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Lesson Plan

Solve real world problems involving volume of cones, cylinders and spheres by applying understanding of the relationship between all three figures

teaches Common Core State Standards CCSS.Math.Content.8.G.C.9

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Big Ideas: Volumes of cylinders, cones, and spheres have comparable components such as radius and height. We can use the relationship between the volume of a cone and a cylinder, both conceptually and computationally, to solve real-world problems. This task provides students with the opportunity to explore the differences between the volume relationships of a cylinder, sphere, and cone. They should have been introduced to the formulas for each in previous lessons. Students are asked to compare the volumes of each figure as they pertain to a company trying to determine bottling options for a new perfume. The advanced learners will be asked to draw on prior knowledge of unit rate along with extending knowledge to composite figures. Vocabulary: cone, sphere, cylinder, conical, spherical, cylindrical, radius, height, volume
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