Early Division on MathLine

1. Early Division on MathLine

2. Early Division Early divisionincludes: • Breaking into Equal Groups or • Division as Repeated Subtraction

3. Early Division Students think about Early Division both ways!

4. Early Division Division on MathLineincludes: • Equal Groups Division • Division as Repeated Subtraction • Computational Division • Division with Remainders • Long Division (single digit divisor)

5. Early Division MathLine will effectively model ALL aspects of division for your students!

6. Early Division This lesson covers • Equal Groups Division • Division as Repeated Subtraction • Computational Division

7. Early Division Equal Groups Division using ‘trial & error’

8. Early Division If we have 18 cookies in a jar, and we put them into 3 equal piles. How many in each pile?

9. Early Division Find 3 equal groups

10. Early Division Find 3 equal groups of 18 using ‘trial & error’ 18 ÷3

11. Early Division Groups of 7? 18 ÷3 3 4 7 2 5 6 1

12. Early Division Groups of 7? 18 ÷3 3 4 7 2 5 6 1

13. Early Division Groups of 7? No 18 ÷ 3 3 4 2 1

14. Early Division Groups of 7, 7 & 4 are not equal 18 ÷ 3 7 7 4

15. Early Division Groups of 6? 18 ÷3 3 4 2 5 6 1

16. Early Division Groups of 6? 18 ÷3 3 4 2 5 6 1

17. Early Division Yes Groups of 6? 18 ÷3 3 4 2 5 6 1

18. Early Division See 18 divides by 6 - 3 times. So each pile has 6 cookies. 18 ÷3 = 6 1 2 3

19. Early Division Division as Repeated Subtraction

20. Early Division If we have 24 students playing soccer at gym time, and they split up into teams of 6. How many teams are there to play soccer?

21. Early Division Now divide by subtracting

22. Early Division One group of 6 from 24 24 ÷ 6 = Division as repeated subtraction 6 5 4 3 2 1

23. Early Division Two groups of 6 from 24 24 ÷ 6 = 6 5 4 3 2 1

24. Early Division Three groups of 6 from 24 24 ÷ 6 = 6 5 4 3 2 1

25. Early Division Four groups of 6 from 24 24 ÷ 6 = 6 5 4 3 2 1

26. Early Division Answer is 4, or there will be 4 teams to play soccer. 24 ÷ 6 = 4 1 2 3 4

27. Early Division Computational division Typically done through repeated subtraction

28. Early Division 22 ÷ 4 =

29. Early Division 22 ÷ 4 = 4 3 2 1

30. Early Division 22 ÷ 4 = 4 3 2 1

31. Early Division 22 ÷ 4 = 4 3 2 1

32. Early Division 22 ÷ 4 = 4 3 2 1

33. Early Division 22 ÷ 4 = 4 3 2 1

34. Early Division With how many left over? 5 groups of 4 22 ÷ 4 = 5 2 1

35. Early Division With two left over, remainder of 2 22 ÷ 4 =5 r 2 2 1

36. Early Division Notice that remainder 2 is also 2 of 4 22 ÷ 4 =5 r 2 22 ÷ 4 =5 r 2 2 1

37. Early Division Equal to 2/4 or 1/2 22 ÷ 4 =5 r 1/2 2 1

38. Early Division Computational division also can divide from left to right

39. Early Division 22 ÷ 4 = 1 2 3 4

40. Early Division 22 ÷ 4 = 1 2 3 4

41. Early Division 22 ÷ 4 = 1 2 3 4

42. Early Division 22 ÷ 4 = 1 2 3 4

43. Early Division 22 ÷ 4 = 1 2 3 4

44. Early Division With how many left over? 5 groups of 4 22 ÷ 4 = 1 3 4 5 2

45. Early Division With two left over, remainder of 2 22 ÷ 4 =5 r 2 1 2