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Analyze Math
Analyze Math: Rotation Symmetry of Regular Polygons
An applet is used to investigate the rotation symmetry of regular polygons.
CK-12 Foundation
Ck 12: Elem Math: Determining Whether Given Shapes Are Rotationally Symmetrical
[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.
CK-12 Foundation
Ck 12: Elem Math: Determining Whether Given Shapes Are Rotationally Symmetrical
[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...
CK-12 Foundation
Ck 12: Elem Math: Determining Whether Given Shapes Are Rotationally Symmetrical
[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...
CK-12 Foundation
Ck 12: Geometry: Rotations
[Free Registration/Login may be required to access all resource tools.] Recognizing and identifying rotation transformations and rotational symmetry
Mathigon
Mathigon: Geometry: Symmetry
This lesson focuses on symmetry including reflectional symmetry, rotational symmetry, and palindromes. It defines each, gives examples, and practice activities.
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.
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...
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.
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.
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.
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