Lesson Plan
PBS

Pbs Learning Media: Math + Arts: Symmetry, Reflective Drawing, and Totem Poles

For Teachers 9th - 10th
In this lesson, students will create a colored pencil drawing utilizing symmetry and forms characteristic of Northwest Coast art and write a critique of their work. Media resources and teacher materials are included.
Unit Plan
Cornell University

Cornell University: Straightness and Symmetry

For Students 9th - 10th
This site, part of a planned Geometry textbook, involves real-world applications with symmetry and reflection using pictures and graphs.
Unit Plan
CK-12 Foundation

Ck 12: Geometry: Reflection Symmetry

For Students 9th - 10th
[Free Registration/Login may be required to access all resource tools.] This concept teaches students how to determine whether or not a shape has reflection symmetry and how to draw lines of symmetry.
Unit Plan
CK-12 Foundation

Ck 12: Geometry: Reflection Symmetry

For Students 9th - 10th
[Free Registration/Login may be required to access all resource tools.] Find a figure's lines of symmetry.
eBook
Mathigon

Mathigon: Geometry: Symmetry

For Students 9th - 10th
This lesson focuses on symmetry including reflectional symmetry, rotational symmetry, and palindromes. It defines each, gives examples, and practice activities.
Activity
The Franklin Institute

The Franklin Institute Online: On Reflection

For Students 9th - 10th
This is an activity site to learn more about reflective symmetry. In order to complete this activity you will need a mirror.
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.
Lesson Plan
Annenberg Foundation

Annenberg Learner: Learning Math: Symmetry

For Teachers 9th - 10th
This presentation provides a tutorial on symmetry. In the tutorial, you will do the following: learn about geometric symmetry, explore line or reflection symmetry, explore rotation symmetry, and explore translation symmetry and frieze...
Website
Primary Resources

Primary Resources: Patterns and Symmetry

For Teachers Pre-K - 1st Standards
Teachers, here's a great resource for worksheets and presentations about symmetry. Includes PowerPoint and smartboard presentations.
Activity
National Council of Teachers of Mathematics

The Math Forum: Line Symmetry

For Teachers 3rd - 5th Standards
This site from The Math Forum is a great site if you are looking for activities to engage your students in learning about line symmetry. Peruse this collection of activities for one or two or four that would be right for your students....
Activity
Rice University

Rice University: Cynthia Lanius: Designer Fractions Symmetry

For Students 3rd - 5th Standards
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.
Activity
Wolfram Research

Wolfram Math World: Reflection

For Students 9th - 10th
This site defines reflection, separates reflection into two categories of amphichiral and chiral. The site also gives formulas used in reflective symmetry including point-plane distance, position of reflected points and has links to...
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.

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