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Illustrative Mathematics

Hexagonal Pattern of Beehives

For Teachers 9th - 12th Standards
Young geometers and biologists investigate the math of nature in an activity that is just the bee's knees. Participants will study the tessellations of hexagons in a beehive, along with the natural rationale behind the specific shape....
Lesson Plan
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Transformations

For Teachers 9th - 11th
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 --...
Lesson Plan
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Punch Patterns

For Teachers 5th
Fifth graders duplicate patterns, guess pattern results and identify the symmetries created. They are given an instructional handout, 5th graders replicate the patterns demonstrated by folding the paper and punching the appropriate...
Lesson Plan
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Are We the Same?

For Teachers 1st - 3rd
Pupils 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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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.
Learning
School Mathematics Project

Resource Sheets

For Students 4th - 8th Standards
This extensive and far-reaching collection of worksheets puts a new twist on many basic concepts. Learners use multiplication to trace a path from one point to another, tile a plane by converting between improper and proper fractions,...
Lesson Plan
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Symme"tree"

For Teachers 2nd - 4th
Students 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.
Lesson Plan
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Symmetrical Journals

For Teachers K - 3rd
Students identify symmetrical shapes around their classroom and make symmetry journals. In this symmetry lesson plan, students make drawings of symmetrical shapes inside their journals.
Lesson Plan
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Cutting Corners

For Teachers 2nd
Second graders examine two-dimensional shapes using their characteristics. In this shapes lesson, 2nd graders identify similarities and differences by using cut out shapes, diagrams, mirrors, and graphic organizers.
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Whatever Floats Your Boat

For Teachers 2nd
Second graders make boats by folding paper. They identify and draw shapes made during the creating process and place lines of symmetry on them. They demonstrate their understanding by completing an activity sheet imbedded in this plan.
Worksheet
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Polynominoes

For Students 10th
In this polynominoes learning exercise, 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...
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Transformation

For Teachers 3rd
Third graders investigate symmetry by reflecting objects in different angles. In this geometrical transformation lesson, 3rd graders define the terms translation, rotation and reflection in order to physically turn geometric...
Worksheet
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Math Lab

For Students 10th
In this polygons and angles learning exercise, 10th graders complete 5 different questions related to polygons and angles, in addition to symmetry and transformations. First, they define polygon and how they are named. Then, students...
Lesson Plan
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Seeing Double

For Teachers 6th - 8th
Students develop an intuitive definition for symmetry after viewing a PBS video. They examine asymmetrical patterns and demonstrate their knowledge by changing them to symmytrical.
Worksheet
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Polygons

For Students 10th
For this polygons worksheet, 10th graders solve and complete 27 various types of problems. First, they determine how many lines of symmetry a square has and if it is a parallelogram. Then, students find the number of lines of symmetry in...
Lesson Plan
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Cross-Stitching a Frog Bookmark

For Teachers 4th - 5th
Students identify symmetry and create their own frog design. Students apply hand-eye coordination in placing their designs of cross-stitch netting. Students identify with new textures. Students present and analyze their design once...
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Geo Jammin' By DeSign - Day 3, Lesson 15: The Quiltmaker's Gift

For Teachers 2nd - 3rd
Students listen to a read aloud of The Quiltmaker's Gift by Jeff Brumbeau finding examples of symmetry in the illustrations in the book.
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Geometry and Quilting

For Teachers 4th
Fourth graders combine geometry and language arts skills while examining quilt-making. After identifying the geometric shapes contained in quilts, they write stories to encompass the quilt border. Students conclude by creating and...
Lesson Plan
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Geoboard Ideas

For Teachers 3rd - 4th
Pupils build polygons on their geoboards. In this geometry lesson plan, students build and then draw it on paper and label it. Pupils then switch with a partner to try an make a symmetrical shape.
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Geometric Construction

For Teachers 7th
Seventh graders investigate some concepts associated with geometric shapes. They study the bisector segment and the perpendicular line to a given line. Students conduct analysis with the goal of deepening observation and deduction...
Lesson Plan
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Quilt Squared

For Teachers 4th - 6th
Students study West Virginia quilts. In this mathematics lesson plan, students use symmetry, geometric shapes, and patterns to create their own quilt square.
Worksheet
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Lines of Symmetry

For Students 4th - 6th
In this lines of symmetry worksheet, learners check yes or no after determining whether diagrams show lines of symmetry. A reference web site is given for additional activities.
Lesson Plan
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Drawing Lines of Symmetry

For Teachers 3rd
Third graders explore the concept of symmetry using geometric shapes, capital letters and various other shapes. They fold shapes to show symmetry, draw lines of symmetry and create symmetrical designs.
Lesson Plan
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Symmetry of Flags

For Teachers 9th - 12th
High schoolers explore, examine and study the symmetry of the flags of individual countries in the EU. They identify and describe the reflection and rotation symmetries of two-dimensional shapes and assess how symmetry changes with...