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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.

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.

Mass, Area, Volume
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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.

Build A Dome
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In this activity, learners explore the structural strength of triangles by creating their own free-standing geodesic dome out of plastic straws.
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!

Hand Biometrics Technology
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In this activity, learners explore how engineers incorporate biometric technologies into products as well as the challenges of engineers who must weigh privacy, security and other issues when designin

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.
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.

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.

Building Three-Dimensional (3D) Structures
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In this activity, learners practice drawing 3D structures in two dimensions. Learners draw cube stacks from five different points of view.
One-Cut Paper Stars
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Here's a very simple activity if you have paper and scissors: make one cut, unfold, and you have a beautiful star! A great way to learn about polygons and origami mathematics.

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

Geometry and Algebra: The Future Flight Equation
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In this activity, learners discover how NASA engineers develop experimental aircraft.

Party Hat Symmetry
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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.

Beyond Dominoes: Polyominoes
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In this activity, learners add squares to paper dominoes to make polyominoes.

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.

Burst a Bubble
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In this activity, learners will create their own bubble solution. Learners will explore chemistry, geometry and trial and error through this activity.

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.

Patches the Cat: A Print-and-Build Paper Sculpture Kit
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In this activity, learners get hands-on with geometry by making a polyhedron kitty sculpture.