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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
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
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
Curated OER

Surface Area and Volume

For Teachers 6th - 8th
Students are introduced to the notion of surface area and volume. Students review surface area and volume by finding the area of a two-dimensional shape. They practice using the computer to create different surface area shapes.
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Lesson Plan
Curated OER

Surface Area and Volume of Similar Solids

For Teachers 8th - 10th
Students explore similar figures. In this surface area and volume lesson, students identify the relationship between the surface area and volume of similar figures.
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Lesson Plan
Curated OER

Volume and Surface Area of Right Rectangular Prisms

For Teachers 6th - 8th
Learners identify the formulas for three-dimensional figures. They use manipulatives to model problems. Students create foldables and explain volume and surface area. Learners complete worksheets and classify solids. Students sing a...
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Lesson Plan
Curated OER

Formulas for Volume and Surface Area

For Teachers 7th - 9th
Students calculate the volume and surface area of each shape. In this geometry lesson, students use nets and other three dimensional polygons to create visuals of the volume of a shape. They define important vocabulary words relevant to...
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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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Lesson Plan
Curated OER

Scale Factor- Surface Area and Volume

For Teachers 9th - 10th
Students calculate the surface area and volume of shapes. For this geometry lesson, students create different scales and calculate the volume and area for each shape. They compare and contrast between the different scales and shapes.
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Lesson Plan
Curated OER

Nets, Surface Area and Volume

For Teachers 9th - 11th
Students calculate the surface area and volume of a sphere. In this geometry lesson, students define nets, surface areas and volume of prisms, pyramids, cylinders and cones. They use the computer to create nets and analyze shapes.
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Lesson Plan
Virginia Department of Education

Out of the Box

For Teachers 6th Standards
There's no need to think outside the box for this one! Scholars measure the length, width, and height of various boxes. Results help develop the formulas for the surface area and volume of rectangular prisms.
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Lesson Plan
Curated OER

Volume and Surface Area: Which Is More?

For Teachers 6th - 8th
Students explore the volume and surface area of three dimensional figures. Through the use of video, students discover three dimensional shapes, their uses in real-life applications, and methods used to calculate their volume and surface...
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Lesson Plan
Curated OER

Surface Area and Measuring

For Teachers 10th
Tenth graders explore volume and surface area through percentages. In this geometry lesson, 10th graders analyze the surface area of two and three dimensional shapes, then use percents and ratio to compare the two.
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Lesson Plan
Curated OER

Effect on Surface Area and Volume

For Teachers 8th - 10th
Young scholars identify the effect the change of dimensions causes for the volume and surface area. In this geometry lesson, students compare perimeter, area and volume as they play around with the dimensions of the polygons. They...
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Lesson Plan
Curated OER

Fill and Wrap It Up

For Teachers 6th - 8th
Students 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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Lesson Plan
Curated OER

Measurement: Cylinders

For Teachers 8th - 10th
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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Lesson Plan
Curated OER

What is Happening?

For Teachers 7th
Review area, perimeter and volume using this lesson. After reviewing key vocabulary relating to these concepts and answering story problems, learners compute the perimeter, area, surface area, and volume of five storage boxes. 
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Lesson Plan
Teach Engineering

Boxed In and Wrapped Up

For Teachers 6th - 8th Standards
If cubes have the smallest surface area, why aren't there more cube-shaped packages? Scholars take a box in the shape of a rectangular prism, cut it up, and make new boxes in the shape of cubes with the same volume. They then brainstorm...
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Lesson Plan
Curated OER

The Luxor Hotel Contract

For Teachers 9th - 12th
High schoolers determine the surface area of the Luxor Hotel, using the square feet of the base, volume, and the volume formula. They create a scale model of the triangular/pyramid shaped hotel.
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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
Illustrative Mathematics

Painting a Barn

For Teachers 5th - 7th Standards
When painting a barn you have to calculate surface area, and that is exactly what this resource is about. Not only will your future home owners calculate the surface area, but also the cost. It is a real-life problem that every that...
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Lesson Plan
Curated OER

Volume, Surface Area for Rectangular & Triangular Prisms

For Teachers 7th
Seventh graders explore the concept of rectangular and triangular prisms. In this rectangular and triangular prism lesson, 7th graders identify various prisms as triangular or rectangular. Students discuss the various shapes of bases...
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Lesson Plan
Curated OER

Surface Area to Volume Ratio

For Teachers 7th - 10th
Students examine the surface area to volume ratio and how they relate.  In this surface area lesson students complete several activities.
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Lesson Plan
Shodor Education Foundation

Triangle Area

For Teachers 6th - 9th Standards
While the lesson focuses on right triangles, this activity offers a great way to practice the area of all triangles through an interactive webpage. The activity begins with the class taking a square paper and cutting in in half; can they...

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