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 [b]origin[/b]. In terms of movement, what does 5 mean?

A movement from the point 5 units to the LEFT of 0 to the origin. A movement from the origin to the point 5 units to the RIGHT of 0. A movement from the point 5 units to the RIGHT of 0 to the origin. A movement from the origin to the point 5 units to the LEFT of 0.

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

A movement from the origin to the point 3 units to the right of 0. A movement from the origin to the point 3 units to the left of 0. A movement from the point 3 units to the LEFT of 0 to the origin. A movement from the point 3 units to the RIGHT of 0 to the origin.

II. Addition of Integers

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?

From the origin, move [b]2 units to the left[/b], and then [b]3 units to the right[/b]. From the origin, move [b]2 units to the right[/b], and then [b]3 units to the right[/b]. From the origin, move [b]2 units to the left[/b], and then [b]3 units to the left.[/b] From the origin, move [b]2 units to the right[/b], and then [b]3 units to the left[/b].

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

From the origin, move [b]3 units to the right[/b], and then [b]4 units to the right[/b]. From the origin, move [b]3 units to the left[/b], and then [b]4 units to the right[/b]. From the origin, move [b]3 units to the right[/b], and then [b]4 units to the left[/b]. From the origin, move [b]3 units to the left[/b], and then [b]4 units to the left.[/b]

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?

From the origin, move [b]6 units to the left[/b], and then [b]3 units to the left.[/b] From the origin, move [b]6 units to the right[/b], and then [b]3 units to the left[/b]. From the origin, move [b]6 units to the right[/b], and then [b]3 units to the right[/b]. From the origin, move [b]6 units to the left[/b], and then [b]3 units to the right[/b].

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?

From the origin, move [b]6 units to the left[/b], and then [b]3 units to the left.[/b] From the origin, move [b]6 units to the right[/b], and then [b]3 units to the right[/b]. From the origin, move [b]6 units to the right[/b], and then [b]3 units to the left[/b]. From the origin, move [b]6 units to the left[/b], and then [b]3 units to the right[/b].

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[br][br](1) both positive[br](2) both negative[br](3) positive and negative

Addition of Integers on the Number Line

I. Number as Movement

II. Addition of Integers

Information: Addition of Integers on the Number Line