Park City Mathematics Institute
Geometrical Concepts from Constructions, Models, and Investigations
Paper Cup Mathematics
Jerry Neidenbach, Sue Harvey and Marilyn McArthur
Increase students' understanding of the properties of annuli through an exploration focusing on the area and dimensions of annuli traced out by rolling various sized cups on a flat surface.
The exploration focuses on the following questions:
- Does a cup really trace out an annulus? How can you tell?
- How does the size of the cup affect the size of the annulus?
- How might you use the dimensions of the cup to determine its associated annulus without tracing it out and measuring it directly?
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This material is based upon work supported by the National Science Foundation under DMS-0940733 and DMS-1441467. 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.