week3_Lesson1-2_Divisibility-Rules-for-48-and-1112.pptx

Math 5

1. MALABAN ELEMENTARY SCHOOL MATHEMATICS V COT I Presented by: MR. SONNY BHOY L. FLORES

2. Day 1

3. Week 1 Lesson 1 Using Divisibility rules for 4 , 8 , 11 and 12 to find common factors

4. Mental Drills What is the missing factors of the following equation. 12 = __ x 3 24 = 6 x __ 32 = __ x 4 64 = __ x 16 4 4 8 4

5. YES or NO Divisible by 3 345 1,234 6,201 YES NO YES 10,200 YES Divisible by 6 330 YES 501 NO 552 YES 202 NO Divisible by 9 602 NO 4005 YES 9621 YES 405 YES

6. Problem Opener During the “Brigada Eskwela ”, 372 pupils joined the cleanliness campaign. Ma’am Mary Grace thought of dividing them into 4, 8, 11 and 12 members each. Was she able to divide them with exact number of members for each group?

7. Questions During the “Brigada Eskwela ”, 372 pupils joined the cleanliness campaign. Ma’am Mary Grace thought of dividing them into 4, 8, 11 and 12 members each. Was she able to divide them with exact number of members for each group? Ask: 1. How many pupils joined the cleanliness campaign?

8. Questions During the “Brigada Eskwela ”, 372 pupils joined the cleanliness campaign. Ma’am Mary Grace thought of dividing them into 4, 8, 11 and 12 members each. Was she able to divide them with exact number of members for each group? Ask: 2. How do you solve the problem?

9. Questions During the “Brigada Eskwela ”, 372 pupils joined the cleanliness campaign. Ma’am Mary Grace thought of dividing them into 4, 8, 11 and 12 members each. Was she able to divide them with exact number of members for each group? Ask: 3. What strategies will you do to get the exact number for each group?

10. Performing the Activities Ask the pupils to work in pairs in solving the problem. Dividing 372 by 4 Dividing 372 by 8 Dividing 372 by 12 Dividing 372 by 11

11. Using Long Division  

12. Using Long Division   Aside from using long division, is there any way to determine if a given number is exact/divisible by 4, 8, 11, and 12?

13. Using Divisibility Rules Divisibility Rules Divisible by 4 – if the number formed by its last two digits is divisible by 4 or two zeros . Example: 612 is divisible by 4 because the number formed by its last two digits is 12, which is divisible by 4.

14. Divisible by 4 1,324 Last two digit is 24 24 ÷ 4 = 6 therefore 1324 is also divisible by 4 20 32 50 12 120 36 12 00 9 00 35 3 00 Last 2 digits Last two zeros

15. Divisible by 8 Divisibility Rules By 8 – if the number formed by its last three digits is divisible by 8 or three zeros . Example: 913,824 is divisible by 8, because the number formed by its last three digits is 824, which is divisible by 8.

16. Divisible by 8 913,824 Last two digit is 824 824 ÷ 4 = 6 therefore 913,824 is also divisible by 8 20 832 50 224 12 048 12 000 9 000 35 000 Last 2 digits Last two zeros

17. DIY - Do it Yourself   4 8 6032     8020     24800     2560     Put a check under the correct column applying the rules for divisibility.

18. Divisible by 11 Divisible by 11 – if the difference of the sum of the odd-positioned digits (starting from the left) and the sum of the even-positioned digits (starting from the left) is zero or if it is a multiple of eleven. Example: 913,824 9 1 3 ,8 2 4 odd places 9+3+2 = 14 9 1 3, 8 2 5 even places 1+8+5 = 14 subtract 14 – 14 = 0

19. Divisible by 11 9 1 3 ,8 2 4 odd places 9+3+2 = 14 9 1 3, 8 2 5 even places 1+8+5 = 14 subtract 14 – 14 = 0 Example: 913,824 If the answer is 0 zero or their difference is divisible by 11 . Therefore, the given number is divisible by 11.

20. Divisible by 11 3,234 3+3=6 2+4=6 6-6=0 divisible by 11 98,934 9+9+4=22 8+3=11 22-11=11 divisible by 11 20,504 2+5+4=11 0+0=0 11-0=11 divisible by 11

21. Divisible by 12 Divisible by 12 – if the sum of its digits is divisible by 3 and the number formed by its last two digits is divisible by 4 . Example: 324 3 + 2 + 4 = 9 , sum of its digit is divisible by 3. 3 24 = last two digits is divisible by 4. therefore 324 is divisible by 12.

22. DIY - Do it Yourself   11 12 6324   84590   8040   2100   Put a check under the correct column applying the rules for divisibility.

23. Summary of the Lesson We CAN easily determine if the number gives exact quotient using Divisibility Rules. Following these rules makes our computation more easily.

24. Summarizing the Lesson Divisibility Rules for 2, 5 and 10. Divisibility rule for 2 All even nos. are divisible by 2 Divisibility rule for 5 Numbers ending in 0 and 5 are divisible by 5 Divisibility rule for 10 Numbers ending in 0 are divisible by 10

25. Group Activity Group the pupils into five groups. Use two methods to determine the quotient: Use Long Division & Divisibility Rules. • Discuss the rubrics for the students. • Let them discuss their own work.

26. Group 1 Read the problem carefully and answer the questions that follow Josephine planted 600 onions equally in 20 rows. How many onions were planted in each row?

