Illustrative Math Alignment: Grade 8 Unit 3

Functions and Volume

Lesson 20: The Volume of a Sphere

Use the following Media4Math resources with this Illustrative Math lesson.

Title	Body	Curriculum Topic
Instructional Resource: Applications of Linear Functions: Momentum and Impulse	In this Slide Show, apply concepts of linear functions to the context of momentum and impulse. 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
Instructional Resource: Applications of Linear Functions: Perimeter of a Rectangle	In this Slide Show, apply concepts of linear functions to the context of rectangular perimeter. 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
Instructional Resource: Applications of Linear Functions: Saving Money	In this Slide Show, apply concepts of linear functions to the context of saving money. 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
Instructional Resource: Applications of Linear Functions: Speed and acceleration	In this Slide Show, apply concepts of linear functions to the context of speed and acceleration. 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
Instructional Resource: Applications of Linear Functions: Temperature Conversion	In this Slide Show, apply concepts of linear functions to the context of converting Celsius and Fahrenheit temperatures. 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
INSTRUCTIONAL RESOURCE: Desmos Tutorial: Linear Functions in Slope Intercept Form	INSTRUCTIONAL RESOURCE: Desmos Tutorial: Linear Functions in Slope Intercept Form 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. Note: The download is a PPT file. This is part of a collection of Desmos tutorials on a variety of math topics. To see the complete collection of these resources, click on this link. Library of Instructional Resources To see the complete library of Instructional Resources , click on this link.	Graphs of Linear Functions and Slope-Intercept Form
INSTRUCTIONAL RESOURCE: Desmos Tutorial: Linear Functions in Standard Form	INSTRUCTIONAL RESOURCE: Desmos Tutorial: Linear Functions in Standard Form 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. Note: The download is a PPT file. This is part of a collection of Desmos tutorials on a variety of math topics. To see the complete collection of these resources, click on this link. Library of Instructional Resources To see the complete library of Instructional Resources , click on this link.	Standard Form
INSTRUCTIONAL RESOURCE: Desmos Tutorial: Matching Coordinates to Absolute Value Functions	INSTRUCTIONAL RESOURCE: Desmos Tutorial: Matching Coordinates to Absolute Value Functions In this Slide Show, use the Desmos graphing calculator to explore absolute value functions. To see the complete collection of Desmos Resources click on this link. Note: The download is a PPT file. This is part of a collection of Desmos tutorials on a variety of math topics. To see the complete collection of these resources, click on this link. Library of Instructional Resources To see the complete library of Instructional Resources , click on this link.	Special Functions
INSTRUCTIONAL RESOURCE: Desmos Tutorial: Matching Coordinates to Linear Functions	INSTRUCTIONAL RESOURCE: Desmos Tutorial: Matching Coordinates to Linear Functions In this Slide Show, use the Desmos graphing calculator to explore linear functions. To see the complete collection of Desmos Resources click on this link. Note: The download is a PPT file. This is part of a collection of Desmos tutorials on a variety of math topics. To see the complete collection of these resources, click on this link. Library of Instructional Resources To see the complete library of Instructional Resources , click on this link.	Applications of Linear Functions
INSTRUCTIONAL RESOURCE: Tutorial: Graphing Linear Functions	INSTRUCTIONAL RESOURCE: Tutorial: Graphing Linear Functions In this Slide Show, learn about graphs of linear functions. 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.	Applications of Linear Functions
INSTRUCTIONAL RESOURCE: Tutorial: Linear Function Models	INSTRUCTIONAL RESOURCE: Tutorial: Linear Function Models In this Slide Show, learn about linear function models. 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.	Applications of Linear Functions
INSTRUCTIONAL RESOURCE: Math Examples 12	INSTRUCTIONAL RESOURCE: Math Examples--Equations of Parallel and Perpendicular Lines The complete set of 32 examples that make up this set of tutorials. This is part of a collection of math examples for 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.	Applications of Linear Functions and Graphs of Linear Functions
INSTRUCTIONAL RESOURCE: Math Examples 19	INSTRUCTIONAL RESOURCE: Math Examples--Graphing Linear Functions in Slope-Intercept Form The complete set of 13 examples that make up this set of tutorials. This is part of a collection of math examples for 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.	Applications of Linear Functions and Graphs of Linear Functions
INSTRUCTIONAL RESOURCE: Math Examples 35	INSTRUCTIONAL RESOURCE: Math Examples--Parallel and Perpendicular Lines This set of tutorials provides 32examples that involve finding the equation of a line parallel or perpendicular to a given line and through a given point. This is part of a collection of math examples for 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.	Applications of Linear Functions and Graphs of Linear Functions
