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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.
Walking Polygons
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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°.
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.
Beyond Dominoes: Polyominoes
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In this activity, learners add squares to paper dominoes to make polyominoes.
Pyramids and Triangles
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Straws and pipe cleaners are terrific materials for building models of pyramids and cubes.
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.
Great Openings: Slots, 35 Sense, and Hole In One
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These three short activities challenge groups to fit objects through paper and index cards: "Slots" presents the challenge for one learner to figure out which objects fit through a hole cut by another
Tessellations
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In this activity, learners will engineer a new shape and use it to create a new pattern with no wasted space.
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.
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!
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.