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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 worksheet contains eight movements.
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Lesson Plan
Curated OER

Reflections

For Teachers 9th - 12th Standards
Learners explore reflection of polygons on a coordinate plane. They examine the relationships that exist between corresponding points and sides. 
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Worksheet
Curated OER

Rotational Symmetry

For Students 10th
In this rotational symmetry instructional activity, 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...
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Lesson Plan
EngageNY

Rotations, Reflections, and Symmetry

For Teachers 9th - 10th Standards
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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Activity
Noyce Foundation

The Shape of Things

For Students K - 12th Standards
Investigate the attributes of polygons. A thorough set of lessons presents problem scenarios for elementary through high school classes. The first lessons focus on basic characteristics of polygons, including the line of symmetry. As the...
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Lesson Plan
1
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Illustrative Mathematics

The Geometry of Letters

For Teachers 3rd - 5th Standards
Use the alphabet as a tool for teaching your class about geometric figures. Break apart capital letters into line segments and arcs. Classify angles as right, acute, or obtuse. Identify parallel and perpendicular lines. An excellent...
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Lesson Plan
Curated OER

A Wall of Symmetrical Shapes

For Teachers 3rd - 4th
Students explore line(s) of symmetry in polygons during a hands-on activity and a Student Web Lesson. They build a wall of symmetrical shapes designed and drawn by students.
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Lesson Plan
Curated OER

Folding to Make Shapes

For Teachers 2nd
Second graders identify different polygons and their attributes. In this geometry instructional activity, 2nd graders get to know polygons by studying the vocabulary and finding polygons in their classroom. They create these shapes and...
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Lesson Plan
Curated OER

Pattern Matching

For Teachers 1st
First graders examine how to determine the lines of symmetry in pictures, shapes, and patterns by completing the lessons in this unit. They make patterns that show a line of symmetry and describe it using their own language.
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Worksheet
Curated OER

Triangles and Quadrilaterals

For Students 10th
In this triangles and quadrilaterals worksheet, 10th graders solve 6 different problems related to using triangles and quadrilaterals in informal geometry. They determine how many lines of symmetry an equilateral triangle and an...
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Worksheet
Curated OER

Angles, Symmetry, and Quadrilaterals in Four Exercise Sets

For Students 8th - 11th
For this angles worksheet, students calculate the size of angles, draw lines of symmetry, and form quadrilaterals in four exercise sets.  The solutions are provided.
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Worksheet
Curated OER

Polygons

For Students 6th - 10th
In this polygons worksheet, students read about and complete many activities involving triangles, angles, and symmetry. Students complete 17 pages of activities.
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Lesson Plan
Curated OER

Shapes Are Everywhere

For Teachers 3rd
Third graders use various shapes to identify polygons and understand symmetry. They explore pattern blocks noticing their similarities and differences, then share with other team members. They draw 3 polygons in their journals and...
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Lesson Plan
Curated OER

Building Big and Strong

For Teachers 6th - 9th
Middle and high schoolers explore the concepts of architectural rigidity. They analyze a variety of polygons, and explain why some shapes add more strength to structures than others. The PBS video, "Building Big," is utilized in this plan.
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Lesson Plan
Curated OER

Shape Tool

For Teachers Pre-K - 8th
Students explore various polygons and examine how shapes can be manipulated in a variety of ways. In this shape tool lesson, students identify geometric shapes in two dimensions. Students identify and draw one line of symmetry in a...
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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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Worksheet
Curated OER

Polynominoes

For Students 10th
In this polynominoes activity, 10th graders solve 9 different problems relating to various types of polynominoes, such as triominoes and tetrominoes. First, they determine how many different types of triominoes they can locate and draw...
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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
Pennsylvania Department of Education

Rotational Symmetry of Polygons and Other Figures

For Teachers 5th - 8th
Students explore geometry by participating in a shape rotation experiment. In this symmetry lesson, students identify the term symmetry and a list of other geometry vocabulary. Students analyze shapes as they are turned 90 degrees and...
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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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Worksheet
Curated OER

Geometry Practice: Transformations, Isometries, and Tessellations

For Students 9th - 12th
Five pages for geometry practice relating to symmetry provide mathematicians with exercises on transformations and symmetry, properties of isometries, compositions of transformations, tessellations with regular polygons, and other...
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Lesson Plan
Curated OER

Ruler and Compass Constructions

For Teachers 4th - 5th
Fourth and fifth graders examine how to construct perpendicular lines and to bisect angles using rulers and compasses in this unit of lessons. They design a number of polygons using these methods.
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Lesson Plan
Curated OER

Quilt Geometry

For Teachers 7th
Seventh graders explore lines of symmetry, congruent polygons and patterns. They listen to "The Seasons Sewn," observe a PowerPoint presentation, and identify congruent polygons and visual patterns. Through an internet activity, 7th...
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Lesson Plan
Curated OER

Symmetry and Tessellations

For Teachers 6th
Sixth graders investigate tessellations and their origins. Students trace triangles to form a tessellation. They measure the angle of equilateral triangles. Students locate the line of symmetry, they create geometric squares,...

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