TESSELLATIONS
Stacie D. Wight
EDIM 508
Instructional Purpose:
This PowerPoint will be used as an independent learning
center for 6th grade math students. Students will be
expected to navigate through the PowerPoint by using
the table of contents and completing all of the included
activities. While completing this learning center
students will explore the biographies of well known
artists that have contributed tessellations to the art and
computer world. In addition, students will be able to
create their own tessellations using the computer as well
as follow directions to make one using paper and pencil.
PENNSYLVANIA STATE STANDARDS
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PA State Standard 2.5.8 A
Invent, select, use and justify the appropriate methods, materials
and strategies to solve problems.
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PA State Standard 2.9.8 C
Classify familiar polygons as regular or irregular up to a decagon.
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PA State Standard 2.9.8 H
Use simple geometric figures (e.g., triangles, squares) to create,
through rotation, transformational figures in three dimensions.
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PA State Standard 2.9.8 I
Generate transformations using computer software.
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PA State Standard 2.9.8 J
Analyze geometric patterns (e.g., tessellations, sequences of shapes)
and develop descriptions of the patterns.
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PA State Standard 2.9.8 K
Analyze objects to determine whether they illustrate tessellations,
symmetry, congruence, similarity and scale.
LET’S GET STARTED!
1. M.C. Escher
2. Hans Kuiper
3. Tessellations Around Us
4. Tessellation Creation
5. Back to Basics with Tessellations
FINISHED
M.C. ESCHER
Let’s read about one of the most famous irregular tessellation artists.
Please follow the following links to watch video about M.C. Escher
and how his artistic career began.
Brief Biography
Watch the video clip entitled “Studying Graphic Arts.”
Examples of Escher’s Work
Watch the video clip entitled “Geometric Shapes of Form
and Counterform.”
Picture Gallery
Visit the “Picture Gallery” found at the link above. Try to
spend just a few minutes viewing the different works
Escher created over his entire artistic career.
HOME
HANS KUIPER
Hans Kuiper created tessellation software for computers. Through
his software creation he has been able to create many different types
of tessellations. Below are a variety of tessellations Kuiper created
using his computer software.
HOME
TESSELLATIONS AROUND US
If you look around your home and classroom, you will be able to find
tessellations everywhere. Watch the video clips below and look at the
following images of tessellations in our environment and try to think of
additional everyday tessellations.
Video:
Tessellation Overview
Make sure you understand what makes a tessellation regular and
irregular.
Importance and Uses of Tessellations
Images:
Tessellation Review and Images
Read through the descriptions of tessellations at the beginning and then
view the three pictures of tessellations in nature.
In your math journal, make a list of five tessellations you see almost
everyday and where you see them. Tell me if they are regular or
irregular.
HOME
TESSELLATION CREATION
Now it is time for you to create your own unique tessellation. Follow
the directions to create your own tessellation using the computer.
Freeform or Irregular Tessellation Directions
Make sure you follow each direction carefully. If you get stuck use the
help links on the website. Take pride in your work and create a
tessellation you will be proud to display for our Tessellation Gallery
opening.
HOME
BACK TO BASICS WITH TESSELLATIONS
Before you watch the video clip below, make sure you have your
learning center supply packet.
We have seen that tessellations have been created by artists using
woodcuts, on the computer, and can be found naturally in nature.
Now that you have had the opportunity to create a tessellation on the
computer, you will create one using paper and pencil. Take your
time and finish your tessellation for homework.
Follow the link below to watch the step-by-step creation of a stencil
that can be used to make an irregular tessellation. Pause the movie
when instructed in order to follow the directions. Feel free to rewatch the video if you get stuck.
Tessellation Stencil Creator
HOME
WRAP IT UP
Before we finish, make sure you have completed all of the
assignments.
- Math Journal Entry
- Computer-created Tessellation
- Paper/Pencil Tessellation
Listen to the following learning center summary for directions on
your final activity. Make sure you direct any questions immediately
to Miss Wight.
Click the Speaker!
CITATIONS
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(2009). Discovery Education. In M.C. Escher: Master of Graphic Arts. Retrieved November 4, 2009, from
http://player.discoveryeducation.com/index.cfm?guidAssetId=6B2CCC5A-4A60-4847-BC66-66A43006F0E1.
(2009). Discovery Education. In Math All Around Us: Tessellation Time. Retrieved November 4, 2009, from
http://player.discoveryeducation.com/index.cfm?guidAssetId=1AE644B7-F297-42B1-BD85-0E4A5C9D0354.
(2009). Discovery Education. In Importance and Uses of Tessellations. Retrieved November 4, 2009, from
http://player.discoveryeducation.com/index.cfm?guidAssetId=C91F3D33-7615-4985-B30E-FB4F1B3940FC.
(2009). Fractals & Tessellations. In Tessellations. Retrieved November 4, 2009, from
http://aziarts.com/AIR/Tesselations.html.
(2009). Discovery Education. In How to Create a Tessellating Template. Retrieved November 4, 2009, from
http://player.discoveryeducation.com/index.cfm?guidAssetId=C91F3D33-7615-4985-B30E-FB4F1B3940FC.
(1994). Pineapple. In Shodor. Retrieved November 4, 2009, from
http://www.shodor.org/interactivate1.9/discussions/images/pineapple.jpg. Tessellations. Retrieved Nov 4 2009 from
http://aziarts.com/AIR/Tesselations.html
dhydorn. (October 14, 2009). EscherMath Fall 2009. In EscherMath Fall 2009. Retrieved November 4, 2009, from
http://eschermathfall2009.umwblogs.org/.
Kuiper, Hans. Computer Art by Hans Kuiper 17 Wall Paper Symmetry Groups to Create a Regular Division of the
Plane. In Computer Art by Hans Kuiper. Retrieved November 4, 2009, from
http://web.inter.nl.net/hcc/Hans.Kuiper/17system.htm.
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Roberts, Carolyn. Tessellation-Art. In Tessellation Lesson. Retrieved November 4, 2009, from
http://www.carolynrobertsart.com/tessellation.html.
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Creating A Freeform Tessellation. In Creating a Freeform Tessellation Using Microsoft Paint. Retrieved November 4,
2009, from http://www.teachers.ash.org.au/geparker/creating_a_freeform_tessellation_using_microsoft_paintbrush.htm.
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The Official M.C. Escher Website. In Picture Gallery. Retrieved November 4, 2009, from http://www.mcescher.com/.