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Lesson Plan

4. Connecting Area and Volume Formulas (C)

teaches Common Core State Standards CCSS.Math.Content.5.MD.C.5b http://corestandards.org/Math/Content/5/MD/C/5/b
teaches Common Core State Standards CCSS.Math.Practice.MP6 http://corestandards.org/Math/Practice/MP6
teaches Common Core State Standards CCSS.Math.Practice.MP7 http://corestandards.org/Math/Practice/MP7
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Lesson objective: Extend understanding of area measure and volume formula to discover that the area can be multiplied by the height of a right rectangular prism to compute volume.

Students bring prior knowledge of area from 3.MD.5-6 and volume from 5.MD.C.1-4. This prior knowledge is extended to computing volume as students utilize the volume formula b x h where b is the area of the base. A conceptual challenge students may encounter is understanding that the base area is being multiplied by the dimension of height. 

The concept is developed through work with a right rectangular prism, which shows students a base area being iterated by the dimension of the height.

This work helps students deepen their understanding of operations because the base area is being muliplied by the height of a right rectangular prism. 

Students engage in Mathematical Practice 6 (attend to precision) as students will specify and differentiate between units of measure (unit, square unit, cubic unit). 

Students engage in Mathematical Practice 7: Look for and Make Use of Structure as they connect the structure to multiplicative reasoning, recognizing the iteration of layers when computing volume.

Key vocabulary:

  • area
  • iterate
  • right rectangular prism
  • volume

Special materials needed:

  • graph paper
  • isometric dot paper
  • unit cubes
Related content

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Solving problems involving volume

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