1. TRANSFORMATIONS, TESSELLATIONS & SMARTPHONES AMATYC Friday, November 1,2013

2. Common Core State Standards for Mathematics 2  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 3  Rigid Motions that demonstrate congruency:  1.Translation  2. Reflection  3. Rotation  4. Glide reflection

4. Translations - SLIDE 4 Slide vector

5. Reflection - Flip 5 Flip over line of symmetry

6. Rotation - turn 6 Rotate about the turn center

7. Glide Reflection 7 Translation and rotation

8. Dilation 8 Demonstrates Similarity

9. Symmetry 9 Line of Reflection

10. Tessellations 10 Filling the plane with repetitions of congruent figures

11. Soumaya Museum in Mexico City

12. Student Examples Smartphone activity 12

13. STEP 1: Take 3 pictures 13  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. 14  Transformation  Symmetry  Tesserllation

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

16. 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. 17 Submit electronically to Connie McLean at: mcleanc@bhc.edu mcleanc@bhc.edu

18. 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 19

20. Rotational Symmetry 20

21. Line of symmetry 21

22. Symmetry 22

23. Rotation 23

24. Rotational Symmetry 24

25. Rotational symmetry (or is it) 25

26. Symmetry 26 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 27

28. Tessellation 28

29. Tessellation 29

30. Tessellation with regular hexagons 30

31. Tessellations 31 With circles

32. Tessellation-seat cushion 32

33. Transformations 33

34. Tessellations 34

35. Traffic signs 35

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