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Lesson plan

Adding rational numbers using a number line

teaches Common Core State Standards MP7 http://corestandards.org/Math/Practice/MP7
teaches Common Core State Standards MP4 http://corestandards.org/Math/Practice/MP4
teaches Common Core State Standards 7.NS.A.1.b http://corestandards.org/Math/Content/7/NS/A/1/b
teaches Common Core State Standards 7.NS.A.1 http://corestandards.org/Math/Content/7/NS/A/1

Adding rational numbers using a number line

Big Ideas: Addition of positive values can be shown as movement to the right on the number line. Addition of negative values can be shown as movement to the left on the number line. This lesson builds on students' previous work with locating positive and negative integers on the number line and understanding integers in context in sixth grade. The task asks students to represent the addition of positive and negative integers on the number line and to make generalizations about the sums that result when a positive and negative integer are added. Students are provided with the context of movement of the ball on the football field and asked to use the number line to model the movement and determine if the team had a net gain or loss. It is building the idea of modeling addition of integers on the number line and building toward a conceptual understanding that sums may be bigger, smaller, or equal to either addend. Vocabulary: integer, positive, negative, zero, absolute value, net (gain or loss) Special Materials: Student should have access to or means of creating number lines.