27. Group 2 Read the problem carefully and answer the questions that follow Christian bought 2 boxes of pizza with 8 slices each inside and he is going to have 8 visitors. How many slices can his visitors have?

28. Group 3 Read the problem carefully and answer the questions that follow Wendy cooked mini siopao for her 2 sons and 3 daughters. If she only cooked 15 mini siopao, how many mini siopao did her 2 sons have and 3 daughters have?

29. Group 4 Read the problem carefully and answer the questions that follow A day care center has 52 children. Each teacher has the same number of children. How many children could each teacher at the center have?

30. Group 5 Read the problem carefully and answer the questions that follow A chain of car dealerships got a shipment of 9,240 new cars. There are the same number of cars in every color. How many different colors could there be?

31. Group Activity Group1: Josephine planted 600 onions equally in 20 rows. How many onions were planted in each row? Group 2: Christian bought 2 boxes of pizza with 8 slices each inside and he is going to have 8 visitors. How many slices can his visitors have? Group 3: Wendy cooked mini siopao for her 2 sons and 3 daughters. If she only cooked 15 mini siopao, how many mini siopao did her 2 sons have and 3 daughters have? Group 4: A day care center has 52 children. Each teacher has the same number of children. How many children could each teacher at the center have? Group 5: A chain of car dealerships got a shipment of 9,240 new cars. There are the same number of cars in every color. How many different colors could there be?

32. Apply Your Skills! Use divisibility rules to help you solve the following problems. Frances has a collection of 672 stamps. She wants to place the stamps in 2 envelopes .Can she place the same number of stamps in each envelope? 2.  The number of books in Karla’s collection is divisible by 2,5 and 10. She has more than 11 books and fewer than 25 books. How many books does Karla have?

33. Assignment

34. Thank you!

35. Day 2

36. Drill Divide the given number a. 248÷ 4 = b. 126 ÷ 3 = c. 126 ÷ 6 = d. 255 ÷ 5 = 6 2 4 2 2 1 5 1

37. Review 1. What is our past lesson? 2. What is the divisibility rule for 4? 8? 12? 11?

38. Review A. Write YES if the larger number is divisible by the smaller number and NO if it is not. _____1.) Can 486 be divisible by 4? _____2.) Can 2 000 be divisible by 8? _____3.) Is 260 divisible by 12? _____4.) Is 684 divisible by 4? _____5.) Is 12 056 divisible by 8? NO YES YES YES YES

39. Problem Opener Study the problem below: Delfin is willing to give a reward to whoever guesses his age this year. His clues state that his age is divisible by 12 and is multiple of 9, and that he is less than 51 years old. How old is Delfin?

40. Questions Delfin is willing to give a reward to whoever guesses his age this year. His clues state that his age is divisible by 12 and is multiple of 9, and that he is less than 51 years old. How old is Delfin? 1. What is asked in the problem? The age of Delfin. 2. What is/are the given? His age is divisible by 12 Multiple by 9 Less than 51 year old

41. Questions Delfin is willing to give a reward to whoever guesses his age this year. His clues state that his age is divisible by 12 and is multiple of 9, and that he is less than 51 years old. How old is Delfin? c. Solve Delfin’s age is less than 51 , so our range is from 1-50 , Listing all numbers divisible by 12 within that range, we have 12, 24, 36, 48 Another clue is that his age is a multiple of 9 . Among the four numbers, we can eliminate 12, 24, and 48 because the only number that is multiple of 9 is 36. Answer: Therefore, Delfin’s age is 36

42. Group Activity Group Activity Group the pupils into five groups. Discuss the rubrics for the students. Let them discuss their own work.

43. Group 1 Ruben is arranging 648 tiles fitted for a bathroom. He wants to put the same number of tiles on each row. How many times can Ruben put on each row?

44. Group 2 Tessa is organizing 990 blocks into boxes at the toy store. She needs to put the same number of blocks in each box without any leftover blocks. How many boxes would Tessa use for the blocks?

45. Group 3 Around 420 players joined in the volleyball tournament. Each team should have the same number of players. How many players could there be on a team?

46. Group 4 David’s little sister is playing with blocks. She wants to put all 63 of her blocks into stacks with the same number of blocks in each stack. How many blocks could David’s sister put into a stack?

47. Group 5 What is the biggest three digits multiple of two that you can think of that uses the digits 5 and 8? Show your answer using any method.

48. Assessment Use any strategy to solve the problem. 1. Anna planted 800 garlic equally in 20 rows. How many garlic were planted in each row? A. 50 garlic B. 40 garlic C. 30 garlic D. 20 garlic

49. Assessment 2. There are 35 peanuts in every bowl. How many peanuts are there in 5 bowls? A. 7 peanuts B. 6 peanuts C. 5 peanuts D. 4 peanuts

50. Assessment 3. Ma’am Malyn has 150 beads for making bracelets. If there are 6 beads in 1 bracelet, how many bracelets can she make? A. 40 bracelet B. 35 bracelet C. 30 bracelet D. 25 bracelet

51. Assessment 4. The product of numbers is 168. If one factor is 3, what is the other factor? A. 12 B. 36 C. 56 D. 96

52. Assessment 5. A farmer planted 210 tomato seeds equally in 7 big bowls. How many tomato seeds were planted each row? A. 30 seeds B. 40 seeds C. 50 seeds D. 60 seeds

53. GROUP ACTIVITY   2 3 4 5 6 8 9 10 11 12 5814   81 235   3 285   34 281 11 255 Put a check under the correct column applying the rules for divisibility.