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Next week, a workshop about the cross sections of solids will be held in our school, for 7th grade students. These are what we've decided to include in the workshop:

  • Showing "Flatlad: The Movie"
  • Giving the students cubic pieces of polystyrene and asking them to make polygon cross sections with given number of sides.

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  • Asking the students to construct given solids, using their cross sections by sheets of thin foam board.
  • Talking about 3D-Printers and showing clips about them.

What other things can be included in our workshop? Do you have any suggestions?

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    $\begingroup$ The regular hexagon cross section of a cube is especially pleasing to see. $\endgroup$ – Joseph O'Rourke Mar 6 '15 at 12:36
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Conic sections would seem appropriate if you're looking to motivate some of the algebra that is on the horizon for your 7th grade students.

Image from [Tutorvista.com](http://math.tutorvista.com/geometry/cross-section.html)

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Although this has nothing to do with cross sections, it fits the physical materials:

You could have the students cut out shapes to illustrate constructive proofs of the Pythagorean theorem:


enter image description here
enter image description here
                      (Images from a Steven Strogatz NYTimes article.)
Another constructive proof is described in this MESE answer.

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