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Math: Geometry: Symmetry

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Title: Math: Geometry: Symmetry
Description: These sites offer many examples of how symmetry works in a variety of shapes. Find out the difference between reflection and rotational symmetry. Includes interactive sites that let you draw symmetrical shapes and manipulate them. There is a link to an eThemes Resource on tessellations.
Grade Level: 3, 4, 5, 6
Resource Links: BBC: Reflection Symmetry
Learn about symmetry and see what happens to a shape when it is folded in half. NOTE: The "Talk" link leads to message boards.

BBC: Rotation Symmetry
Decide what shapes have rotation symmetry and locate the rotation point. NOTE: The "Talk" link leads to message boards.

Symmetry Animation
Watch this animation to see how symmetric shapes forms. NOTE: The site leads to websites with ads.

Line Symmetry
This interactive animation explains principles of line symmetry.

Learning Math: Line Symmetry
Look at examples of symmetrical shapes and see some that aren't symmetrical. Includes shapes to practice drawing symmetrical lines through, plus the solutions.

Kali
This interactive site lets you choose a color and a pattern and create a symmetrical design.

Bisecting Figures
Here is fun activity for younger kids to practice finding bisection line.

SuccessLink: Symmetry
This activity idea has students decorate kites to demonstrate their understanding of symmetry.

UEN: Lines of Symmetry
This lesson plan for fourth-graders offers an idea for introducing the concept of symmetry to students. The lesson involves having students work in groups to draw symmetrical shapes.

PBS: Using Symmetry to Create Corporate Logos
This lesson plan is designed for six-eight graders and explains how four types of symmetry are used in logo design.

Alloy Wheel Photo Gallery
Design your alloy wheel using rotational symmetry.

World Symmetry
This school site shows how a class investigated the symmetry of many objects, including the alphabet, ink blots, the human body, and more.

Symmetry of Rugs
Explore links on this page and learn symmetry and asymmetry, and patterns.

Two Faces
View art pieces that use symmetry to display two faces on one image.

Folding and Cutting a Snowflake
Here is how to cut a symmetrical snowflake from paper.

eThemes Resource: Math: Tessellations
These sites explain how to create tessellations with polygons using rotation and reflection. Also includes information about artist M.C. Escher and examples of his tessellation artwork. There are several interactive games for manipulating patterns online.

Education Standards: MO Standards:
1.2, 1.3, 1.4, 1.6, 2.1, 2.7, 2, 4


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Reviewed December 7, 2004.

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