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Lesson Plan

8. More Sand Art: Decomposing mixed numbers to solve word problems

teaches Common Core State Standards CCSS.Math.Practice.MP1
teaches Common Core State Standards CCSS.Math.Content.4.NF.B.3a
teaches Common Core State Standards CCSS.Math.Content.4.NF.B.3b
teaches Common Core State Standards CCSS.Math.Content.4.NF.B.3c
teaches Common Core State Standards CCSS.Math.Content.4.NF.B.3d
teaches Common Core State Standards CCSS.Math.Practice.MP4
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Application Lesson: This lesson provides an opportunity for students to apply their knowledge and understanding of decomposition of mixed numbers to a real-life situation. The scenario from lesson 1 is used again here as students are asked to determine whether the sand from 3 different bags can fit into 3 different jars. Skills students will use include: -decomposing mixed numbers in order to solve a problem -finding the difference between mixed numbers by decomposing them (this anticipates a later unit, which will more fully develop students' ability to perform operations with fractions) Understandings students will use include: -mixed numbers can be decomposed in more than one way -fractions with unlike numerators and like denominators can be composed to make larger fractions Students engage in Mathematical Practice S.MP.4. (Model with mathematics) by using a description to create a model of a real-world situation, and then using that model to solve a problem. They also use S.MP.3 (Construct viable arguments and critique the reasoning of others) as they evaluate Derek's claim that he cannot fit the sand inside the jars.
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