Group Work Sheet (Adding Integers) Names: Review: Give an example of one negative and one positive integer. answers vary If you had to graph the two integers how would you graph them? distance and direction +4 4 units right -3 3 units to the left (2 Points; 1 point for each correct answer) Model 4 + ⁻3 on the number line below -3 +4 -5 -4 -3 -2 -1 0 2 1 3 4 5 (2 Points; 1 point for each representation) Adding Integers with the Same Signs: Matt is at the top of a volcano and wants to explore the depth of the volcano. He first descends 3 miles. At that point he stops for water. Then he descends another 2 miles and stops. At what depth is Matt located in the volcano? Equation: 3 2 5 Use the number line below to model your equation. -2 -3 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 (2 Points; 1 point for the equation & 1 point for number line representation) Sally and 2 friends are planning a trip to Daytona Lagoon. They plan to meet at Gabby’s house, and her mom will take them to the Water Park. Sally walks 4 blocks north to Mariah’s house. Then they walk 2 more blocks north to Gabby’s house. How many blocks from their starting point are they? Equation: 4 2 6 Use the number line below to model your equation. +2 +4 -2 -1 0 1 2 3 4 5 6 7 8 (2 Points; 1 point for the equation & 1 point for number line representation) General Rule for adding integers with the same sign: find the absolute value of the integers, add them and keep the common sign (1 Point) Adding Integers with the Different Signs: Michael is on an elevator on his way to a job interview. He takes the elevator up to the fifth floor. He now realizes that he is at the wrong floor. He then goes down 3 floors. On what floor did Michael get off? Equation: 5 3 2 Use the number line below to model your equation. -3 +5 -5 -4 -3 -2 -1 0 1 2 3 4 5 (2 Points; 1 point for the equation & 1 point for number line representation) A mole digs a 4-foot deep hole to hide. He then climbs down into the hole. Later he begins to climb out, climbing up 2 feet. Where is the mole located? Will he be out of the hole? Equation: 4 2 2 Use the number line below to model your equation. +2 -4 -5 -4 -3 -2 -1 0 1 2 3 4 5 (2 Points; 1 point for the equation & 1 point for number line representation) General Rule for adding integers with the different signs: find the absolute value of each integer , find their differences and take the sign of the number with the larger absolute value (1 Point) Total Possible Points: (14 Points) 10 out of 14 points show sufficient understanding.