Activity
Math Is Fun

Math Is Fun: Rotational Symmetry

For Students 2nd - 8th
A definition and several examples of rotational symmetry. View two animations showing types of rotational symmetry, as well as real-life examples, including a dartboard and Ferris wheel.
Activity
Analyze Math

Analyze Math: Rotation Symmetry of Geometric Shapes

For Students 9th - 10th Standards
An applet is used to explore the rotation symmetry of geometric shapes. [Requires Java.]
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.
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...
Unknown Type
McGraw Hill

Glencoe: Self Check Quizzes 1 Symmetry

For Students 9th - 10th
Use Glencoe's randomly generated self-checking quiz to test your knowledge of lines of symmetry and rotational symmetry. Each question has a "Hint" link to help. Choose the correct answer for each problem. At the bottom of the page click...
Lesson Plan
Annenberg Foundation

Annenberg Learner: Learning Math: Symmetry

For Teachers 9th - 10th
This presentation provides a tutorial on symmetry. In the tutorial, you will do the following: learn about geometric symmetry, explore line or reflection symmetry, explore rotation symmetry, and explore translation symmetry and frieze...
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
Government of Alberta

Learn Alberta: Math Interactives: Exploring Transformations

For Students 6th - 8th
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...
Activity
Other

Teach Net: Rotational Symmetry

For Students 9th - 10th
An explanation from Teachers Network of what rotational symmetry is along with some examples that show this.
Activity
National Council of Teachers of Mathematics

The Math Forum: Rotational Symmetry

For Teachers K - 1st
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.
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.
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...
Website
University of Regina (Canada)

University of Regina: Math Central: Symmetry and Translations

For Students 9th - 10th Standards
This University of Regina site gives some history and definitions about translations and symmetry.
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.
Website
National Council of Teachers of Mathematics

The Math Forum: Ask Dr. Math: Rotating Parabolas

For Students 9th - 10th Standards
Dr. Math, in a reply to a student question, shows how to derive the equation of a parabola for situations when the line of symmetry is not || to one of the axes.
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...
Lesson Plan
PBS

Pbs Learning Media: Math + Arts: Geometry in Dance

For Teachers 3rd - 5th
In this instructional activity, students observe symmetry, geometric shapes, and angles in two Early American dances, and then choreograph their own dance with symmetrical figures. Media and teaching materials are included.
Activity
Houghton Mifflin Harcourt

Houghton Mifflin Harcourt: Saxon Activity Center Real World Investigation: Symmetry Around Us [Pdf]

For Students 3rd - 8th
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.
Activity
Math Is Fun

Math Is Fun: Symmetry Artist

For Students 3rd - 8th
The learning activity explores symmetry. Students combine mathematics and art as they investigate reflection and rotation symmetry.
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.