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Texas Instruments
Texas Instruments: Numb3 Rs: A Group of Symmetries
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...
CK-12 Foundation
Ck 12: Interactive Geometry: 2.6 Reflection Symmetry
Explore reflection symmetry in some different shapes.
Khan Academy
Khan Academy: Symmetry of 2 D Shapes
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.
Lawrence Hall of Science
The Math Page: Topics in Pre Calculus: Symmetry
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...
CK-12 Foundation
Ck 12: Elem Math: Identifying Lines of Symmetry in Various Shapes
[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...
Beacon Learning Center
Beacon Learning Center: Ask Hannah
This web lesson teaches students about symmetry in two-dimensional shapes.
Illustrative Mathematics
Illustrative Mathematics: G Co Symmetries of Rectangles
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.
National Council of Teachers of Mathematics
Nctm: Illuminations: Mirror Tool
This interactive tool helps student visualize symmetry. The exploration provided by the site helps students explore reflective symmetry. [Requires Java.]
Shodor Education Foundation
Shodor Interactivate: Lesson: Visual Patterns in Tessellations
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...
Oswego City School District
Regents Exam Prep Center: Reflections: Line and Point
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.
National Council of Teachers of Mathematics
Nctm: Slam Ball
[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.
Illustrative Mathematics
Illustrative Mathematics: G Co Seven Circles Ii
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...
CK-12 Foundation
Ck 12: Geometry: Reflections
[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.
Texas Education Agency
Texas Gateway: Making Conjectures About Congruence Transformations
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...
Government of Alberta
Learn Alberta: Math Interactives: Exploring Transformations
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...
CK-12 Foundation
Ck 12: Geometry: Rotations
[Free Registration/Login may be required to access all resource tools.] Recognizing and identifying rotation transformations and rotational symmetry
Texas Instruments
Texas Instruments: Double Your Design
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.
Illustrative Mathematics
Illustrative Mathematics: G Co Why Does Asa Work?
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.
Other
Earth Measure: Native American Geometry Designs: Mathematical Landscaping
If you want to plant a class garden, this is a great resource for combining geometry, Native American studies, and rocks.
National Council of Teachers of Mathematics
The Math Forum: Putt Putt Golf in the Math Classroom
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...
Cornell University
Cornell University: Isometries and Patterns
Shows the different kinds of isometries and patterns, and gives examples of each kind. Includes definitions, terminology, examples, and problems.
Other
The Disgustoscope
This is a resource to teach optics, while building a modified kaleidoscope that will provide 3-dimensional images.
University of Georgia
University of Georgia: Transformations: Revisiting Congruence
This site presents information on the three basic transformations of figures in a plane: Reflections, Rotations, and Translations.
CK-12 Foundation
Ck 12: Geometry: Rigid Transformations
[Free Registration/Login may be required to access all resource tools.] Identify different types of transformations.