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.
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.
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.
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.
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
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.
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: 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: 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...
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 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.
Unit Plan
Wolfram Research

Wolfram Math World: Symmetry

For Students 9th - 10th
This site provides a detailed explaination of symmetry and many links to related topics.
Graphic
Curated OER

Ic Teachers: Line or Reflective Symmetry

For Students 3rd - 8th
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.
Graphic
Curated OER

Ic Teachers: Line or Reflective Symmetry

For Students 3rd - 8th
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.
Unknown Type
Math Graphs

Houghton Mifflin: Math Graphs: Symmetry 5 [Pdf]

For Students 9th - 10th
The practice problem explores y-axis symmetry. The graph is available in PDF format.
Unknown Type
Math Graphs

Houghton Mifflin: Math Graphs: Symmetry 6 [Pdf]

For Students 9th - 10th
The practice problem explores x-axis symmetry. The graph is available in PDF format.
Unknown Type
Math Graphs

Houghton Mifflin: Math Graphs: Symmetry 7 [Pdf]

For Students 9th - 10th
The practice exercise examines origin symmetry. The graph is available in PDF format.
Unknown Type
Math Graphs

Houghton Mifflin: Math Graphs: Symmetry 8 [Pdf]

For Students 9th - 10th
The practice exercise examines y-axis symmetry. The graph is available in PDF format.
Lesson Plan
National Council of Teachers of Mathematics

The Math Forum: Multicultural Math Fair: Sonya's Symmetry

For Teachers 3rd - 8th
Straightforward lesson designed to introduce students to symmetry and reflection using MIRA mirrors. Includes two worksheets--instructions and activities are available in English and Spanish.
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.

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