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

Translation and rotation Glide Reflection Translation and rotation

Dilation Demonstrates Similarity

Symmetry Line of Reflection

Tessellations Filling the plane with repetitions of congruent figures

Soumaya Museum in Mexico City

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.

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

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

Rotational Symmetry

Line of symmetry

Symmetry

Rotation

Rotational Symmetry

Rotational symmetry (or is it)

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

Glide Reflection

Tessellation

Tessellation

Tessellation with regular hexagons

Tessellations With circles

Tessellation-seat cushion

Transformations

Tessellations

Traffic signs

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