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Illustrative Math-Media4Math Alignment

 

 

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.

Thumbnail Image Title Body Curriculum Topic
Promethean Flipchart: Algebra Applications: Cycling

The relationship between slope and grade in cycling is explored. Go on a tour of Italy through the mountains of Tuscany and apply students' understanding of slope. Note: The download for this resources is the Promethean Flipchart.

To access the full video: [Algebra Applications: Linear Functions, Segment 2: Cycling]: https://www.media4math.com/library/video-algebra-applications-linear-functions-segment-2-cycling

This video includes a Video Transcript: [Algebra Applications: Linear Functions, Segment 2: Cycling]: https://www.media4math.com/library/video-transcript-algebra-applications-linear-functions-segment-2-cycling

Applications of Linear Functions
Promethean Flipchart: Algebra Applications: Exercise

Exercise needs to become a consistent part of everyone's lifestyle. In particular, aerobic exercises, which vigorously exerts the heart, is an important form of exercise. The maximum heart rate from aerobic exercise is a linear function dependent on age. Students are asked to develop a data table based on the function. Note: The download for this resources is the Promethean Flipchart.

To access the full video: [Algebra Applications: Linear Functions, Segment 4: Exercise]: https://www.media4math.com/library/video-algebra-applications-linear-functions-segment-4-exercise

Applications of Linear Functions
Promethean Flipchart: Algebra Applications: Oil Drilling

The potential for oil exploration in the controversial Alaska National Wildlife Refuge (ANWR) sets the scene for this problem. A linear regression of oil consumption data over the past 25 years reveals an interesting pattern. How could new oil fields like ANWR help in breaking our dependence on foreign oil? Note: The download for this resources is the Promethean Flipchart.

To access the full video [Algebra Applications: Linear Functions, Segment 3: Oil Exploration]: https://www.media4math.com/library/video-algebra-applications-linear-functions-segment-3-oil-exploration

Applications of Linear Functions
Promethean Flipchart: Algebra Nspirations: Linear Functions

In this program, internationally acclaimed mathematics educator Dr. Monica Neagoy, explores the nature of linear functions through the use TI graphing calculators. Examples ranging from air travel, construction, engineering, and space travel provide real-world examples for discovering algebraic concepts. All examples are solved algebraically and then reinforced through the use of the TI-Nspire. Algebra teachers looking to integrate hand-held technology and visual media into their instruction will benefit greatly from this series. Concepts explored: Standard form, slope-intercept form, point-slope form, solving linear equations Note: The download for this resources is the Promethean Flipchart.

This video includes a Teacher's Guide: https://www.media4math.com/library/algebra-nspirations-teachers-guide-linear-functions

Applications of Linear Functions
Promethean Flipchart: Geometry Applications: 3D Geometry 1

Rectangular Prisms. Mayan pyramids are essentially stacks of rectangular prisms. The volume of each successive level is a percentage decrease of its lower neighbor. This introduces the notion of a geometric sequence and series, including an infinite series. Note: The download for this resources is the Promethean Flipchart.

For access to the full video [Geometry Applications: 3D Geometry, Segment 2: Pyramids]: https://media4math.com/library/geometry-applications-3d-geometry-segment-2-pyramids

This video includes a Video Transcript [Video Transcript: Geometry Applications: 3D Geometry, Segment 2: Pyramids]: https://www.media4math.com/library/video-transcript-geometry-applications-3d-geometry-segment-2-pyramids

Applications of 3D Geometry
Promethean Flipchart: Geometry Applications: 3D Geometry 2

The Shanghai Tower in China is a stack of cylindrical shapes, where each successive layer is a percentage decrease of its lower neighbor. As with the previous section, this introduces the notion of a geometric sequence and series. Note: The download for this resources is the Promethean Flipchart.

To access the full video [Geometry Applications: 3D Geometry, Segment 3: Cylinders]: https://media4math.com/library/geometry-applications-3d-geometry-segment-3-cylinders

This video includes a Video Transcript [Video Transcript: Geometry Applications: 3D Geometry, Segment 3: Cylinders]: https://www.media4math.com/library/video-transcript-geometry-applications-3d-geometry-segment-3-cylinders

 

Applications of 3D Geometry
QuizletFlashCards.jpg Quizlet Flash Cards: Point-Slope Form

In this set of Quizlet flash cards test understanding of the point-slope form.

Note: The download is the teacher's guide for using Media4Math's Quizlet Flash Cards.

Related Resources

To see the complete Quizlet Flash Card Library, click on this link: https://media4math.com/Quizlet-Resources
Point-Slope Form
QuizletFlashCards.jpg Quizlet Flash Cards: Slope-Intercept Form

In this set of Quizlet flash cards test understanding of the slope-intercept form.

