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Activity
Illustrative Mathematics

Use Cavalieri’s Principle to Compare Aquarium Volumes

For Teachers 9th - 10th Standards
Learners are designing a stunning new water feature for an aquarium, but they soon discover that more than just a pretty home for their fishy friends is required.  From calculating the volume of a composite shape through the abstract...
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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
EngageNY

Volume and Cavalieri’s Principle

For Teachers 11th - 12th Standards
Take a slice out of life. The ninth section in a series of 23 introduces classmates to Cavalieri's principle using cross sections of a cone and stacks of coins. Class members participate in a discussion using pyramids and how Cavalieri's...
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Interactive
Curated OER

Geometry Worksheets-volume of Sphere

For Students 10th
In this geometry worksheet, 10th graders determine the volume of a sphere, given the diameter or the radius. The one page interactive worksheet contains eight questions. Hints, clues, and answers are provided.
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Lesson Plan
EngageNY

The Volume Formula of a Sphere

For Teachers 9th - 10th Standards
What is the relationship between a hemisphere, a cone, and a cylinder? Using Cavalieri's Principle, the class determines that the sum of the volume of a hemisphere and a cone with the same radius and height equals the volume of a...
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Lesson Plan
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Virginia Department of Education

Geometry and Volume

For Teachers 7th - 12th Standards
The history of math is fascinating! Utilize a woodcut primary source image from 1492 and posters from the 1930s to help geometers apply their volume-calculation skills to real-life questions. 
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Lesson Plan
Curated OER

Volume of Solid Figures

For Teachers 7th - 11th
Learners calculate volume using the correct formula and the correct unit. They explore different prisms, spheres, cubes, and cones as they calculate volume and relate it to depths in oceans.
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Handout
Charleston School District

Volume of Rounded Objects

For Students 8th - 10th Standards
How much can different shapes hold? The answer varies depending on the shape and dimensions. Individuals learn the formulas for the volume of a sphere, cone, and cylinder. They apply the formulas to find the volume of these...
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Worksheet
CPM

Cones and Spheres

For Students 9th - 10th Standards
Geometry whizzes solve and complete 24 different problems that include determining the volume and surface area of spheres and cones. First, they use the given information to determine the volume of a cone. Then, pupils use the given...
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Worksheet
Curated OER

Surface Area and Volume

For Students 9th - 10th
In this comprehensive  instructional activity, young geometers solve a number of surface area and volume problems. Problems range from basic formula-based calculations to more challenging geometric figures and word problems. 
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Worksheet
Curated OER

Volume of Solids

For Students 10th
In this volume of solids worksheet, tenth graders solve and complete 20 various types of problems. First, they write the formula needed to find the volume of each solid. Then, pupils use the Pythagorean theorem to find the measure of the...
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Lesson Plan
Curated OER

Sphere Dressing

For Students 7th - 10th Standards
Geometric design makes a fashion statement! Challenge learners to design a hat to fit a Styrofoam model. Specifications are clear and pupils use concepts related to three-dimensional objects including volume of irregular shapes and...
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Lesson Plan
Mathematics Assessment Project

Calculating Volumes of Compound Objects

For Teachers 9th - 12th Standards
After determining the volume of various drinking glasses , class members evaluate sample responses to the same task to identify errors in reasoning.
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Lesson Plan
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Curated OER

Flower Vases

For Teachers 7th - 9th Standards
Which vase holds more water: a cylinder, sphere, or cone? Figure out which should be used for your sister's birthday bouquet with this practical word problem.
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Lesson Plan
Curated OER

Volume Review

For Teachers 5th - 8th
Students investigate the concepts of volume for rectangular prisms and spheres. They measure the volume of one balloon and then consider how many breaths it would take to fill the room with balloons. The rectangular prism being measured...
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Lesson Plan
Curated OER

Learning About Volume

For Teachers 7th - 10th
Learners explore the concept of volume. They develop formulas for volume of prisms. Then use their formulas to find missing dimensions of various prisms such as height, length, width, radius, and diameter.
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Lesson Plan
Curated OER

Volume and Surface Area

For Teachers 5th - 6th
Students explore volume and surface area. In this math lesson, students fill boxes with cubes to identify the volume of the boxes. Students discuss area.
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Lesson Plan
Curated OER

Volume of a Snow Cone

For Teachers 8th
Learners find the volume of a snow cone. They divide the snow cone into known sections, and find the are of each part. Pupils must read the scale on the snow cone, prior to plugging into the formula for its volume.
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Lesson Plan
Curated OER

Cylinder Volume Lesson Plan

For Teachers 10th
Tenth graders define the formula for cylinders and use it to solve real world problems. In this geometry lesson, pupils differentiate between area, perimeters, 2D shapes, 3D shapes, and volume of prisms, cylinders and spheres. They...
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Lesson Plan
Curated OER

Volume Worksheet I

For Teachers 8th - 9th
In this volume worksheet, students recognize three-dimensional figures, identify the proper volume formula, and then solve the equation by inserting information from a diagram into the formula. Students solve six equations.
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Lesson Plan
Curated OER

Volume of Rectangular Prisms

For Teachers 6th - 8th
Introduce the procedure needed to find the volume of a rectangular prism. Learners rank various prisms such as cereal boxes and tissue boxes from smallest to largest volume. They use an applet to find the volume and surface area of each...
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Lesson Plan
EngageNY

The Volume of Prisms and Cylinders and Cavalieri’s Principle

For Teachers 9th - 10th Standards
Young mathematicians examine area of different figures with the same cross-sectional lengths and work up to volumes of 3D figures with the same cross-sectional areas. The instruction and the exercises stress that the two figures do not...
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Lesson Plan
EngageNY

Cones and Spheres

For Students 8th Standards
Explore methods for finding the volume of different three-dimensional figures. The 20th activity in the 25-part series asks learners to interpret diagrams of 3-D figures and use formulas to determine volume. Scholars must use the...
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Lesson Plan
EngageNY

Volume of Composite Solids

For Students 8th Standards
Take finding volume of 3-D figures to the next level. In the 22nd instructional activity of the series, learners find the volume of composite solids. The instructional activity the asks them to deconstruct the composites into familiar...

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