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.Content.5.MD.C.5c http://corestandards.org/Math/Content/5/MD/C/5/c
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 (layered) 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
• layer
• right rectangular prism
• volume

Special materials needed:

• graph paper
• isometric dot paper
• unit cubes