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Lesson plan

8. Practice using number lines to show the relationship between multiplication and division (FP)

teaches Common Core State Standards MP1 http://corestandards.org/Math/Practice/MP1
teaches Common Core State Standards 5.NF.B.7.b http://corestandards.org/Math/Content/5/NF/B/7/b
teaches Common Core State Standards 5.NF.B.7.a http://corestandards.org/Math/Content/5/NF/B/7/a

8. Practice using number lines to show the relationship between multiplication and division (FP)

Lesson objective: Use the relationship between multiplying and dividing to solve problems with fractions.

This lesson helps to build procedural skill with writing equations that show the relationship between multiplication and division. Tape diagrams are used here because they support the idea of multiplication as comparison as students represent multiplication situations with a missing factor, that are then solved using a division relationship. This work develops students' understanding that the inverse relationship between multiplication and division holds when the numbers used are fractions.

Students engage in Mathematical Practice 1 (make sense of problems and persevere in solving them) as they both solve and write problems requiring fraction division. Students also look for and make use of structure (MP 3) as they leverage the relationship between multiplication and division to solve problems.