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Teach Net: Rotational Symmetry
An explanation from Teachers Network of what rotational symmetry is along with some examples that show this.
Shodor Education Foundation
Shodor Interactivate: Lesson: Translations, Reflections, and Rotations
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.
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.
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.
Other
Symmetry in Architecture
Provides real world examples of symmetry in architecture, including pictures of each kind of symmetry, examples, acknowledgements, and a bibliography.
Oswego City School District
Regents Exam Prep Center: Intuitive Symmetry: Point, Line, Plane, Rotational
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...
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...
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.
CK-12 Foundation
Ck 12: 2.9 Rotation Symmetry
Find out about the ways to name rotation symmetry: order, fraction of a turn, and angle.
Mathigon
Mathigon: Geometry: Symmetry Groups and Wallpapers
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...
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.
Shodor Education Foundation
Shodor Interactivate: Lesson: Visual Patterns in Tessellations
This upper elementary and middle school lesson plan examines the mathematical nature of art, tilings and tessellations. Young scholars will also explore polygons, symmetry, analyze patterns and explore the role of mathematics in nature...
Clark University
Clark University: Dave's Short Trig Course: Transformations of the Plane
Site that focuses on planar pattern and transformations within geometry. It also identifies different kinds of symmetry.
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.
Math Is Fun
Math Is Fun: Symmetry
Students learn about symmetry. Topics explored are reflection, rotational, and point symmetry. Examples and definitions are included.
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.
National Council of Teachers of Mathematics
The Math Forum: The Four Basic Symmetries
This is a site from the Math Forum that gives visual examples to show the differences between the four different kinds of symmetry. Examples are given along with links to additional information.
Analyze Math
Analyze Math: Rotation Symmetry of Geometric Shapes
An applet is used to explore the rotation symmetry of geometric shapes. [Requires Java.]
Analyze Math
Analyze Math: Rotation Symmetry of Regular Polygons
An applet is used to investigate the rotation symmetry of regular polygons.
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.
Rice University
Rice University: Cynthia Lanius: Dueling Pinwheels (Geometer's Sketchpad)
An introductory look at the interactive Geometer's Sketchpad in terms of using it to explore rotations, translations, and reflections. Only a beginner's amount of skill with the program is needed. Exploration questions are given for the...
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