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Escher-Esque Tessellations
Middle and high schoolers participate in a seven-part lesson creating Escher-Esque tessellations. They demonstrate their knowledge of geometric transformations after viewing a PowerPoint presentation, conducting Internet research, and...
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Similarity and Dilations - Discover Properties of Similar Figures
Learners investigate properties of similar figures. For this properties of similar figures lesson, pupils construct similar figures using Cabri Jr. They dilate their figure to create a similar one, and discuss the relationships between...
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Point Comparisons
Young geometers investigate two-dimensional figures using coordinate grids. They identify polygons and draw examples of their reflection, rotation, and translation on a coordinate grid. And they complete a worksheet practicing examples...
Shodor Education Foundation
Visual Patterns in Tessellations
Geometers explore the concept of tessellations. They use a tessellation applet to manipulate shapes and design their own tessellation using the applet.
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Shape Up: Playing with Shapes
Encourage your scholars to play with math using this shapes partner game, where players toss a number cube (possibly a die) to determine which geometric shape to draw. The students toss the cube a second time to determine whether they...
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Transformations
For any study of upper-level geometry, this presentation could be of good use. It defines three important concepts: transformation, reflection, and rotation. Although brief, this presentation could easily be used in tandem with problems...
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Tessellations: Geometry and Symmetry
Young scholars explore the concept of tessellations. In this tessellations lesson, students use an applet to construct tessellations. Young scholars use regular polygons to construct tessellations. Students find patterns and symmetry in...
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Rotations
Use this math learning exercise to have your learners practice constructing a reflection of a shape drawn on a grid by using rotation. This simple learning exercise has six problems for the pupils to solve, and includes and answer sheet.
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Geometry Practice: Loci and Transformations
This resource guides young geometers to create new polygons from others of equal area, compare an image to its reflection and find errors, conduct repeated reflections, map translations, and determine center of rotation. No solutions are...
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Geometry Practice: Transformations, Isometries, and Tessellations
Five pages for geometry practice relating to symmetry provide mathematicians with exercises on transformations and symmetry, properties of isometries, compositions of transformations, tessellations with regular polygons, and other...
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Symmetry of Road Signs
Students identify symmetry in road signs. In this geometry instructional activity, students explore objects in the real world for symmetry. They perform translation, rotation and reflection.
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Geometry Practice Exam
In this reflections and rotations worksheet, learners reflect and rotate lines in graphs and draw lines of symmetry through patterns. Students complete 24 problems.
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Translations, Reflections and Rotations
Fifth graders use the Internet to learn about translations, reflections and rotations. Students access the Transmographer program on the Internet, where they practice what they have learned. Students also complete a worksheet.
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Quaternions
In this quaternions learning exercise, students solve and complete 7 different problems. First, they read and identify quaternions as expressions in a given form of ordinary real numbers. Then, students add and subtract a few problems by...
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Geometry Standardized Test Practice
In this figures and graphs review activity, 10th graders solve and complete 23 various types of problems that include identifying various figures and graphs. First, they name the transformation that maps the unshaded figure or preimage...
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Tantalizing Tangrams
Students identify polygons and develop spatial and fractional relationships and geometric concepts by using ancient Chinese puzzle of tangrams. They develop an appreciation of the folktale by identifying its elements and then writing...
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Flips, Sides and Turns: Exploring Transformations
Students use an online dictionaries to define key geometric terms. They explore several websites to help them differentiate the terms reflections, translations and rotations as they apply to geometry and then complete an assessment...
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Geometry: Tessellations
Students create tessellations with computer software while applying their knowledge of reflections, rotations, and translations.
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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.
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Rotations
In this rotations learning exercise, students draw and label rotated images for triangles and label centers. An answer key and website reference are given.
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Rotations
In this rotations worksheet, students draw and label a rotated image for each triangle and label its center. Students complete 6 problems.
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Transformations-Shapes on the Move
Learners examine transformations. For this math lesson, students view and describe flips, slides, and turns. Learners practice making transformations with shapes.
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Effect of Transformations on Coordinates
In this effect of transformations on coordinates worksheet, learners determine the coordinates of 4 geometric shapes on a grid after a given transformation.
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Rotations and reflections
In this rotations worksheet, students complete problems having to do with shapes and their rotations, reflections, symmetry, translations, and more. Students complete 6 problems.