Illustrative Math Alignment: Grade 8 Unit 3

Explore Fahrenheit-vs-Celsius graphs using this Desmos graphing calculator activity. In this activity explore linear functions of the form y = mx + b. There is a companion worksheet for this activity, which subscribers can download. The worksheet is a PDF file. Related Resources

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Explore Cost-vs-Time graphs using this Desmos graphing calculator activity. In this activity explore linear functions of the form y = mx. There is a companion worksheet for this activity, which subscribers can download. The worksheet is a PDF file. Related Resources

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Explore Cost-vs-Time graphs using this Desmos graphing calculator activity. In this activity explore linear functions of the form y = mx + b. There is a companion worksheet for this activity, which subscribers can download. The worksheet is a PDF file. Related Resources

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Explore Cricket Chirps-vs-Temperature graphs using this Desmos graphing calculator activity. In this activity explore linear functions of the form y = mx + b. There is a companion worksheet for this activity, which subscribers can download. The worksheet is a PDF file. Related Resources

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Explore Distance-vs-Time graphs using this Desmos graphing calculator activity. This activity explores linear functions of the form y = mx. There is a companion worksheet for this activity, which subscribers can download. The worksheet is a PDF file.

Related Resources

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Explore Distance-vs-Time graphs using this Desmos graphing calculator activity. This activity explores linear functions of the form y = mx + b. There is a companion worksheet for this activity, which subscribers can download. The worksheet is a PDF file. Related Resources

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

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Explore Hooke's Law using this Desmos graphing calculator activity. In this activity explore linear functions of the form y = mx. There is a companion worksheet for this activity, which subscribers can download. The worksheet is a PDF file. Related Resources To see additional resources on this topic click on the Related Resources tab above. Desmos Collection To see the complete collection of Desmos Resources click on this link.

In this graphing calculator activity, have your students explore linear functions of the form y = mx + b. This Desmos template allows students to explore the effect of changes in the slope (m) and the y-intercept (b) have on the graph of the line. A companion downloadable worksheet uses the graphing calculator template to explore the properties of these linear functions. Note: The download is a PDF worksheet. Related Resources To see additional resources on this topic click on the Related Resources tab above. Desmos Collection To see the complete collection of Desmos Resources click on this link.

In this Algebra Application, students develop a linear mathematical model based on the maximum heart rate during exercise based on age. Using this model, students investigate heart rate for moderate and vigorous workouts. The math topics covered include: Mathematical modeling, Linear functions, Families of functions, Computational thinking. The culminating activity is for students to create a simple program (using either a spreadsheet or a programming language like Python) to develop an exercise chart. This is a great back-to-school activity for middle school or high school students. A relevant real-world application allows them to review math concepts.

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.

This slide show provides 8 examples of quadratic functions in factored form and analyzes their graphs.

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This slide show provides 18 examples of quadratic functions in standard form and analyzes their graphs.

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This slide show provides 8 examples of quadratic functions in vertex form and analyzes their graphs.

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In this Slide Show, use the Desmos graphing calculator to explore linear equations in slope intercept form. To see the complete collection of Desmos Resources click on this link.

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In this Slide Show, use the Desmos graphing calculator to explore linear equations in standard form. To see the complete collection of Desmos Resources click on this link.

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The complete set of 13 examples that make up this set of tutorials.

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This set of tutorials provides 40 examples of absolute value functions in tabular and graph form. NOTE: The download is a PPT file.

In this Slide Show, linear functions are graphed. This presentation requires the use of the TI-Nspire iPad App. Note: the download is a PPT.

In this TI-Nspire Activity, use the Geometry and Graphing Tools to explore the ratio of Circumference to Radius as a linear function. 

Note: The Preview is a Google Slide Show and the download is a PPT. Subscribers to Media4Math can download resources.

This interactive crossword puzzle tests knowledge of key terms on the topic of linear functions.

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Use this Jeopardy-style math game to review linear functions. This Jeopardy game has a bank of hundreds of questions for thousands of unique game experiences. To see the complete set of Math Games and Puzzles, click on this link.

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In this drag-and-drop game, match the coordinates with the equation of the line that crosses these points. This game generates thousands of different equation combinations, offering an ideal opportunity for skill review in a game format.

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In this drag-and-drop game, match f(x) with f(a) for a given value of a. This game generates thousands of different equation combinations, offering an ideal opportunity for skill review in a game format.

