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.
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...
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
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.
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...
Interactive
Government of Alberta

Learn Alberta: Math Interactives: Exploring Transformations

For Students 6th - 8th
This multimedia Learn Alberta math resource looks at real world examples of transformations found throughout West Edmonton Mall. The accompanying interactive component asks students to predict transformations through looking at...
Unit Plan
Oswego City School District

Regents Exam Prep Center: Reflections: Line and Point

For Students 5th - 8th Standards
Lesson and activities focusing on line reflection. Here you will find a detailed explanation of the concept with picture examples, opportunities for interactive practice, and supporting classroom activities in the teacher resource pages.
Interactive
National Council of Teachers of Mathematics

Nctm: Slam Ball

For Students 6th - 8th
[Free Registration/Login Required] Angles and symmetry are reviewed in this learning game. Students try to identify high-scoring paths by slamming the ball off the sides of the game board and send it on a path that collects the most tokens.
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: G Co Seven Circles Ii

For Teachers 9th - 10th Standards
In this task, seven pennies are placed in a circle so that they are all touching one in the center and their neighbors. Learners are asked to find as many rigid motions of the plane as they can which are symmetries of this configuration...
Unit Plan
CK-12 Foundation

Ck 12: Geometry: Reflections

For Students 9th - 10th
[Free Registration/Login may be required to access all resource tools.] This concept teaches students about reflections and how to find the coordinates of a reflected figure.
Activity
Other

Earth Measure: Native American Geometry Designs: Mathematical Landscaping

For Teachers 3rd - 8th
If you want to plant a class garden, this is a great resource for combining geometry, Native American studies, and rocks.
Activity
National Council of Teachers of Mathematics

The Math Forum: Putt Putt Golf in the Math Classroom

For Teachers 9th - 10th
Putt-Putt golf can be a great tool in helping students understand angles and their reflections. Here a teacher demonstrates the "Course," set up in his classroom to assist in explaining to students how to use geometry and angles in...
Unit Plan
Texas Education Agency

Texas Gateway: Making Conjectures About Congruence Transformations

For Students 9th - 10th Standards
Given geometric figures on the coordinate plane, the student will apply the definition of congruence, in terms of rigid transformations, to identify congruent figures. The student will also identify and distinguish between reflectional...
Unknown Type
McGraw Hill

Glencoe: Self Check Quizzes 2 Reflections

For Students 9th - 10th
Use Glencoe's Math Course 2 randomly generated self-checking quiz to test your knowledge of reflections. Each question has a "Hint" link to help. Choose the correct answer for each problem. At the bottom of the page click the "Check It"...
Unit Plan
CK-12 Foundation

Ck 12: Geometry: Rotations

For Students 8th
[Free Registration/Login may be required to access all resource tools.] Recognizing and identifying rotation transformations and rotational symmetry
Lesson Plan
Shodor Education Foundation

Shodor Interactivate: Lesson: Translations, Reflections, and Rotations

For Teachers 3rd - 8th Standards
This upper elementary and middle school lesson plan introduces a variety of motion geometry concepts such as translations, reflections, and rotations. Lots of interactive support for students.
Activity
Texas Instruments

Texas Instruments: Double Your Design

For Teachers Pre-K - 1st
Students learn to use pattern blocks to investigate symmetry by building a design, making its mirror image, and using the calculator to determine the value of both the design made and its reflection.
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: G Co Why Does Asa Work?

For Teachers 9th - 10th Standards
In triangles ABC and ABD, we are given that angle BAC is congruent to angle BAD and angle ABC is congruent to angle ABD. Show that the reflection of the plane about line AB maps triangle ABD to triangle ABC. Aligns with G-CO.B.8.
Unit Plan
Cornell University

Cornell University: Isometries and Patterns

For Students 9th - 10th
Shows the different kinds of isometries and patterns, and gives examples of each kind. Includes definitions, terminology, examples, and problems.
Unit Plan
Other

The Disgustoscope

For Students 9th - 10th
This is a resource to teach optics, while building a modified kaleidoscope that will provide 3-dimensional images.

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