1. CONFIDENTIAL1 WARM-UP: 1.)72 ÷ 9 = 2.)64 ÷ 8 = 3.)146 ÷ 2 = 4.)126 ÷ 3 = 5.)248 ÷ 4 = GOOD AFTERNOON! Today we will be learning about Divisibility Patterns and reviewing Long Division.

2. CONFIDENTIAL2 Underline all the numbers that can be divided by 2 evenly. Circle all the numbers that can be divided by 3 evenly. Put a check mark √ beside all the numbers that can be divided by 5 evenly. Put a slash \ through all the numbers that can be divided by 10 evenly. WHAT PATTERNS DO WE SEE FOR EACH NUMBER? 12345678910 11121314151617181920 21222324252627282930

3. CONFIDENTIAL3 A whole number is DIVISIBLE by another number if the remainder is 0. A whole number is EVEN if it is divisible by 2. A whole number is ODD if it is not divisible by 2. 1 2 3 4 5 6 7 8 9 12 14 15 18 19

4. CONFIDENTIAL4 DIVISIBILITY RULES A whole number is divisible by: 2 if the ones digit is divisible by 2 3 if the sum of the digits is divisible by 3 5 if the ones digit is 0 or 5 10 if the ones digit is 0 Can you give me some examples??

5. CONFIDENTIAL5 Let's use the divisibility rules to tell whether 2,320 is divisible by 2, 3, 5, or 10. 2 3 5 10 Is the number ODD or EVEN? Ones digit must be divisible by 2 Sum of the digits must be divisible by 3 Ones digit must be 0 or 5 Ones digit must be 0 Need A Hint??

6. CONFIDENTIAL6 Let's try another one...... Is 3,225 divisible by 2 3 5 10 How do you know? yes/no Ones digit is not divisible by 2 Sum of the digits is divisible by 3 Ones digit is 0 or 5 Ones digit must be 0

7. CONFIDENTIAL7 DIVISIBILITY RULES A whole number is divisible by: 4 if the number formed by the last two digits is divisible by 4 6 if the number is divisible by 2 AND 3 9 if the sum of the digits is divisible by 9 Examples: The rules for 4, 6, and 9 are related to the rules for 2 and 3. 624 716 832 732 2,316 324 5,571

8. CONFIDENTIAL8 Can you tell me whether 564 is divisible by 469469 yes/no How do you know? The number formed from the last two digits is divisible by 4. The number is divisible by 2 and 3. The sum of the digits is not divisible by 9.

9. CONFIDENTIAL9 Practice Problems Tell whether each number is divisible by 2, 3, 4, 5, 6, 9, or 10. Then tell whether it is odd or even. 605 3,135 6,950 138 8,505 9,948 26 39 410 5Odd/Even 26 39 410 5Odd/Even 26 39 410 5Odd/Even 26 39 410 5Odd/Even 26 39 410 5Odd/Even 26 39 410 5Odd/Even 1)2)3) 4)5)6)

10. CONFIDENTIAL10 Let's practice some Long Division. 8 976 122 -8 17 -16 16 -16 0 Check 8

11. CONFIDENTIAL11 23 7 1 3 Let's do this together..

12. CONFIDENTIAL12 And one more..... 621,922 62 1,922 31 -186 62 -62 0 Check

13. CONFIDENTIAL13 Whew! Let's take a break!

14. CONFIDENTIAL14 Let us Play!

15. CONFIDENTIAL15

16. CONFIDENTIAL16 Place your cursor over the number screen and left click. A random number will appear. Tell whether the number is divisible by..... 2 3 4 5 6 9 10 Now, let's check to see how well we learned our divisibility rules!

17. CONFIDENTIAL17 What is the greatest 3 digit number that is NOT divisible by 3? (What methods are you going to use to solve this problem?) 1. What numbers are divisible by 3? 2. What is the largest 3 digit number? Can you solve the following problems????? Answer: 998

18. CONFIDENTIAL18 Find the missing digit. List all possible answers. 8,4 8 is divisible by 3 1,4,7 Answer:

19. CONFIDENTIAL19 What is true about the product of an odd number and an even number? (Do you remember what a product is?) Answer: It is an even number.

20. CONFIDENTIAL20 What is the smallest whole number that is divisible by 2, 3, 5, 6, 9, and 10.? Hint: The number must have all of these numbers as FACTORS. Answer: 90 = 2 x 3 x 5 x 3 2 x 3 = 6 2 x 5 = 10 3 x 3 = 9

21. CONFIDENTIAL21 1.) How can I tell if a number is divisible by a.)2 b.)3 c.)4 d.)5 e.)6 f.)9 g.)10 Example : 2.) Use Long Division. 41 1,886

22. CONFIDENTIAL22 You did a GREAT job today!!! * We learned the divisibility rules for 2, 3, 4, 5, 6, 9, and 10. * We practiced our division facts. * We reviewed our Long Division skills.