INSTRUCTIONAL RESOURCE: Math Examples 55	INSTRUCTIONAL RESOURCE: Math Examples--Surface Area This set of tutorials provides an overview of the 24 worked-out examples that show how to calculate the surface area of different three-dimensional figures. This is part of a collection of math examples for 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.	Surface Area
INSTRUCTIONAL RESOURCE: Nspire App Tutorial: Graphs of Absolute Value Functions	In this Slide Show, absolute value functions are graphed, including graphs centered at the origin, graphs displaced along the x-axis, and graphs displaced along the y-axis. This presentation requires the use of the TI-Nspire iPad App. Note: the download is a PPT.	Special Functions
INSTRUCTIONAL RESOURCE: Nspire App Tutorial: Graphs of Inequalities	In this Slide Show, the Graph Window is used to graph linear inequalities. This presentation requires the use of the TI-Nspire iPad App. Note: the download is a PPT.	Inequalities and Applications of Linear Functions
INSTRUCTIONAL RESOURCE: Nspire App Tutorial: Graphs of Inequalities with Sliders	In this Slide Show, the Graph Window is used to graph inequalities using sliders. This presentation requires the use of the TI-Nspire iPad App. Note: the download is a PPT.	Inequalities and Applications of Linear Functions
INSTRUCTIONAL RESOURCE: Nspire App Tutorial: Graphs of Linear Functions	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.	Applications of Linear Functions
INSTRUCTIONAL RESOURCE: Nspire App Tutorial: Parallel and Perpendicular Lines	In this Slide Show, explore the properties of parallel and perpendicular lines. Use a slider to define the slope and then graph parallel and perpendicular lines linked to this slider.	Parallel Lines and Perpendicular Lines
INSTRUCTIONAL RESOURCE: Nspire App Tutorial: The Perpendicular Bisectors of a Triangle	In this Slide Show, we show how to construct the perpendicular bisectors of the three sides of a triangle to show they intersect at a single point. This presentation requires the use of the TI-Nspire iPad App. Note: the download is a PPT.	Definition of a Triangle and Geometric Constructions with Triangles
Instructional Resource: TI-Nspire Activity: Exploring the Ratio of Circumference to Radius as a Linear Function	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. To see the complete collection of TI graphing calculator resources, click on this Link.	Applications of Linear Functions, Applications of Circles and Geometric Constructions with Circles
Interactive Crossword Puzzle--Linear Functions	Interactive Crossword Puzzle--Linear Functions This interactive crossword puzzle tests knowledge of key terms on the topic of linear functions. This is part of a collection of math games and interactives. To see the complete collection of the games, click on this link. Note: The download is the teacher's guide. Related Resources To see additional resources on this topic, click on the Related Resources tab.	Applications of Linear Functions
Interactive Crossword Puzzle--Parallel and Perpendicular Lines	Interactive Crossword Puzzle--Parallel and Perpendicular Lines This interactive crossword puzzle tests knowledge of key terms on the topic of the graphs of Parallel and Perpendicular Lines. This is part of a collection of math games and interactives. To see the complete collection of the games, click on this link. Note: The download is the teacher's guide. Related Resources To see additional resources on this topic, click on the Related Resources tab.	Parallel Lines and Perpendicular Lines
Interactive Math Game--Algebra Jeopardy: Linear Functions	Interactive Math Game--Algebra Jeopardy: Linear Functions 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. This is part of a collection of math games and interactives. To see the complete collection of the games, click on this link. Note: The download is the teacher's guide. Related Resources To see additional resources on this topic, click on the Related Resources tab.	Graphs of Linear Functions and Slope-Intercept Form
Interactive Math Game--DragNDrop--Equation of a Line from Two Points	Interactive Math Game--DragNDrop Math--Equation of a Line from Two Points 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. This is part of a collection of math games and interactives. To see the complete collection of the games, click on this link. Note: The download is the teacher's guide. Related Resources To see additional resources on this topic, click on the Related Resources tab.	Point-Slope Form, Slope-Intercept Form and Standard Form
Interactive Math Game--DragNDrop--Equations of Parallel Lines	Interactive Math Game--DragNDrop Math--Equations of Parallel Lines In this drag-and-drop game, match the linear equation with the equation of a parallel line through a given point. This game generates thousands of different equation combinations, offering an ideal opportunity for skill review in a game format. This is part of a collection of math games and interactives. To see the complete collection of the games, click on this link. Note: The download is the teacher's guide. Related Resources To see additional resources on this topic, click on the Related Resources tab.	Slope and Slope-Intercept Form
