Government of Alberta
Learn Alberta: Math Interactives: Exploring Transformations
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...
Other
Teach Net: Rotational Symmetry
An explanation from Teachers Network of what rotational symmetry is along with some examples that show this.
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.
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.
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 Regina (Canada)
University of Regina: Math Central: Symmetry and Translations
This University of Regina site gives some history and definitions about translations and symmetry.
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: Ask Dr. Math: Rotating Parabolas
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.
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...
PBS
Pbs Learning Media: Math + Arts: Geometry in Dance
In this 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.
Houghton Mifflin Harcourt
Houghton Mifflin Harcourt: Saxon Activity Center Real World Investigation: Symmetry Around Us [Pdf]
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.
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 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.
E-learning for Kids
E Learning for Kids: Math: Tea Store: 3 D Shapes and Symmetry
In this tea store, the boxes all have different shapes! What do you know about shapes?
University of Cambridge
University of Cambridge: Nrich: Symmetry Challenge
Sharpen your logic, symmetry, and pattern recognition skills while working on this challenge. Solution included.
Math Is Fun
Math Is Fun: Nature, the Golden Ratio, and Fibonacci, Too
Looks at how spirals form in nature when cells reproduce in a flower, for example. An interactive lets students try entering different values to see if they can make a spiral pattern with no gaps. The correct figure would be the Golden...
Math Is Fun
Math Is Fun: Point Symmetry
A definition and examples of point symmetry, as well as links to information on rotational symmetry, reflection symmetry, transformations, and rotation.
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...
Math Is Fun
Math Is Fun: Symmetry
Students learn about symmetry. Topics explored are reflection, rotational, and point symmetry. Examples and definitions are included.
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.
National Council of Teachers of Mathematics
Nctm: Figure This: Upside Down (Pdf)
What lowercase letters read the same both upside down and right side up? If you have the answer, then you can handle this geometric symmetry math challenge. A one-page activity from the NTCM Math Challenge for Families collection....