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Pennsylvania Department of Education
Volume and Surface Area
Build boxes using unit cubes to compare surface area and volume. The group performs multiple experiments to determine properties of volume, such as if it makes a difference which order the dimensions are multiplied in. Extensive...
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Fish Tanks: Volume and Surface Area
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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The Luxor Hotel Contract
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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Surface Area with Polydrons
Students explore measurements by analyzing geometric shapes. In this surface area lesson, students identify the terms volume, weight, perimeter and area in order to find the requested measurements of specific polygons. Students utilize...
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The Value of Volume
Young scholars measure the perimeter and area of their polygons. In this geometry lesson, students calculate the volume and area using the correct tools. They calculate the time and temperature and the perimeter and side lengths of...
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Geometry, Measurement & Reasoning
Students measure prisms and determine their volume. In this measurement and reasoning lesson, students estimate the volume and area of prisms. They measure given boxes. Students use paper to create prisms and cylinders. They determine...
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New Boxes From Old
Learners find the volume and surface area of a rectangular box (e.g., a cereal box), and then figure out how to convert that box into a new, cubical box having the same volume as the original. As they construct the new, cube-shaped box...
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TE Activity: The Boxes Go Mobile
Middle schoolers create a mobile of boxes and cubes that they made in a previous lesson that can be accessed from this page. They design the mobile using method that an engineer would use to balance the items based on surface areas and...
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Dairy Barn
Agriculture is truly a math-based profession! Help the dairy farmer determine the supplies needed to complete his barn. Using given dimensions, learners build equations and use units to determine the correct amount of materials.
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Greenhouse Management
Who knew running a greenhouse required so much math? Amaze future mathematicians and farmers with the amount of unit conversions, ratio and proportional reasoning, and geometric applications involved by having them complete the...
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Task: Miniature Golf
"Fore!" All right, no one really yells this out in miniature golf, but this well-defined activity will have your charges using lots of numbers in their unique design of a miniature golf hole. Included in the activity criteria is the...
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Cooking Up Something Good
Students compare and convert units of measurement within the United States customary system and within the metric system by baking cookies. Students discuss how to double the cookie recipe, how to make only half of the recipe, and how to...
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Fences
Pupils design a fence for a backyard pool. Scholars develop a fence design based on given constraints, determine the amount of material they need, and calculate the cost of the project.
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The Circle's Measure
Students explore circumference and diameter. For this math lesson, students apply their knowledge of circumference and diameter to solve mathematical riddles. Students apply this knowledge to find circumference and diameter of various...