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Transforming Shapes with GeoGebra: Investigating Composite Transformations

Explore the world of composite transformations in GeoGebra. Learn to undo each transformation, investigate rotations around different points, translations, reflections, and their combinations. Make conjectures, do constructions, and delve into single equivalent transformations. Prepare for tomorrow's activities and clean up your workspace effectively.

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Transforming Shapes with GeoGebra: Investigating Composite Transformations

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Presentation Transcript

  1. GBK Geometry Jordan Johnson

  2. Today’s plan • Greeting • Unit 4 Test Statistics • Lab • Homework / Questions • Clean-up

  3. Unit 4 Test Statistics

  4. Lab • Topics to investigate in GeoGebra: • How do you “undo” each of the transformations? • Composite transformations: • What happens when you rotate and rotate again? • Around the same point? • Around different points? • Or translate and translate again? • Or translate and rotate? • Or reflect and reflect again? • Is any of those composite transformations the same as one single transformation? • Look for opportunities to make conjectures • Do constructions (from the log)

  5. Lab • Topics to investigate in GeoGebra: • Composite transformations:Is there a single transformation equivalent to… • …translating twice, with different slopes & distances? • …reflecting twice across different lines? • Look for opportunities to make conjectures • Do constructions (from the log)

  6. Homework • For tomorrow: • 20 min Khan Academy • Look for recommendations • None? Pick a topic or do Mastery Challenges. • Think about the problems, write down any new observations or questions. • Rope • Circle center • Obtuse  Acute Triangle Dissection

  7. Clean-up / Reminders • Pick up all trash / items. • Push in chairs (at front and back tables). • See you tomorrow!

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