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

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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.

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

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Translations - SLIDE 4 Slide vector

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Reflection - Flip 5 Flip over line of symmetry

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Rotation - turn 6 Rotate about the turn center

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Glide Reflection 7 Translation and rotation

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Dilation 8 Demonstrates Similarity

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Symmetry 9 Line of Reflection

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Tessellations 10 Filling the plane with repetitions of congruent figures

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Soumaya Museum in Mexico City

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Student Examples Smartphone activity 12

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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:

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14 Transformation Symmetry Tesserllation

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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

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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.

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17 Submit electronically to Connie McLean at:

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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.

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Translation- slide 19

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Rotational Symmetry 20

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Line of symmetry 21

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Symmetry 22

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Rotation 23

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Rotational Symmetry 24

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Rotational symmetry (or is it) 25

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

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Glide Reflection 27

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Tessellation 28

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Tessellation 29

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Tessellation with regular hexagons 30

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Tessellations 31 With circles

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Tessellation-seat cushion 32

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Transformations 33

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Tessellations 34

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Traffic signs 35

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Black Hawk College Moline, Illinois Connie McLean 36

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