Lesson plan

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

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 a cone and sphere 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 lesson builds upon students' knowledge of the cone and sphere separate from each other. It encourages students to build a relationship between the properties of cones and spheres as they relate to the cylinder. Students will compare volumes of a sphere to a cone and determine dimensions of each that will create equal volumes. Students must have prior knowledge of how to solve equations as well as how to determine square roots. Vocabulary: sphere, cone, spherical, radius, height, volume, hemisphere