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Lesson Plan
Pennsylvania Department of Education

Rotational Symmetry of Polygons and Other Figures

For Teachers 5th - 8th
Young scholars explore geometry by participating in a shape rotation experiment. In this symmetry lesson plan, students identify the term symmetry and a list of other geometry vocabulary. Young scholars analyze shapes as they are turned...
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Worksheet
Curated OER

Symmetry Worksheet IV

For Students 8th - 10th
Challenge your class to identify, label, and draw a wide range of symmetries with this worksheet. In addition, learners name symmetrical shapes and compare them to alphabet letters. This worksheet asks class members to work with lines of...
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Worksheet
Curated OER

Caley Table for the Symmetries of a Square

For Students 8th - 11th
Middle and high schoolers complete Caley's table to indicate rotating a square 90, 180, and 270 degrees. They also reflect a square across the vertical and horizontal line. This one-page learning exercise contains eight movements.
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Assessment
Math Learning Center

Fifth Grade Assessments and Scoring Checklists, Common Core State Standards

For Teachers 5th Standards
Check for understanding with a set of math assessments. Fifth graders answer questions involving multiplication and division, median and mode, rotational symmetry, and graphing.
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Lesson Plan
Curated OER

Symmetry in Kaleidoscope Designs

For Teachers 9th - 11th
Students define reflection, rotation and symmetry. In this symmetry lesson, 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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Worksheet
Curated OER

Geometry Practice Exam

For Students 6th - 12th
In this reflections and rotations worksheet, students reflect and rotate lines in graphs and draw lines of symmetry through patterns. Students complete 24 problems.
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Worksheet
Curated OER

Reflections

For Students 10th
In this reflections worksheet, 10th graders solve and complete 34 different problems that include determining various reflections. First, they trace the figure and draw its reflection in each line. Then, 10th graders use the diagram...
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Lesson Plan
Curated OER

Geometric Transformations

For Teachers 5th - 12th
Learners examine images and preimages of a mapping and identify isometry. They view images by M.C. Escher, observe teacher demonstrations, and create a translation image, a rotation image, and a dilation.
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Lesson Plan
Curated OER

Geometry, Measurement & Reasoning

For Teachers 7th - 9th
Students complete worksheets involving rotational symmetry. In this geometry lesson plan, students complete worksheets to identify rotational symmetry and rotations. They compare and contrast rotated figures. Students examine the...
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Lesson Plan
Curated OER

Spiral Symmetry

For Teachers 9th - 10th
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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Activity
Gatton Park

Magical Maths

For Teachers 1st - 4th Standards
A variety of activities take scholars outside the classroom to explore shapes, symmetry, measurement, patterns, sorting, and time in nature. Learners participate individually, and in teams, to measure found objects, go on a scavenger...
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Lesson Plan
Curated OER

Equilateral Triangle Symmetries Closure Activity

For Teachers Higher Ed
Students explore the symmetries of an equilateral triangle. In this lesson on symmetry, students determine the composition of given equilateral triangles using both rotational and reflectional symmetries.
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Lesson Plan
Curated OER

Reflections of Symmetry

For Teachers 2nd - 4th
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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Lesson Plan
Curated OER

Symmetry

For Teachers 6th
Sixth graders explore symmetry and discuss the difference between a rotation and reflection. Using hands-on activities, such as folding paper shapes, they discover how to find the lines of symmetry and symmetrical characteristics. As a...
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Lesson Plan
Curated OER

Dihedral Figures

For Teachers 6th - 12th
Middle and high schoolers perform transformations. In this web based lesson plan, learners explore dihedral figures. They use the web tools to translate, rotate, and reflect figures. Pupils identify lines of symmetry.
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Worksheet
Curated OER

Rotational Symmetry

For Students 3rd - 5th
In this math instructional activity, students examine the shapes given in two dimensions. They determine which ones are symmetrical to each other.
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Printables
1
1
Houghton Mifflin Harcourt

Unit 5 Math Vocabulary Cards (Grade 6)

For Students 6th Standards
Acute angle, line of symmetry, and vertex are a few terms you'll find in a set of 90 flashcards designed to reinforce math vocabulary. Included in the set are two types of cards; a word card printed in bold font, and a definition card...
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Unit Plan
Curated OER

Transformations in the Coordinate Plane

For Teachers 9th - 12th Standards
Your learners connect the new concepts of transformations in the coordinate plane to their previous knowledge using the solid vocabulary development in this unit. Like a foreign language, mathematics has its own set of vocabulary terms...
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Lesson Plan
Curated OER

Symmetries of a Quadrilateral II

For Teachers 9th - 10th Standards
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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Lesson Plan
Curated OER

Translations, Reflections, and Rotations

For Teachers 9th - 12th
Students are introduced to the concepts of translation, reflection, and rotation. They practice translating, reflecting, and rotating two-dimensional objects on the coordinate plane. students use computers to learn about the three concepts.
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Lesson Plan
Curated OER

Tessellations: Geometry and Symmetry

For Teachers 9th - 12th
Students examine tesselllations and their geometric properties. They have a better knowledge of polygons, can identify types of symmetry in tessellations. Also students use visulization, spatial reasoning, and geometric modeling to...
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Lesson Plan
Curated OER

Turn Symmetry

For Teachers 4th
Fourth graders observe geometric patterns to determine if they show rotational or point symmetry. They participate in the a demonstration lesson with a triangle. They create their own designs that show rotational or point symmetry.
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Worksheet
Curated OER

Congruence Statements

For Students 10th
In this congruence statements worksheet, 10th graders solve and complete 16 various types of problems. First, they complete each congruence statement listed. Then, students graph each set of points on the coordinate plane provided. They...
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Worksheet
Curated OER

Symmetry: Reflections

For Students 7th - 9th
In this symmetry worksheet, students reflect a series of figures over given lines and rotate figures around given points as indicated.

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