Other
Artlandia: Pattern Design Tool
If it's in the budget you may want to consider purchasing Artlandia SymmetryWorks, a plug-in for Adobe Illustrator. There are two features that incorporate the use of computer technology to create symmetrical patterns. Free seamless...
Other
The Math Learning Center: Pattern Shapes
Students use pattern shapes to explore geometry and fractions, creating their own designs, or filling in outlines. As they work with the shapes students explore geometric relationships, think about angles, investigate symmetry, and...
TED Talks
Ted: Ted Ed: Marcus Du Sautoy: Symmetry, Reality's Riddle
Oxford mathematician, Marcus du Sautoy, presents a brief look of the invisible numbers that unite all symmetrical objects as he discusses prime numbers, symmetry groups, higher dimensions and other stumpers. [18:20]
National Council of Teachers of Mathematics
Nctm: Slam Ball
[Free Registration/Login Required] Angles and symmetry are reviewed in this learning game. Students try to identify high-scoring paths by slamming the ball off the sides of the game board and send it on a path that collects the most tokens.
Khan Academy
Khan Academy: Identify Symmetrical Figures
Practice identifying symmetrical shapes. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
Mathigon
Mathigon: Geometry: Transformation and Symmetry: Introduction
This lesson is an introduction to transformation and symmetry by showing examples in nature and in buildings.
Mathigon
Mathigon: Geometry: Symmetry Groups
This lesson focuses on symmetry groups; some shapes have more than one symmetry. You can add two symmetries to form a new one. It provides examples and practice exercises including a "symmetry calculator."
Mathigon
Mathigon: Geometry: Symmetry in Physics
This lesson focuses on symmetry in physics. The laws of nature are the name given collectively to the physical rules (usually expressed as mathematical equations) that try to explain everything we observe in the universe.
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. Students are asked to find as many rigid motions of the plane as they can which are symmetries of this configuration...
Success Link
Success Link: Symmetry Activity
Use this lesson plan to assess students' understanding of symmetry and their ability to express that understanding both in writing and with paper.
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 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.
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.
Cornell University
Cornell University: Isometries and Patterns
Shows the different kinds of isometries and patterns, and gives examples of each kind. Includes definitions, terminology, examples, and problems.
CK-12 Foundation
Ck 12: Elem Math: Identify and Count the Lines of Symmetry in Various Shapes
[Free Registration/Login may be required to access all resource tools.] Students watch a video and take an assessment on identifying and counting lines of symmetry in various shapes.
CK-12 Foundation
Ck 12: Algebra: Midpoint Formula
[Free Registration/Login may be required to access all resource tools.] This concept introduces midpoints of line segments.
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.
CK-12 Foundation
Ck 12: Geometry: Reflections
[Free Registration/Login may be required to access all resource tools.] This concept teaches students about reflections and how to find the coordinates of a reflected figure.
TED Talks
Ted: Ted Ed: The Science of Symmetry
Colm Kelleher unpacks symmetry and explains how animals' distinct symmetries can tell us more about them- and ourselves. [5:09]
Rice University
Rice University: Cynthia Lanius: Designer Fractions Symmetry
This site takes a look at symmetry, with a special focus on line symmetry. Here you will find a definition, as well as several examples and real-world applications.
CK-12 Foundation
Ck 12: Geometry: Symmetry and Tessellations Study Guide
[Free Registration/Login may be required to access all resource tools.] Provides a brief overview of the different types of symmetry and of how to tessellate a shape.
Mathigon
Mathigon: Geometry: Symmetry
This lesson focuses on symmetry including reflectional symmetry, rotational symmetry, and palindromes. It defines each, gives examples, and practice activities.
Savvas Learning
Hmong Embroidery Connections to Mathematics
This short lesson plan uses the art of Hmong "flower cloth" (paj ntaub) to help students learn about symmetry. Includes two suggested children's books you can use to learn more about Hmong culture.