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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 optics activity, learners work in pairs to explore how mirrors work. Learners use tape to mark the angles needed to see each other's reflection in a wall mirror.

In this activity, learners build mini-basketball courts and explore the laws of physics. Learners discover that everything you throw or shoot on earth travels in a parabola.

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 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 construct a device that allows them to view 2-D images in 3-D.

This activity gets learners looking at 6-sided shapes in nature, including the cells of a beehive, as well as other shapes.

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

Learners explore magnetism and motion as they build a simple marble run. Learners test different arrangements of plastic and cardboard tubes, bottles, and cups on a magnetic board.

In this activity, learners explore how the process of folding has impacts on engineering and is evident in nature.

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.

In this activity, learners will explore pi and the mathematical relationships between a circle's diameter, circumference, and radius.

In this pencil and paper activity, learners work in pairs and simulate how astronomical spacecraft and computers create images of objects in space.

In this Cyberchase activity, use grid coordinates to share secret pictures with a friend. Color squares of a grid to make a picture (like a smiley face) that you keep hidden from the other person.

In this activity, learners will predict the size of a giant scale model of a comb or other rectangular object, then make one. If you tripled the size of a dollar bill, could you sit on it?

Create beautiful spirals by drawing a straight line. This sounds crazy, but you can with a turntable (a record player or lazy susan), paper, and pen.