Lesson plan

Find the products of factors with different signs by comparing their signs

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
teaches Common Core State Standards CCSS.Math.Practice.MP4 http://corestandards.org/Math/Practice/MP4
teaches Common Core State Standards CCSS.Math.Practice.MP7 http://corestandards.org/Math/Practice/MP7

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Big Ideas: The product of rational numbers is a rational number. If the signs of two rational numbers are different, the product of these numbers will be negative. This lesson builds on students’ work with multiplying whole numbers and decimals in 6th grade. The task requires students to compare the finances of two friends, one loaning money and the other borrowing money. Students learn to generalize the rule for multiplying positive and negative rational numbers. This lesson builds toward work with division of signed numbers as well as simplifying algebraic expressions in 7th and 8th grades. Vocabulary: rational number, decimal, integer Special Materials: None