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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.

Fill It Up
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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.

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).

Loopy Geometry
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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.

Make a Tikiville Teepee
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In this great hands-on activity, learners use patterns to make a teepee from newspaper that they sit inside.

Paper Folding: Unfurling Geometric Paper Shapes
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Use geometry, a ruler, and a steady hand to create these amazing unfurling paper folds!

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.

Shapes and Angles
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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.

Close It Up
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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.

Make an Animation
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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.

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

Four in a Line
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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.

Touch and Go
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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.

Make A Map for A Treasure Hunt
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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.

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.

Shrinking Coin
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In this demonstration, learners attempt to get a large coin through a small hole, the size of a smaller coin.
Building Houses: Build a Cardboard Tube House
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Build a house you can fit inside, using cardboard tubes.

Angles and Area
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In this activity (page 10 of PDF), learners approximate the area of the uppermost cross section of an impact crater using a variety of square grids.

Making Tangram Pieces by Folding Paper
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In this math lesson, learners follow step-by-step directions for making tangram pieces out of folded and torn paper. First, learners read "Grandfather Tang's Story" by Ann Tompert.