# 9. Interpret quotients of rational numbers by describing real-world contexts (FP)

teaches Common Core State Standards CCSS.Math.Content.7.NS.A.2 http://corestandards.org/Math/Content/7/NS/A/2
teaches Common Core State Standards CCSS.Math.Practice.MP2 http://corestandards.org/Math/Practice/MP2

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Lesson objective: Fluently divide negative numbers. Fluently translate between real-life situations and quotients with negative numbers.

This lesson helps to build fluency with dividing negative numbers. An extended example of hiking is used to develop students' understanding that real-life situations can be represented by quotients with negative numbers and that those quotients can take several equivalent forms.

Students engage in Mathematical Practice 2 (Reason abstractly and quantitatively) as they decontextualize and contextualize rational numbers by translating real-world hiking situations to numerical expressions and identify equivalent representations.

Key vocabulary:

• ascend
• descend
• elevation
• quotient

Special materials needed:

• none
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