Note: The download is the teacher's guide for using Media4Math's Quizlet Flash Cards.

Related Resources

To see the complete Quizlet Flash Card Library, click on this link: https://media4math.com/Quizlet-Resources
Slope-Intercept Form
Test Prep Interactive Quiz--Linear Functions Test Prep Interactive Quiz--Linear Functions Test Prep Interactive Quiz--Linear Functions

This is part of a collection of self-scoring interactive math quizzes on a variety of topics.

To see the complete of these quizzes, 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.

Quiz Library

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

ary">click on this link.

Graphs of Linear Functions, Slope and Slope-Intercept Form
TI-84 Tutorial: Linear Functions TI-84 Tutorial: Linear Functions TI-84 Tutorial: Linear Functions

In this TI-84 tutorial we show how to graph linear functions and trace their coordinates. Note: The download is a PPT file.

Graphs of Linear Functions
Video Transcript: Algebra Applications: Linear Functions Video Transcript: Algebra Applications: Linear Functions Video Transcript: Algebra Applications: Linear Functions

Linear Expressions, Equations, and Functions

Linear Expressions
Applications of Linear Functions and Graphs of Linear Functions
Video Transcript: Algebra Applications: Linear Functions, Segment 1: Introduction Video Transcript: Algebra Applications: Linear Functions, Segment 1: Introduction Video Transcript: Algebra Applications: Linear Functions, Segment 1: Introduction

Linear Expressions, Equations, and Functions

Linear Expressions
Applications of Linear Functions and Graphs of Linear Functions
Video Transcript: Algebra Applications: Linear Functions, Segment 2: Cycling Video Transcript: Algebra Applications: Linear Functions, Segment 2: Cycling Video Transcript: Algebra Applications: Linear Functions, Segment 2: Cycling

Linear Expressions, Equations, and Functions

Linear Expressions
Applications of Linear Functions and Graphs of Linear Functions
Video Transcript: Algebra Applications: Linear Functions, Segment 3: Oil Exploration Video Transcript: Algebra Applications: Linear Functions, Segment 3: Oil Exploration Video Transcript: Algebra Applications: Linear Functions, Segment 3: Oil Exploration

Linear Expressions, Equations, and Functions

Linear Expressio
Applications of Linear Functions and Graphs of Linear Functions
Video Transcript: Algebra Applications: Linear Functions, Segment 4: Exercise Video Transcript: Algebra Applications: Linear Functions, Segment 4: Exercise Video Transcript: Algebra Applications: Linear Functions, Segment 4: Exercise

Linear Expressions, Equations, and Functions

Linear Expressions
Applications of Linear Functions and Graphs of Linear Functions
Video Transcript: Algebra Nspirations: Linear Functions Video Transcript: Algebra Nspirations: Linear Functions Video Transcript: Algebra Nspirations: Linear Functions

This is the transcript for the video of same title. Video contents: In this program, internationally acclaimed mathematics educator Dr. Monica Neagoy, explores the nature of linear functions through the use TI graphing calculators. Examples ranging from air travel, construction, engineering, and space travel provide real-world examples for discovering algebraic concepts. All examples are solved algebraically and then reinforced through the use of the TI-Nspire. Algebra teachers looking to integrate hand-held technology and visual media into their instruction will benefit greatly from this series. Concepts explored: Standard form, slope-intercept form, point-slope form, solving linear equations

Applications of Linear Functions and Graphs of Linear Functions
Video Transcript: Algebra Nspirations: Linear Functions, Part 1 Video Transcript: Algebra Nspirations: Linear Functions, 1 Video Transcript: Algebra Nspirations: Linear Functions, Part 1

This is the transcript for the video of same title. Video contents: In this Investigation we look at linear models for objects moving at a constant speed.

This is part of a collection of video transcript from the Algebra Nspirations video series. 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.

Applications of Linear Functions and Graphs of Linear Functions
Video Transcript: Algebra Nspirations: Linear Functions, Part 2 Video Transcript: Algebra Nspirations: Linear Functions, 2 Video Transcript: Algebra Nspirations: Linear Functions, Part 2

This is the transcript for the video of same title. Video contents: In this Investigation we look at a linear regression for carbon dioxide emission data.

This is part of a collection of video transcript from the Algebra Nspirations video series. 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.

Applications of Linear Functions and Graphs of Linear Functions
Video Transcript: Geometry Applications: 3D Geometry Video Transcript: Geometry Applications: 3D Geometry Video Transcript: Geometry Applications: 3D Geometry

This is the transcript for the video of same title. Video contents: In this program we explore the properties of three-dimensional figures. We do this in the context of two real-world applications. In the first, we look at the three-dimensional structure of Mayan pyramids. These stair-step structures provide a unique opportunity to also explore sequences and series. In the second application we look at the Shanghai Tower as an example of cylindrically shaped structures.

