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WARM-UP:

GOOD AFTERNOON!. Today we will be learning about Divisibility Patterns and reviewing Long Division. 1.) 72 ÷ 9 = 2.) 64 ÷ 8 = 3.) 146 ÷ 2 = 4.) 126 ÷ 3 = 5.) 248 ÷ 4 =. WARM-UP:. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30.

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WARM-UP:

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

  2. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 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? CONFIDENTIAL

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

  4. DIVISIBILITY RULES Can you give me some examples?? 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 CONFIDENTIAL

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

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

  7. The rules for 4, 6, and 9 are related to the rules for 2 and 3. DIVISIBILITY RULES Examples: 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 9 624 716 832 732 2,316 324 5,571 CONFIDENTIAL

  8. Can you tell me whether 564 is divisible by How do you know? yes/no 4 6 9 The number formed from the last two digits is divisible by 4. yes/no The number is divisible by 2 and 3. The sum of the digits is not divisible by 9. yes/no CONFIDENTIAL

  9. 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. 1) 2) 3) 6,950 605 8,505 2 6 3 9 4 10 5 Odd/Even 2 6 3 9 4 10 5 Odd/Even 2 6 3 9 4 10 5 Odd/Even 3,135 4) 5) 6) 138 9,948 2 6 3 9 4 10 5 Odd/Even 2 6 3 9 4 10 5 Odd/Even 2 6 3 9 4 10 5 Odd/Even CONFIDENTIAL

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

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

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

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

  14. Let us Play! CONFIDENTIAL

  15. CONFIDENTIAL

  16. Now, let's check to see how well we learned our divisibility rules! 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 CONFIDENTIAL

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

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

  19. 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. CONFIDENTIAL

  20. 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 CONFIDENTIAL

  21. 2.) Use Long Division. 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: 1,886 41 CONFIDENTIAL

  22. 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. CONFIDENTIAL

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