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Illustrative Math-Media4Math Alignment

 

 

Illustrative Math Alignment: Grade 8 Unit 1

Rigid Transformations and Congruence

Lesson 8: Rotation Patterns

Use the following Media4Math resources with this Illustrative Math lesson.

Thumbnail Image Title Body Curriculum Topic
Math Example--Geometric Transformation--Translating Triangles--Example 4 Math Example--Geometric Transformation--Translating Triangles--Example 4 Math Example--Geometric Transformation--Translating Triangles--Example 4

Topic

Transformations

Description

A triangle on a grid is translated 5 units down. It shows the original triangle and its new position after translation, labeled A'B'C'. Example 4: "Draw the triangle that results from the following translation: 5 units down." Solution: "Identify one point to translate. Then complete the triangle."

Applications of Transformations and Applications of Triangles
Math Example--Geometric Transformation--Translating Triangles--Example 5 Math Example--Geometric Transformation--Translating Triangles--Example 5 Math Example--Geometric Transformation--Translating Triangles--Example 5

Topic

Transformations

Description

A triangle is translated 4 units to the left and 2 units down. Both the original and the new triangles, ABC and A'B'C', are illustrated. Example 5: "Draw the triangle that results from the following translation: 4 units to the left, 2 units down." Solution: "Identify one point to translate. Then complete the triangle."

Applications of Transformations and Applications of Triangles
Math Example--Geometric Transformation--Translating Triangles--Example 6 Math Example--Geometric Transformation--Translating Triangles--Example 6 Math Example--Geometric Transformation--Translating Triangles--Example 6

Topic

Transformations

Description

The triangle is translated 5 units to the right and 3 units up. The image includes both original and translated triangles, labeled ABC and A'B'C'. Example 6: "Draw the triangle that results from the following translation: 5 units to the right, 3 units up." Solution: "Identify one point to translate. Then complete the triangle."

Applications of Transformations and Applications of Triangles
Math Example--Geometric Transformation--Translating Triangles--Example 7 Math Example--Geometric Transformation--Translating Triangles--Example 7 Math Example--Geometric Transformation--Translating Triangles--Example 7

Topic

Transformations

Description

A triangle is translated 4 units up and 5 units left, showing the original ABC and translated A'B'C' triangles. Example 7: "Draw the triangle that results from the following translation: 4 units up, 5 units left." Solution: "Identify one point to translate. Then complete the triangle."

Applications of Transformations and Applications of Triangles
Math Example--Geometric Transformation--Translating Triangles--Example 8 Math Example--Geometric Transformation--Translating Triangles--Example 8 Math Example--Geometric Transformation--Translating Triangles--Example 8

Topic

Transformations

Description

 

The triangle is translated 5 units up and 2 units right. The image shows both the original and translated positions of the triangle. Example 8: "Draw the triangle that results from the following translation: 5 units up, 2 units rogjt." Solution: "Identify one point to translate. Then complete the triangle."

Applications of Transformations and Applications of Triangles
Math Example--Geometric Transformation--Translating Triangles--Example 9 Math Example--Geometric Transformation--Translating Triangles--Example 9 Math Example--Geometric Transformation--Translating Triangles--Example 9

Topic

Transformations

Description

A triangle is translated 4 units to the right and 3 units down. The image shows both the original and the new triangle positions. Example 9: "Draw the triangle that results from the following translation: 4 units to the right, 3 units down." Solution: "Identify one point to translate. Then complete the triangle."

Applications of Transformations and Applications of Triangles
MATH EXAMPLES--Teacher's Guide: Transformations MATH EXAMPLES--Teacher's Guide: Transformations MATH EXAMPLES--Teacher's Guide: Transformations

This set of tutorials provides 56 examples of transformations of geometric figures on a graph.

This is part of a collection of teacher's guides. To see the complete collection of teacher's guides, click on this link. Note: The download is a PDF file.

Related Resources

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

Applications of Transformations and Definition of Transformations
MATH EXAMPLES--Transformations MATH EXAMPLES--Transformations MATH EXAMPLES--Transformations

This set of tutorials provides 56 examples of transformations of geometric figures on a graph. NOTE: The download is a PPT file.

Applications of Transformations and Definition of Transformations
Promethean Flipchart: Geometry Applications: Transformations 1

Roller coasters provide an ideal opportunity to explore translations and rotations. Displacement vectors are also introduced. Note: The download for this resources is the Promethean Flipchart.