Interactive Math Game--DragNDrop--Equations of Perpendicular Lines	Interactive Math Game--DragNDrop Math--Equations of Perpendicular Lines In this drag-and-drop game, match the linear equation with the equation of a perpendicular line through a given point. This game generates thousands of different equation combinations, offering an ideal opportunity for skill review in a game format. This is part of a collection of math games and interactives. To see the complete collection of the games, click on this link. Note: The download is the teacher's guide. Related Resources To see additional resources on this topic, click on the Related Resources tab.	Slope and Slope-Intercept Form
Interactive Math Game--DragNDrop--Evaluating Linear Functions	Interactive Math Game--DragNDrop Math--Evaluating Linear Functions 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. This is part of a collection of math games and interactives. To see the complete collection of the games, click on this link. Note: The download is the teacher's guide. Related Resources To see additional resources on this topic, click on the Related Resources tab.	Applications of Linear Functions
Interactive Math Game--DragNDrop--Linear Functions	Interactive Math Game--DragNDrop Math--Linear Functions 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. This is part of a collection of math games and interactives. To see the complete collection of the games, click on this link. Note: The download is the teacher's guide. Related Resources To see additional resources on this topic, click on the Related Resources tab.	Applications of Linear Functions
Interactive Math Game--Equation Burst: Linear Functions	Interactive Math Game--Equation Burst: Linear Functions Use this math game to review linear functions in slope-intercept form. This is part of a collection of math games and interactives. To see the complete collection of the games, click on this link. Note: The download is the teacher's guide. Related Resources To see additional resources on this topic, click on the Related Resources tab.	Slope-Intercept Form
Interactive Math Game--Memory Game: 3D Figures	Interactive Math Game--Memory Game: 3D Figures Use this math game to review 3D figures. This is a Memory-style game in which students must remember the location of pairs of identical images. This is part of a collection of math games and interactives. To see the complete collection of the games, click on this link. Note: The download is the teacher's guide. Related Resources To see additional resources on this topic, click on the Related Resources tab.	3-Dimensional Figures
Interactive Math Game--Memory Game: Linear Functions	Interactive Math Game--Memory Game: Linear Functions 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. This is part of a collection of math games and interactives. To see the complete collection of the games, click on this link. Note: The download is the teacher's guide. Related Resources To see additional resources on this topic, click on the Related Resources tab.	Applications of Linear Functions
Interactive Math Game--Treasure Math!	Interactive Math Game--Treasure Math! 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. This is part of a collection of math games and interactives. To see the complete collection of the games, click on this link. Note: The download is the teacher's guide. Related Resources To see additional resources on this topic, click on the Related Resources tab.	Slope-Intercept Form
Interactive Word Search Puzzle--Linear Functions, Puzzle 1	Interactive Word Search Puzzle--Linear Functions, Puzzle 1 Solve an interactive word search puzzle on the topic of Linear Equations and Functions. This is part of a collection of math games and interactives. To see the complete collection of the games, click on this link. Note: The download is the teacher's guide. Related Resources To see additional resources on this topic, click on the Related Resources tab.	Applications of Linear Functions
Interactive Word Search Puzzle--Linear Functions, Puzzle 2	Interactive Word Search Puzzle--Linear Functions, Puzzle 2 Solve an interactive word search puzzle on the topic of Linear Equations and Functions. This is part of a collection of math games and interactives. To see the complete collection of the games, click on this link. Note: The download is the teacher's guide. Related Resources To see additional resources on this topic, click on the Related Resources tab.	Applications of Linear Functions
Interactive Word Search Puzzle--Linear Functions, Puzzle 3	Interactive Word Search Puzzle--Linear Functions, Puzzle 3 Solve an interactive word search puzzle on the topic of Linear Equations and Functions. This is part of a collection of math games and interactives. To see the complete collection of the games, click on this link. Note: The download is the teacher's guide. Related Resources To see additional resources on this topic, click on the Related Resources tab.	Applications of Linear Functions
Interactive Word Search Puzzle--Linear Functions, Puzzle 4	Interactive Word Search Puzzle--Linear Functions, Puzzle 4 Solve an interactive word search puzzle on the topic of Linear Equations and Functions. This is part of a collection of math games and interactives. To see the complete collection of the games, click on this link. Note: The download is the teacher's guide. Related Resources To see additional resources on this topic, click on the Related Resources tab.	Applications of Linear Functions
Interactive Word Search Puzzle--Linear Functions, Puzzle 5	Interactive Word Search Puzzle--Linear Functions, Puzzle 5 Solve an interactive word search puzzle on the topic of Linear Equations and Functions. This is part of a collection of math games and interactives. To see the complete collection of the games, click on this link. Note: The download is the teacher's guide. Related Resources To see additional resources on this topic, click on the Related Resources tab.	Applications of Linear Functions
