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. Translation and rotation
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 Museum in 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