CLARK — Students in Krista Chapman’s sixth grade mathematics class at Carl H. Kumpf Middle School in Clark explore the addition and subtraction of integers through a puzzle. In order to complete the puzzle students must place the integers from -3 to +3 in seven open circles. Students then find the sum of each row of integers. Students discovered that each sum must add up to zero in order for the sums to all be identical. Students pair opposite numbers together for example -1 and +1 in the same row to have a sum of zero. After attempting the puzzle alone, students are asked to collaborate to share their ideas of how to solve the puzzle and properties of opposite numbers. In the picture above, Hannah Brogan, Michael Massarelli, Jeffrey King, and Nina DiProfio work collaboratively to complete the integer puzzle. (Photo courtesy of Clark Public Schools)
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