Group Work Sheet Adding Integers Answersheet

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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.
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