Investigating Geometry Summary

Monday - Friday, July 16 - 20, 2012

Wow! None of us can believe that this awesome PCMI experience is coming to an end. This week we have been busy, busy, busy. We've all been working hard on finishing up our projects, typing up abstracts, working on presenting our projects to the whole group on Friday, and getting all our documents ready to send on to Suzanne.

Here is a list of our projects:

Transformation Rumble! is a board game where students transform polygons in a fun way. The game is quite addicting!

Tangramzzzzz is a one week exploration unit that uses tangram shapes on a coordinate grid to investigate the effects of dilation factors on coordinate points, side length, and areas. Who doesn't love tangrams!

Using Transformations to derive the formulas for Axis of Symmetry of Parabalas is a GSP project for kids to conjecture and observe how changes made to the equation result in transformations on the graph. What a great way to investigate the general formula for the axis of symmetry!

Linear Functions and Geometric Transformations on the Number Plane is another GSP project. The students will investigate the transformations which map a free point M(x,y) on to the number plane to a point M'(x',y'), where x'=f(x) and/or y'=g(y) with some given linear function f(x) and g(x). Dynamic Geometry Software is such a great visual way to make those algebraic and geometric connections!

Transformations and Shape Properties is a project which provides a week worth of lesson activities that leads students through the discovery of the properties of multiple figures through transformations. Rich class discussions will be had be all throughout this project!

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IAS/Park City Mathematics Institute is an outreach program of the Institute for Advanced Study, 1 Einstein Drive, Princeton, NJ 08540
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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.