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In this drag-and-drop game, match the linear function in slope-intercept form with its description. This game generates thousands of different equation combinations, offering an ideal opportunity for skill review in a game format.

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In this drag-and-drop game, match the linear function in standard form with its slope-intercept counterpart. This game generates thousands of different equation combinations, offering an ideal opportunity for skill review in a game format.

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Use this math game to review linear functions in slope-intercept form.

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Use this math game to review Linear Functions. This is a Memory-style game in which students must remember the location of pairs of identical images.

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Use this math game to review graphs of linear functions in slope-intercept form. Students are shown a "treasure map" coordinate grid and several numbered "gems". Find the right combination of gems to identify the graph of the equation shown and score 50 points; otherwise, lose 20 points.

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Solve an interactive word search puzzle on the topic of Linear Equations and Functions.

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Solve an interactive word search puzzle on the topic of Linear Equations and Functions.

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Solve an interactive word search puzzle on the topic of Linear Equations and Functions.

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Solve an interactive word search puzzle on the topic of Linear Equations and Functions.

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Solve an interactive word search puzzle on the topic of Linear Equations and Functions.

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This is a collection of clip art images that show an application of direction variations in the context of circles.

This is a collection of clip art images that show an application of direction variations in the context of circles.

This is a collection of clip art images that show an application of direction variations in the context of circles.

This is a collection of clip art images that show an application of direction variations in the context of circles.

This is a collection of clip art images that show an application of direction variations in the context of circles.

This is a collection of clip art images that show an application of direction variations in the context of circles.

This is a collection of clip art images that show an application of direction variations in the context of circles.

This is a collection of clip art images that show an application of direction variations in the context of circles.

This is a collection of clip art images that show an application of direction variations in the context of circles.

Topic

Quadratics

Description

This image features a vintage car in motion with a blurred background, emphasizing speed. It serves as an introduction to the series on speed and acceleration in linear and quadratic functions. The image visually represents the concept of speed through motion blur, making it relatable for students learning about linear functions. By using this image, teachers can engage students with real-world applications of mathematical concepts.

Topic

Quadratics

Description

This image depicts a yellow car alongside a table that shows time in seconds and distance in feet, illustrating a constant speed of 88 ft/sec (60 mph). The table provides a clear example of how linear functions can represent constant speeds. Teachers can use this image to demonstrate the relationship between time, distance, and speed, reinforcing the concept of constant rates within linear functions.

Topic

Quadratics

Description

This image is a variation of the previous image that highlights the common difference as the rate of speed. It builds on the previous example by emphasizing how the common difference (88 ft/sec) serves as the rate in linear equations. This visual representation helps students grasp how mathematical differences translate into real-world speeds.

Topic

Quadratics

Description

This image presents a table with time in seconds and distance in feet, accompanied by a graph illustrating a linear relationship between time and distance. The constant increase of 88 feet per second is depicted as the slope of the Distance-vs-Time linear function graph. This visual aids students in understanding how linear functions can model real-world speed scenarios.

Topic

Quadratics

Description

This image is a variation showing time and distance data with a graph that includes a dotted line labeled "Slower speed." The graph illustrates how different speeds affect the steepness of linear function graphs. This visual comparison helps students see how speed variations are represented mathematically.

Using math clip art allows students to visualize differences in speed through graphical representations, aiding comprehension of linear functions' applications.

Topic

Quadratics

Description

This image shows a graph similar to the previous one but with a steeper dotted line labeled "Faster speed." It visually demonstrates how increased speed results in a steeper slope on a linear function graph. This helps students understand the relationship between speed changes and their graphical representations.

The use of math clip art facilitates learning by providing clear visual examples that connect mathematical concepts to real-world scenarios.

Topic

Quadratics

Description

This image displays a table with time and distance data for two functions, f(x) representing constant speed, and g(x) representing changing speed. Two car icons illustrate these concepts visually. This comparison allows students to explore how different types of motion are modeled mathematically.

The use of math clip art aids in understanding complex concepts by providing relatable visual examples that highlight differences in mathematical functions.

Topic

Quadratics

Description

This image presents time-distance data for functions f(x) with constant increments, showing constant speed, while g(x) shows changing speed with a common ratio. The visual representation helps students understand different mathematical relationships through real-world examples.

The use of math clip art enhances comprehension by clearly illustrating abstract concepts like common differences versus common ratios in mathematical functions.