3-Dimensional Figures and Applications of 3D Geometry
Video Transcript: Geometry Applications: 3D Geometry, Segment 1: Introduction Video Transcript: Geometry Applications: 3D Geometry, Segment 1: Introduction Video Transcript: Geometry Applications: 3D Geometry, Segment 1: Introduction

This is the transcript for the video of same title. Video contents: We visit ancient Greece to learn about the Platonic Solids. This provides an introduction to the more general topic of three-dimensional figures.

This is part of a collection of video transcript from the Geometry Applications video series. 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.

3-Dimensional Figures and Applications of 3D Geometry
Video Transcript: Geometry Applications: 3D Geometry, Segment 2: Pyramids Video Transcript: Geometry Applications: 3D Geometry, Segment 2: Pyramids Video Transcript: Geometry Applications: 3D Geometry, Segment 2: Pyramids

This is the transcript for the video of same title. Video contents: Rectangular Prisms. Mayan pyramids are essentially stacks of rectangular prisms. The volume of each successive level is a percentage decrease of its lower neighbor. This introduces the notion of a geometric sequence and series, including an infinite series.

3-Dimensional Figures and Applications of 3D Geometry
Video Transcript: Geometry Applications: 3D Geometry, Segment 3: Cylinders Video Transcript: Geometry Applications: 3D Geometry, Segment 3: Cylinders Video Transcript: Geometry Applications: 3D Geometry, Segment 3: Cylinders

This is the transcript for the video of same title. Video contents: The Shanghai Tower in China is a stack of cylindrical shapes, where each successive layer is a percentage decrease of its lower neighbor. As with the previous section, this introduces the notion of a geometric sequence and series.

3-Dimensional Figures and Applications of 3D Geometry
Video Transcript: Linear Functions: Negative Slope, Negative y-Intercept Video Transcript: Linear Functions: Negative Slope, Negative y-Intercept Video Transcript: Linear Functions: Negative Slope, Negative y-Intercept

This is the transcript that goes with the video segment entitled Video: Linear Functions: Negative Slope, Negative y-Intercept.

This is part of a collection of video transcripts for the video tutorial series on Linear Functions. 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.

Graphs of Linear Functions
Video Transcript: Linear Functions: Negative Slope, Positive y-Intercept Video Transcript: Linear Functions: Negative Slope, Positive y-Intercept Video Transcript: Linear Functions: Negative Slope, Positive y-Intercept

This is the transcript that goes with the video segment entitled Video: Linear Functions: Negative Slope, Positive y-Intercept.

This is part of a collection of video transcripts for the video tutorial series on Linear Functions. 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.

Graphs of Linear Functions
Video Transcript: Linear Functions: Negative Slope, Zero y-Intercept Video Transcript: Linear Functions: Negative Slope, Zero y-Intercept Video Transcript: Linear Functions: Negative Slope, Zero y-Intercept

This is the transcript that goes with the video segment entitled Video: Linear Functions: Negative Slope, Zero y-Intercept.

This is part of a collection of video transcripts for the video tutorial series on Linear Functions. 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.

Graphs of Linear Functions
Video Transcript: Linear Functions: Positive Slope, Negative y-Intercept Video Transcript: Linear Functions: Positive Slope, Negative y-Intercept Video Transcript: Linear Functions: Positive Slope, Negative y-Intercept

This is the transcript that goes with the video segment entitled Video: Linear Functions: Positive Slope, Negative y-Intercept.

This is part of a collection of video transcripts for the video tutorial series on Linear Functions. 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.

Graphs of Linear Functions
Video Transcript: Linear Functions: Positive Slope, Positive y-Intercept Video Transcript: Linear Functions: Positive Slope, Positive y-Intercept Video Transcript: Linear Functions: Positive Slope, Positive y-Intercept

This is the transcript that goes with the video segment entitled Video: Linear Functions: Positive Slope, Positive y-Intercept.

This is part of a collection of video transcripts for the video tutorial series on Linear Functions. 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.

Graphs of Linear Functions
Video Transcript: Linear Functions: Positive Slope, Zero y-Intercept Video Transcript: Linear Functions: Positive Slope, Zero y-Intercept Video Transcript: Linear Functions: Positive Slope, Zero y-Intercept

This is the transcript that goes with the video segment entitled Video: Linear Functions: Positive Slope, Zero y-Intercept.

This is part of a collection of video transcripts for the video tutorial series on Linear Functions. 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.

