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Geometry, Measurement & Reasoning
Students complete worksheets involving rotational symmetry. In this geometry lesson plan, students complete worksheets to identify rotational symmetry and rotations. They compare and contrast rotated figures. Students examine the...
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Spiral Symmetry
Taking the notion of symmetry to the next level, this looks at combining rotation and translation symmetry to build spiral symmetry in three dimensions. Using the Zome modeling system and an instructor’s guidance, geometers try to build...
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Geometric Transformations
Learners examine images and preimages of a mapping and identify isometry. They view images by M.C. Escher, observe teacher demonstrations, and create a translation image, a rotation image, and a dilation.
Gatton Park
Magical Maths
A variety of activities take scholars outside the classroom to explore shapes, symmetry, measurement, patterns, sorting, and time in nature. Learners participate individually, and in teams, to measure found objects, go on a scavenger...
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Equilateral Triangle Symmetries Closure Activity
Students explore the symmetries of an equilateral triangle. In this lesson on symmetry, students determine the composition of given equilateral triangles using both rotational and reflectional symmetries.
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Reflections of Symmetry
Students 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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Symmetry
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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Symmetries of a Quadrilateral I
Learners examine the properties of quadrilaterals from the point of view of rigid motion. Different types of quadrilaterals are characterized by their symmetries, so learners explore the symmetries of a described quadrilateral to...
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Dihedral Figures
Middle and high schoolers perform transformations. For this web based lesson, students explore dihedral figures. They use the web tools to translate, rotate, and reflect figures. Pupils identify lines of symmetry.
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Rotational Symmetry
For this math worksheet, students examine the shapes given in two dimensions. They determine which ones are symmetrical to each other.
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Symmetries of a Quadrilateral II
Learners investigate the symmetries of a convex quadrilateral in a collaborative activity. Rigid motion and complements are explored as learners analyze different cases of reflections across a line.
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The Rotating Grille
Students experience the geometric method of coding by actual construction and use of a rotating grille. Students use rotations and reflections to code and decode messages. Students explore nomenclature and symmetry.
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Turn Symmetry
Fourth graders observe geometric patterns to determine if they show rotational or point symmetry. They participate in the a demonstration lesson with a triangle. They create their own designs that show rotational or point symmetry.
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Reflections
In this reflections learning exercise, 10th graders solve and complete 34 different problems that include determining various reflections. First, they trace the figure and draw its reflection in each line. Then, 10th graders use the...
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Symmetry
For this symmetry worksheet, students use the alphabet to determine how many letters have a mirror plane, rotational axis, or an inversion center. Students determine the symmetry elements and the point group for different chemical...
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Symmetries in Quadrilateral Tilings
Students analyze symmetries of quadrilateral tilings and discover how various types of symmetries, used alone or in combination, can generate the same pattern in more than one way.
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The Geometry of Indigenous Art
Students examine the concepts of symmetry, rotations, reflections, translation, dialations, and tessellations and apply them to indigenous art. They also do Internet research and create artwork (painting, pottery, computer graphic design).
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Translations, Reflections, and Rotations
Students are introduced to the concepts of translation, reflection, and rotation. They practice translating, reflecting, and rotating two-dimensional objects on the coordinate plane. students use computers to learn about the three concepts.
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Tessellations: Geometry and Symmetry
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...
Bowland
DanceStar
Express dance moves mathematically. Scholars dissect dance routines and express them using mathematical notation, such as translations and rotations. They use video clips to investigate seven different dance genres.
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Science and Math Lab (Students Look at Symmetry in Nature)
Students study patterns. In this symmetry in nature lesson, students examine objects to determine what type of symmetry they have. They work in small groups to rotate through stations that have objects for them to study.
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Lines of Symmetry
Fourth graders demonstrate lines of symmetry using polygons, pentominoes, and block letters of the alphabet. They describe, identify, and analyze characteristics and properties of geometric shapes.
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Everything You Wanted to Know About Symmetry
Second graders, in groups, rotate through four workstations that reinforce the concept of symmetry. They spend about fifteen minutes at each workstation.
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Investigate the Rigid Motions of Reflection, Rotation, Translation, and Dilation
Students investigate the rigid motions of reflection, rotation, translation, and dilation. This investigation be accomplished through classroom instruction and exploration using Geometer's Sketchpad.
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