8. Find the area of a rectangle with fractional side lengths (FP)

teaches Common Core State Standards CCSS.Math.Content.5.NF.B.4b http://corestandards.org/Math/Content/5/NF/B/4/b
teaches Common Core State Standards CCSS.Math.Practice.MP4 http://corestandards.org/Math/Practice/MP4

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Lesson objective: Find the area of a rectangle with fractional side lengths.

This lesson helps to build fluency with multiplication of fractions.  Area models are used here because it supports students conceptual understanding of multiplying fraction with their prior knowledge of using multiplication to find the area of a rectangle. This work develops students' understanding that the area of a figure is invariant.

Students engage in Mathematical Practice 4 (model with mathematics) as they find the product of two fractions by using an area model to represent situation.

Key vocabulary:

• area: the measure of the amount of surface inside a closed boundary of a two-dimensional shape
• length: the distance between two points
• side: one of the lines that make up a two-dimensional shape
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