Geometry SummaryMonday  Friday, July 4  8, 2005Tuesday, July 5, 2005 Ginny, David, Judy, Kelly, Josue, and Melissa are working on lessons concerning similarity and changes of scale, and how these affect surface area and volume. Darryl Yong (from Harvey Mudd) has joined our working group, and has taken to working with Mike, Theresa and Jim in their study of 3dimensional solids. We have a feeling that Darryl's addition will cause quite an uproar in the group! Wednesday, July 6, 2005 Judy and David completed their rough draft/outline of their part of the largersimilarity project. They are going to work on incorporating some of the principles of the 11 o'clock hour to make their lesson more "open." Josue and Melissa continued to work on and to learn how to use Cabri 3D. They have been working of making 3dimensional models of the Cuisenaire rods. Thursday, July 7 2005 We started out with Steve extending his five minute short by leading the group in a construction of a tetrahedron using Cabri 3D. The focus was on how the thought processes of constructing things in three dimensions is very different from those in two dimensions. Mike, Theresa, Darryl and Jim continue to have too much fun. They are focused on three polyhedra that are constructed with equilateral triangles: A tetrahedron, an octahedron, and a hexahedron. They are working to construct an algorithm that can be used to determine which nets can be folded up into these polyhedra. Some of the questions they are exploring are:
Ginny and Kelly have turned in some preliminary resources. They have constructed TASK CARDS that lead students in a simple open investigation of how changed in scale change the surface area and volume. They are using Cuisenaire rods to drive their investigations. Their task cards are designed to foster cooperative skills. Melissa and Josue are working on a student introduction to Cabri 3D that will lead students to build Cuisenaire models. They have learned to use the software by building the very same shapes, so they are getting their "learning" down on paper so students will benefit. David is working on vocabulary and teacher notes for the unit. Judy is working on revising their activities from their rough draft. Judy also found http://www.printfreegraphpaper.com and http://www.mathematicshelpcentral.com to be a good resources for getting graph paper for their project. Friday, July 08, 2005 Today we presented our rough drafts of their projects. Jim's glasses broke today, so he is wearing his prescription sunglasses during the presentations. He looks like a movie star. The first group is using Cuisenaire rods to study changes of scale, surface area, and volume.
The second group is studying nets.
