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Activity
University of Illinois

University of Illinois Urbana Champaign: Egg Math Axis of Symmetry

For Students 9th - 10th
Uses an egg to demonstrate the concept of axis of symmetry. Put your cursor over the picture to "move" around the egg. Offers links to related concepts, including Cartesian Ovals and Ovals of Cassini.
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Activity
National Council of Teachers of Mathematics

The Math Forum: The Four Types of Symmetry in the Plane

For Students 9th - 10th Standards
This Math Forum site gives visual examples of rotation, translation, reflection, and glide reflection with background information about each. Also gives problems to work on concerning symmetry.
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Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: G Co Symmetries of a Quadrilateral Ii

For Teachers 9th - 10th Standards
There is exactly one reflection and no rotation that sends the convex quadrilateral ABCD onto itself. What shape(s) could quadrilateral ABCD be? Explain. Aligns with G-CO.A.3.
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Unit Plan
Other

Symmetry in Architecture

For Students 9th - 10th
Provides real world examples of symmetry in architecture, including pictures of each kind of symmetry, examples, acknowledgements, and a bibliography.
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Lesson Plan
Oswego City School District

Regents Exam Prep Center: Intuitive Symmetry: Point, Line, Plane, Rotational

For Teachers 3rd - 8th Standards
Investigate the concept of symmetry at this test prep site. See detailed definitions and picture examples, answer the questions in the interactive practice pages, and do the classroom activity where learners use a digital camera to...
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Handout
University of Georgia

University of Georgia: Inter Math: Angle of Rotation

For Students 9th - 10th
This site gives a definition of angle of rotation and provides some examples. There is also an interactive activity in which a JavaSketchPad page is provided for you to explore rotations. In addition, be sure to follow the links to...
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Activity
National Council of Teachers of Mathematics

The Math Forum: Rotational Symmetry

For Teachers K - 1st
This is a good site for elementary teachers to help educate students about symmetry by using pattern blocks. This link has multiple activities that the instructor could use including technological and standard activities.
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eBook
CK-12 Foundation

Ck 12: 2.9 Rotation Symmetry

For Students 9th - 10th
Find out about the ways to name rotation symmetry: order, fraction of a turn, and angle.
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eBook
Mathigon

Mathigon: Geometry: Symmetry Groups and Wallpapers

For Students 9th - 10th
This lesson focuses on wallpaper groups. While there are infinitely many possible patterns, they all have one of just 17 different symmetry groups. These are called the Wallpaper Groups. Every wallpaper group is defined by a combination...
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Unit Plan
CK-12 Foundation

Ck 12: Geometry: Lines of Symmetry

For Students 6th - 7th
[Free Registration/Login may be required to access all resource tools.] Identify line, bilateral, and rotational symmetry.
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Lesson Plan
Shodor Education Foundation

Shodor Interactivate: Lesson: Visual Patterns in Tessellations

For Teachers 3rd - 8th Standards
This upper elementary and middle school lesson plan examines the mathematical nature of art, tilings and tessellations. Students will also explore polygons, symmetry, analyze patterns and explore the role of mathematics in nature and our...
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Unit Plan
Clark University

Clark University: Dave's Short Trig Course: Transformations of the Plane

For Students 9th - 10th Standards
Site that focuses on planar pattern and transformations within geometry. It also identifies different kinds of symmetry.
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Unit Plan
CK-12 Foundation

Ck 12: Geometry: Rotations

For Students 9th - 10th
[Free Registration/Login may be required to access all resource tools.] This concept teaches students what rotations are and how to find the coordinates of rotated figures.
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Activity
Math Is Fun

Math Is Fun: Symmetry

For Students 3rd - 8th
Students learn about symmetry. Topics explored are reflection, rotational, and point symmetry. Examples and definitions are included.
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Activity
Math Is Fun

Math Is Fun: Symmetry Artist

For Students 3rd - 8th
The learning activity explores symmetry. Students combine mathematics and art as they investigate reflection and rotation symmetry.
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Activity
National Council of Teachers of Mathematics

The Math Forum: The Four Basic Symmetries

For Students 9th - 10th Standards
This is a site from the Math Forum that gives visual examples to show the differences between the four different kinds of symmetry. Examples are given along with links to additional information.
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Activity
Analyze Math

Analyze Math: Rotation Symmetry of Geometric Shapes

For Students 9th - 10th Standards
An applet is used to explore the rotation symmetry of geometric shapes. [Requires Java.]
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Activity
Analyze Math

Analyze Math: Rotation Symmetry of Regular Polygons

For Students 9th - 10th Standards
An applet is used to investigate the rotation symmetry of regular polygons.
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Unit Plan
Other

Discontinuous Groups of Rotation & Translation in Plane

For Students 9th - 10th
This site helps give the definition of what an n-fold rotation is. Also discusses other discontinuous groups of rotation and translation in the plane.
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Activity
Rice University

Rice University: Cynthia Lanius: Dueling Pinwheels (Geometer's Sketchpad)

For Teachers 9th - 10th
An introductory look at the interactive Geometer's Sketchpad in terms of using it to explore rotations, translations, and reflections. Only a beginner's amount of skill with the program is needed. Exploration questions are given for the...
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Lesson Plan
Texas Instruments

Texas Instruments: Transformations, Rotations, Dilations 1

For Teachers 9th - 10th Standards
This StudyCards stack tests students' understanding of translation, transformation, symmetry, dilation, and rotation of a point to form images. Teachers require TI StudyCards Creator Software and students will need the StudyCardApp on...
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Website
National Council of Teachers of Mathematics

The Math Forum: Ask Dr. Math: Rotating Parabolas

For Students 9th - 10th Standards
Dr. Math, in a reply to a student question, shows how to derive the equation of a parabola for situations when the line of symmetry is not || to one of the axes.
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Handout
Lawrence Berkeley National Laboratory

Berkeley Lab: Symmetry in Rotation

For Students 9th - 10th
Entry offers a brief explanation of rotational symmetry.
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Website
University of Regina (Canada)

University of Regina: Math Central: Symmetry and Translations

For Students 9th - 10th Standards
This University of Regina site gives some history and definitions about translations and symmetry.

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