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Filter paper parts of a circle: fold to find… 2 diagonals -> center a cord radii a semicircle an arc smaller than a semicircle 5-minute hands-on activity

Polyhedron Circle Exploration Find the center without forming diagonals. Fold a point to the center… Fold a vertex to the center… Create polyhedra… Compare areas of figures as you go. 20-30-minute hands-on activity I like to use a jumbo circle for the demo.

A Dodecahedron Construction Uses 12 regular pentagons

Cut out 12 template pieces and attach with glue or staples.

attach a piece of thread to one protruding piece. If you want to hang your dodecahedron, attach a piece of thread to one protruding piece.

Questions: How many pentagons meet at each vertex? How many pentagonal faces are there? How many vertices are there? How many edges are there?

Dodecahedron Hints:  You may find it easiest to check your alignment by watching the inside of the figure as you glue.  You may wish to assemble one half of the dodecahedron (6 faces) first, then the other half, and then connect the two together.  Too much or too little glue won’t hold. You’ll need to use trial-and-error to find the right amount. Perhaps a toothpick or paper “spatula” would be helpful.