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...
Texas Instruments
Texas Instruments: Transformations, Rotations, Dilations 1
This StudyCards stack tests learners' 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...
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.
Lawrence Berkeley National Laboratory
Berkeley Lab: Symmetry in Rotation
Entry offers a brief explanation of rotational symmetry.
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.
University of Cambridge
University of Cambridge: Nrich: Symmetry Challenge
Sharpen your logic, symmetry, and pattern recognition skills while working on this challenge. Solution included.
Houghton Mifflin Harcourt
Holt, Rinehart and Winston: Homework Help Independent Practice: Symmetry
Get independent practice working with scientific and standard notation. Each incorrect response gets a text box explanation and another try. Correct responses are confirmed.
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?
Texas Instruments
Texas Instruments: Numb3 Rs: A Group of Symmetries
Based off of the hit television show NUMB3RS, this lesson has students examine a set of transformations to determine if certain properties (such as associativity and closure) exist for equilateral triangles. Students create tables of...
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.
Science U
Science U: Isometries: Rotation
This site from Science U gives good examples of rotational symmetry and some background information about them.
Sophia Learning
Sophia: Rotational Symmetry: Lesson 5
This lesson defines the phrase rotational symmetry. It is 5 of 11 in the series titled "Rotational Symmetry."
Sophia Learning
Sophia: Rotational Symmetry: Lesson 6
This lesson defines the phrase rotational symmetry. It is 6 of 11 in the series titled "Rotational Symmetry."
Ministry of Education and Universities of the Region of Murcia (Spain)
Ministerio De Educacion Y Ciencia: Traslaciones, Simetrias Y Giros
In Spanish. In this unit you can learn about movements in the plane: translations, symmetry and rotation.
Illustrative Mathematics
Illustrative Mathematics: G Co Seven Circles Ii
For this task, seven pennies are placed in a circle so that they are all touching one in the center and their neighbors. Students are asked to find as many rigid motions of the plane as they can which are symmetries of this configuration...
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....
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