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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.

Geometry: Let's Face It
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In this math lesson, learners identify, describe, and construct the five regular polyhedra.

Geometry: Tiling the Plaza
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In this math lesson, learners arrange pattern blocks to create tessellations and to explore geometric patterns. Learners first explore making patterns with a variety of pattern blocks.

Dicey Directions
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In this game, learners are stuck in a right turn only world! Learners take turns rolling a die and moving their game pieces along the lines of a grid to get "home," by only making right turns.

String Shapes
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In this activity, learners work together to make polygons (many-sided shapes) with string. Learners sit on the floor and hold onto a piece of string slid between their thumbs and index fingers.

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.

Making a Translation Tessellation
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In this activity, learners slide shapes to create unusual tiled patterns.

Geometry and Spatial Relations: It's a Perfect Fit
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In this three-part math activity, learners explore shapes. In part one, learners identify, describe, and classify two-dimensional shapes.

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.

Exploring Tessellations (Grades K-2)
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In this activity, learners repeat patterns in two and three dimensions to create tessellations. This activity combines the creativity of an art project with the challenge of solving a puzzle.

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.

Reflections
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In this activity, learners play a game and use pattern blocks to explore mirror images and reflection.
The Right Fit
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In this math activity, learners trace their hands and estimate the number of beans that can fit into their hand tracings. Then, learners glue the beans to the tracing to test out their estimations.
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.

Hand Biometrics Technology
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In this activity, learners explore how engineers incorporate biometric technologies into products as well as the challenges of engineers who must weigh privacy, security and other issues when designin

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.

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.

Toothpick Patterns
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In this hands-on activity, learners use toothpicks to build different triangles and squares and then use the toothpicks to build and solve some tricky shape puzzles.