# 10. Divide fractions using the multiplicative inverse (A)

teaches Common Core State Standards CCSS.Math.Content.6.NS.A.1 http://corestandards.org/Math/Content/6/NS/A/1
teaches Common Core State Standards CCSS.Math.Practice.MP1 http://corestandards.org/Math/Practice/MP1

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Lesson objective: Solve missing length area problems with fractional areas and side lengths using division.

This lesson provides an opportunity for students to apply their knowledge and understanding of area and fraction division to a real-life situation. Students are asked to find the missing length of each vegetable patch, then find acceptable dimensions of the garden according to the sizes of the vegetable patches.

Key Concept students will use:

• The relationship between multiplication and division holds for fractions.

Skills students will use:

• Divide fractions to find the missing length given the area and one length.
• Add fractions and mixed numbers to determine the dimensions of the garden.  (Grade 5, Unit 3)

Students engage in Mathematical Practice 1 (Make sense of problems and persevere in solving them) as they find the missing lengths of the vegetable garden plots and determine acceptable dimensions of the garden.

Key vocabulary:

• area
• dividend
• divisor
• length
• multiplicative inverse
• quotient
• remainder
• width

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