Park City Mathematics Institute
Secondary School Teacher Program

Reflection on Practice Class: Day 13
Akihiko Takahashi

Aki showed us a chapter of a Japanese 5th grade textbook which he and a colleague are translating into English. This three-week chapter dealt with the development of the area formulas for quadrilaterals and triangles. As he showed us the pages, he pointed out the frequent use of open-ended questions.

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View Day 13 or download (PowerPoint file)

We spent the rest of the hour in groups finishing our problems.

Problems from each table (PDF and GSP files):

Table 1: What Is the Sum of the Angles?
Table 2: What's the Plot?
Table 3A: What's My Four-tune?
Table 3B: What's My Four-tune? (Table 3) || GSP file
Table 4: Surfin' and Searchin' || GSP file
Table 5: Grazing Gertie Problem
Table 6: Quadratic Relationships: Correct and Connect!
Table 7: How Can We Change the Shoebox to Double the Volume?
Table 8: How Many Triangles Are in This Triangle?
Table 9: Probability and Area
Table 10: Find the Total Number of Toothpicks
Table 11: Generating Equations
Table 12: What's Happening?

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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.