Virginia Department of Education 
Exploring Quadrilaterals
Sort this resource into the Use pile. Scholars investigate attributes of quadrilaterals and then use the results to sort and classify the shapes labeling each figure with their properties to justify the classifications.
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Math: Shapes and More Shapes
Students locate lines of symmetry in regular polygons and predict the number of lines of symmetry in an octagon.  In three different polygons, they construct all lines of symmetry and after making their prediction about the octagon,...
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Standard Treehouse Lesson Plan
Seventh graders investigate the concepts related to the geometry of treehouses that focuses on angles that are similar and congruent. They conduct class discussion in terms of looking at three dimensional shapes that are represented in...
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Polygons All Around Us!
Students explore the concept of polygon properties. For this polygon properties lesson, students draw polygons with different numbers of sides such as pentagons, octagons, hexagons, etc. Students identify different geometric shapes in...
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Measuring Angles
For this measuring angles worksheet, 10th graders solve and complete 8 various types of problems. First, they use a protractor to find the measure of each angle shown. Then, students find the missing angle measures. They also refer to...
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Measuring Body Angles
Learners use technology to graph and compare angles. In this geometry lesson, students range of motion in the environment. They identify the missing parts of polygons using similarity and congruence.
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Lines of Symmetry
Fourth graders identify lines of symmetry using reflections and then construct figures that have one or more lines of symmetry. In this symmetry lesson plan, 4th graders use sets of shapes, pattern blocks, a mirror, and more.
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Math and Native Americans
Students explore how math is relevant to Native Americans. Students investigate Indian culture through geometry. They describe and create geometric polygons and patterns. Students problem solve with tangram patterns to make Indian...
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Indirect Measurement with Similar Triangles
Students use similar triangles to find missing heights.  In this using similar triangles to find missing heights instructional activity, students use proportions to find the heights of missing side lengths.  Students find the...
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Chapter 19 Word Search
Here is a geometry learning exercise in which learners locate and identify various vocabulary terms related to geometry. There are twelve words located in the puzzle.
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Line Symmetry and Rotational Symmetry
Fifth graders investigate the symmetry of pattern block shapes. Students, working in groups determine whether each shape has line symmetry, rotational symmetry or both kinds of symmetry. Students determine how many lines of symmetry the...
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Dilations of 2 and 3 dimentional figures and their effect on area, surface area, and volume.
Seventh graders investigate the area and volume of 2D and 3D figures. In this geometry instructional activity, 7th graders create a storyboard explaining their knowledge of 2D and 3D shapes. They analyze their data and interpret...
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Squares and Rhombi
In this squares and rhombi worksheet, 10th graders solve 8 different problems with quadrilaterals, especially the square and rhombus. First, they use the given rhombus and the given information to find the value for each statement. Then,...
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Similar Triangles - Applied Problems
High schoolers differentiate between similar and congruent triangles. In this geometry instructional activity, students identify the angles of triangles using the similarity theorem. They apply concepts of triangles to the real world.
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Plain Figures And Measuring Figures
Seventh graders investigate the mathematical concept of a sector. They apply the concept to an example problem and then move into a more complex application. They find the area of the side of a cone. This is done as students calculate...
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Unit Squares and Triangles
This is an interesting geometry problem. Given the figure, find the area of a triangle that is created by the intersecting lines. The solution requires one to use what he/she knows about coordinate geometry, as well as triangle...
Illustrative Mathematics
Reflections and Isosceles Triangles
Geometers explore symmetries of isosceles triangles by using rigid transformations of the plane. They complete four tasks, including congruence proofs, which illustrate the relationship between congruence and rigid transformations. The...
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Transformations Using the Geometer's Sketchpad
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.
Illustrative Mathematics
Is This a Parallelogram?
If both pairs of opposite sides of a quadrilateral are congruent, is the quadrilateral a parallelogram? This task asks learners to determine the answer and to support their answer with a proof. The resource includes a commentary for...
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Investigation-Looking at Polygons
Eighth graders plot points and investigate polygons. They locate a point, using ordered pairs of integers on the coordinate plane. Students compare geometric measurements and computations on coordinate axes as they are applied to...
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Polygons in Symmetry: Animal Inventions
Fourth graders use polygons to create animal figures with symmetry. In this polygons and symmetry lesson, 4th graders create a symmetrical animal collage by cutting and gluing geometric shapes and figures from math activities.
 
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Using the Web to Explore Shapes
Third graders research the Internet to locate geometric designs in familiar buildings. They review shapes, solids, angles and symmetry as they research websites of familiar buildings in Louisville. They record the information they see...
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Seeing Double
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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Reflections
Fifth graders create a reflection of a poygon using a Mira.  They discover that a line connecting a vertiex of a polygon and the corresponding vertex of its reflection is perpendicular to the line of reflection.  Students create a glide...
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