Upload
rumer
View
43
Download
1
Tags:
Embed Size (px)
DESCRIPTION
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 - PowerPoint PPT Presentation
Citation preview
TRANSFORMATIONS, TESSELLATIONS & SMARTPHONES
AMATYCFriday, November 1,2013
2
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.
3
Four transformations
Rigid Motions that demonstrate congruency:
1.Translation 2. Reflection 3. Rotation 4. Glide reflection
4
Translations - SLIDE
Slide vector
5
Reflection - Flip
Flip over line of symmetry
6
Rotation - turn
Rotate about the turn center
7
Glide Reflection
Translation and
rotation
8
Dilation
Demonstrates Similarity
9
Symmetry
Line of Reflection
10
Tessel
lations
Filling th
e plane with re
petitions
of co
ngruent figure
s
Soumaya Museumin Mexico City
12
Student Examples
Smartphone activity
13
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:
14
TransformationSymmetryTesserllation
15
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
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.
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.
19
Translation- slide
20
Rotational Symmetry
21
Line of symmetry
22
Symmetry
23
Rotation
24
Rotational Symmetry
25
Rotational symmetry (or is it)
26
Symmetry
Symmetry Ignoring the color this figure has three lines of symmetry, and also has rotational symmetry if it rotates either way 120
27
Glide Reflection
28
Tessellation
29
Tessellation
30
Tessellation with regular hexagons
31
Tessellations
With circles
32
Tessellation-seat cushion
33
Transformations
34
Tessellations
35
Traffic signs