1. Monday, August 26 (left side of paper) Divisibility Patterns (right side of paper)

2. Divisibility Patterns A whole number is divisible by another number if the remainder is 0. There are rules to determine divisibility.

3. Divisibility Patterns List for 2 2: 2, 4, 6, 8, 10, 12, 14, 16……

4. Divisibility Patterns List for 2 2: 2, 4, 6, 8, 10, 12, 14, 16…… Can you create a rule to determine if a number is divisible by 2?

5. Divisibility Patterns List for 2 2: 2, 4, 6, 8, 10, 12, 14, 16…… Can you create a rule to determine if a number is divisible by 2? Divisibility Rule of 2: If the last digit is even (0, 2, 4, 6, 8) the entire number is divisible by 2.

6. Divisibility Patterns Is the number 45636 divisible by 2?

7. Divisibility Patterns Is the number 45636 divisible by 2? Divisibility Rule of 2: If the last digit is even (0, 2, 4, 6, 8) the entire number is divisible by 2. Since the last digit is even, then the number is divisible by 2.

8. Divisibility Patterns List for 10 10: 20, 30, 40, 50, 60, 70, 80, 90……

9. Divisibility Patterns List for 10 10: 20, 30, 40, 50, 60, 70, 80, 90…… Can you create a rule to determine if a number is divisible by 10?

10. Divisibility Patterns List for 10 10: 20, 30, 40, 50, 60, 70, 80, 90…… Can you create a rule to determine if a number is divisible by 10? Divisibility Rule of 10: If the last digit is a 0 the entire number is divisible by 10.

11. Divisibility Patterns Is the number 45636 divisible by 10?

12. Divisibility Patterns Is the number 45636 divisible by 10? Divisibility Rule of 10: If the last digit is a 0 the entire number is divisible by 10. Since the last digit is not 0, then the number is not divisible by 10.

13. Divisibility Patterns List for 5 5: 5, 10, 15, 20, 25, 30, 35, 40……

14. Divisibility Patterns List for 5 5: 5, 10, 15, 20, 25, 30, 35, 40…… Can you create a rule to determine if a number is divisible by 5?

15. Divisibility Patterns List for 5 5: 5, 10, 15, 20, 25, 30, 35, 40…… Can you create a rule to determine if a number is divisible by 5? Divisibility Rule of 5: If the last digit is a 5 or 0 the entire number is divisible by 5.

16. Divisibility Patterns Is the number 45636 divisible by 5?

17. Divisibility Patterns Is the number 45636 divisible by 5? Divisibility Rule of 5: If the last digit is a 5 or 0 the entire number is divisible by 5. Since the last digit is NOT a 0 or 5, the number is not divisible by 5.

18. Divisibility Patterns List for 3 3: 3, 6, 9, 12, 15, 18, 21, 24……

19. Divisibility Patterns List for 3 3: 3, 6, 9, 12, 15, 18, 21, 24…… Can you create a rule to determine if a number is divisible by 3?

20. Divisibility Patterns Multiples List for 3 3: 3, 6, 9, 12, 15, 18, 21, 24…… Can you create a rule to determine if a number is divisible by 3? Divisibility Rule of 3: If the sum of the digits is 3, 6, or 9 the entire number is divisible by 3. If the sum is more than one digit, add again.

21. Divisibility Patterns Is the number 45636 divisible by 3?

22. Divisibility Patterns Is the number 45636 divisible by 3? Divisibility Rule of 3: If the sum of the digits is 3, 6, or 9 the entire number is divisible by 3. If the sum is more than one digit, add again. 4 + 5 + 6 + 3 + 6 = 24 2 + 4 = 6

23. Divisibility Patterns List for 9 9: 9, 18, 27, 36, 45, 54……

24. Divisibility Patterns List for 9 9: 9, 18, 27, 36, 45, 54…… Can you create a rule to determine if a number is divisible by 9?

25. Divisibility Patterns List for 9 9: 9, 18, 27, 36, 45, 54…… Can you create a rule to determine if a number is divisible by 9? Divisibility Rule of 9: If the sum of the digits is 9, the entire number is divisible by 9. If the sum is more than one, add again.

26. Divisibility Patterns Is the number 45636 divisible by 9?

27. Divisibility Patterns Is the number 45636 divisible by 9? Divisibility Rule of 9: If the sum of the digits is 9, the entire number is divisible by 9. If the sum is more than one, add again. Since the sum of the digits is 24, and the sum of that is 6, the number is not divisible by 9.

28. Divisibility Patterns List for 4 4: 4, 8, 12, 16, 20, 24……

29. Divisibility Patterns List for 4 4: 4, 8, 12, 16, 20, 24…… Can you create a rule to determine if a number is divisible by 4?

30. Divisibility Patterns List for 4 4: 4, 8, 12, 16, 20, 24…… Can you create a rule to determine if a number is divisible by 4? Divisibility Rule of 4: If the last two digits are divisible by 4, the entire number is divisible by 4.. (Hint-If the last digit is odd, it can never be divisible by an even number)

31. Divisibility Patterns Is the number 45636 divisible by 4?

32. Divisibility Patterns Is the number 45636 divisible by 4? Divisibility Rule of 4: If the last two digits are divisible by 4, the entire number is divisible by 4.. (Hint-If the last digit is odd, it can never be divisible by an even number) Since 36 is divisible by 4, then 45636 is divisible by 4.

33. Divisibility Patterns List for 6 6: 6, 12, 18, 24, 30, 36……

34. Divisibility Patterns List for 6 6: 6, 12, 18, 24, 30, 36…… Can you create a rule to determine if a number is divisible by 6?

35. Divisibility Patterns List for 6 6: 6, 12, 18, 24, 30, 36…… Can you create a rule to determine if a number is divisible by 6? Divisibility Rule of 6: If the Divisibility Rule of 2 AND 3 works, the entire number is divisible by 6.

36. Divisibility Patterns Is the number 45636 divisible by 6?

37. Divisibility Patterns Is the number 45636 divisible by 6? Divisibility Rule of 6: If the Divisibility Rule of 2 AND 3 works, the entire number is divisible by 6. Since the last digit is even the number is divisible by 2. The sum of the digits is 24, the sum of that is 6. The number is divisible by 3. 45636 is divisible by 6.

38. Divisibility Patterns 89 Is this number divisible by 2,3,4,5,6,9,10? Circle the correct answers.

39. Divisibility Patterns 89 Is this number divisible by 2,3,4,5,6,9,10? Circle the correct answers. None

40. Divisibility Patterns 478 Is this number divisible by 2,3,4,5,6,9,10? Circle the correct answers.

41. Divisibility Patterns 478 Is this number divisible by 2,3,4,5,6,9,10? 478 is divisible by 2. Circle the correct answers.

42. Divisibility Patterns 3135 Is this number divisible by 2,3,4,5,6,9,10? Circle the correct answers.

43. Divisibility Patterns 3135 Is this number divisible by 2,3,4,5,6,9,10? 3135 is divisible by 3 and 5. Circle the correct answers.

44. Divisibility Patterns 14980 Is this number divisible by 2,3,4,5,6,9,10? Circle the correct answers.

45. Divisibility Patterns 14980 Is this number divisible by 2,3,4,5,6,9,10? 14980 is divisible by 2, 4, 5, and 10. Circle the correct answers.

46. Divisibility Patterns

47. In Class – Review Worksheet #1 Agenda Notes- Math Homework Review Worksheet #2 Due 8-27-2013