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Illustrative Mathematics

Numbers in a Multiplication Table

For Teachers 3rd - 5th Standards
Identifying patterns is a crucial skill for all mathematicians, young and old. Explore the multiplication table with your class, using patterns and symmetry to teach about square numbers, prime numbers, and the commutative and identity...
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Logo Licenses

For Teachers 3rd
Third graders find all the lines of reflection symmetry in a given shape, identify the order of rotational symmetry of a given shape. They create designs which have reflection symmetry, rotational symmetry (orders 2, 3, 4, 6) and...
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Math: Shapes and More Shapes

For Teachers 6th - 8th
Students locate lines of symmetry in regular polygons and predict the number of lines of symmetry in an octagon. In three different polygons, they construct all lines of symmetry and after making their prediction about the octagon,...
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Symmetrical Journals

For Teachers K - 3rd
Students examine the concept of symmetry by studying the symmetry of symbols in a wall painting and creating journals with a symmetrical design. After a class review of symmetry and identifying the line of symmetry in several objects in...
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Boarding of Symmetrical Shapes

For Teachers 2nd
Second graders use geoboards to model polygons and to practice finding lines of symmetry.
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Roger Brown

For Teachers 1st - 2nd
Students examine and discuss the use of symmetry in a painting by the artist Roger Brown. They draw a geometric shape, divide it with a line of symmetry, and create a painting using the geometric shapes demonstrating symmetry.
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Geo Jammin' By DeSign - Day 3, Lesson 13: Reflections

For Teachers 2nd - 3rd
Students use current knowledge to predict the meaning of line of symmetry. They explore symmetry using mirrors.
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Upside Down and All Around

For Teachers 2nd
Second graders discuss what a line of symmetry is, then demonstrate how to fold shape cutouts to generate lines of symmetry. They demonstrate slides, flips, and turns with objects, and write explanations of changes they observe in pictures.
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Geo Jammin' By DeSign - Day 3, Lesson 14: Mirror, Mirror on the Wall

For Teachers 2nd - 3rd
Students explore characteristics of symmetry, write a definition, and locate the line of symmetry on a shape.
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Let the Light Shine Through!

For Teachers 6th - 7th
Students display knowledge of line of symmetry by designing a geometric stained glass window pattern.
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Geo Jammin' By DeSign - Day 5, Lesson 25: Geo Jungle

For Teachers 2nd - 3rd
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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Magnificent Mandalas

For Teachers 5th - 12th
Learners examine the principle of radial symmetry and apply it to an original mandala design. They draw a design using organic and geometric shapes, repeating the design symmetrically around the paper.
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Mine Is! Is Yours?

For Teachers 1st
First graders engage in a lesson which teaches the concept of symmetry through the use of letters in the student's name. They use a piece of yarn to see if they can make symmetrical pieces out of their own names.
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No-More-In-A-Line

For Teachers 5th - 6th
Students and teacher discuss square windows and their symmetry. Students work on the problem given and discuss any difficult ideas. They work in groups to use a systematic approach to get all possible answers.
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Wardrobe

For Teachers 6th
Sixth graders examine the concept of symmetry and balance. They view a wardrobe with an inlaid design, then design and create a symmetrical pattern using two different colors of construction paper.
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History and Artistry

For Teachers 4th - 6th
Students explore the ways masks are used in various occupations and cultural ceremonies through readings, a play performance and guest speakers. They create a clay mask and a found art mask using principles of symmetry. After creating...
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Flower Pot

For Teachers 9th - 12th
Students identify and discuss the tin-glazed earthenware of viceregal Mexico including the process and the design of these two pieces. They define and apply the concept of radial symmetry. Students design and create their own Talavera...
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Pear-Shaped Bottle

For Teachers 9th - 12th
Students describe the designs on this Chinese ceramic bottle and analyze and discuss the shape of the piece. They describe how art from China arrived in Mexico during the viceregal period. Students create their own blue monochromatic...
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THE MEAN INDEX CARD

For Teachers 6th - 8th
Students cut an index card to create three similar right triangles and explore the congruencies and proportions that exist. They investigate the properties of lines and concepts of congruency, similarity, tangency and symmetry of...
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Absolute Value of Linear Functions

For Teachers 9th - 10th
Students identify and interpret how absolute value affects linear functions. They also graph linear functions and reflect them in a line of symmetry. Finally, students evaluate the absolute value of a constant using technology to...
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Daily Upkeep 5

For Teachers 4th
In this math worksheet, 4th graders complete a quick math sheet to review solving for a number that is missing in a number sentence. Then, they identify which drawing best represents a line of symmetry. Finally, students calculate how...
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TAKS 3rd Grade Daily Upkeep 8

For Teachers 4th
In this elementary math worksheet, 4th graders practice solving the 4 problems focusing on the concepts of symmetry, number patterns, and number order.
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Transformations

For Teachers 9th - 12th
Students explore the concept of transformations. In this transformations lesson, students use Geometer's Sketchpad to construct cyclic and dihedral figures. Students study reflection and rotation symmetry. Students discuss vertical,...
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Technology Integrated Lesson

For Teachers 8th - 10th
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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