Lesson Plan
Smithsonian Institution

Smithsonian Learning Lab: Turn About's Fair Play! Mirrors and How They Reflect

For Teachers 3rd - 8th
Teachers can download this teaching package that looks at light and symmetry through the use of mirrors. Students will enjoy the nine mirror challenges, along with the hands-on activities described in the lessons. Teachers will...
Handout
Purple Math

Purplemath: Symmetry About an Axis

For Students 9th - 10th
Explains symmetry about a line, using animations to illustrate the "rotation" or "reflection" involved in this type of symmetry.
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.
Unit Plan
CK-12 Foundation

Ck 12: Geometry: Lines of Symmetry

For Students 6th - 7th
[Free Registration/Login may be required to access all resource tools.] Identify line, bilateral, and rotational symmetry.
Unknown Type
Khan Academy

Khan Academy: Symmetry of 2 D Shapes

For Students 9th - 10th
Analyze various shapes according to their reflective and rotational symmetries.
Handout
Other

Ic Teachers: Line or Reflective Symmetry

For Students 3rd - 8th Standards
This website will provide you with a quick review of line or reflective symmetry. It also has questions and answers to help you understand line/reflective symmetry.
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.
Article
Mocomi & Anibrain Digital Technologies

Mocomi: What Is Symmetry in Math

For Students 2nd - 8th
Defines symmetry, line of symmetry, point symmetry, and gives examples.
Handout
Windstream

Ojk's Precalculus Study Page: Reflections and Symmetry

For Students 9th - 10th
An introduction to the various types of symmetries that can occur in the graphs of functions. Uses vertical, horizontal, and oblique reflections as a means of recognizing symmetries.
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.
Study Guide
Oswego City School District

Regents Exam Prep Center: Intuitive Notion of Line Symmetry and Plane Symmetry

For Students 9th - 10th
Definitions are provided line of symmetry, line symmetry, and plane symmetry, and several nice examples are provided that illustrate these definitions.
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.
Activity
Texas Instruments

Texas Instruments: Reflecting a Triangle in the Coordinate Plane

For Teachers 9th - 10th Standards
In this activity, students use the drawing and measurement tools of Cabri Jr. to blend coordinate geometry with drawing tools. They visualize symmetry and reflect a point across the y-axis.
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.
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
Maths Challenge

Maths challenge.net: Lines of Symmetry

For Students 9th - 10th Standards
A "one star" geometry problem that requires finding the visual pattern and applying logic with pattern recognition to find the lines of reflective symmetry.
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
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.
eBook
CK-12 Foundation

Ck 12: Interactive Geometry: 2.6 Reflection Symmetry

For Students 9th - 10th
Explore reflection symmetry in some different shapes.
Unit Plan
Khan Academy

Khan Academy: Symmetry of 2 D Shapes

For Students 9th - 10th
Analyze various shapes according to their reflective and rotational symmetries. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
Graphic
Lawrence Hall of Science

The Math Page: Topics in Pre Calculus: Symmetry

For Students 9th - 10th Standards
Here is a site that clearly and thoroughly explains the symmetry of even and odd functions and how to test for these types of symmetry. There are example problems solved, problems for the student to attempt, and answers to the student...
Unit Plan
CK-12 Foundation

Ck 12: Elem Math: Identifying Lines of Symmetry in Various Shapes

For Students 4th - 5th Standards
[Free Registration/Login may be required to access all resource tools.] In this learning module, students are asked to identify where a line of symmetry should be and whether a 2D shape has a line of symmetry. Includes video...
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 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.

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