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

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.

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

Translations - SLIDE 4 Slide vector

Reflection - Flip 5 Flip over line of symmetry

Rotation - turn 6 Rotate about the turn center

Glide Reflection 7 Translation and rotation

Dilation 8 Demonstrates Similarity

Symmetry 9 Line of Reflection

Tessellations 10 Filling the plane with repetitions of congruent figures

Soumaya Museum in Mexico City

Student Examples Smartphone activity 12

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  Transformation  Symmetry  Tesserllation

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  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:

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.

Translation- slide 19

Rotational Symmetry 20

Line of symmetry 21

Symmetry 22

Rotation 23

Rotational Symmetry 24

Rotational symmetry (or is it) 25

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

Glide Reflection 27

Tessellation 28

Tessellation 29

Tessellation with regular hexagons 30

Tessellations 31 With circles

Tessellation-seat cushion 32

Transformations 33

Tessellations 34

Traffic signs 35

Black Hawk College Moline, Illinois Connie McLean 36