EngageNY
Symmetry in the Coordinate Plane
The 17th installment of a 21-part module investigates symmetry in the coordinate plane. After plotting several examples, scholars develop a rule for the coordinates of a point after reflecting over the x-axis, the y-axis, or both.
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A World of Symmetry
Middle schoolers identify lines of symmetry. In this symmetry lesson, students create objects and identify their lines of symmetry. They answer questions about lines of symmetry. Middle schoolers cut shapes out of cookie dough and...
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Spiral Symmetry
Taking the notion of symmetry to the next level, this looks at combining rotation and translation symmetry to build spiral symmetry in three dimensions. Using the Zome modeling system and an instructor’s guidance, geometers try to build...
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Rotation Symmetry
Students investigate the concept of symmetry by using various examples and performing independent practice with scaffolding provided by the teacher. They review reflection symmetry and cover the new rotation symmetry using manipuatives.
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Reflections of Symmetry
Students use video and the Internet to identify examples of bilateral and radial symmetry in the world around them. They create symmetrical reflection designs using pattern blocks and paper.
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Monster Symmetry
Third graders understand what a line of symmetry is and how to draw symmetrically. In this monster symmetry lesson, 3rd graders create an original monster that is symmetrical. Students participate in additional symmetry activities.
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Aloha Symmetry
Young scholars create handcrafted paper Hawaiian quilt squares. They do this to show the concept of symmetry across two lines of reflection.
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Symmetry
Students explore symmetry. In this geometry lesson, student identify and define bilateral symmetry, radial symmetry, pentagonal symmetry, hexagonal symmetry, and cubic symmetry. Students construct examples of these types of symmetry and...
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Creating and Destroying Symmetry
Students study the types of symmetry that appear in different basketball symbols. They point out changes that rotate symmetry from one type to another.
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Mirror Symmetry/Mirror Images
Students explore lines of symmetry in geometric shapes. In this geometry lesson, students construct angles using mirrors and rubberbands, then predict the number of images that will appear in the reflection. Students reproduce lines of...
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Symmetry and Tangrams
Sixth graders build figures out of tangrams. In this symmetry instructional activity, 6th graders view tangrams and identify the polygons included in them. Students divide into groups, identify their tangram pieces, define the lines of...
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Identifying Lines of Symmetry and Creating Reflections over a Line
Fifth graders review the concept of a line of symmetry by using pieces of paper that have pictures such as, letters of the alphabet, polygons, and designs made from polygons in order to determine if they have symmetry. The fine, two-hour...
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Brain Train
A lengthy presentation on geometric reflections is here for your young geometers. Learners consider a shape, then must choose between four reflections to find the one that is a true vertical, horizontal, or diagonal reflection of the...
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Using Symmetry to Create a Community Quilt
Learners create a class "quilt" made of paper. In this hands-on symmetry lesson, students fold paper to create symmetrical figures then work in groups to color quilt patches that will form together to make a symmetrical class quilt.
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Lines of Symmetry
Fourth graders demonstrate lines of symmetry using polygons, pentominoes, and block letters of the alphabet. They describe, identify, and analyze characteristics and properties of geometric shapes.
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Rotational Symmetry
In this rotational symmetry worksheet, 10th graders identify and compare 10 different figures illustrated on the sheet. They write the order of rotational symmetry seen in each figure as compared to the others. They also define an object...
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Symmetries of a Quadrilateral II
Learners investigate the symmetries of a convex quadrilateral in a collaborative activity. Rigid motion and complements are explored as learners analyze different cases of reflections across a line.
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Dihedral Figures
Middle and high schoolers perform transformations. In this web based lesson, students explore dihedral figures. They use the web tools to translate, rotate, and reflect figures. Pupils identify lines of symmetry.
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Middle-East Reflections
Practice symmetry and patterns with this Mid-Eastern art project. Your class will create beautiful, reflective mosaics that will brighten up the classroom! A list of necessary materials is included.
Flipped Math
Rotations
Turn the class around. Scholars define rotations of multiples of 90 degrees and create algebraic mappings for them. After an introduction to symmetry, pupils determine which letters of the alphabet have rotational and reflectional...
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Symmetrical Patterns
The class thinks about symmetry and patterns. They view several symmetrical patterns represented as dots with a mirror in between. They discuss which images are symmetrical and which are not, then color in dots to complete a few...
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The Same
These monsters are only half-drawn! Challenge scholars to observe the line of symmetry and draw in the other half to reflect the first half. There are six simple monsters in all, and scholars can color them in once finished (encourage...
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Transformations
Several practice exercises suitable for any geometry class working on transformation, symmetry, and tessellation -- especially visual representations of image translation, rotation, and reflection, symmetry, tessellations and tangrams --...
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Mirrors and How They Reflect
Students experiment with mirrors. In this Mirrors and How They reflect instructional activity, students read how mirrors reflect light. Then students perform over ten experiments and record their conclusions about mirrors and reflection....