For the first shape, I started out with the Platonic solid – Tetrahedron.
When truncated, it became the Archimedean solid – Truncated Tetrahedron.
For the second shape, I went with the Platonic Solid – Octahedron.
When truncated, it became the Archimedean Solid – Truncated Octahedron
This would be a nice continuation of the Learning Activity 7-B-1. After going over nets, vertices, faces, edges, and Euler’s Formula, Archimedean Solids are a natural progression when introducing the process of truncating a Platonic Solid. If you used the same shapes from the previous activity, they can compare and contrast the nets of Platonic and Archimedean Solids. After constucting the solids, again compare and contrast the 3-dimensional objects.
I do think the students will enjoy this activity. The ones that enjoy the art side of mathematics will be especially drawn to it. Some may get frustrated cutting, folding, and assembling, but with peer help they should be able at acheive this ok. For the students with learning disabilities, they can stick with the basic solids like the Cube and Tetrahedron. They also might benefit by working with a partner. The gifted/talented students can can assemble a more detailed Archimedean Solid like the Dodecahedron or the Icosahedron.