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.
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.
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.
Lesson Plan
National Council of Teachers of Mathematics

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

For Teachers 3rd - 8th
Straightforward activity designed to introduce young scholars 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.
Activity
Beacon Learning Center

Beacon Learning Center: Ask Hannah

For Students 2nd - 6th Standards
This web lesson teaches students about symmetry in two-dimensional shapes.
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: G Co Symmetries of Rectangles

For Teachers 9th - 10th Standards
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.
Unit Plan
Science U

Science U: Isometries: Reflection

For Students 9th - 10th Standards
This site from Science U gives a good example of reflection of symmetry. It also gives some background information about reflection as well.
Activity
University of Cambridge

University of Cambridge: Nrich: Happy Halving

For Students 1st - 2nd
On this one page website expand your logic, symmetry and pattern recognition knowledge while working on this challenge. The solution is available to double check your solution.
Handout
The Math League

The Math League: Symmetric Figure

For Students 3rd - 5th Standards
This tutorial features several examples of symmetric figures to explain how the line of symmetry works.
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.

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