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.
Unit Plan
CK-12 Foundation

Ck 12: Elem Math: Determining Whether Given Shapes Are Rotationally Symmetrical

For Students 3rd - 5th Standards
[Free Registration/Login may be required to access all resource tools.] Students watch a video to determine if given shapes have rotational symmetry and then take an assessment to test their skills.
Unit Plan
CK-12 Foundation

Ck 12: Elem Math: Determining Whether Given Shapes Are Rotationally Symmetrical

For Students 3rd - 5th Standards
[Free Registration/Login may be required to access all resource tools.] For this learning module, students examine shapes to determine if they have rotational symmetry. Includes video demonstrating a sample problem [1:31] and a set of...
Unit Plan
CK-12 Foundation

Ck 12: Elem Math: Determining Whether Given Shapes Are Rotationally Symmetrical

For Students 4th - 5th Standards
[Free Registration/Login may be required to access all resource tools.] In this learning module, students are asked to look at 2D shapes and decide if they have rotational symmetry. Includes video demonstrating a sample problem and a set...
Interactive
Mangahigh

Mangahigh: Shape: Rotational Symmetry

For Students 9th - 10th
Test your knowledge of rotational symmetry.
Unit Plan
CK-12 Foundation

Ck 12: Geometry: Rotations

For Students 8th
[Free Registration/Login may be required to access all resource tools.] Recognizing and identifying rotation transformations and rotational symmetry
eBook
Mathigon

Mathigon: Geometry: Symmetry

For Students 9th - 10th
This lesson focuses on symmetry including reflectional symmetry, rotational symmetry, and palindromes. It defines each, gives examples, and practice activities.
Unit Plan
Khan Academy

Khan Academy: Symmetry of 2 D Shapes

For Students 9th - 10th
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.
Unit Plan
CK-12 Foundation

Ck 12: Geometry: Lines of Symmetry

For Students 7th
[Free Registration/Login may be required to access all resource tools.] Distinguish between line symmetry and rotational symmetry
Unknown Type
Khan Academy

Khan Academy: Symmetry of 2 D Shapes

For Students 9th - 10th
Analyze various shapes according to their reflective and rotational symmetries.
Interactive
Government of Alberta

Learn Alberta: Math Interactives: Exploring Tessellations and Transformations

For Students 6th - 8th
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...
Handout
Purple Math

Purplemath: Symmetry About an Axis

For Students 9th - 10th
Explains symmetry about a line, using animations to illustrate the "rotation" or "reflection" involved in this type of symmetry.
Handout
CK-12 Foundation

Ck 12: Geometry: Symmetry and Tessellations Study Guide

For Students 9th - 10th
[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.
Handout
Other

Matematicka Secke: Universal Symmetry

For Students 9th - 10th
This site discusses how useful symmetry is to Physics.
Graphic
Other

Symmetry Around the World

For Students 3rd - 7th Standards
This resource provides information about symmetry, and everywhere it can be found.
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: G Co Symmetries of a Quadrilateral I

For Teachers 9th - 10th Standards
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...
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: G Co Symmetries of Rectangles

For Teachers 9th - 10th Standards
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.
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.
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...
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.
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.
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.
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.
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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