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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.

In this activity, learners predict where a ball will go after it bounces off another object. Learners discover that the motion of objects is predictable based on laws of motion.

This activity explores the main algorithms that are used as the basis for searching on computers, using different variations on the game of battleships.

This great "re-use it" activity will demonstrate how to transform a greeting card into a box. Once constructed, the box can have many uses like holding special notes or keepsakes.

In this activity, learners walk the sides and interior angles of various polygons drawn on the playground. As they do so, learners practice rotating clockwise 180° and 360°.

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 (on pages 41-47 of PDF), learners explore tesselating geometric patterns (repeated shapes, similar to the art of M.C. Escher).

Discover geometry by creating shapes from loops of paper. In this activity, paper loops transform to give you totally new structures when you cut them.

In this activity, learners determine the shape of an unseen object by bouncing a ball off the object.

In this activity, learners add squares to paper dominoes to make polyominoes.

Straws and pipe cleaners are terrific materials for building models of pyramids and cubes.

In this activity, learners build a paper stellated rhombic dodecahedron, a three-dimensional 12-pointed star.

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 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.

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.

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

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.