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Park City Mathematics Institute 2012
Course Notes
Bowen Kerins and Darryl Yong
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Moving Things Around: Card Shuffles, Repeating Decimals and Geometric Transformations
Common Core puts emphasis on geometry through rigid motions and dilations. What are the isometries that carry an equilateral triangle to itself? A square? A cube? A polygon or polyhedron? This course will start from scratch, investigating such questions and showing how the geometry of polygons is connected to the algebra of the transformations that preserve that geometry.
NOTE: As you select any of the links listed above, they will download as PDF files. To open PDF files use Adobe Acrobat Reader, available free from Adobe:
PCMI@MathForum Home || IAS/PCMI Home
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© 2001 - 2013 Park City Mathematics Institute
IAS/Park City Mathematics Institute is an outreach program of the School of Mathematics
at the Institute for Advanced Study, Einstein Drive, Princeton, NJ 08540
Send questions or comments to: Suzanne Alejandre and Jim King
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With program support provided by Math for America
This material is based upon work supported by the National Science Foundation under Grant No. 0314808.
Any opinions, findings, and conclusions or recommendations expressed
in this material are those of the author(s) and do not necessarily reflect
the views of the National Science Foundation.
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