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The Boxes Go Mobile
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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.
Geometry and Spatial Relations: Mirror, Mirror
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In this math lesson, learners use hinged mirrors to discover that regular polygons are composed of triangles tessellating around a center point.
Fill It Up
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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.
Canine House of Cards
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This simple construction activity teaches the importance of architectural structure. Learners build and test designs for a paper "doghouse" strong enough to hold the weight of a jumbo dog biscuit.
Twisted Tesselations
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In this activity (on pages 41-47 of PDF), learners explore tesselating geometric patterns (repeated shapes, similar to the art of M.C. Escher).
Geometry: Let's Face It
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In this math lesson, learners identify, describe, and construct the five regular polyhedra.
Throwing Pi
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In this calculus activity, learners use a classic problem of geometrical probability to find an important mathematical constant (pi).
Geometry: Tiling the Plaza
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In this math lesson, learners arrange pattern blocks to create tessellations and to explore geometric patterns. Learners first explore making patterns with a variety of pattern blocks.
Dicey Directions
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In this game, learners are stuck in a right turn only world! Learners take turns rolling a die and moving their game pieces along the lines of a grid to get "home," by only making right turns.
String Shapes
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In this activity, learners work together to make polygons (many-sided shapes) with string. Learners sit on the floor and hold onto a piece of string slid between their thumbs and index fingers.
Close It Up
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As learners play this challenging strategy game, they build understanding of area and perimeter. On each turn, a player draws a line between two dots next to each other on the grid.
Make an Animation
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In this activity, learners make a device called a phenakistoscope, which displays a continuously looping animation consisting of images drawn onto a spinning disc.
The Four-Square Quilt
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In this activity, learners arrange triangles together to make patterns to create paper quilts. Learners experiment with arranging the triangles in different ways to make various designs.
Making a Translation Tessellation
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In this activity, learners slide shapes to create unusual tiled patterns.
Four in a Line
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This strategy game has simple rules but can be a challenge. Players start with an empty hexagonal grid. On each turn, a player initials one empty hexagon on the grid.
Touch and Go
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As learners play this game, they develop logic, geometry, and spatial visualization skills. Players start out with an empty hexagonal grid.
Geometry and Spatial Relations: It's a Perfect Fit
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In this three-part math activity, learners explore shapes. In part one, learners identify, describe, and classify two-dimensional shapes.
New Boxes from Old
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Learners determine the surface area and volume of two identical boxes, and then figure out the dimensions of a cubical box with the same volume.
Exploring Tessellations (Grades K-2)
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In this activity, learners repeat patterns in two and three dimensions to create tessellations. This activity combines the creativity of an art project with the challenge of solving a puzzle.
The Shadow Knows II
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In this activity, learners will measure the length of a shadow and use the distance from the equator to calculate the circumference of the earth.