Understand the rigid transformations that move figures in the plane (translation, reflection, rotation).
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If you need to adapt or shorten this lesson for remote learning, we suggest prioritizing Anchor Problems 1 or 2 (benefit from discussion) . Find more guidance on adapting our math curriculum for remote learning here.
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Show the first video of Ms. Pac-Man under “The Situation.” from Robert Kaplinsky's How Did They Make Ms. Pac-Man?
After discussion, introduce the term “translation” and show the next video (“Translations Only”).
After discussion, introduce the term “reflection” and show the next video (“Translations and Reflections Only”).
After discussion, introduce the term “rotation” and show the next video (“Translation, Reflections, and Rotations”).
Lastly, show the video with the coordinate plane (“Translations, Reflections, Rotations, and Coordinate Plane”).
Note, do not have students complete the list of transformations referenced in the link.
For each pair of figures, decide whether these figures are the same size and same shape. Be prepared to justify your reasoning. You may use mathematical tools to make your decision.
Same Size, Same Shape?, accessed on Oct. 13, 2017, 1:11 p.m., is licensed by Illustrative Mathematics under either the CC BY 4.0 or CC BY-NC-SA 4.0. For further information, contact Illustrative Mathematics.
Modified by Fishtank Learning, Inc.How would you move one figure to get to the other figure? What transformations would you use? Are the figures congruent?
Example 1:
Example 2:
Example 3: Lines $$P$$ and $$Q$$ are parallel and are transformed to map onto lines $$P'$$ and $$Q'$$.
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The following resources include problems and activities aligned to the objective of the lesson that can be used to create your own problem set.
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Triangle $${{{CDE}}}$$ underwent a transformation that created triangle $${{{C'D'E'}}}$$.
a. Describe how triangle $${{{CDE}}}$$ was transformed to become triangle $${{{C'D'E'}}}$$.
b. What features stayed the same?
c. What features changed?
d. Is triangle $${{{CDE}}}$$ congruent to triangle $${{{C'D'E'}}}$$? Explain how you know.
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