To access the full video [Geometry Applications: Transformations, Segment 1: Translations and Rotations]: https://www.media4math.com/library/geometry-applications-transformations-segment-1-translations-and-rotations

This video includes a video transcript: https://media4math.com/library/video-transcript-geometry-applications-transformations-segment-1-translations-and-rotations

Applications of Transformations
Promethean Flipchart: Geometry Applications: Transformations 2

Cargo ships transport tons of merchandise from one country to another and accounts for most of the global economy. Loading and unloading these ships requires a great deal of organization and provides an ideal example of three-dimensional translations. Note: The download for this resources is the Promethean Flipchart.

To access the full video [Geometry Applications: Transformations, Segment 2: 3D Translations]: https://www.media4math.com/library/geometry-applications-transformations-segment-2-3d-translations

This video includes a video transcript: https://media4math.com/library/video-transcript-geometry-applications-transformations-segment-2-3d-translations

Applications of Transformations
Promethean Flipchart: Geometry Applications: Transformations 3

The Gemini telescope in Hawaii is an example of architecture that moves. All observatories rotate in order to follow objects in the sky. This also provides an opportunity to explore rotations, reflections, and symmetry. Note: The download for this resources is the Promethean Flipchart.

The full video [Geometry Applications: Transformations, Segment 3: Rotations, Reflections, and Symmetry] can be found here: https://media4math.com/library/geometry-applications-transformations-segment-3-rotations-reflections-and-symmetry

Applications of Transformations
Video Transcript: Geometry Applications: Transformations Video Transcript: Geometry Applications: Transformations Video Transcript: Geometry Applications: Transformations

This is the transcript for the video of same title. Video contents: In this program we look at applications of transformations. We do this in the context of three real-world applications. In the first, we look at translations and rotations in the context of roller coaster rides. In the second example we look at translations in three-dimensional space in the context of cargo ships. In the third example, we look at the design of observatories to look at rotations, reflections, and symmetry.

Applications of Transformations
Video Transcript: Geometry Applications: Transformations, Segment 1: Translations and Rotations Video Transcript: Geometry Applications: Transformations, Segment 1: Translations and Rotations Video Transcript: Geometry Applications: Transformations, Segment 1: Translations and Rotations

This is the transcript for the video of same title. Video contents: Roller coasters provide an ideal opportunity to explore translations and rotations. Displacement vectors are also introduced.

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.

Applications of Transformations
Video Transcript: Geometry Applications: Transformations, Segment 2: 3D Translations Video Transcript: Geometry Applications: Transformations, Segment 2: 3D Translations Video Transcript: Geometry Applications: Transformations, Segment 2: 3D Translations

This is the transcript for the video of same title. Video contents: Cargo ships transport tons of merchandise from one country to another and accounts for most of the global economy. Loading and unloading these ships requires a great deal of organization and provides an ideal example of three-dimensional translations.

Applications of Transformations
Video Transcript: Geometry Applications: Transformations, Segment 3: Rotations, Reflections, and Symmetry Video Transcript: Geometry Applications: Transformations, Segment 3: Rotations, Reflections, and Symmetry Video Transcript: Geometry Applications: Transformations, Segment 3: Rotations, Reflections, and Symmetry

This is the transcript for the video of same title. Video contents: The Gemini telescope in Hawaii is an example of architecture that moves. All observatories rotate in order to follow objects in the sky. This also provides an opportunity to explore rotations, reflections, and symmetry.

Applications of Transformations
VIDEO: Geometry Applications: Transformations VIDEO: Geometry Applications: Transformations VIDEO: Geometry Applications: Transformations

Topic

Transformations

Applications of Transformations and Definition of Transformations
VIDEO: Geometry Applications: Transformations, Segment 1: Translations and Rotations. VIDEO: Geometry Applications: Transformations, 1 VIDEO: Geometry Applications: Transformations, 1

Topic

Transformations

Description

Explores translations and rotations in motion, using roller coasters as an example. Key concepts include displacement vectors, magnitude, and direction, modeled geometrically and computationally for practical applications in physics and engineering.

Applications of Transformations and Definition of Transformations
VIDEO: Geometry Applications: Transformations, Segment 2: 3D Translations. VIDEO: Geometry Applications: Transformations, 2 VIDEO: Geometry Applications: Transformations, 2

Topic

Transformations

Description

This segment applies 3D translations to logistics, focusing on container arrangement in shipping. Using coordinate systems, it demonstrates efficiency in loading/unloading cargo, leveraging geometric organization and data sorting methods for real-world impact.

Applications of Transformations and Definition of Transformations
VIDEO: Geometry Applications: Transformations, Segment 3: Rotations, Reflections, and Symmetry. VIDEO: Geometry Applications: Transformations, 3 VIDEO: Geometry Applications: Transformations, 3

Topic

Transformations

Description

Analyzes observatory designs and their use of rotational and reflective symmetry for astronomical viewing. The segment models celestial movements and applies rotational geometry concepts to optimize the structure’s functionality.

Applications of Transformations and Definition of Transformations