Handout
CK-12 Foundation

Ck 12: Geometry: Symmetry and Tessellations Study Guide

For Students 9th - 10th
[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.
Activity
Math Is Fun

Math Is Fun: Symmetry

For Students 3rd - 8th
Students learn about symmetry. Topics explored are reflection, rotational, and point symmetry. Examples and definitions are included.
Activity
Math Is Fun

Math Is Fun: Symmetry Artist

For Students 3rd - 8th
The learning activity explores symmetry. Students combine mathematics and art as they investigate reflection and rotation symmetry.
Activity
National Council of Teachers of Mathematics

The Math Forum: The Four Types of Symmetry in the Plane

For Students 9th - 10th Standards
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.
Unit Plan
Other

Symmetry in Architecture

For Students 9th - 10th
Provides real world examples of symmetry in architecture, including pictures of each kind of symmetry, examples, acknowledgements, and a bibliography.
Unit Plan
Texas Education Agency

Texas Gateway: Making Conjectures About Congruence Transformations

For Students 9th - 10th Standards
Given geometric figures on the coordinate plane, the student will apply the definition of congruence, in terms of rigid transformations, to identify congruent figures. The student will also identify and distinguish between reflectional...
Website
University of Regina (Canada)

University of Regina: Math Central: Symmetry and Translations

For Students 9th - 10th Standards
This University of Regina site gives some history and definitions about translations and symmetry.
Activity
National Council of Teachers of Mathematics

The Math Forum: The Four Basic Symmetries

For Students 9th - 10th Standards
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.
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: G Co Symmetries of a Quadrilateral Ii

For Teachers 9th - 10th Standards
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.
Lesson Plan
Shodor Education Foundation

Shodor Interactivate: Lesson: Tessellations Geometry and Symmetry

For Teachers 3rd - 8th Standards
This lesson plan deals with tessellations and their geometric concepts. Upper elementary and middle school students will also explore polygons, symmetry, analyze patterns and explore the role of mathematics in nature and culture.
Interactive
Government of Alberta

Learn Alberta: Math Interactives: Exploring Transformations

For Students 6th - 8th
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...
Activity
Texas Instruments

Texas Instruments: Numb3 Rs: A Group of Symmetries

For Teachers 9th - 10th Standards
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...
Activity
University of Cambridge

University of Cambridge: Nrich: Symmetry Challenge

For Students Pre-K - 1st Standards
Sharpen your logic, symmetry, and pattern recognition skills while working on this challenge. Solution included.
Activity
Math Is Fun

Math Is Fun: Point Symmetry

For Students Pre-K - 1st Standards
A definition and examples of point symmetry, as well as links to information on rotational symmetry, reflection symmetry, transformations, and rotation.
Lesson Plan
Shodor Education Foundation

Shodor Interactivate: Lesson: Translations, Reflections, and Rotations

For Teachers 3rd - 8th Standards
This upper elementary and middle school lesson plan introduces a variety of motion geometry concepts such as translations, reflections, and rotations. Lots of interactive support for students.
Lesson Plan
Shodor Education Foundation

Shodor Interactivate: Lesson: Visual Patterns in Tessellations

For Teachers 3rd - 8th Standards
This upper elementary and middle school lesson plan examines the mathematical nature of art, tilings and tessellations. Students will also explore polygons, symmetry, analyze patterns and explore the role of mathematics in nature and our...
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: G Co Seven Circles Ii

For Teachers 9th - 10th Standards
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...
Activity
University of Georgia

University of Georgia: Transformations: Revisiting Congruence

For Students 9th - 10th Standards
This site presents information on the three basic transformations of figures in a plane: Reflections, Rotations, and Translations.
Graphic
University of Cambridge

University of Cambridge: Nrich: Transformation Tease

For Students 3rd - 8th Standards
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.
Unit Plan
CK-12 Foundation

Ck 12: Geometry: Rigid Transformations

For Students 6th - 7th
[Free Registration/Login may be required to access all resource tools.] Identify different types of transformations.
Interactive
University of Cambridge

University of Cambridge: Nrich: Shapely Tiling

For Students Pre-K - 1st
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.