: Circumference vs. Diameter

In this Slide Show, apply concepts of linear functions to the context of circumference vs. diameter.

Note: The download is a PPT file.

Related Resources

To see the complete collection of Tutorials on this topic, click on this link: https://bit.ly/3g0P3cN
Applications of Linear Functions
PowerPointPresentations.jpg Instructional Resource: Applications of Linear Functions: Circumference vs. Diameter

In this Slide Show, apply concepts of linear functions to the context of circumference vs. diameter.

Note: The download is a PPT file.

Related Resources

To see the complete collection of Tutorials on this topic, click on this link: https://bit.ly/3g0P3cN
Applications of Linear Functions
PowerPointPresentations.jpg Instructional Resource: Applications of Linear Functions: Cost vs. Time

In this Slide Show, apply concepts of linear functions to the context of cost vs. time data and graphs.

Note: The download is a PPT file.

Related Resources

To see the complete collection of Tutorials on this topic, click on this link: https://bit.ly/3g0P3cN
Applications of Linear Functions
PowerPointPresentations.jpg Instructional Resource: Applications of Linear Functions: Cost vs. Time

In this Slide Show, apply concepts of linear functions to the context of cost vs. time data and graphs.

Note: The download is a PPT file.

Related Resources

To see the complete collection of Tutorials on this topic, click on this link: https://bit.ly/3g0P3cN
Applications of Linear Functions
PowerPointPresentations.jpg Instructional Resource: Applications of Linear Functions: Cost vs. Time

In this Slide Show, apply concepts of linear functions to the context of cost vs. time data and graphs.

Note: The download is a PPT file.

Related Resources

To see the complete collection of Tutorials on this topic, click on this link: https://bit.ly/3g0P3cN
Applications of Linear Functions
PowerPointPresentations.jpg Instructional Resource: Applications of Linear Functions: Cost vs. Time

In this Slide Show, apply concepts of linear functions to the context of cost vs. time data and graphs.

Note: The download is a PPT file.

Related Resources

To see the complete collection of Tutorials on this topic, click on this link: https://bit.ly/3g0P3cN
Applications of Linear Functions
PowerPointPresentations.jpg Instructional Resource: Applications of Linear Functions: Cost vs. Time

In this Slide Show, apply concepts of linear functions to the context of cost vs. time data and graphs.

Note: The download is a PPT file.

Related Resources

To see the complete collection of Tutorials on this topic, click on this link: https://bit.ly/3g0P3cN
Applications of Linear Functions
PowerPointPresentations.jpg Instructional Resource: Applications of Linear Functions: Cost vs. Time

In this Slide Show, apply concepts of linear functions to the context of cost vs. time data and graphs.

Note: The download is a PPT file.

Related Resources

To see the complete collection of Tutorials on this topic, click on this link: https://bit.ly/3g0P3cN
Applications of Linear Functions
PowerPointPresentations.jpg Instructional Resource: Applications of Linear Functions: Cost vs. Time

In this Slide Show, apply concepts of linear functions to the context of cost vs. time data and graphs.

Note: The download is a PPT file.

Related Resources

To see the complete collection of Tutorials on this topic, click on this link: https://bit.ly/3g0P3cN
Applications of Linear Functions
PowerPointPresentations.jpg Instructional Resource: Applications of Linear Functions: Cost vs. Time

In this Slide Show, apply concepts of linear functions to the context of cost vs. time data and graphs.

Note: The download is a PPT file.

Related Resources

To see the complete collection of Tutorials on this topic, click on this link: https://bit.ly/3g0P3cN
Applications of Linear Functions
PowerPointPresentations.jpg Instructional Resource: Applications of Linear Functions: Cost vs. Time

In this Slide Show, apply concepts of linear functions to the context of cost vs. time data and graphs.

Note: The download is a PPT file.

Related Resources

To see the complete collection of Tutorials on this topic, click on this link: https://bit.ly/3g0P3cN
Applications of Linear Functions
PowerPointPresentations.jpg Instructional Resource: Applications of Linear Functions: Hooke's Law

In this Slide Show, apply concepts of linear functions to the context of Hooke's law.

