Curated OER
Exploring Volume of Cylinders
Tenth graders investigate the volume of a cylinder. In this geometry instructional activity, 10th graders create three-dimensional cylinders and use a ruler to determine the dimensions. The instructional activity progresses...
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Surface Area of Spheres
Students identify the properties of a sphere. In this geometry instructional activity, students calculate the surface area of spheres using the formula derived by nets. They identify the radius and diameter of the sphere.
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Maximize It!
Students design a rectangular box without a lid that has the largest possible volume using the supplied sheet of centimeter graph paper. They work in groups to construct different size boxes to determine the largest possible volume and...
Mathed Up!
Spheres and Cones
Class members learn how to apply formulas for spheres and cones with a video that begins with a review of the formulas for surface area and volume of spheres and cones. Pupils use these formulas to solve problems on a worksheet.
Curated OER
Which container holds a larger amount of popcorn?
What does popcorn have to do with math? Seventh grade mathematicians are provided an opportunity to develop a conceptual understanding of the formula for volume and to use it as a tool to solve problems. The lesson begins with a...
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Measurement
Students create two prisms out of the same paper. They calcuate the number of centimeter cubes needed to fill each prism. They discover the concept of volume.
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A Rectangular Prism and Its Net
Identify the nets for prisms and other geometric shapes. Learners calculate the surface area of the rectangular prism then sketch the shapes of prisms and other polygons. Unfolded cereal boxes are used as a visual aid, great idea!
Mathematics Assessment Project
Funsize Cans
Designing fun-size cans ... what fun! Class members use the provided questions to determine the dimensions of a can with a minimum surface area for a given volume. The task allows learners to use graphs or algebraic manipulation to...
Teach Engineering
Density Column Lab - Part 1
Mass and density — aren't they the same thing? This activity has groups use balance beams and water displacement to measure several objects. The pupils use the measurements to calculate the density of the objects.
Mathematics Assessment Project
Fruit Boxes
Perfect for visual and hands-on learners, an engaging lesson prompts pupils to consider the different-sized boxes they can create from a piece of cardboard. They develop a model to determine the size of the box with the greatest...
Curated OER
Measurement: Volume
Sixth graders determine how to find the volume of a box. For this volume lesson, 6th graders participate in a lesson in which the teacher uses the associated study guide to explain how to find the volume of a cubic figure. They use boxes...
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Area, Perimeter and Volume
In this area, perimeter and volume instructional activity, students solve and complete 12 various types of problems. First, they calculate the value for each variable in the triangle shown. Then, students find the distance of the ladder...
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Volume & Candy Creations Model
Sixth graders investigate surface area. In this surface area lesson plan, 6th graders design a box of candy that has a volume of 30 cubic inches. Students are trying to minimize surface area while keeping volume...
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Volumes of Prisms and Cylinders
Students calculate the volume of prisms and cylinders. For this geometry lesson, students are give part of the formula, and must calculate the missing parts. They use 80% accuracy for their dimensions.
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Surface Area
Learners calculate the surface area of cubes, solids and cylinders. In this geometry lesson, students define the surface area formulas for different prisms. They calculate the surface area with 100%, and 80% accuracy.
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Pump Up the Volume
Fourth graders calculate volume. In this volume lesson, 4th graders calculate, estimate, and compare units of volume in English and metric systems.
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Volume of Cylinders: Problem Solving
In this volume of cylinders worksheet, students solve 6 word problems related to the volume of various cylinders; students find volume, find height, solve reasoning problems and measure to given specifications.
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Geometry: Calculating Volumes
In this volume worksheet, middle schoolers find the volume of 8 prisms. Students are given the length, width, and height of each prism.
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Area of Complex Figures
Fifth graders use formulas for calculating areas of squares and rectangles to find area of complex figure, compare their own ideas with their classmates' ideas, and recognize that there are multiple methods for finding area of complex...
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Chapter 6: Geometry Perimeter and Area
In this perimeter and area instructional activity, students find the perimeter of various polygons. They compute the perimeter, surface area, circumference, and volume of given figures. Students explore trigonometric...
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Length, Perimeter and Area
Learners analyze characteristics and properties of two- and three-dimensional geometric shapes and develop mathematical arguments about geometric relationship
Shodor Education Foundation
Volume of Prisms
Explore the concept of volume of prisms using an applet to perform the calculations. The link to the interactive applet is embedded into the lesson plan as well as a link to associated data sheets. Get your math class to the computer lab...
Curated OER
Pacing a Gunther Chain
Students pace a Gunther Chain, a measurement used by foresters to determine distance and area. They discuss that pacing is individualized depending on age, gender, etc. They practice to find an average pace. Teams estimate, pace and...
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Calculating Perimeter and Area of Polygons
Students discuss strategies for estimating information about various shapes. Once they draw and label four shapes with perimeters of 30 units, they calculate the areas of the figures. To complete the lesson, students offer written...