Graphs of Linear Functions
Video Tutorial: Cricket Chirps Video Tutorial: Cricket Chirps Video Tutorial: Cricket Chirps

This YouTube video describes the relationship between the number of cricket chirps and outside temperature. This is an application of linear functions of the form y = mx + b.

Applications of Linear Functions
Video Tutorial: Hooke's Law Video Tutorial: Hooke's Law Video Tutorial: Hooke's Law

This YouTube video describes Hooke's Law, which is an application of linear functions of the form y = kx.

Slope-Intercept Form and Proportions
Video Tutorial: Identity Function Video Tutorial: Identity Function Video Tutorial: Identity Function

This video looks at the identity function. Students review the identity properties of addition and multiplication as a means of better understanding the identity function.

Relations and Functions and 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:  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: 3D Geometry Animation: Antiprism Folding Out into Two Pyramids VIDEO: 3D Geometry Animation: Antiprisms 2 VIDEO: 3D Geometry Animation: Antiprism Folding Out into Two Pyramids

This is part of a series of video animations of three-dimensional figures. These animations show different views of these figures: top, side, and bottom. Many of these figures are a standard part of the geometry curriculum and being able to recognize them is important.

— CLICK THE PREVIEW BUTTON TO SEE THE VIDEO ANIMATION —

Study these animations to learn the basic properties of these 3D figures. In particular, make a note of their sides, edges, and vertices. Look for any symmetries they have. Look for polygon shapes that are familiar. Finally, think of real-world examples that use these  figures.

Below we also include information about Platonic solids and 2D nets of these 3D figures. To get a better understanding of these 3D figures, study these basic forms.

3-Dimensional Figures
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 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
VIDEO: Algebra Nspirations: Linear Functions, Segment 4 VIDEO: Algebra Nspirations: Linear Functions, 4 VIDEO: Algebra Nspirations: Linear Functions, Segment 4

In this Math Lab we explore a linear model through a data-gathering activity. This video is Segment 4 of a 4 segment series related to Algebra Nspirations: Linear Functions.

Applications of Linear Functions
VIDEO: Geometry Applications: 3D Geometry VIDEO: Geometry Applications: 3D Geometry VIDEO: Geometry Applications: 3D Geometry

In this program we explore the properties of three-dimensional figures. We do this in the context of two real-world applications. In the first, we look at the three-dimensional structure of Mayan pyramids. These stair-step structures provide a unique opportunity to also explore sequences and series. In the second application we look at the Shanghai Tower as an example of cylindrically shaped structures.

— CLICK THE PREVIEW BUTTON TO SEE THE VIDEO —

Study these animations to learn the basic properties of these 3D figures. In particular, make a note of their sides, edges, and vertices. Look for any symmetries they have. Look for polygon shapes that are familiar. Finally, think of real-world examples that use these  figures.

3-Dimensional Figures and Applications of 3D Geometry
VIDEO: Geometry Applications: 3D Geometry, Segment 1: Introduction. VIDEO: Geometry Applications: 3D Geometry, 1 VIDEO: Geometry Applications: 3D Geometry, Segment 1: Introduction.

We visit ancient Greece to learn about the Platonic Solids. This provides an introduction to the more general topic of three-dimensional figures.

— CLICK THE PREVIEW BUTTON TO SEE THE VIDEO —

Study these animations to learn the basic properties of these 3D figures. In particular, make a note of their sides, edges, and vertices. Look for any symmetries they have. Look for polygon shapes that are familiar. Finally, think of real-world examples that use these  figures.

Below we also include information about Platonic solids and 2D nets of these 3D figures. To get a better understanding of these 3D figures, study these basic forms.

3-Dimensional Figures and Applications of 3D Geometry
VIDEO: Geometry Applications: 3D Geometry, Segment 2: Pyramids VIDEO: Geometry Applications: 3D Geometry, 2 VIDEO: Geometry Applications: 3D Geometry, Segment 2: Pyramids

Rectangular Prisms. Mayan pyramids are essentially stacks of rectangular prisms. The volume of each successive level is a percentage decrease of its lower neighbor. This introduces the notion of a geometric sequence and series, including an infinite series.

— CLICK THE PREVIEW BUTTON TO SEE THE VIDEO —

Study these animations to learn the basic properties of these 3D figures. In particular, make a note of their sides, edges, and vertices. Look for any symmetries they have. Look for polygon shapes that are familiar. Finally, think of real-world examples that use these  figures.

Below we also include information about Platonic solids and 2D nets of these 3D figures. To get a better understanding of these 3D figures, study these basic forms.

3-Dimensional Figures, Pyramids and Applications of 3D Geometry