Lesson plan

Divide negative rational numbers by positive and negative rational numbers

teaches Common Core State Standards CCSS.Math.Content.7.NS.A.2b http://corestandards.org/Math/Content/7/NS/A/2/b
teaches Common Core State Standards CCSS.Math.Practice.MP1 http://corestandards.org/Math/Practice/MP1
teaches Common Core State Standards CCSS.Math.Practice.MP4 http://corestandards.org/Math/Practice/MP4

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Big Ideas: When a rational number is divided by a non-zero number, the result is always a rational number. Rational numbers can be used to describe real-world contexts and can be divided using the same rules as multiplication. This lesson builds upon students' work dividing rational numbers. The task requires students to model and calculate the rate of water loss in a drought by the month and by the day. Then, students are asked to determine the rate going backwards in time, and find that the rate is equivalent going forwards and backwards in time. By considering the situation inversely, students reason that a quotient of a negative number and a positive number is equivalent to the quotient of a positive number and a negative number. The mathematical concepts in this task lead to solving problems with rational numbers involving the four operations. Vocabulary: quotient, dividend, divisor