1. Operations With Integers
Addition Models
Using Two-Color Counters
Using a Number Line

2. Working with Two-Color Counters Color Representations
Positive
Negative

3. Current value of the mat is 0 The value now becomes +1.
Zero Pair
The value of the pair is 0.
Current value of the mat is 0
The value now becomes +1.

4. read “positive 1 plus negative 1 equals 0”.
Zero Pair
+ 1 + (-1) = 0
read “positive 1 plus negative 1 equals 0”.

5. Addition Models
Operations with Integers

6. Read “positive 2 plus positive 3”
Addition Model
1 of 10
2 + 3
Read “positive 2 plus positive 3”
Read “positive 5”

7. Read “negative 4 plus negative 2”
Addition Model
2 of 10
-4 + (-2)
Read “negative 4 plus negative 2”
Read “negative 6”

8. Read “negative 6 plus negative 3”
Addition Model
3 of 10
-6 + (-3)
Read “negative 6 plus negative 3”
Read “negative 9”

9. Read “negative 3 plus positive 5”
Addition Model
4 of 10
-3 + 5
Read “negative 3 plus positive 5”
Read “positive 2”

10. Read “zero plus negative 3”
Addition Model
5 of 10
0 + (-3)
Read “zero plus negative 3”
Read “negative 3”

11. Read “negative 3 plus positive 3”
Addition Model
6 of 10
-3 + 3
Read “negative 3 plus positive 3”
Read “zero”

12. Read “negative 6 plus positive 7”
Addition Model
7 of 10
-6 + 7
Read “negative 6 plus positive 7”
Read “positive 1”

13. Read “positive 6 plus negative 8”
Addition Model
8 of 10
6 + (-8)
Read “positive 6 plus negative 8”
Read “negative 2”

14. Read “positive 2 plus negative 2”
Addition Model
9 of 10
2 + (-2)
Read “positive 2 plus negative 2”
Read “zero”

15. Read “negative 2 plus negative 8”
Return to
Main Menu
Addition Model
10 of 10
-2 + (-8)
Read “negative 2 plus negative 8”
Read “negative 10”

16. The Number Line
Origin
Negative
Positive

17. The Number Line
Negative
Positive

18. The Number Line Negative Positive 4 + (-7) -4 -3 -2 -1 0 1 2 3 4

19. The Number Line Negative Positive -3 + 5 -4 -3 -2 -1 0 1 2 3 4

20. The Number Line Negative Positive 3+ (-5) -4 -3 -2 -1 0 1 2 3 4

21. What problem is shown below?
The Number Line
Negative
Positive
What problem is shown below?
= 4

22. What problem is shown below?
The Number Line
Negative
Positive
What problem is shown below?
= 0

23. What problem is shown below?
The Number Line
Negative
Positive
What problem is shown below?
= -3

24. What problem is shown below?
Return to
Main Menu
The Number Line
Negative
Positive
What problem is shown below?
= -3