Note: The download is a PPT file.

Related Resources

To see the complete collection of Tutorials on this topic, click on this link: https://bit.ly/3g0P3cN
Applications of Linear Functions and Proportions
PowerPointPresentations.jpg Instructional Resource: Applications of Linear Functions: Hooke's Law

In this Slide Show, apply concepts of linear functions to the context of Hooke's law.

Note: The download is a PPT file.

Related Resources

To see the complete collection of Tutorials on this topic, click on this link: https://bit.ly/3g0P3cN
Applications of Linear Functions and Proportions
PowerPointPresentations.jpg Instructional Resource: Applications of Linear Functions: Hooke's Law

In this Slide Show, apply concepts of linear functions to the context of Hooke's law.

Note: The download is a PPT file.

Related Resources

To see the complete collection of Tutorials on this topic, click on this link: https://bit.ly/3g0P3cN
Applications of Linear Functions and Proportions
PowerPointPresentations.jpg Instructional Resource: Applications of Linear Functions: Hooke's Law

In this Slide Show, apply concepts of linear functions to the context of Hooke's law.

Note: The download is a PPT file.

Related Resources

To see the complete collection of Tutorials on this topic, click on this link: https://bit.ly/3g0P3cN
Applications of Linear Functions and Proportions
PowerPointPresentations.jpg Instructional Resource: Applications of Linear Functions: Hooke's Law

In this Slide Show, apply concepts of linear functions to the context of Hooke's law.

Note: The download is a PPT file.

Related Resources

To see the complete collection of Tutorials on this topic, click on this link: https://bit.ly/3g0P3cN
Applications of Linear Functions and Proportions
PowerPointPresentations.jpg Instructional Resource: Applications of Linear Functions: Hooke's Law

In this Slide Show, apply concepts of linear functions to the context of Hooke's law.

Note: The download is a PPT file.

Related Resources

To see the complete collection of Tutorials on this topic, click on this link: https://bit.ly/3g0P3cN
Applications of Linear Functions and Proportions
PowerPointPresentations.jpg Instructional Resource: Applications of Linear Functions: Hooke's Law

In this Slide Show, apply concepts of linear functions to the context of Hooke's law.

Note: The download is a PPT file.

Related Resources

To see the complete collection of Tutorials on this topic, click on this link: https://bit.ly/3g0P3cN
Applications of Linear Functions and Proportions
PowerPointPresentations.jpg Instructional Resource: Applications of Linear Functions: Hooke's Law

In this Slide Show, apply concepts of linear functions to the context of Hooke's law.

Note: The download is a PPT file.

Related Resources

To see the complete collection of Tutorials on this topic, click on this link: https://bit.ly/3g0P3cN
Applications of Linear Functions and Proportions
PowerPointPresentations.jpg Instructional Resource: Applications of Linear Functions: Hooke's Law

In this Slide Show, apply concepts of linear functions to the context of Hooke's law.

Note: The download is a PPT file.

Related Resources

To see the complete collection of Tutorials on this topic, click on this link: https://bit.ly/3g0P3cN
Applications of Linear Functions and Proportions
INSTRUCTIONAL RESOURCE: Tutorial: Linear Equations in Standard Form INSTRUCTIONAL RESOURCE: Tutorial: Linear Equations in Standard Form INSTRUCTIONAL RESOURCE: Tutorial: Linear Equations in Standard Form

In this Slide Show, learn how to convert from linear equations in standard form to slope intercept form.

This is part of a collection of tutorials on a variety of math topics. To see the complete collection of these resources, click on this link. Note: The download is a PPT file.

Library of Instructional Resources

To see the complete library of Instructional Resources , click on this link.

Standard Form
INSTRUCTIONAL RESOURCE: Tutorial: Linear Equations in Standard Form INSTRUCTIONAL RESOURCE: Tutorial: Linear Equations in Standard Form INSTRUCTIONAL RESOURCE: Tutorial: Linear Equations in Standard Form

In this Slide Show, learn how to convert from linear equations in standard form to slope intercept form.

