Worksheet
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Reflections

For Students 10th
In this reflections activity, 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 diagram shown...
Worksheet
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Congruence Statements

For Students 10th
In this congruence statements worksheet, 10th graders solve and complete 16 various types of problems. First, they complete each congruence statement listed. Then, students graph each set of points on the coordinate plane provided. They...
Worksheet
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Geometry Exam

For Students 6th - 10th
In this reflections and symmetry worksheet, students draw lines of symmetry in shapes and patterns and reflect letters over lines in graphs. Students complete 20 problems.
Lesson Plan
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Perfectly Puzzling Pentominoes

For Teachers 2nd
Second graders utilize manipulatives (pentominoes) to demonstrate knowledge of: lines of symmetry, slides, reflections (flips), rotations (turns), area, and perimeter. This lesson gives students a meaningful way to practice these...
Lesson Plan
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The Geometry of Paul Goble's Artwork

For Teachers 4th - 8th
Students examine the concepts of geometry used by Paul Goble in his book Adopted By The Eagles. After analyzing Mr. Goble's work they create an original piece featuring symmetry, pattern, repetition, and other principles of geometry....
Lesson Plan
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Transforming Triangles

For Teachers 6th
Sixth graders graph translations (slides) and reflections (flips) on a coordinate plane. They visualize and identify geometric shapes after applying transformations on a coordinate plane. Finally, 6th graders write a paragraph telling...
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Symmetry: Reflections

For Students 7th - 9th
In this symmetry worksheet, students reflect a series of figures over given lines and rotate figures around given points as indicated.
Lesson Plan
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Transformations Using the Geometer's Sketchpad

For Teachers 8th - 9th
Young scholars discover rules for single transformations, rules for composition of transformations, when a figure has transformation symmetry, and if a transformation is congruent to its preimage.
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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Symmetry: Theory, Reality and Art!

For Teachers 9th - 10th
Students explore the concept of geometric symmetry. In this geometric symmetry lesson, students walk around their school and take pictures of objects that demonstrate symmetry. Students use Microsoft Paint to draw the lines of symmetry...
Lesson Plan
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Symmetry In Nature

For Teachers 6th - 12th
Students investigate the symmetry that is found in nature. They view shapes and patterns in nature while looking at images. Students look for tessellations while obtaining photographs with a digital camera. The information is used for...
Lesson Plan
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Geometry and Symmetry

For Teachers 4th - 6th
Pupils examine tessellations and their geometric properties. The instructional activity and discussions may be used to develop students' understanding of polygons and symmetry as well as their ability to analyze patterns.
Lesson Plan
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Geometry History Lesson

For Teachers 10th
Tenth graders investigate the early history of geometry. In this geometry activity, 10th graders investigate translations, rotations, and reflections. They also solve problems with line of symmetry and rotational symmetry while reviewing...
Lesson Plan
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Seeing Double

For Teachers 6th - 8th
Learners develop an intuitive definition for symmetry after viewing a PBS video. They examine asymmetrical patterns and demonstrate their knowledge by changing them to symmytrical.
Lesson Plan
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Mathematics in Art?

For Teachers 5th
Fifth graders view prints of M.C. Escher's work. They look at examples of geometric figures and polygons and discuss places they have seen them. Students create their own tessellations. They write a report about the process they used in...
Lesson Plan
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Terrific Tessellations

For Teachers 4th - 6th
Pupils explore tessellations that are found in nature and everyday objects. They observe the works of M.C. Escher. Students create their own tessellations using pencil and paper.
Lesson Plan
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Geometry Journal: Isosceles Triangles

For Teachers 10th - 12th
In this isosceles triangles worksheet, students justify and determine the symmetry of an isosceles triangle. They explore the bisector of rectangles. This three-page worksheet contains two problems. Answers are listed on page three.
Worksheet
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Polynominoes

For Students 10th
In this polynominoes worksheet, 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 and draw...
Lesson Plan
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Symmetry of Flags

For Teachers 9th - 12th
Students 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 respect to...
Lesson Plan
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Geometry, Measurement & Reasoning

For Teachers 7th - 9th
Students complete worksheets involving rotational symmetry. In this geometry activity, students complete worksheets to identify rotational symmetry and rotations. They compare and contrast rotated figures. Students examine the...
Lesson Plan
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Geo Jammin' By DeSign - Day 3, Lesson 15: The Quiltmaker's Gift

For Teachers 2nd - 3rd
Learners listen to a read aloud of The Quiltmaker's Gift by Jeff Brumbeau finding examples of symmetry in the illustrations in the book.
Lesson Plan
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Introduction to Fractals: Infinity, Self-Similarity and Recursion

For Teachers 9th - 12th
Students think about several of the concepts from fractals, including recursion and self similarity. They use mathematical concepts of line segments, perimeter, area and infinity are used, and skill at pattern recognition is practiced.
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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Circles And Cylinders

For Teachers 6th - 8th
Students investigate some of the mathematical concepts involved in the study of circles. They first practice finding the circumference of a circle by finding the diameter and performing the calculation. The lesson delivery is done using...

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