Symmetry Teacher Resources

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Help your class discover the commutative property of addition with this exploration of the addition table. By folding and coloring the table, a symmetry is found that directs students to an understanding of this crucial mathematical property. A great activity for developing young mathematicians' ability to find and explain numerical patterns. For advanced learners, encourage them to find and explain other patterns in the table to further develop their critical thinking skills.
Can you find the line of symmetry? That's what your students will demonstrate by completing this worksheet. The task gets increasingly difficult as shapes are included that have one line of symmetry, no lines of symmetry, and multiple lines of symmetry. Extend the activity by challenging learners to create their own symmetric figures.
Students view an image from the Metropolitan Museum of Art and identify the focal point of the painting. They discuss symmetry and balance as it pertains to the images. Students use the Student LaunchPad (linked to this lesson) to help them identify these elements in the images.
Define and identify the 3 basic forms of symmetry translation, rotation, and glides with your class. They cut out and arrange paper pattern blocks to illustrate symmetry, create a Cartesian graph, and design a rug with a symmetrical pattern. Multiple web links, activities, and interdisciplinary connections are included. There really are a lot of good ideas in this instructional activity.
Fifth graders review the concept of a line of symmetry by using pieces of paper that have pictures such as, letters of the alphabet, polygons, and designs made from polygons in order to determine if they have symmetry. The fine, two-hour session should lead to a much greater understanding of symmetry. Terrific worksheets are embedded in the plan which support your teaching, and some innovative extension activities are described as well. A very impressive lesson!
What can symmetry tell us about triangles? After looking at four examples, learners will come to realize that lines of symmetry are different for equilateral, isosceles, and scalene triangles. Use this guided practice activity as an introduction to classifying triangles based on their side lengths.
Explore how lines of symmetry help define different categories of quadrilaterals. Looking at a square, rectangle, trapezoid, and parallelogram, young mathematicians discover that each shape has its own, unique symmetry. Encourage your class to look for patterns between the angles and side lengths of each shape and the lines of symmetry they found. A great resource for developing a deeper understanding of quadrilaterals.
Students explore radial symmetry.  In this 3 dimensional art and geometry lesson, students identify examples of radial symmetry in everyday objects. Students create an imprint using radial symmetry on clay tiles.
Students examine how artists structure their compositions to convey a sense of symmetry and balance. They analyze various paintings, identify objects and figures in the paintings, conduct Internet research, and evaluate paintings.
Read between the lines of symmetry to make important connections between math, art, culture, and nature.
Students examine symmetry with their bodies and create symmetrical pictures.  In this symmetry instructional activity, student view Cowboys Roping a Bear. Students discuss the composition of the painting. Students look for symmetrical elements and then draw their own picture.
Have you noticed how math and art are often intertwined? Study how artists create balance and order in their designs and artworks. They complete a radial design project and study examples of symmetry and examples of fractions or parts-to-whole relationships. 
Sixth graders discuss radial symmetry in art. In this art lesson, 6th graders observe various items that show radial symmetry and discuss this in many cultures. Students experiment with scrap copper pieces at creating radial symmetry in art.
Fifth graders demonstrate different types of lines using movement. In this line and movement lesson, 5th graders demonstrate parallel and perpendicular lines, and lines of symmetry using dance movement. They also demonstrate rhombus shadowing.
When you engage learners in creating symmetrical objects you are also building their vocabulary and math sense. Kids discuss key words such as, asymmetrical, symmetrical, balance, tint, and shade. They use these elements of design to create symmetrical masks. Tip: Not only can you talk about the use of masks in other cultures, you can also discuss symmetry, asymmetry, and balance found in nature and math.
Students examine knightly virtues and will measure Gawain's strength in the poem Sir Gawain and the Green Knight. In this poetry analysis lesson, students identify the bob-and-wheel poetic form and analyze symmetry in the poem. Students analyze color symbolism and Medieval Animals in the poem. Students write a brief essay examining Gawain as a hero.
Students practice dance to divide the space or body shape into equal sections to create symmetry in dance. In this symmetry lesson, students practice symmetrical and asymmetrical movements in dance. Students participate in move and freeze activity and mirroring activity.
Fifth graders analyze how to divide space or shape into mirror sections to create lines of symmetry. In this lines of symmetry activity, 5th graders discuss symmetry in dance, math, and living. Students participate in a dance warm-up and use specific movement patterns. Students make symmetrical shapes and use loco-motor and non-loco-motor movements. Students also participate in a mirror dance.
Fourth graders use polygons to create animal figures with symmetry. For this polygons and symmetry lesson, 4th graders create a symmetrical animal collage by cutting and gluing geometric shapes and figures from math activities.  
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 in the neighborhood and identify symmetry used in architecture.  Students participate in related web site activities and use wooden blocks to create examples of symmetrical structures.

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Symmetry