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Gr 4–8 · 2 periods

Sculpt a solid of your own

Start from a box and drag its corners, push its faces and add blocks to turn it into a creature, a building or a gem, then print the net FoldNets works out.

Ontario Gr 4–8 · Spatial Sense E1

Learning goals

  • Design an original polyhedron
  • See how a net changes as the solid changes, and why some nets split into pieces
  • Plan and build a model from its own net

Plan

  1. 1

    Show and tell10 minYou lead

    In Free-form, show how dragging a corner or pushing out a face changes the solid, and how the net re-unfolds every time.

  2. 2

    Sketch10 minStudents

    Students sketch what they want to make: an animal, a house, a spaceship, a gem.

  3. 3

    Sculpt30 minStudents

    Students sculpt their design. Keep it simple at first: a few big moves fold better than many tiny ones.

  4. 4

    Print and build30 minStudents

    Print the net, and print a second copy of it to display with the model. If it split into pieces, the matching letters on the cut edges show which pieces join. A dent in the solid makes a fold back: its line has a different dash, and that fold goes the other way.

  5. 5

    Gallery10 minYou lead

    Display each model beside its second copy of the net. Can classmates match each net to its model?

To talk about

  • Why did some nets split into more than one piece?
  • How many faces, edges and vertices does your solid have? Does Euler's formula still work? Try it with a block on and off.