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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.
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).
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.
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.
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.
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.
Dowels and Rubber Bands I
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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!
Exploring Tessellations (Grades 6-8)
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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.
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.
Paperfolding Polyhedrons
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In this activity (on pages 55-66 of PDF), learners fold paper into origami shapes and then combine several identical shapes into a three-dimensional structure.
Building Houses: Build a Cardboard Tube House
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Build a house you can fit inside, using cardboard tubes.