transformations, tessellations & smartphones

TRANSFORMATIONS, TESSELLATIONS & SMARTPHONES

AMATYCFriday, November 1,2013

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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.

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Four transformations

Rigid Motions that demonstrate congruency:

1.Translation 2. Reflection 3. Rotation 4. Glide reflection

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Translations - SLIDE

Slide vector

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Reflection - Flip

Flip over line of symmetry

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Rotation - turn

Rotate about the turn center

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Glide Reflection

Translation and

rotation

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Dilation

Demonstrates Similarity

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Symmetry

Line of Reflection

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Tessel

lations

Filling th

e plane with re

petitions

of co

ngruent figure

s

Soumaya Museumin Mexico City

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Student Examples

Smartphone activity

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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:

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TransformationSymmetryTesserllation

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Step 2: Place each picture in a Word Document.

IDENTIFY type of transformation

INSERT “line of reflection” for symmetriesClarify if reflection or rotation symmetry or both

IDENTIFY vertex of tessellation

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

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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

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Rotational Symmetry

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Line of symmetry

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Symmetry

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Rotation

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Rotational Symmetry

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Rotational symmetry (or is it)

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Symmetry

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

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Tessellation

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Tessellation

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Tessellation with regular hexagons

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Tessellations

With circles

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Tessellation-seat cushion

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Transformations

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Tessellations

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Traffic signs

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Black Hawk CollegeMoline, Illinois

mcleanc@bhc.edu

Connie McLean