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....
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...
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
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...
University of Cambridge
University of Cambridge: Nrich: Transformation Tease
Follow the directions at this one page website. You will get lots of practice plotting points on the coordinate grid and experience with transformational geometry.
University of Cambridge
University of Cambridge: Nrich: A Cartesian Puzzle
This one page website lets you practice plotting points on the coordinate grid. See if you can find the missing coordinates to complete the shapes. When you are finished the solutions are only a click away.
University of Cambridge
University of Cambridge: Nrich: Tessellating Triangles
The challenge at this one page website, involves tessellation and triangle. Should you accept this challenge, you will find helpful teacher notes and the solution available right at the website.
University of Cambridge
University of Cambridge: Nrich: Shapely Tiling
On this one page interactive website expand your logic, Motion Geometry and pattern recognition knowledge while working on this challenge. The solution is available to double check your solution.