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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 design challenge activity, learners use a balloon and other simple materials to design an air-powered rocket that can hit a distant target.

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

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

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 (located on pages 23-24 of the PDF), learners are introduced to structural engineering and encouraged to practice goal-oriented building.

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

In this activity, learners construct drums out of everyday containers (like bowls or food containers) and shrink wrap. Learners use a hair dryer to affix and tighten the shrink wrap to the container.

In this activity, learners discover that they can modify a regular piece of paper so that it's large enough for them to walk through!

In this math lesson, learners use the setting of a flower-making fundraiser to explore a variety of patterns. Learners examine the patterns in a flower design made of triangles surrounding a square.

In this great hands-on activity, learners use patterns to make a teepee from newspaper that they sit inside.

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

In this online Flash game, learners will captain a sailing challenge, adjusting boat direction and sails, seeking the way to take greatest advantage of varying wind speeds and directions to catch the

In this three/four-day lesson, learners calculate perimeters and areas and draw the castle plan to scale.

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

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

The goal of this activity is to design, build and test a house or toy for an animal.

In this engineering activity, learners explore simple machines and then build cardboard automata using cams.

Learners use two mirrors to explore how images of images of images can repeat forever.

In this four-day lesson, learners identify three-dimensional forms in castle design, research different parts of the castle with a focus on their uses, and design and enlarge a banner for the great ha