Lesson plan

Identify the dimensions of a right rectangular prism given its volume by applying multiplicative reasoning

teaches Common Core State Standards CCSS.Math.Content.5.MD.C.4 http://corestandards.org/Math/Content/5/MD/C/4
teaches Common Core State Standards CCSS.Math.Practice.MP3 http://corestandards.org/Math/Practice/MP3
teaches Common Core State Standards CCSS.Math.Practice.MP7 http://corestandards.org/Math/Practice/MP7

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Big Ideas: We can first find the area of the base of a prism by multiplying width and length and then multiplying by height to find volume. We can find the possible dimensions for a rectangular prism if we know the volume of the prism. This lesson builds on students’ work with calculating the volume of rectangular prisms by finding the product of the area of the base and height. This task asks students to determine the possible dimensions of a layer cake by designing a cake for 216 people. This task helps students to see the relationship between the three dimensions of a prism and the volume of a prism. This builds towards students’ understanding of the next 5th grade measurement standard that will require them to determine missing side lengths of rectangular prisms. Vocabulary: volume, area, rectangular prism, dimensions Special Materials: cubes (optional)