Purple Math
Purplemath: Symmetry About an Axis
Explains symmetry about a line, using animations to illustrate the "rotation" or "reflection" involved in this type of symmetry.
CK-12 Foundation
Ck 12: Geometry: Symmetry and Tessellations Study Guide
[Free Registration/Login may be required to access all resource tools.] Provides a brief overview of the different types of symmetry and of how to tessellate a shape.
Other
Symmetry Around the World
This resource provides information about symmetry, and everywhere it can be found.
National Council of Teachers of Mathematics
The Math Forum: Rotational Symmetry
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.
Illustrative Mathematics
Illustrative Mathematics: G Co Symmetries of a Quadrilateral I
Suppose ABCD is a quadrilateral for which there is exactly one rotation, through an angle larger than 0 degrees and less than 360 degrees, which maps it to itself. Further, no reflections map ABCD to itself. What shape is ABCD? Aligns...
Illustrative Mathematics
Illustrative Mathematics: G Co Symmetries of Rectangles
This task examines the rigid motions which map a rectangle onto itself. The emphasis here is on careful reasoning using the definitions of reflections and rotations. Aligns with G-CO.A.3.
University of Illinois
University of Illinois Urbana Champaign: Egg Math Axis of Symmetry
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.
University of Georgia
University of Georgia: Inter Math: Angle of Rotation
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...
Houghton Mifflin Harcourt
Houghton Mifflin Harcourt: Saxon Activity Center Real World Investigation: Symmetry Around Us [Pdf]
Use this internet lesson to explore different types of symmetry in nature. Learners examine line symmetry, rotational symmetry, and bilateral symmetry. An integrated math, language art, and art lesson. Acrobat Reader required.
Lawrence Berkeley National Laboratory
Berkeley Lab: Symmetry in Rotation
Entry offers a brief explanation of rotational symmetry.
CK-12 Foundation
Ck 12: Geometry: Lines of Symmetry
[Free Registration/Login may be required to access all resource tools.] Identify line, bilateral, and rotational symmetry.
Science U
Science U: Isometries: Rotation
This site from Science U gives good examples of rotational symmetry and some background information about them.
Math Is Fun
Math Is Fun: Symmetry Artist
The learning activity explores symmetry. Students combine mathematics and art as they investigate reflection and rotation symmetry.
Other
Discontinuous Groups of Rotation & Translation in Plane
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.
CK-12 Foundation
Ck 12: Geometry: Rotations
[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.
University of Illinois
University of Illinois Urbana Champaign: Chickscope Eggmath: The Shape of an Egg
An interactive page offering a view of a rotating egg, information on rotational symmetry, and definitions of related topics.
National Council of Teachers of Mathematics
The Math Forum: The Four Types of Symmetry in the Plane
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.
Illustrative Mathematics
Illustrative Mathematics: G Co Symmetries of a Quadrilateral Ii
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.
Shodor Education Foundation
Shodor Interactivate: Lesson: Tessellations Geometry and Symmetry
This lesson plan deals with tessellations and their geometric concepts. Upper elementary and middle school students will also explore polygons, symmetry, analyze patterns and explore the role of mathematics in nature and culture.
Other
Symmetry in Architecture
Provides real world examples of symmetry in architecture, including pictures of each kind of symmetry, examples, acknowledgements, and a bibliography.
Oswego City School District
Regents Exam Prep Center: Intuitive Symmetry: Point, Line, Plane, Rotational
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 students use a digital camera to...
Government of Alberta
Learn Alberta: Math Interactives: Exploring Transformations
This multimedia Learn Alberta math resource looks at real world examples of transformations found throughout West Edmonton Mall. The accompanying interactive component asks students to predict transformations through looking at...
University of Regina (Canada)
University of Regina: Math Central: Symmetry and Translations
This University of Regina site gives some history and definitions about translations and symmetry.
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