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Transformations, Tessellations & Smartphones. AMATYC Friday, November 1,2013. Common Core State Standards for Mathematics. Ask students to: Experiment with transformations in the plane Understand congruence in terms of rigid motions
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Transformations, Tessellations & Smartphones AMATYC Friday, November 1,2013
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.
Four transformations • Rigid Motions that demonstrate congruency: • 1.Translation • 2. Reflection • 3. Rotation • 4. Glide reflection
Translations - SLIDE Slide vector
Reflection - Flip Flip over line of symmetry
Rotation - turn Rotate about the turn center
Glide Reflection Translation and rotation
Dilation Demonstrates Similarity
Symmetry Line of Reflection
Tessellations Filling the plane with repetitions of congruent figures
Smartphone activity Student Examples
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:
Transformation • Symmetry • Tesserllation
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
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.
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.
Symmetry Symmetry Ignoring the color this figure has three lines of symmetry, and also has rotational symmetry if it rotates either way 120
Tessellations With circles
Connie McLean Black Hawk College Moline, Illinois mcleanc@bhc.edu