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

teaches Common Core State Standards 5.3K http://ritter.tea.state.tx.us/rules/tac/chapter111/index.html
teaches Common Core State Standards 4.3E http://ritter.tea.state.tx.us/rules/tac/chapter111/index.html
teaches Common Core State Standards 4.C.5 http://www.doe.in.gov/standards/mathematics
teaches Common Core State Standards 4.C.6 http://www.doe.in.gov/standards/mathematics
teaches Common Core State Standards 4.AT.5 http://www.doe.in.gov/standards/mathematics
teaches Common Core State Standards CCSS.Math.Content.4.NF.B.3b http://corestandards.org/Math/Content/4/NF/B/3/b
teaches Common Core State Standards CCSS.Math.Content.4.NF.B.3c http://corestandards.org/Math/Content/4/NF/B/3/c
teaches Common Core State Standards CCSS.Math.Content.4.NF.B.3a http://corestandards.org/Math/Content/4/NF/B/3/a
teaches Common Core State Standards CCSS.Math.Content.4.NF.B.3d http://corestandards.org/Math/Content/4/NF/B/3/d
teaches Common Core State Standards CCSS.Math.Practice.MP4 http://corestandards.org/Math/Practice/MP4
teaches Common Core State Standards CCSS.Math.Practice.MP1 http://corestandards.org/Math/Practice/MP1
teaches Common Core State Standards 4.3B http://ritter.tea.state.tx.us/rules/tac/chapter111/index.html

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Lesson objective: Decompose mixed numbers to solve word problems.

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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