Lesson plan

Understand the opposites of opposites of rational numbers by using a number line

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

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Big Ideas: Finding the opposite of the opposite takes you back to the original number. This lesson builds on students' understanding of how to find the opposite of a number. The task uses a number line divided into intervals of one-fourth along with 13 rational number cards and 13 phrases/equations cards. Students must create the rational number values from the number line by taking either the opposite or the opposite of the opposite. By generating equivalent and opposite values using one or more negative sign, students reason which phrases/equations accomplish sign changes and which undo those changes. The mathematical concepts in this lesson build toward students' future work with multiplication and division of rational numbers in grades 7 and up. Vocabulary: negative, positive, rational number, opposite, equation, distance Special Materials: set of Rational Number cards set of Phrases/Equations cards scissors Optional: tape or paperclips