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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 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.
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?
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...
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...
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....
Texas Instruments
Texas Instruments: Transformations, Rotations, Dilations 1
This StudyCards stack tests students' understanding of translation, transformation, symmetry, dilation, and rotation of a point to form images. Teachers require TI StudyCards Creator Software and students will need the StudyCardApp on...
Rice University
Rice University: Cynthia Lanius: Polyominoes Fun With Dominoes
For students who have ever played dominoes and Tetris, polyominoes will strike them as a great deal of fun. Teachers will see the educational benefits of working with similar and congruent shapes and rotating them in a plane. Exploration...
McGraw Hill
Glencoe Mathematics: Online Study Tools: Self Check Quiz on Transformations
Students show comprehension of advanced mathematics skills in Geometry. The questions check understanding on transformational geometry. Topics include translations, symmetry, and rotations.
Illustrative Mathematics
Illustrative Mathematics: G Co Seven Circles Ii
In this task, seven pennies are placed in a circle so that they are all touching one in the center and their neighbors. Learners are asked to find as many rigid motions of the plane as they can which are symmetries of this configuration...