Lesson plan

Solve real-world problems involving mixed fractions using area diagrams

teaches Common Core State Standards CCSS.Math.Content.5.NF.B.5b http://corestandards.org/Math/Content/5/NF/B/5/b
teaches Common Core State Standards CCSS.Math.Content.5.NF.B.6 http://corestandards.org/Math/Content/5/NF/B/6
teaches Common Core State Standards CCSS.Math.Practice.MP1 http://corestandards.org/Math/Practice/MP1
teaches Common Core State Standards CCSS.Math.Practice.MP4 http://corestandards.org/Math/Practice/MP4

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Big Ideas: Mixed numbers can be decomposed into a whole number and fraction for ease when multiplying. We can use area models to find the product when the factors are mixed numbers. This lesson builds on students' work with multiplying fractions and area models. In this lesson students are expected to create an area model and use its dimensions to find the product of mixed fractions. The mathematical concepts in this lesson build toward students' future work with complex numbers and variables using the distributive property. Vocabulary: area, decompose, factor, mixed number, product