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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.

1 cent - $1 per group Ages 8 - 11 1 to 2 hours
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Players take turns adding shapes made of three squares to a grid. They try to fit their shapes on the grid in a way that blocks the other player.

free Ages 4 - 14 10 to 30 minutes
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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.

1 cent - $1 per student Ages 6 - 11 45 to 60 minutes
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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).

1 cent - $1 per student Ages 4 - adult 45 to 60 minutes
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In this four-day lesson, learners identify three-dimensional forms in castle design, research different parts of the castle with a focus on their uses, and design and enlarge a banner for the great ha

$5 - $10 per group Ages 8 - 11 1 to 7 days
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In this hands-on activity, learners make New Year's Eve party hats out of wrapping paper. Learners use symmetry and measurement to cut out shapes they need to assemble the hats.

$1 - $5 per student Ages 8 - 14 10 to 30 minutes
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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.

1 cent - $1 per group Ages 8 - 18 10 to 30 minutes
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In this activity, learners explore geometry and spatial relationships as they figure out how to arrange tables for a party.

1 cent - $1 per group Ages 8 - 11 10 to 30 minutes
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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.

1 cent - $1 per group Ages 4 - 14 5 to 10 minutes
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In this activity, learners repeat patterns in two and three dimensions to create tessellations.

$1 - $5 per group Ages 8 - 11 1 to 2 hours
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In this activity, learners use cooperation and logical thinking to find solutions to network problems on the playground.

1 cent - $1 per group Ages 8 - 14 10 to 30 minutes
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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.

1 cent - $1 per student Ages 4 - adult 45 to 60 minutes
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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!

1 cent - $1 per student Ages 8 - adult 10 to 30 minutes
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In this math activity, learners build Peppy the dog the best trail and park for running around.

1 cent - $1 per group Ages 8 - 11 10 to 30 minutes
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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.

free Ages 8 - 11 10 to 30 minutes
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In this activity, learners make a device called a phenakistoscope, which displays a continuously looping animation consisting of images drawn onto a spinning disc.

$1 - $5 per student Ages 6 - 14 30 to 45 minutes
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As learners play this challenging strategy game, they build understanding of area and perimeter. On each turn, a player draws a line between two dots next to each other on the grid.

free Ages 8 - 14 10 to 30 minutes
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This strategy game has simple rules but can be a challenge. Players start with an empty hexagonal grid. On each turn, a player initials one empty hexagon on the grid.

free Ages 8 - 14 10 to 30 minutes
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As learners play this game, they develop logic, geometry, and spatial visualization skills. Players start out with an empty hexagonal grid.

free Ages 4 - 11 10 to 30 minutes
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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.

1 cent - $1 per group Ages 8 - 11 10 to 30 minutes