Virginia Department of Education
Surface Area and Volume of a Cylinder
Surface area or volume? Pupils first review the difference between surface area and volume. They then use a two-dimensional net that helps them develop formulas for the surface area and volume of cylinders.
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Surface Area, Who Needs it?
In this geometry lesson on cylinders, geometers explore how to find the smallest surface area for a given volume. They use their knowledge to relate it to the real world by making a model of a livestock tank.
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How Big Can a Bee Be?
Mathematicians analyze the relationships between surface area and volume. They conduct Internet research, conduct various experiments, record the data in a spreadsheet, and graph the results and compare the rate of increase of surface...
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Surface area of a cylinder
Students construct a cylinder made of paper with detachable bases. Then they are taught the formulas for finding the area of a curved surface and the total surface area of a cylinder. A great hands-on approach!
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Explora-Pond: Surface Area
Students estimate the surface area of a pond using ratios and chance methods of estimation. They gain insight into how well estimations based on chance outcomes match the average of a maximum area estimation and a minimum area estimation.
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Volume and Surface Area of Right Rectangular Prisms
Students identify the formulas for three-dimensional figures. They use manipulatives to model problems. Students create foldables and explain volume and surface area. Students complete worksheets and classify solids. Students sing a...
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Volume and Surface Area
Students explore volume and surface area. In this math instructional activity, students fill boxes with cubes to identify the volume of the boxes. Students discuss area.
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Volume of Solids: Algebra/Geometry Institute
Use this volume of solids lesson plan to have learners find the surface area and volume of cylinders, pyramids, and prisms. They place cubes inside three-dimensional figures to determine the volume. Worksheets and answers are provided.
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ExplorA-Pond: 6th Grade Area and Random Number Tables
Sixth graders estimate surface area of a pond using a random number table.
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Surface Area with Polydrons
Students explore measurements by analyzing geometric shapes. In this surface area instructional activity, students identify the terms volume, weight, perimeter and area in order to find the requested measurements of specific polygons....
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The Surface Area of a Cylinder
Students measure the circumference of a cylinder. In this cylinder lesson plan, students use round container lids and flexible rectangles to measure the circumference of the cylinder. They put the shapes together to make their own...
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ExplorA-Pond:4th Grade Surface Area
Fourth graders estimate the surface area of a pond using the chance method and the estimation method. They complete a graph and a short report comparing the results of the two methods.
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Volume, Surface Area for Rectangular & Triangular Prisms
Seventh graders explore the concept of rectangular and triangular prisms. In this rectangular and triangular prism instructional activity, 7th graders identify various prisms as triangular or rectangular. Students discuss the various...
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Fill and Wrap It Up
Learners find the surface area and volume of the solid figures by measuring the length and the height of each face and base. They use concrete models to derive formulas for finding perimeter, circumference, area, surface area, and volume...
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A Practical Application For Area
First graders investigate the concept of surface area and find the coverage for the surfaces in a building that includes carpet or walls. The application of finding the area is practical using the everyday objects to help them to make...
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Measurement: Cylinders
Math scholars observe and demonstrate how to calculate the surface area and volume of cylinders. They analyze pictures of various cylinders on a handout, solve problems on two worksheets independently, and discuss the answers to the...
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The Area of a Circle
Eighth graders find the circumference and diameter of several lids, show the relationship of the two measurements and derive the formula for finding the area of a circle. In this area of a circle lesson plan, 8th graders find...
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Surface Area of Cones
Students find the surface area of cones. In this geometry lesson, students calculate the dimensions of each three-dimensional shape and use the correct formula to solve the problem. They relate concepts of cones to the real world.
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Scale Factor- Surface Area and Volume
Young scholars calculate the surface area and volume of shapes. In this geometry lesson plan, students create different scales and calculate the volume and area for each shape. They compare and contrast between the different scales and...
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Perimeter and Area of Similar Figures
Pupils determine the relationship between perimeter, circumference, area, surface area, and/or volume of similar figures and their parts. They complete activities related to the question. Answer key included.
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Investigation-On the Surface
Students compute the surface area of 3 geometric solids to determine the shape of package that would require the least amount of paper to wrap. In this geometry lesson, students work on a two-question assessment embedded in the plan. The...
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Geometry and Measurement
Young geometers explore relationships between units of measure and objects. Three activities provide varied opportunities to practice. Learners calculate the volume of two cylinders made by rolling a piece of paper vertically and...
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The Surface Area of a Cylinder
Students find the circumference and diameter of several circles and calculate the surface area of cylinders. For this surface area of a cylinder lesson plan, students use rectangles and lids to make several cylinders. They calculate the...
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Mensuration: Area
In this area worksheet, students read story problems, draw diagrams, and find the area of described polygons. This eight page worksheet contains six problems. Answers are provided.