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The Boxes Go Mobile
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Learners display their findings after a study of surface area and volume. They build a mobile to show a commercially available box and a constructed cubical box of the same volume.

Geometry and Spatial Relations: Mirror, Mirror
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In this math lesson, learners use hinged mirrors to discover that regular polygons are composed of triangles tessellating around a center point.

Canine House of Cards
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This simple construction activity teaches the importance of architectural structure. Learners build and test designs for a paper "doghouse" strong enough to hold the weight of a jumbo dog biscuit.

Twisted Tesselations
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In this activity (on pages 41-47 of PDF), learners explore tesselating geometric patterns (repeated shapes, similar to the art of M.C. Escher).

Exploring a Complex Space-Filling Shape
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In this activity, learners build a paper stellated rhombic dodecahedron, a three-dimensional 12-pointed star.

Crazy Shapes
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In this activity, learners cut a shape into two equal sized pieces and use their knowledge of geometry and space to prove that the two parts are equal.

Scaling Cubes
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In this activity, learners explore scale by using building cubes to see how changing the length, width, and height of a three-dimensional object affects its surface area and its volume.

Reflections
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In this activity, learners play a game and use pattern blocks to explore mirror images and reflection.

The Shadow Knows II
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In this activity, learners will measure the length of a shadow and use the distance from the equator to calculate the circumference of the earth.

Turning the Tables
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In this activity, learners explore geometry and spatial relationships as they figure out how to arrange tables for a party.
Six Squares: Geometry and Design
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In this activity, learners take a turn contributing a closed figure made of six squares to a large grid; each must be different from all the others on the grid so far.

Solving Playground Network Problems
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In this activity, learners use cooperation and logical thinking to find solutions to network problems on the playground.

Tricky Tangrams
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In this activity (on pages 49-54 of PDF), learners play with tangrams, a set of triangles, squares and a parallelogram that can combine into a larger square as well as all sorts of other shapes.
Dowels and Rubber Bands I
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If you have 3-foot dowels and rubber bands, you can can started on this fun and open design challenge. You can make structures big and small: make it so you can fit your parent into it!
Peppy's Day in the Park
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In this math activity, learners build Peppy the dog the best trail and park for running around.

Symmetry Fold-Overs
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In this math activity, learners experiment with the concept of symmetry.

Exploring Tessellations (Grades 6-8)
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In this activity, learners design unique tiles and make repeating patterns to create tessellations. This activity combines the creativity of an art project with the challenge of solving a puzzle.

New Boxes from Old
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Learners determine the surface area and volume of two identical boxes, and then figure out the dimensions of a cubical box with the same volume.

Copy Cats
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In this math activity, learners use what they know about shapes to copy a friend's hidden picture. Learners create a design out of pattern blocks and then hide their picture behind a screen.

The Four-Square Quilt
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In this activity, learners arrange triangles together to make patterns to create paper quilts. Learners experiment with arranging the triangles in different ways to make various designs.