Lesson Plan--Linear Functions and Equations (MS)--Lesson 5--Linear Functions and Applications	Lesson Plan: Linear Functions and Applications This is the fifth and final lesson in a five-part series on linear equations and inequalities designed for middle school students. In this lesson, students explore linear functions in-depth, learning how to represent them using equations, tables, and graphs. They will analyze key function properties, including slope, y-intercept, domain, and range, to develop a complete understanding of how linear functions behave. The lesson focuses on real-world applications, demonstrating how linear functions are used in various fields such as finance, physics, and business. Students will solve problems involving rates of change, cost analysis, and motion, reinforcing the practical significance of linear functions. Through guided practice and hands-on activities, they will interpret linear relationships and predict outcomes using function models.	Applications of Linear Functions
Lesson Plan--Ratios, Proportions, and Percents (Gr 8)--Lesson 4--Understanding Direct Variation and Its Connection to Proportional Relationships	Lesson Plan: Direct Variations In this lesson, students will explore direct variation, a special type of proportional relationship where one variable is a constant multiple of another. They will learn how to identify direct variation in tables, graphs, and equations, determine the constant of variation ( $k$ ), and understand how direct variation relates to linear functions. Key concepts covered in this lesson include:	Applications of Linear Functions and Applications of Ratios, Proportions, and Percents
Lesson Plan--Ratios, Proportions, and Percents (Gr 8)--Lesson 5--Analyzing and Comparing Linear Relationships, Including Parallel and Perpendicular Lines	Lesson Plan: Parallel and Perpendicular Lines In this lesson, students explore the properties of parallel and perpendicular lines in coordinate geometry. They will learn how to identify these lines based on their slopes, determine equations for parallel and perpendicular lines, and apply these concepts to solve real-world and mathematical problems. Key concepts covered in this lesson include:	Graphs of Linear Functions
Lesson Plan--Slope Concepts--Lesson 3--Visualizing Slope	Lesson Plan: Visualizing Slope on a Graph This lesson is the third installment in Media4Math's comprehensive six-part series on understanding slope in mathematics. It focuses on helping students visualize and comprehend slope by engaging in hands-on activities that involve plotting points on a coordinate plane and analyzing the resulting lines.	Slope
Lesson Plan--Slope Concepts--Lesson 6--Slope as Rate of Change	Lesson Plan: Slope as Rate of Change This lesson is the sixth and final installment in Media4Math's comprehensive six-part series on understanding slope in mathematics. It focuses on interpreting slope as a rate of change between two quantities, enabling students to apply this concept to real-world scenarios and mathematical problems.	Slope
Lesson Plan: Cross-Sections of 3D Figures, Part 1	Lesson Plan: Cross-Sections of 3D Figures In this engaging math lesson, students explore cross-sections of cubes, cylinders, and cones through interactive activities, real-world examples, and animated visuals. They will learn how slicing three-dimensional shapes in different ways produces a variety of two-dimensional figures, helping to develop spatial reasoning and geometric understanding. The lesson begins with a conceptual introduction to cross-sections, followed by hands-on practice with everyday objects such as gift boxes, paper towel rolls, and ice cream cones. Students will investigate how horizontal, vertical, and diagonal slices impact the resulting shapes. Animated GIFs illustrate these concepts, reinforcing learning through dynamic visual representations.	3-Dimensional Figures
Math Clip Art--Applications of Direct Variations--Circles 1	Math Clip Art--Applications of Direct Variations--Circles 1 This is a collection of clip art images that show an application of direction variations in the context of circles.	Ratios and Rates and Proportions
Math Clip Art--Applications of Direct Variations--Circles 2	Math Clip Art--Applications of Direct Variations--Circles 2 This is a collection of clip art images that show an application of direction variations in the context of circles.	Ratios and Rates and Proportions
Math Clip Art--Applications of Direct Variations--Circles 3	Math Clip Art--Applications of Direct Variations--Circles 3 This is a collection of clip art images that show an application of direction variations in the context of circles.	Ratios and Rates and Proportions
Math Clip Art--Applications of Direct Variations--Circles 4	Math Clip Art--Applications of Direct Variations--Circles 4 This is a collection of clip art images that show an application of direction variations in the context of circles.	Ratios and Rates and Proportions
Math Clip Art--Applications of Direct Variations--Circles 5	Math Clip Art--Applications of Direct Variations--Circles 5 This is a collection of clip art images that show an application of direction variations in the context of circles.	Ratios and Rates and Proportions