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Math Alliance March 1, 2010
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What Are Tessellations? Write a definition on a notecard Draw a picture that represents your definition Definition: Shapes or combinations of shapes that can be put together without overlapping to completely cover the plane.
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Which Figures Tessellate the Plane? Description of TileTessellate? Yes/No Why? (Conjecture)
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Regular Polygons Regular Tessellation: A tessellation formed by (copies of) a single regular polygon. Which regular tessellations can you make? Are these all of the regular tessellations? Why or why not?
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Combinations of Regular Polygons Semiregular Tessellation: A tessellation formed by two or more regular polygons with the same arrangement of polygons at every vertex. Which patterns can you make? Why do these work?
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Interactive Demonstrations http://nrich.maths.org/content/id/4832/polygons.swf
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Real-World Examples
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Homework Section 11.2: #’s 1, 2, 6, 8, 12, 17, 23, 29, 35, 47, 50, 52a We will collect #’s: 6, 17, 35, 47, 50 Good Websites to check-out: http://library.thinkquest.org/16661/simple.of.regular.polygons/semiregular.1.html http://nrich.maths.org/4832
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