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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

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 activity, learners calculate the width (horizontal diameter) of the blind spot on their retina. Learners make a blind spot tester using a piece of notebook paper.

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 discover how NASA engineers develop experimental aircraft.

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).

In this team design challenge (page 2-10 of PDF), learners design and build a model of a Lunar Transport Rover that will carry equipment and people on the surface of the Moon.

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.

This math activity exposes early learners to a variety of three-dimensional objects. Learners bring geometric solids (everyday objects) from home.

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.