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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

Are We the Same?

For Teachers 1st - 3rd
Students define and discuss symmetry, line of symmetry, and congruency. They cut shapes out of construction paper, identify the line of symmetry, and if they are symmetrical and/or congruent.
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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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Lesson Plan
Curated OER

Symmetrical Designs with Pretzels and Marshmallows

For Teachers 5th
Fifth graders create designs that have lines of symmetry using pretzel and marshmallows. In this symmetry design instructional activity, 5th graders work in groups using graph paper, rulers, and toothpicks to plan their own lines of...
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Lesson Plan
Curated OER

Symme"tree"

For Teachers 2nd - 4th
Young scholars practice drawing lines of symmetry after the teacher draws shapes on the board. They create a class symme"tree" using only symmetrical shapes to decorate it.
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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 lesson, 2nd graders get to know polygons by studying the vocabulary and finding polygons in their classroom. They create these shapes and then find their...
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Lesson Plan
Curated OER

Reflections of Symmetry

For Teachers 2nd - 4th
Young scholars 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

Exploring Symmetry

For Teachers 4th - 5th
Students use a software program to create artwork and to manipulate images to study mirror and rotational symmetry. They take pictures of items in their environment in which they identify symmetry.
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Lesson Plan
Curated OER

Symmetry Monsters

For Teachers 2nd - 4th
Young scholars discuss and study the word symmetry. They examine letters of the alphabet, shapes, and artwork and decide if they are symmetrical or not. Then they create their own symmetry monsters.
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Lesson Plan
Curated OER

Let's Learn about Symmetry

For Teachers 1st - 3rd
Students explore symmetry in architecture.  In this cross curriculum art  and architecture lesson, students fold paper to illustrate symmetry and identify symmetrical and asymmetrical shapes.  Students observe photographs or take a walk...
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Lesson Plan
Curated OER

Symmetry in My World

For Teachers 2nd
Second graders demonstrate understanding of symmetry and identify objects that have symmetry. They use a mirror to get a visual illustration of what symmetry is. They create a collage of symmetrical pictures they find in magazines.
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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. For 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

Parallel and Perpendicular Lines

For Teachers 4th
Fourth graders create a dance with a partner that shows parallel and perpendicular lines. In this lines lesson plan, 4th graders create symmetrical designs and line pairs with their partner.
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Lesson Plan
Curated OER

Symmetry in Shapes and Everyday Objects

For Teachers 5th
Fifth graders discover lines of symmetry for shapes and everyday objects. In this lines of symmetry lesson, 5th graders use a butterfly outline to find lines of symmetry. Students analyze everyday objects for symmetry and use...
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Lesson Plan
Curated OER

Math Lesson: Rotational Symmetry

For Teachers 4th - 7th
Students analyze lines of symmetry and rotational symmetry in designs. They practice dividing a shape along its line(s) of symmetry and discuss the relationship between lines of symmetry and number of sides as well as rotations.
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Lesson Plan
Curated OER

Math: Symmetry and Similarity

For Teachers 6th - 8th
Pupils describe the differences between congruence and similarity. After explaining the motions that indicate congruency of two shapes, they complete worksheets to draw lines of symmetry and similar shapes. With straws and twist ties,...
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Lesson Plan
Curated OER

Shape and Space: Symmetry

For Teachers 3rd - 5th
Students discuss and work with lines of symmetry. In this symmetry lesson, students start with a warm up activity on metric conversion. They talk about the definition of symmetry and reflection before completing a worksheet.
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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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Lesson Plan
Curated OER

Geo Jammin' By DeSign - Day 3, Lesson 16: The ABC of Symmetry

For Teachers 2nd - 3rd
Students follow directions in the ABC of Symmetry to make a butterfly which shows a line of symmetry.
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Lesson Plan
Curated OER

Symmetry in Paper Airplanes

For Teachers 5th - 8th
Young scholars explore symmetry.  For this geometry and scientific inquiry lesson, students design paper airplanes with middle line symmetry, as well as right, obtuse, and acute angles.  Young scholars measure the plane's angles using a...
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Lesson Plan
Curated OER

Creating and Destroying Symmetry

For Teachers 9th - 12th
Learners 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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Lesson Plan
Curated OER

Symmetry

For Teachers 5th - 8th
Learners 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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Lesson Plan
Curated OER

Aloha Symmetry

For Teachers 1st - 2nd
Learners create handcrafted paper Hawaiian quilt squares. They do this to show the concept of symmetry across two lines of reflection.

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