Lesson plan

8. Find volume of three-dimensional figures (A)

teaches Common Core State Standards CCSS.Math.Content.7.G.B.6 http://corestandards.org/Math/Content/7/G/B/6
teaches Common Core State Standards CCSS.Math.Content.7.NS.A.3 http://corestandards.org/Math/Content/7/NS/A/3
teaches Common Core State Standards CCSS.Math.Practice.MP4 http://corestandards.org/Math/Practice/MP4
teaches Common Core State Standards CCSS.Math.Practice.MP5 http://corestandards.org/Math/Practice/MP5
teaches Common Core State Standards CCSS.Math.Practice.MP7 http://corestandards.org/Math/Practice/MP7
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Lesson objective: Apply knowledge of volume of prisms.

This lesson provides an opportunity for students to apply their knowledge and understanding of volume of prisms to a real-life situation. Students are asked to find the total volume of two boxes of contructions toys and each of three storage bins.  Students make an argument for which storage bin should be chosen to hold the construction toys.

Key Concept students will use: 

  • Surface area and volume have the same meaning for non-rectangular prisms and pyramids as for rectangular prisms.

Skills students will use:

  • Finding volume of rectangular prisms (Grade 5, Unit 1)
  • Finding area of two-dimensional shapes (Grade 6, Unit 10)
  • Solve problems involving surface area and volume (Grade 6, Unit 11)

Students engage in Mathematical Practice 1 (Make sense of problems and persevere in solving them) as they find the volume of 5 seperate prisms, find the total volume of two prisms and compare that volume to the volume of the trapezoidal prisms.  Students then make an argument for thier answer choice.

Key vocabulary: 

  • prism
  • volume