HOW is the subtraction of integers related to the addition of integers? The Number System Course...

9
HOW is the subtraction of integers related to the addition of integers? The Number System Course 2, Inquiry Lab before Lesson 3-3

description

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.

Transcript of HOW is the subtraction of integers related to the addition of integers? The Number System Course...

Page 1: HOW is the subtraction of integers related to the addition of integers? The Number System Course 2,…

HOW is the subtraction of integers related to the addition of integers?

The Number System

Course 2, Inquiry Lab before Lesson 3-3

Page 2: HOW is the subtraction of integers related to the addition of integers? The Number System Course 2,…

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.

Page 3: HOW is the subtraction of integers related to the addition of integers? The Number System Course 2,…

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.

Page 4: HOW is the subtraction of integers related to the addition of integers? The Number System Course 2,…

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.

Page 5: HOW is the subtraction of integers related to the addition of integers? The Number System Course 2,…

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.

Page 6: HOW is the subtraction of integers related to the addition of integers? The Number System Course 2,…

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) =

Page 7: HOW is the subtraction of integers related to the addition of integers? The Number System Course 2,…

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.

Page 8: HOW is the subtraction of integers related to the addition of integers? The Number System Course 2,…

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

Page 9: HOW is the subtraction of integers related to the addition of integers? The Number System Course 2,…

Course 2, Inquiry Lab before Lesson 3-3

HOW is the subtraction of integers related to the addition of integers?

The Number System