Lesson plan

Model solutions to real world problems involving the volume of a cone 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: We can use the relationship between the volume of a cone and a cylinder, both conceptually and computationally, to solve real-world problems. The volumes of a cylinder and cone have comparable pieces such as radius and height. This lesson focuses on students comparing the volume of the cone to the volume of a cylinder. They have to draw on prior knowledge of the area of a circle and for the advanced learners, the Pythagorean Theorem. Students pick up a general idea of volume as taking up space in the cylinder lesson and then see in this lesson that the space within a cylinder can fill three cones. They look at how changing the radius, which is a squared term, changes the volume differently than changing the height. Vocabulary: radius, diameter, height, cylinder, cone, volume, cubic centimeters