Park City Mathematics Institute 2012
Bowen Kerins and Darryl Yong
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
© 2001 - 2014 Park City Mathematics Institute
IAS/Park City Mathematics Institute is an outreach program of the Institute for Advanced Study, 1 Einstein Drive, Princeton, NJ 08540.
Send questions or comments to: Suzanne Alejandre and Jim King
With program support provided by Math for America
This material is based upon work supported by the National Science Foundation under Grant No. 0314808 and Grant No. ESI-0554309. 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.