Virginia Department of Education
Exploring 3-D Geometry
Take young mathematicians on an exploration of the world of 3-D geometry with this seven-lesson unit. After first defining the terms perimeter, area, and volume and how they apply to the real world, students continue on to learn the...
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Perimeter and Area
Students calculate the perimeter and area of given figures and lengths.
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Developing Formulas for Triangles and Quadrilaterals
In this geometry worksheet, 10th graders determine the area of triangles, parallelograms, trapezoids, kites, and rhombuses. The one page worksheet contains eleven problems. Answers are included.
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Shapes and Their Insides
Learners follow a series of instructions for drawing and coloring different shapes in order to learn the difference between the perimeter and area of a polygon. Then they are asked to find the perimeter and area of a 3x4 rectangular...
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Perimeter and Area
In this perimeter and area worksheet, students find the surface area of given polygons. They determine the area of shaded regions. This one-page worksheet contains 10 multiple-choice problems. Answers are provided.
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Pick's Theorem
In this Pick's Theorem worksheet, students solve and graph 6 different problems that include using Pick's Theorem to solve. First, they use Pick's Theorem to determine the area of the shapes given as well as their own shapes drawn. Then,...
Noyce Foundation
Parallelogram
Parallelograms are pairs of triangles all the way around. Pupils measure to determine the area and perimeter of a parallelogram. They then find the area of the tirangles formed by drawing a diagonal of the parallelogram and compare their...
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What a Square
Students examine the painting "Old Man With A Gold Chain" by Rembrandt. They identify geometric shapes in the painting, measure these shapes and compare the relationships of these measurements.
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Perimeter and Area
In this measurement instructional activity, 6th graders calculate the perimeter and area for 9 different squares. Students record their answers on the lines beneath each square.
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Interior and Exterior Angles of Polygons
In this angles of polygons worksheet, 10th graders solve and complete 18 different problems that include determining various interior and exterior angles. First, they determine the measure of various angles described in the first half of...
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Area and Perimeter of Regular Polygons - An Extension
Pupils explore the relationship between area and perimeter of polygons.They measure the area and perimeter of regular polygons inscribed in a circle. Learners then discuss how as the number of sides of a regular polygon increase, the...
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Polygon Area Review Sheet
In this polygon area worksheet, students answer 8 questions involving the area of several polygons. Students are given various details of the polygon and must find lengths of various polygons.
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Area
In this area worksheet, students solve and complete 20 different problems that include the measurement of various figures. First, they determine the area of each of the triangles, parallelograms and trapezoids. Then, students determine...
Helping with Math
Geometry: Areas of Triangles
For this areas of triangles instructional activity, students observe given polygons. They determine the area of triangles, rectangles and compound figures. This one-page instructional activity contains 5 multi-step problems. This...
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Powerful Polygons
Students scan the classroom to find different common shapes. They listen as the teacher defines polygon and regular polygon. The teacher demonstrates regular polygons via the Internet and the "Math is Fun" web site. Students go outside...
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Geometry, Measurement & Reasoning
Students measure prisms and determine their volume. In this measurement and reasoning activity, students estimate the volume and area of prisms. They measure given boxes. Students use paper to create prisms and cylinders. They determine...
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Measurement
In this measurement worksheet, 7th graders solve 14 various types of problems that include completing a table with the base, height, and/or area of triangles and solving a number of word problems with measurement. They also estimate the...
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Find the Area
In this find the area worksheet, 10th graders solve and complete 18 different types of problems. First, they find the area of a figure with consecutive sides. Then, students find the area and perimeter of a square shown. They also find...
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Perimeter and Area
In this perimeter and area instructional activity, 9th graders solve 17 various types of problems, mostly word problems related to determining the area or perimeter of a geometric shape. They also determine the area and perimeter of...
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Area of Triangle
For this area worksheet, students read and problem solve the area of 8 triangles. Students show their work on each problem on the worksheet.
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Investigating Area Relationships
Learners investigate the area of various figures. They construct triangles and quadrilaterals using Cabri Jr. and discuss the relationships between different angles, side lengths, and figures.
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Areas by Dissection
In this areas by dissection worksheet, learners find the area of given composite figures. This three-page worksheet contains examples, explanations, and 16 problems. Answers are provided on page three.
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Area of Triangles and Parallelograms
In this area learning exercise, students find the area of 21 triangles and parallelograms. Students find the area of each triangle and parallelogram given a sketch and measurements of the figure.
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Surface Area with Polydrons
Students explore measurements by analyzing geometric shapes. In this surface area lesson, students identify the terms volume, weight, perimeter and area in order to find the requested measurements of specific polygons. Students utilize...