Lesson plan

# 7. Solving for the height (A)

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: Apply an understanding of the volume formula base x height to determine the dimensions of a shipping container.

This lesson provides an opportunity for students to apply their knowledge and understanding of volume formulas to a real-life situation. Students are asked to determine the dimensions of a shipping container packed with juice boxes that are not unit cubes.

Key Concept students will use:

• The volume of a right rectangular prism is also equal to the product of its height and the area of its base.

Skills students will use:

• The volume of a right rectangular prism is equal to the product of its length, width, and height, which is equal to the number of unit cubes that can be packed into it.
• Understanding area (Grade 3, Unit 12)

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.

Students engage in Mathematical Practice 6 (Attend to precision) as they specify and differentiate between units of measure (unit, square unit, cubic unit). Conversions are carried out accurately within customary and metric systems.

Key vocabulary:

• area
• conversion
• iterate
• unit cube
• volume

Special materials needed:

• graph paper
• isometric dot paper
• unit cubes