In this module explore reflection and symmetry in the context of Leonardo Da Vinci's mirror writing. Many of Da Vinci's handwritten notes were written in reverse script that could only be read correctly in a mirror. This provides an opportunity to explore geometric reflections, but also the symmetric properties of certain letters of the alphabet.

The module begins by looking at reflections and axes of reflection. Through this exploration students come to recognize that some letters, in spite of a reflection, are unchanged. This creates an opportunity to explore vertical and horizontal line symmetry.

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.

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Roller coasters provide an ideal opportunity to explore translations and rotations. Displacement vectors are also introduced.

A Video Transcript is available for this tutorial at this Link

Note: The download is Media4Math's guide to closed captioned videos.

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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.

A Video Transcript is available for this tutorial at this Link

Note: The download is Media4Math's guide to closed captioned videos.

Other Closed Captioned Videos

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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.

A Video Transcript is available for this tutorial at this Link

Note: The download is Media4Math's guide to closed captioned videos.

Other Closed Captioned Videos

To see the complete collection of Closed Captioned Videos, click on this Link

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.

This video includes a video transcript: https://media4math.com/library/video-transcript-geometry-applications-transformations

Roller coasters provide an ideal opportunity to explore translations and rotations. Displacement vectors are also introduced.

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

This video includes a Promethean Flipchart: https://www.media4math.com/library/promethean-flipchart-geometry-applications-transformations-1

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.

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

This video includes a Promethean Flipchart: https://www.media4math.com/library/promethean-flipchart-geometry-applications-transformations-2

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.

This video includes a video transcript: https://media4math.com/library/video-transcript-geometry-applications-transformations-segment-3-rotations-reflections-and

This video includes a Promethean Flipchart: https://www.media4math.com/library/promethean-flipchart-geometry-applications-transformations-3

Transformations: Example 1. In this example, the Letter "T" is translated.

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Transformations: Example 2. In this example, the Letter "T" is translated and rotated.

Note: The download is a JPG file.

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To see the complete collection of Math Examples on this topic, click on this link: https://bit.ly/3ebwjGS

Transformations: Example 3. In this example, the Letter "T" is translated and flipped.

Note: The download is a JPG file.

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Transformations: Example 4. In this example, the Letter "T" is rotated.

Note: The download is a JPG file.

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To see the complete collection of Math Examples on this topic, click on this link: https://bit.ly/3ebwjGS

Transformations: Example 5. In this example, the Letter "T" is rotated and flipped.

Note: The download is a JPG file.

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To see the complete collection of Math Examples on this topic, click on this link: https://bit.ly/3ebwjGS

Transformations: Example 6. In this example, the Letter "T" is flipped.

Note: The download is a JPG file.

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Transformations: Example 7. In this example, the Letter "T" is translated, rotated, and flipped.

Note: The download is a JPG file.

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To see the complete collection of Math Examples on this topic, click on this link: https://bit.ly/3ebwjGS

Transformations: Example 8. In this example, the Letter "O" is translated.

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To see the complete collection of Math Examples on this topic, click on this link: https://bit.ly/3ebwjGS

Transformations: Example 9. In this example, the Letter "O" is translated and rotated.

Note: The download is a JPG file.

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To see the complete collection of Math Examples on this topic, click on this link: https://bit.ly/3ebwjGS

Transformations: Example 10. In this example, the Letter "O" is translated and flipped.

Note: The download is a JPG file.

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Transformations: Example 11. In this example, the Letter "O" is rotated.

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Transformations: Example 12. In this example, the Letter "O" is rotated and flipped.

Note: The download is a JPG file.

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Transformations: Example 13. In this example, the Letter "O" is flipped.

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To see the complete collection of Math Examples on this topic, click on this link: https://bit.ly/3ebwjGS

Transformations: Example 14. In this example, the Letter "O" is translated, rotated, and flipped.

Note: The download is a JPG file.

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Transformations: Example 15. In this example, the Letter "F" is translated.

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Transformations: Example 16. In this example, the Letter "F" is translated and rotated.

Note: The download is a JPG file.

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To see the complete collection of Math Examples on this topic, click on this link: https://bit.ly/3ebwjGS