G-GMD.1.3

Use volume formulas for cylinders, pyramids, cones, and spheres to solve problems. ★

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Formative Assessments
Formative Assessments
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Students are asked to solve a problem that requires calculating the volumes of a sphere and a cylinder.
Do Not Spill the Water!
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Students are asked to solve a problem that requires calculating the volumes of a cone and a cylinder.
Snow Cones
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Students are asked to find the height of the Great Pyramid of Giza given its volume and the length of the edge of its square base.
The Great Pyramid
Virtual/Hands-on Manipulatives
Virtual/Hands-on Manipulatives
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This interactive manipulative will let you compare and calculate volumes of different solids.
Which Holds More?
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Assessment Questions
Assessment Questions
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FSA Sample Question
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Videos of Expert Instruction
Videos of Expert Instruction
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Carbon can take many forms, including foam! Learn more about how geometry and the Monte Carlo Method is important in understanding it.
Carbon Foam and Geometry
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How long will it take the tank to fill up?
Water Tank
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Michael McKinnon of Gaines Street Pies explains how when making pizza the volume is conserved but the surface area changes.
Volume and Surface Area of Pizza Dough
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Did you know that altering computer code can increase 3D printing efficiency? Check it out!
Mathematically Optimizing 3D Printing
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Guess which glass contains more soda.
You Pour, I Choose
Math Literature
Math Literature
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All the challenges revolve around knowing the sinkhole’s dimensions, however its reported dimensions vary. You can have students discuss the three reported options and debate to find the one that is most reasonable.
How Big Is The 2010 Guatemalan Sinkhole?
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How big of a building would all the cigarette butts littered every day in the United States fill? A classroom? An auditorium? A stadium?
How Big of a Problem are Littered Cigarette Butts?
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This problem will range in difficulty depending on what questions are asked and what assumptions are made (such as whether to assume an inner globe is included). In general, I have found this problem to have four stages.
How Many Gumballs Fit In The Gumball Machine?