EngageNY
Rotations, Reflections, and Symmetry
Lead your high school class on a journey through the world of symmetry and reflections as you discuss geometric principles. Pupils differentiate between reflections and rotations, explore rotational symmetry, and investigate how to...
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Symmetry of Road Signs
Students identify symmetry in road signs. In this geometry lesson, students explore objects in the real world for symmetry. They perform translation, rotation and reflection.
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Tilings with Multiple Symmetries
Students explore how some tilings can display rotational and/or reflection symmetry in addition to translational symmetry. Students demonstrate how these tilings can be generated using either one of the symmetry concepts and Zome System...
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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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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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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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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....
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Symmetries in Quadrilateral Tilings
Students analyze symmetries of quadrilateral tilings and discover how various types of symmetries, used alone or in combination, can generate the same pattern in more than one way.
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Symmetry in Kaleidoscope Designs
Students define reflection, rotation and symmetry. In this symmetry instructional activity, students move the graph around the coordinate plane and identify the line of symmetry. They identify the different designs of a kaleidoscope.
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Reflections
Learners explore reflection of polygons on a coordinate plane. They examine the relationships that exist between corresponding points and sides.
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Mira, Mira on the Wall: Reflections
Students investigate and perform reflections and symmetry. In this geometry lesson, students compare and contrast the relationship between reflections and symmetries.
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Reflections in the Plane
Have your class explore the concept of reflections as they use Cabri Jr. to construct a triangle and reflect it over a line. Learners reflect shapes across the coordinate plane and across the lines y = x and y = -x.
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Symmetries of Rectangles
Learners explore mapping a rectangle onto itself using rigid motion concepts, geometric intuition and experimenting with manipulatives in a collaborative task.
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Seeing Double
Middle schoolers develop an intuitive definition for symmetry after viewing a PBS video. They examine asymmetrical patterns and demonstrate their knowledge by changing them to symmytrical.
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Reflecting a Triangle in the Coordinate Plane
Learners explore geometric concepts using technology. They manipulate the TI to find important math topics. This activity requires a TI-84 or higher.
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Introducing Tessellations
Students create tessellations to increase their knowledge of the applications of geometry. They explore the different shapes of polygons.
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Reflections and Equilateral Triangles II
Given the lines of symmetry in an equilateral triangle, your learners find where the pre-image vertices are mapped onto the new image. They explore the properties of equilateral triangles, the impact of reflections, and the...
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Exponential Reflections
High Schoolers explore the concept of exponential reflections. They use their Ti-Nspire to reflect the natural logarithm function over the line y=x. Students repeat the process using different exponential functions using a slider.
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Geo Jammin' By DeSign - Day 3, Lesson 13: Reflections
Pupils use current knowledge to predict the meaning of line of symmetry. They explore symmetry using mirrors.
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Geo Jammin' By DeSign - Day 3, Lesson 14: Mirror, Mirror on the Wall
Learners explore characteristics of symmetry, write a definition, and locate the line of symmetry on a shape.
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Geo Jammin' By DeSign - Day 5, Lesson 25: Geo Jungle
Students search the school grounds for examples of symmetry in nature. They bring examples back to the classroom and write about them.
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Technology Integrated Lesson
Students investigate symmetry in the real world. In this geometry lesson, students inter-relate math and technology. They create and name a variety of polygons.
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Light Is Amazing
Pupils investigate light and its energy. They discuss the properties of light, research how much light the moon absorbed on their birthday on a website, complete a graphic organizer, and create a kaleidoscope.
Bowland
Pointzero: Confined
Groups plan their escape carefully. Three three-tiered puzzles help a story character escape their situation, each involving integer sequences, transformations, and geometric constructions. The teacher resource includes...