Geometry for middle school teachers

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Archimedean Solids

I started with the Platonic solid - Tetrahedron.  When truncated it became an Archimedean solid - truncated tetrahedron.  

The tetrahedron is composed of 4 equilateral triangles.  When truncated those triangles became 4 congruent hexagons and 4 new congruent, equilateral triangles were formed.

Archimedean Solids 002 

The second shape I started with was the Platonic Solid – Cube.  When truncated it became the Archimedean Solid – truncated cube.

The cube is composed of 6 congruent squares.  When truncated those 6 squares became 6 congruent octagons and 8 new congruent, equilateral triangles were formed.

Archimedean Solids 001

Middle school students can perform this task just as I did.  I would enlarge the templates so that they do not have to work with such small figures, but overall, I think that they could manage just fine. 

Most students will enjoy this activity.  You can allow them to decorate their solids as they wish.  Some students might get frustrated folding and cutting straight lines, but I’m certain that other students will be willing to offer a helping hand to those in need.  Any time that we can get away from book work and incorporate manipulatives in our classrooms, we will be more likely to captivate the attention of our students. 

 

October 31, 2009 - Posted by | Uncategorized

1 Comment »

  1. I agree Angela that just about anytime the students are not having to stick their nose in a book they tend to be more interested in the lesson.(Or listen to us babble on endlessly.) I agree about the small size as well. I think by creating the shapes and decorating the students may build an appreciation for the beauty of the shape that perhaps did not exist before understanding better the complexity that goes into its creation.

    Comment by Anna Schoenberg | November 2, 2009 | Reply


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