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In this activity, learners make "totally tubular" forms of carbon. Learners use chicken wire to build macro models of carbon nanotubes.

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.

In this activity, learners develop an understanding of cylinders and volume as they compare two sizes of popcorn buckets.

As learners play this strategy game, they develop understanding of squares, area, and perimeter. On each turn, a player draws a line between two dots next to each other on the grid.

In this activity, young learners will explore shapes, textures, and geometries using household materials.

In this activity, learners create three-dimensional shapes by making some origami models of simple boxes and containers.

In this optics activity, learners explore how many objects they can see in a set of mirrors (hinged like a book) at various angles.

In this activity, learners of all ages will experiment with paint and printmaking.

In this activity, learners create a cylindrical mirror to see themselves as others see them.

In this optics activity, learners experiment with polarizers (small dark rectangles) to examine light intensity.

In this activity, learners construct a three-dimensional ambiguous cube to explore visual illusions and how our brains interpret or misinterpret information.

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

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.

In this tabletop activity (on pages 32-40), learners make Möbius strips -- 3D surfaces with only one side.

Create a “Find Someone” list, with about 10 items, each containing a shape, number, or measurement. Can you find someone in the group with hair about 4 inches long? Someone wearing parallel lines?

In this activity, learners will engineer a new shape and use it to create a new pattern with no wasted space.

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.

In this optics activity, learners examine how a transparent material such as glass or water can actually reflect light better than any mirror.

In this activity, learners build inexpensive kaleidoscopes using transparency paper and foil (instead of mirrors).

In this Cyberchase activity, learners make carpenter's squares and use them to measure square corners. Learners cut out the carpenter's square template and attach it to tagboard.