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Transformations, Tessellations & Smartphones

Transformations, Tessellations & Smartphones. AMATYC Friday, November 1,2013. Common Core State Standards for Mathematics. Ask students to: Experiment with transformations in the plane Understand congruence in terms of rigid motions

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Transformations, Tessellations & Smartphones

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  1. Transformations, Tessellations & Smartphones AMATYC Friday, November 1,2013

  2. Common Core State Standards for Mathematics • Ask students to: • Experiment with transformations in the plane • Understand congruence in terms of rigid motions • Understand similarity in terms of similarity transformations.

  3. Four transformations • Rigid Motions that demonstrate congruency: • 1.Translation • 2. Reflection • 3. Rotation • 4. Glide reflection

  4. Translations - SLIDE Slide vector

  5. Reflection - Flip Flip over line of symmetry

  6. Rotation - turn Rotate about the turn center

  7. Glide Reflection Translation and rotation

  8. Dilation Demonstrates Similarity

  9. Symmetry Line of Reflection

  10. Tessellations Filling the plane with repetitions of congruent figures

  11. Soumaya Museumin Mexico City

  12. Smartphone activity Student Examples

  13. STEP 1: Take 3 pictures • Take 3 pictures with an electronic device of each category of geometric motions (not a picture of every transformation etc.), an example from one of each of the following categories:

  14. Transformation • Symmetry • Tesserllation

  15. Step 2: Place each picture in a Word Document. • IDENTIFY type of transformation • INSERT “line of reflection” for symmetries • Clarify if reflection or rotation symmetry or both • IDENTIFY vertex of tessellation

  16. Submit to your instructor as an attached word document, see below. • Print a black and white copy, attach it to THIS handout and place in your portfolio.

  17. Submit electronically to Connie McLean at:mcleanc@bhc.edu

  18. Subject line: Math 200 and you and your partner’s full names. • SAVE AS last name-last name • Both partners should not submit, just copy your partner so they have evidence that it was sent before deadline.

  19. Translation- slide

  20. Rotational Symmetry

  21. Line of symmetry

  22. Symmetry

  23. Rotation

  24. Rotational Symmetry

  25. Rotational symmetry (or is it)

  26. Symmetry Symmetry Ignoring the color this figure has three lines of symmetry, and also has rotational symmetry if it rotates either way 120

  27. Glide Reflection

  28. Tessellation

  29. Tessellation

  30. Tessellation with regular hexagons

  31. Tessellations With circles

  32. Tessellation-seat cushion

  33. Transformations

  34. Tessellations

  35. Traffic signs

  36. Connie McLean Black Hawk College Moline, Illinois mcleanc@bhc.edu

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