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Unit Plan
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Virginia Department of Education

Exploring 3-D Geometry

For Teachers 6th - 8th Standards
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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Worksheet
Curated OER

Problem Solving: Surface Area or Volume

For Students 4th - 7th
Strengthen young geometric muscles with this exercise in finding surface area and volume. Six problems provide practice at determining the surface area and volume of two solid figures shown in cubic units, deciding which to find given a...
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Lesson Plan
Curated OER

Surface Area, Who Needs it?

For Teachers 6th - 10th
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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Worksheet
Math Drills

Volume and Surface Area of Rectangular Prisms

For Students 7th - 10th Standards
Your learners get solid practice calculating the surface area and volume of rectangular prisms with this activity. There are ten versions of the activity for their enjoyment, and yours.
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Lesson Plan
Virginia Department of Education

Surface Area and Volume

For Teachers 9th - 11th Standards
Partners use materials to wrap three-dimensional objects to determine the formula for surface area. The groups use an orange to calculate the amount of peel it takes to completely cover the fruit. Using manipulatives, individuals then...
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Lesson Plan
Curated OER

Area, Surface, and Volume

For Teachers 9th
Ninth graders demonstrate application of area, surface, and volume in the world around us by applying formulas to a model of the classroom so they can determine the volume and surface area of the room.
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Interactive
Curated OER

Online Math Learning: Surface Area of Spheres

For Students 9th - 12th
In this surface area of spheres worksheet, learners solve 4 short answer problems. Students find the surface area of spheres, hemispheres, and cones given a radius or a radius and height.
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Worksheet
Curated OER

Surface Area of Cone

For Students 10th
In this geometry worksheet, 10th graders calculate the surface area of a cone given the radius and height. There are 8 questions with an answer key.
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Worksheet
Curated OER

Surface Area of Solids

For Students 9th - 12th
In this surface area worksheet, students evaluate the surface area of complex solids.  This one-page worksheet contains 3 multi-step problems.  Answers are provided.
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Performance
Radford University

Surface Area of Boxes

For Teachers 9th - 12th Standards
Explore surface area out of the box. Pairs investigate surface area by measuring two boxes and calculating the area of each side. Classmates trace one of the boxes onto butcher paper and create a net with the same area. Groups then...
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Unit Plan
Radford University

Surface Area and Volume

For Teachers 9th - 12th Standards
Who knew there were pyramids in China? Learners apply surface area and volume formulas to several different real-world situations. They calculate the volume and surface area of an aquarium, an ice cream cone, and Egyptian and Chinese...
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Unit Plan
Radford University

Being Green – Minimizing the Surface Area of a Soda Can

For Teachers 9th - 12th Standards
Save the world by designing a new soda can! Learners first measure the dimensions of a typical soda can and calculate its surface area and volume. They then use spreadsheet software to minimize the surface area for the volume, thus...
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Unit Plan
Radford University

Surface Area and Volume of 3-D Objects

For Teachers 9th - 12th Standards
Don't let the class tank the project. After reviewing formulas for surface area and volume, pupils design fish tanks that maximize volume. They research cost of materials online and must meet a budgetary constraint when creating their...
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Performance
Radford University

Lemonade Business - Investigating Surface Area and Volume of Containers

For Teachers 9th - 12th Standards
Boost lemonade sales by using the perfect container. For a given volume, future entrepreneurs design a container that will have the least surface area and by extension, the least cost of material. They create a two-dimensional net of...
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Lesson Plan
Curated OER

Fish Tanks: Volume and Surface Area

For Teachers 5th - 7th
Given a very realistic challenge, your young geometers design residential fish tanks in rectangular and triangular prism shapes. They compute the volume of water each will hold. They also determine the size of plastic covers for each...
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Lesson Plan
1
1
Utah Education Network (UEN)

Insides and Outsides

For Teachers 4th - 6th Standards
Give small groups handfuls of unit cubes and then dare them to build as many rectangular prisms as possible using only 12 cubes. This engaging activity serves as an introduction to the volume of solid figures. In addition to volume,...
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Lesson Plan
Institute of Electrical and Electronics Engineers

Sugar Crystal Challenge

For Teachers 3rd - 9th Standards
Blow your learners' minds with a sweet lesson on nanotechnology that uses sugar to demonstrate the difference nanoscale surface area makes in dissolving and crystal formation. Plenty of supportive background information is read to...
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Lesson Plan
Alabama Learning Exchange

How Big Can a Bee Be?

For Teachers 7th - 10th Standards
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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Worksheet
Curated OER

Surface Area of Solids

For Students 10th
In this geometry worksheet, 10th graders calculate the surface area of solids given the sides or radius. There are 20 questions with an answer key.
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Lesson Plan
Curated OER

Surface Area of Prisms

For Teachers 8th - 10th
Students compute surface area and volume of prisms. In this surface area lesson, students find the surface area and volume of rectangular and triangular prisms. Independently, students use their computers to determine the volume,...
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Lesson Plan
Curated OER

Surface Area and Volume

For Teachers 3rd - 4th
Students are introduced to the notion of surface area and volume, learn the terminology used with surface area and volume and have experimented with the surface area and volume of different prisms.
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Lesson Plan
Curated OER

Surface area of a cylinder

For Teachers 6th - 7th
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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Lesson Plan
Curated OER

Surface Areas of Prisms, Pyramids and Cylinders

For Teachers 7th - 8th
Young scholars identify and use appropriate formulas to find surface areas of solid figures, practice using formula sheet to solve textbook problems, construct solid figures of given surface area using TABS+ software program, and use...
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Worksheet
Curated OER

Volume and Surface Area

For Students 9th - 12th
In this volume and surface area learning exercise, students find the volume and surface area of 8 prisms and cylinders. Students find the volume and surface area given a diagram with various measurements labeled.

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