HOW is the subtraction of integers related to the addition of integers? The Number System Course 2, Inquiry Lab before Lesson 3-3.

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Presentation transcript:

HOW is the subtraction of integers related to the addition of integers? The Number System Course 2, Inquiry Lab before Lesson 3-3

Activity 1 Continued  The Number System A dolphin swims 6 meters below the surface of the ocean. Then it jumps to a height of 5 meters above the surface of the water. Determine the difference between the two distances. Place 5 positive counters on the mat. Remove 6 negative counters. However, there are 0 negative counters. Use counters to find 5 – (–6), the difference between the distances.

Course 2, Inquiry Lab before Lesson 3-3 Activity 1 Continued  The Number System A dolphin swims 6 meters below the surface of the ocean. Then it jumps to a height of 5 meters above the surface of the water. Determine the difference between the two distances. Add zero pairs to the mat. Use counters to find 5 – (–6), the difference between the distances.

Course 2, Inquiry Lab before Lesson 3-3 The Number System A dolphin swims 6 meters below the surface of the ocean. Then it jumps to a height of 5 meters above the surface of the water. Determine the difference between the two distances. Use counters to find 5 – (–6), the difference between the distances. Now you can remove negative counters. Count the remaining positive counters. So, 5 – (–6) =. The difference between the distances is meters. The model shows that removing 6 negative counters yielded the same result as adding 6 positive counters.

Course 2, Inquiry Lab before Lesson 3-3 Activity 2 Continued  The Number System Use counters to find –6 – (–3). Place 6 negative counters on the mat.

Course 2, Inquiry Lab before Lesson 3-3 The Number System Use counters to find –6 – (–3). Remove 3 negative counters. There are negative counters remaining. So, –6 – (–3) =

Course 2, Inquiry Lab before Lesson 3-3 Activity 3 Continued  The Number System Use counters to find –5 – 1. Place negative counters on the mat. You need to remove 1 positive counter. However, there are 0 positive counters. Add one zero pair to the mat.

Course 2, Inquiry Lab before Lesson 3-3 The Number System Use counters to find –5 – 1. Now you can remove one positive counter. Find the remaining number of counters There are negative counters remaining. So, –5 – 1 = The model shows that removing one positive counter yielded the same result as adding one negative counter. Check Find –5 + (–1). Is it the same as –5 – 1? –5 + (–1) = –6

Course 2, Inquiry Lab before Lesson 3-3 HOW is the subtraction of integers related to the addition of integers? The Number System