Lesson plan

3. Use real-world problems involving volumes of cylinders (A)

teaches Common Core State Standards CCSS.Math.Content.8.G.C.9 http://corestandards.org/Math/Content/8/G/C/9
teaches Common Core State Standards CCSS.Math.Practice.MP1 http://corestandards.org/Math/Practice/MP1
teaches Common Core State Standards CCSS.Math.Practice.MP2 http://corestandards.org/Math/Practice/MP2
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Lesson objective: Apply knowledge of how to use the volume of a cylinder formula to a real-world context.

This lesson provides an opportunity for students to apply their knowledge and understanding of finding the volumes of cylinders to a real-life situation. Students are asked to determine which cylindrical container of chips provides the best value, if both cost the same amount.

Key Concept students will use: 

  • Volume is a measure of capacity, and incorporates all dimensions of a three-dimensional figure. There is a connection between the formulas for right prisms and cylinders, namely that both include the area of the base and the height.

Skills students will use:

  • Calculate the area of a circle. (Grade 7, Unit 11)

  • Understand that volumes are additive. (Grade 5, Unit 9)

  • Understand that the volume of a prism is the product of its height and the area of one of its bases. (Grade 5, Unit 9)

Students engage in Mathematical Practice 2 (reason abstractively and quantitatively) as they determine what information is given in the real-world context, modify dimensions as needed, and utilize those values along with the appropriate formula to find the appropriate volumes and make sense of their answer within the context of the problem.

Key vocabulary: 

  • area
  • base
  • circle
  • cylinder
  • diameter
  • height
  • prism
  • radius
  • volume