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Lesson Plan

Adding Sums: Trajectory of Understanding

teaches Common Core State Standards 111.27.3.B
teaches Common Core State Standards 7.C.7
teaches Common Core State Standards CCSS.Math.Content.7.NS.A.1
teaches Common Core State Standards CCSS.Math.Content.7.NS.A.1d
teaches Common Core State Standards CCSS.Math.Practice.MP7
teaches Common Core State Standards CCSS.Math.Practice.MP3
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Students will understand that sums can be greater than, less than, or between the addends. The suggested public discussion of student work shows a trajectory of understanding from basic understanding of positive and negative numbers to a more advanced understanding of integer addition as shown with visual representations. It is important to discuss this trajectory publicly with students given the difficult of understanding adding integers. Students in grade 7 will likely have different understandings of the sums of integer addition problems. Three pieces of work are shown. The first shows a very limited understanding of integer addition. The student simply recognizes that the biggest number plays a role in the sum. The second shows an understanding that one negative would pair with one positive, the answer being what ever remains. The third shows an understanding of the sum of opposites and the positive direction on a number line. This Student Work Discussion Plan was created by a member of the 2015 Delaware Dream Team.
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