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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.

1 cent - $1 per student Ages 11 - 14 1 to 2 hours
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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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In this activity, learners walk the sides and interior angles of various polygons drawn on the playground. As they do so, learners practice rotating clockwise 180° and 360°.

1 cent - $1 per group Ages 11 - 18 5 to 10 minutes
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Discover geometry by creating shapes from loops of paper. In this activity, paper loops transform to give you totally new structures when you cut them.

1 cent - $1 per group Ages 6 - 11 5 to 10 minutes
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In this activity, learners add squares to paper dominoes to make polyominoes.

1 cent - $1 per student Ages 11 - 14 45 to 60 minutes
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Straws and pipe cleaners are terrific materials for building models of pyramids and cubes.

1 cent - $1 per student Ages 4 - 11 30 to 45 minutes
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In this activity, learners build a paper stellated rhombic dodecahedron, a three-dimensional 12-pointed star.

1 cent - $1 per group Ages 11 - 14 1 to 2 hours
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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 cut a shape into two equal sized pieces and use their knowledge of geometry and space to prove that the two parts are equal.

1 cent - $1 per student Ages 4 - 8 10 to 30 minutes
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In this activity, learners discover how NASA engineers develop experimental aircraft.

$10 - $20 per group Ages 11 - 14 1 to 2 hours
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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.

1 cent - $1 per student Ages 11 - 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 (page 18 of PDF), learners will measure the volume of impact craters created by projectiles of different masses.

$10 - $20 per student Ages 8 - 14 45 to 60 minutes
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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.

$1 - $5 per student Ages 4 - 8 5 to 10 minutes
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Learners estimate how many small triangles will fill a larger shape. Then they use a triangle stamp (or stencil made from a file folder) to fill the larger shape with triangles.

$1 - $5 per student Ages 8 - 11 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 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.

1 cent - $1 per student Ages 11 - 14 1 to 2 hours
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In this activity (page 7 of PDF), learners will identify the general two-dimensional geometric shape of the uppermost cross section of an impact crater.

$10 - $20 per student Ages 8 - 14 45 to 60 minutes
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In this activity, learners will explore how maps can provide information about a place and help us find our way from one location to another.

$1 - $5 per group Ages 4 - adult 10 to 30 minutes