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.
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...
Unit Plan
CK-12 Foundation

Ck 12: Geometry: Rotation Symmetry

For Students 9th - 10th
[Free Registration/Login may be required to access all resource tools.] Find a figure's angle of rotation.
Unit Plan
CK-12 Foundation

Ck 12: Geometry: Rotation Symmetry

For Students 9th - 10th
[Free Registration/Login may be required to access all resource tools.] This concept teaches students how to determine whether or not a shape has rotation symmetry.
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.
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...
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
Graphic
Other

Symmetry Around the World

For Students 3rd - 7th Standards
This resource provides information about symmetry, and everywhere it can be found.
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
Handout
Other

Matematicka Secke: Universal Symmetry

For Students 9th - 10th
This site discusses how useful symmetry is to Physics.
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.
Lesson Plan
Shodor Education Foundation

Shodor Interactivate: Lesson: Translations, Reflections, and Rotations

For Teachers 3rd - 8th Standards
This upper elementary and middle school lesson plan introduces a variety of motion geometry concepts such as translations, reflections, and rotations. Lots of interactive support for students.
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.
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.
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.
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 students use a digital camera to...
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...
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.
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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