Lesson plan

9. Find volumes of spheres to solve problems (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 sphere formula to a real-world context.

This lesson provides an opportunity for students to apply their knowledge and understanding of finding the volume of spheres to a real-life situation. Students are asked to find the volume of different-sized tomatoes and use those volumes to determine how many tomatoes of each size will be needed to complete a recipe.

Key Concept students will use: 

  • The volume of a sphere is related to the volume of a cylinder the sphere "sits inside of."

Skills students will use:

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

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

  • Calculate the volume of a cylinder.

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, utilize those values along with the appropriate formula to find the appropriate volumes and as they make sense of their answer within the context of the problem.

Key vocabulary: 

  • circle
  • cylinder
  • diameter
  • height
  • radius
  • sphere
  • volume