
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 threeweek 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 openended questions.
Click on image to view larger version.
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 Fourtune?
Table 3B: What's My Fourtune? (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?
Back to: Class Notes
PCMI@MathForum Home  IAS/PCMI Home

© 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

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.
