1. 5-1 Mental Math:
Patterns in Division
Math Notes
Number Sense 1.0

2. What you’re learning today...

3. What you’re learning today...
Number Sense 1.0 - Computing with
positive integers.

4. What you’re learning today...
Number Sense 1.0 - Computing with
positive integers.
Definitions of dividend, divisor, and
quotient.

5. What you’re learning today...
Number Sense 1.0 - Computing with
positive integers.
Definitions of dividend, divisor, and
quotient.
12 ÷ 3 = 4

6. What you’re learning today...
Number Sense 1.0 - Computing with
positive integers.
Definitions of dividend, divisor, and
quotient.
12 ÷ 3 = 4 54 ÷ 6 = 9

7. What you’re learning today...
Number Sense 1.0 - Computing with
positive integers.
Definitions of dividend, divisor, and
quotient.
12 ÷ 3 = 4 54 ÷ 6 = 9
3,000 ÷ 5 = 600

8. Division Review
12 ÷ 3 = 4

9. Division Review
12 ÷ 3 = 4
12 is the dividend, the
number being divided.

10. Division Review
3 is the divisor, the number
that divides into the dividend
12 ÷ 3 = 4
12 is the dividend, the
number being divided.

11. Division Review
3 is the divisor, the number
that divides into the dividend
12 ÷ 3 = 4
4 is the quotient, the
12 is the dividend, the
result of dividing the
number being divided.
dividend by the
divisor.

12. Division Review
12 ÷ 3 = 4

13. Division Review
12 ÷ 3 = 4

14. Division Review
3=4
12

15. Division Review
The dividend goes
inside the division
bracket.
3=4
12

16. Division Review
The dividend goes
inside the division
bracket.
4
3 12

17. Division Review
The divisor goes
outside the division
bracket.
The dividend goes
inside the division
bracket.
4
3 12

18. Division Review
The divisor goes
outside the division
bracket.
The dividend goes
inside the division
bracket.
4
3 12

19. Division Review
The divisor goes
outside the division
bracket.
The dividend goes The quotient goes
inside the division above the division
bracket.
4 bracket.
3 12

20. Example 1
160 ÷ 8 = n

21. Example 1
160 ÷ 8 = n

22. Example 1
160 ÷ 8 = n

23. Example 1
Think
16 ÷ 8
160 ÷ 8 = n

24. Example 1
Think
16 ÷ 8
160 ÷ 8 = n
16 ÷ 8 = 2

25. Example 1
Think
16 ÷ 8
160 ÷ 8 = n
16 ÷ 8 = 2
160 ÷ 8 = 20

26. Example 1
Think
16 ÷ 8
160 ÷ 8 = n
16 ÷ 8 = 2
160 ÷ 8 = 20
16 tens

27. Example 1
Think
16 ÷ 8
160 ÷ 8 = n
16 ÷ 8 = 2
160 ÷ 8 = 20
16 tens 2 tens

28. Example 2
30 ÷ 5 = 6
30 ÷ 5 = 6
30 ÷5=6

29. Example 2
30 ÷ 5 = 6
300 ÷ 5 = 6
30 ÷5=6

30. Example 2
30 ÷ 5 = 6
300 ÷ 5 = 60
30 ÷5=6

31. Example 2
30 ÷ 5 = 6
300 ÷ 5 = 60
3000 ÷ 5 = 6

32. Example 2
30 ÷ 5 = 6
300 ÷ 5 = 60
3000 ÷ 5 = 600

33. Example 2
60 ÷ 30 = 2
60 ÷ 30 = 2
60 ÷ 30 = 2

34. Example 2
60 ÷ 30 = 2
600 ÷ 30 = 2
60 ÷ 30 = 2

35. Example 2
60 ÷ 30 = 2
600 ÷ 30 = 20
60 ÷ 30 = 2

36. Example 2
60 ÷ 30 = 2
600 ÷ 30 = 20
6000 ÷ 30 = 2

37. Example 2
60 ÷ 30 = 2
600 ÷ 30 = 20
6000 ÷ 30 = 200

38. Example 3
140 ÷ 2

39. Example 3
Think
14 ÷ 2 = 7
140 ÷ 2

40. Example 3
Think
14 ÷ 2 = 7
140 ÷ 2 = 7

41. Example 3
Think
14 ÷ 2 = 7
140 ÷ 2 = 7
Don’t forget that 0

42. Example 3
Think
14 ÷ 2 = 7
140 ÷ 2 = 70
Don’t forget that 0

43. Example 4
32,000 ÷ 8

44. Example 4
Think
32 ÷ 8 = 4
32,000 ÷ 8

45. Example 4
Think
32 ÷ 8 = 4
32,000 ÷ 8 = 4

46. Example 4
Think
32 ÷ 8 = 4
32,000 ÷ 8 = 4
Don’t forget those 000’s

47. Example 4
Think
32 ÷ 8 = 4
32,000 ÷ 8 = 4000
Don’t forget those 000’s