This is part of a collection of tutorials on a variety of math topics. To see the complete collection of these resources, click on this link. Note: The download is a PPT file.

Library of Instructional Resources

To see the complete library of Instructional Resources , click on this link.

Standard Form
INSTRUCTIONAL RESOURCE: Tutorial: Linear Equations in Standard Form INSTRUCTIONAL RESOURCE: Tutorial: Linear Equations in Standard Form INSTRUCTIONAL RESOURCE: Tutorial: Linear Equations in Standard Form

In this Slide Show, learn how to convert from linear equations in standard form to slope intercept form.

This is part of a collection of tutorials on a variety of math topics. To see the complete collection of these resources, click on this link. Note: The download is a PPT file.

Library of Instructional Resources

To see the complete library of Instructional Resources , click on this link.

Standard Form
INSTRUCTIONAL RESOURCE: Nspire App Tutorial: Slope Formula 1 INSTRUCTIONAL RESOURCE: Nspire App Tutorial: Slope Formula 1

In this Slide Show, the Graph Window is used to calculate the slope of the line between two points.

Slope
INSTRUCTIONAL RESOURCE: Nspire App Tutorial: Slope Formula 1 INSTRUCTIONAL RESOURCE: Nspire App Tutorial: Slope Formula 1

In this Slide Show, the Graph Window is used to calculate the slope of the line between two points.

Slope
INSTRUCTIONAL RESOURCE: Nspire App Tutorial: Slope Formula 1 INSTRUCTIONAL RESOURCE: Nspire App Tutorial: Slope Formula 1

In this Slide Show, the Graph Window is used to calculate the slope of the line between two points.

Slope
INSTRUCTIONAL RESOURCE: Nspire App Tutorial: Slope Formula 2 INSTRUCTIONAL RESOURCE: Nspire App Tutorial: Slope Formula 2

In this Slide Show, the Graph Window is used to construct two points and a linked formula to calculate the slope. This presentation requires the use of the TI-Nspire iPad App. Note: the download is a PPT.

Slope
INSTRUCTIONAL RESOURCE: Nspire App Tutorial: Slope Formula 2 INSTRUCTIONAL RESOURCE: Nspire App Tutorial: Slope Formula 2

In this Slide Show, the Graph Window is used to construct two points and a linked formula to calculate the slope. This presentation requires the use of the TI-Nspire iPad App. Note: the download is a PPT.

Slope
INSTRUCTIONAL RESOURCE: Nspire App Tutorial: Slope Formula 2 INSTRUCTIONAL RESOURCE: Nspire App Tutorial: Slope Formula 2

In this Slide Show, the Graph Window is used to construct two points and a linked formula to calculate the slope. This presentation requires the use of the TI-Nspire iPad App. Note: the download is a PPT.

Slope
INSTRUCTIONAL RESOURCE: Nspire App Tutorial: Slope Formula 3 INSTRUCTIONAL RESOURCE: Nspire App Tutorial: Slope Formula 3

In this Slide Show, a Slope Formula template is created using the Spreadsheet window. This presentation requires the use of the TI-Nspire iPad App. Note: the download is a PPT.

Slope
INSTRUCTIONAL RESOURCE: Nspire App Tutorial: Slope Formula 3 INSTRUCTIONAL RESOURCE: Nspire App Tutorial: Slope Formula 3

In this Slide Show, a Slope Formula template is created using the Spreadsheet window. This presentation requires the use of the TI-Nspire iPad App. Note: the download is a PPT.

Slope
INSTRUCTIONAL RESOURCE: Nspire App Tutorial: Slope Formula 3 INSTRUCTIONAL RESOURCE: Nspire App Tutorial: Slope Formula 3

In this Slide Show, a Slope Formula template is created using the Spreadsheet window. This presentation requires the use of the TI-Nspire iPad App. Note: the download is a PPT.

Slope