eBook
Mathigon

Mathigon: Geometry: Symmetry in Physics

For Students 9th - 10th
This lesson focuses on symmetry in physics. The laws of nature are the name given collectively to the physical rules (usually expressed as mathematical equations) that try to explain everything we observe in the universe.
Unknown Type
Illustrative Mathematics

Illustrative Mathematics: 4.g Lines of Symmetry for Circles

For Teachers 3rd - 5th Standards
Mr. Watkins asked his students to draw a line of symmetry for a circle with center $O$ pictured below: Aligns with 4.G.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.
Activity
Texas Instruments

Texas Instruments: Symmetry With Pattern Blocks

For Teachers Pre-K - 1st
Students learn to use pattern blocks to build a design that has a line of symmetry. They use the calculator to determine the value of half the design. They predict and then find the value of the entire design.
Interactive
Math Is Fun

Math Is Fun: Symmetry Jigsaws

For Students Pre-K - 1st
Assemble jigsaw puzzles of items in nature, engineering, math, and art that display symmetry. You can customize a puzzle's rows, columns, and piece shape to make the jigsaw challenging or simple.
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: G Co.6 Symmetries of a Circle

For Teachers 9th - 10th
Suppose C is a circle with center O. Find all lines of symmetry of the circle and explain why the list is complete. Aligns with G-CO.A.
Unit Plan
E-learning for Kids

E Learning for Kids: Math: Castle in the Clouds: Space: 2 D Shapes and Symmetry

For Students 1st - 2nd Standards
Students will explore symmetry through a variety of learning games.
Handout
Lawrence Berkeley National Laboratory

Berkeley Lab: Charge, Parity, and Time Reversal (Cpt) Symmetry

For Students 9th - 10th
A simple explanation of the development of three principles of symmetry: parity, time reversal invariance, and charge conjugation.
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...
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.
Unit Plan
CK-12 Foundation

Ck 12: Elem Math: Determining Whether Various Shapes Have Lines of Symmetry

For Students 4th - 5th Standards
[Free Registration/Login may be required to access all resource tools.] In this learning module, students are asked to state whether the given 2D shapes have line symmetry. Includes video demonstrating a sample problem [1:14] and a set...
Unit Plan
CK-12 Foundation

Ck 12: Elem Math: Determining Image Modifications to Create Symmetry

For Students 4th - 5th Standards
[Free Registration/Login may be required to access all resource tools.] In this learning module, students are asked to state how many more squares on a grid need to be shaded in order to give a shape line symmetry. Includes video...
Lesson Plan
National Endowment for the Humanities

Neh: Edsit Ement: Symmetry in Sir Gawain and the Green Knight

For Teachers 9th - 10th
In this lesson plan, learners will consider Symmetry in Sir Gawain and the Green Knight. Worksheets and other supporting materials can be found under the Resources tab. This lesson plan explores symmetry in the structure and themes...
Unit Plan
CK-12 Foundation

Ck 12: Geometry: Rotation 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 rotation symmetry.
eBook
Mathigon

Mathigon: Geometry: Symmetry Groups and Wallpapers

For Students 9th - 10th
This lesson focuses on wallpaper groups. While there are infinitely many possible patterns, they all have one of just 17 different symmetry groups. These are called the Wallpaper Groups. Every wallpaper group is defined by a combination...
Handout
Other

Westerville Schools: Symmetry

For Students 5th - 8th
Find out how animal body symmetry helps organisms survive.
eBook
CK-12 Foundation

Ck 12: Interactive Geometry: 2.6 Reflection Symmetry

For Students 9th - 10th
Explore reflection symmetry in some different shapes.
eBook
CK-12 Foundation

Ck 12: 2.9 Rotation Symmetry

For Students 9th - 10th
Find out about the ways to name rotation symmetry: order, fraction of a turn, and angle.
Unknown Type
Khan Academy

Khan Academy: Draw Lines of Symmetry and Symmetrical Figures

For Students 6th - 8th Standards
Practice drawing lines of symmetry and creating symmetrical figures.
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.
Unit Plan
TED Talks

Ted: Ted Ed: Marcus Du Sautoy: Symmetry, Reality's Riddle

For Students 9th - 10th
Oxford mathematician, Marcus du Sautoy, presents a brief look of the invisible numbers that unite all symmetrical objects as he discusses prime numbers, symmetry groups, higher dimensions and other stumpers. [18:20]
Handout
Oswego City School District

Regents Exam Prep Center: Intuitive Notion of Point Symmetry

For Students 3rd - 8th Standards
This intuitive explanation shows how to determine if an object has point symmetry. The site offers examples of objects with point symmetry.
Lesson Plan
Alabama Learning Exchange

Alex: Lesson Plan: Body Symmetry of Animals

For Teachers 9th - 10th
Students will watch a slideshow about the body symmetry of animals. Included is a short quiz of animals and images. The students will determine the symmetry of each animal. Students then design their own animals. They should design one...

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