Lesson plan

Model solutions to real world problems involving the volume of a sphere by using the relationship to the volume of a cylinder

teaches Common Core State Standards CCSS.Math.Content.8.G.C.9 http://corestandards.org/Math/Content/8/G/C/9

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Big Ideas: Volumes of cylinders, cones, and spheres have comparable pieces such as radius and height. The relationship between the volume of a sphere and a cylinder both conceptually and computationally in real-world scenarios. This task requires students to think about how the volume of a sphere is related to the volume of a cylinder both conceptually as well as computationally. Students will have to support their reasoning with diagrams as well as calculations. Students must know and understand the volume of a cylinder prior to working through this lesson. Advanced students must know how to find a cube root. Advanced students will also have to draw on prior knowledge of volume of a prism from grade 7. Vocabulary: sphere, radius, diameter, cylinder, height, volume Special Materials: Play dough in cylindrical containers (optional for kinesthetic learners)