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Virginia Department of Education

High School Mathematics Geometry Vocabulary Word Wall Cards

For Teachers 9th - 10th
Having a good working knowledge of math vocabulary is especially important for geometry learners. Here are 119 pages worth of wonderfully constructed definitions, constructions, formulas, properties, theorems, and postulates. This is a...
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Triangles

For Teachers 5th - 6th
In this math worksheet, students answer 3 questions about an equilateral triangle. Students then answer 3 questions about isosceles triangles. Students then calculate missing angles on isosceles triangles.
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Geometry Exam

For Students 6th - 10th
In this reflections and symmetry instructional activity, learners draw lines of symmetry in shapes and patterns and reflect letters over lines in graphs. Students complete 20 problems.
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Geometry: Tessellations

For Teachers 2nd - 3rd
Learners create tessellations with computer software while applying their knowledge of reflections, rotations, and translations.
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Reflecting a Rectangle Over a Diagonal

For Teachers 7th - 9th Standards
Use the handout as guided or independent practice in drawing a reflection of a rectangle over a line. Three rectangles are provided for practice in addition to a critical thinking question.
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Transformational Geometry Using the Geometer's Sketchpad

For Teachers 6th - 8th
Students complete a webquest on the various types of symmetry. Using a computer, they explore the concepts of transformational geometry and identify points, segments, lines and planes. They experiment with the rotation of a quadrilateral...
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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 plan gives students a meaningful way to practice these...
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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....
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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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Geometry and Symmetry

For Teachers 4th - 6th
Students examine tessellations and their geometric properties. The lesson plan and discussions may be used to develop students' understanding of polygons and symmetry as well as their ability to analyze patterns.
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Symmetry: Theory, Reality and Art!

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

For Teachers 6th - 12th
Pupils 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...
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Transformations Using the Geometer's Sketchpad

For Teachers 8th - 9th
Students 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.
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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...
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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.
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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.
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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...
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Transformation

For Teachers 3rd
Third graders investigate symmetry by reflecting objects in different angles. In this geometrical transformation lesson, 3rd graders define the terms translation, rotation and reflection in order to physically turn geometric...
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Angles, Symmetry, and Quadrilaterals in Four Exercise Sets

For Students 8th - 11th
For this angles worksheet, students calculate the size of angles, draw lines of symmetry, and form quadrilaterals in four exercise sets.  The solutions are provided.
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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.
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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.
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Circles And Cylinders

For Teachers 6th - 8th
Middle schoolers 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...
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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...
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Math Lab

For Students 10th
In this polygons and angles instructional activity, 10th graders complete 5 different questions related to polygons and angles, in addition to symmetry and transformations. First, they define polygon and how they are named. Then,...

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