Addition of Integers on the Number Line

I. Number as Movement

Move the slider and observe what happens.

1.) On the number line, the point 0 is called the origin. In terms of movement, what does 5 mean?

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2.) In terms of movement, what does -3 mean?

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Move the two sliders and observe what happens.

1.) Use the sliders above to add 2 and 3. In terms of movement, what does 2 + 3 mean?

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A
From the origin, move 2 units to the left, and then 3 units to the left.
B
From the origin, move 2 units to the left, and then 3 units to the right.
C
From the origin, move 2 units to the right, and then 3 units to the left.
D
From the origin, move 2 units to the right, and then 3 units to the right.

2.) Use the sliders above to add -3 and -4. In terms of movement, what does (-3) + (-4) mean?

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A
From the origin, move 3 units to the left, and then 4 units to the left.
B
From the origin, move 3 units to the left, and then 4 units to the right.
C
From the origin, move 3 units to the right, and then 4 units to the left.
D
From the origin, move 3 units to the right, and then 4 units to the right.

3.) Based on your answer above, what is the sum (-3) + (-4)?

4.) Use the sliders above to add -6 and 3. In terms of movement, what does (-6) + (3) mean?

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A
From the origin, move 6 units to the left, and then 3 units to the left.
B
From the origin, move 6 units to the left, and then 3 units to the right.
C
From the origin, move 6 units to the right, and then 3 units to the left.
D
From the origin, move 6 units to the right, and then 3 units to the right.

5.) Based on your answer above, what is the sum (-6) + (3)?

6.) Using the sliders above to add 6 and -3. In terms of movement, what does 6 + (-3) mean?

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A
From the origin, move 6 units to the left, and then 3 units to the left.
B
From the origin, move 6 units to the left, and then 3 units to the right.
C
From the origin, move 6 units to the right, and then 3 units to the left.
D
From the origin, move 6 units to the right, and then 3 units to the right.

7.) Based on your answer above, what is the sum (6) + (-3)?

8.) Based on your observation above, write your thoughts about adding integers that are (1) both positive (2) both negative (3) positive and negative