The two platonic solids I started out with were a cube and a tetrahedron.







As a result of truncating the cube, there were 8 equilateral triangles and 6 regular octagons.  14 Faces + 24 Vertices – 2 = 36 Edges








As a result of truncating the tetrahedron, there were 4 equilateral triangles and 4 regular hexagons.  8 Faces +  12 Vertices  – 2 = 18 Edges








I think my students would enjoy creating the Archimedean Solids;  anything that’s hands-on is usually enjoyable.  Truncating the solids, on the other hand, would be a bit more challenging, for some.  Since both grade levels would have prior knowledge of 2-D & 3-D figures, I would definitely have them create all of the Archimedean Solids, so they could analyze the characteristics of each.  Additionally,  I would have them truncate the cube, only, so they can describe the transformation and make predictions about the faces, edges and vertices.  Since many of my students are avid soccer fans, I would use the dodecahedron as a model during my anticipatory set, and display all of the solids on the bulletin board, after the lesson is completed.