Mathigon
Mathigon: Geometry: Symmetry
This lesson focuses on symmetry including reflectional symmetry, rotational symmetry, and palindromes. It defines each, gives examples, and practice activities.
Other
Teach Net: Rotational Symmetry
An explanation from Teachers Network of what rotational symmetry is along with some examples that show this.
Sophia Learning
Sophia: Rotational Symmetry: Lesson 5
This lesson defines the phrase rotational symmetry. It is 5 of 11 in the series titled "Rotational Symmetry."
Sophia Learning
Sophia: Rotational Symmetry: Lesson 6
This lesson defines the phrase rotational symmetry. It is 6 of 11 in the series titled "Rotational Symmetry."
Khan Academy
Khan Academy: Symmetry of 2 D Shapes
Analyze various shapes according to their reflective and rotational symmetries. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
CK-12 Foundation
Ck 12: Geometry: Lines of Symmetry
[Free Registration/Login may be required to access all resource tools.] Distinguish between line symmetry and rotational symmetry
Khan Academy
Khan Academy: Symmetry of 2 D Shapes
Analyze various shapes according to their reflective and rotational symmetries.
Government of Alberta
Learn Alberta: Math Interactives: Exploring Tessellations and Transformations
Investigate tessellations using this interactive Learn Alberta math resource. Students will explore transformations, namely line symmetry, rotation symmetry, and translation occurring within a tessellated pattern. Be sure to follow the...
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.
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