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TRANSFORMATIONS, TESSELLATIONS & SMARTPHONES AMATYC Friday, November 1,2013 Slide 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. Slide 3 Four transformations 3 Rigid Motions that demonstrate congruency: 1.Translation 2. Reflection 3. Rotation 4. Glide reflection Slide 4 Translations - SLIDE 4 Slide vector Slide 5 Reflection - Flip 5 Flip over line of symmetry Slide 6 Rotation - turn 6 Rotate about the turn center Slide 7 Glide Reflection 7 Translation and rotation Slide 8 Dilation 8 Demonstrates Similarity Slide 9 Symmetry 9 Line of Reflection Slide 10 Tessellations 10 Filling the plane with repetitions of congruent figures Slide 11 Soumaya Museum in Mexico City Slide 12 Student Examples Smartphone activity 12 Slide 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: Slide 14 14 Transformation Symmetry Tesserllation Slide 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 Slide 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. Slide 17 17 Submit electronically to Connie McLean at: mcleanc@bhc.edu mcleanc@bhc.edu Slide 18 18 Subject line: Math 200 and you and your partners 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. Slide 19 Translation- slide 19 Slide 20 Rotational Symmetry 20 Slide 21 Line of symmetry 21 Slide 22 Symmetry 22 Slide 23 Rotation 23 Slide 24 Rotational Symmetry 24 Slide 25 Rotational symmetry (or is it) 25 Slide 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 Slide 27 Glide Reflection 27 Slide 28 Tessellation 28 Slide 29 Tessellation 29 Slide 30 Tessellation with regular hexagons 30 Slide 31 Tessellations 31 With circles Slide 32 Tessellation-seat cushion 32 Slide 33 Transformations 33 Slide 34 Tessellations 34 Slide 35 Traffic signs 35 Slide 36 Black Hawk College Moline, Illinois mcleanc@bhc.edu Connie McLean 36