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Spinning Blackboard
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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.

Exploring Tessellations (Grades 6-8)
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In this activity, learners design unique tiles and make repeating patterns to create tessellations. This activity combines the creativity of an art project with the challenge of solving a puzzle.
One-Cut Paper Stars
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Here's a very simple activity if you have paper and scissors: make one cut, unfold, and you have a beautiful star! A great way to learn about polygons and origami mathematics.

Paper Folding: Unfurling Geometric Paper Shapes
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Use geometry, a ruler, and a steady hand to create these amazing unfurling paper folds!

Fold a Crystal
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Rocks are made of minerals, and minerals often have crystal shapes. In this fun activity about geometry in nature, learners create their own crystal shapes out of paper.

Paper Sculptures
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In this activity, learners manipulate paper to build original 3-dimensional sculptures. Appropriate for any age, learners can use fingers to tear, crumple, or fold, and if available, scissors to cut.

Ladybug Spots
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In this art/science/math activity, young learners are introduced to the concept of symmetry in nature.

Boredom Buster
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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.

Simple Pop-Up Mechanisms
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In this activity, learners construct three quick and simple mechanisms to start building a pop-up book. Learners fold, cut, and glue paper to make a bird beak, parallelogram, and V-fold.

Patches the Cat: A Print-and-Build Paper Sculpture Kit
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In this activity, learners get hands-on with geometry by making a polyhedron kitty sculpture.

Making a Translation Tessellation
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In this activity, learners slide shapes to create unusual tiled patterns.

Butterfly Symmetry Painting
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This activity (on page 3 of the PDF) has learners create models of butterfly wings.
Six Squares: Geometry and Design
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In this activity, learners take a turn contributing a closed figure made of six squares to a large grid; each must be different from all the others on the grid so far.

Making Tangram Pieces by Folding Paper
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In this math lesson, learners follow step-by-step directions for making tangram pieces out of folded and torn paper. First, learners read "Grandfather Tang's Story" by Ann Tompert.
Needlework Designs
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In this math activity, learners create symmetrical designs for paper models of special blouses known as huipiles.

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).

Box Ecology
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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.

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.

Building a 3-D Space Maze: Escher Staircase
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In this activity (page 95 of the PDF), learners create Escher Staircase models similar to those that were used by Neurolab's Spatial Orientation Team to investigate the processing of information about