W2 MATH.pptx TIS IS ALL ABOUT POWER POINT OIN MY SUBJECT FOR WEEK 2

Solve routine and non-routine problems involving factors, multiples, and divisibility rules for 2, 3, 4, 5, 6, 8, 9, 10, 11, and 12.
● Solving Problems on Divisibility Rules
⮚ Solves routine and non-routine problems involving factors, multiples, and divisibility rules for 2,3,4,5,6,8,9,10,11, and 12. (M5NS-Ic-59)
Ipil Elementary School is set to conduct a tree planting activity on September 1, 2020. All Grade 5 boys are expected to plant 50 seedlings, and the
Grade 5 girls are to plant 30 seedlings. They will plant the seedlings in such a way that the trees will grow in equal numbers per row. What is the possible common
number of trees in each row?
Ipil Elementary School is set to conduct a tree planting activity on September 1, 2020. All Grade 5 boys are expected to plant 50 seedlings, and the
Grade 5 girls are to plant 30 seedlings. They will plant the seedlings in such a way that the trees will grow in equal numbers per row. What is the possible common
number of trees in each row?

1. Solving Problems Involving Divisibility rules for 2, 3,4, 5, 6, 8, 9, 10, 11, and 12 Week 2-Day 1

2. DRILL! Divisible by 12 ? 252 ✔

3. DRILL! Divisible by 4 ? 238 X

4. DRILL! Divisible by 11 ? 11423 X

5. DRILL! Divisible by 9 ? 200 X

6. DRILL! Divisible by 8 ? 2340 X

7. DRILL! Divisible by 6 ? 8763 X

8. Solving routine and non- routine problems involving factors, multiples, and divisibility rules for 2 , 3 , 4 , 5 , 6 , 8 , 9 , 10 , 11 , and 12 .

9. Cardo bikes every 12th day and Ina every 8th day at the Luneta park as their exercise. Cardo and Ina both biked today. How many days will it be until they bike together again? Read the word problem:

10. Based on the given problem, What form of exercise do Cardo and Ina do? Is exercise good for our body? What exercise do you do at home? How will you solve the problem ?

11. Solution: What operation did we used? Multiplication

12. Factors and multiples are not the same. When we say factors , these are the numbers that you multiply to get the product. Multiples are the products you get when you multiply a number by the set of counting numbers. For example: Factors of 30= 1X30 2X15, 3X10, 5X6 Factors of 30 are: 1, 2, 3, 5, 6, 10, 15 and 30

13. Multiples of 30 30X1 = 30 30 X 2 = 60 30 X 3 = 90 30 X 4 = 120 Multiples of 30 are 30, 60, 90, and 120 and so on

14. Whole numbers when multiplied to give a certain number are called the factors of that number. By the phrase ‘the factors of 30’, we mean all the factors of 30. These are 1, 30, 2, 15, 3 10, 5, 6. The numbers: 30, 60, 90, 120 are called multiples of 30 as each of them is obtained by multiplying a counting number (1, 2, 3 ....) by 30.

15. Solve the problemusing AGONSA. Write the answer on your answer sheet. There are 20 eggplant seedlings planted equally in 5 rows at Simon Elementary School’s Gulayan sa Paaralan . How many eggplant seedlings were planted in each row? What is A sked? What are the G iven facts? What is the O peration? What is the N umber sentence? What is the S olution? What is the A nswer?

16. There are 20 eggplant seedlings planted equally in 5 rows at Simon Elementary School’s Gulayan sa Paaralan. How many eggplant seedlings were planted in each row? What is A sked? How many eggplant seedlings were planted in each row? What are the G iven facts? 20 eggplant seedlings and 5 rows What is the O peration? Division What is the N umber sentence? 20 / 5 = 4 What is the S olution? What is the A nswer? 4 eggplant seedlings in each row.

17. Christian bought 2 boxes of cupcakes with 8 pieces each inside. He is going to have 8 visitors. How many cupcakes can his visitors have?

18. How many cupcakes can his visitors have? Given: 2 boxes (8 pcs/box) 8 visitors 2 x 8 = 16 pcs 16 ÷ 8 = 2 2 cupcakes

19. How do you solve routine and non-routine word problem involving factors, multiples and divisibility rules for 2, 3,4,5,6,7,8,9,10,11, and 12? • In solving routine and non-routine word problems involving factors, multiples and divisibility, you have to follow the divisibility rules for 2, 3,4,5,6,7,8,9,10,11, and12.

20. Direction. Read and solve the following word problems. 1) What digit can you place in the blank so that 456,7 ________ 2 is divisible by 3? 2) The product of 32 X 31 is closest to which multiple of 10? 3) What is the least number of pupils that can be grouped into 5, 6, or 12 for games during PE class? 4) Give three factors of 24 aside from 1. 5) Give three multiples of 6.

21. Solving Problems Involving Divisibility rules for 2, 3,4, 5, 6, 8, 9, 10, 11, and 12 Week 2-Day 2

22. Let’s Recall!

23. Study the problem below: Basud Integrated School is set to conduct a tree planting activity on September 1, 2024. All Grade 5 boys are expected to plant 50 seedlings, and the Grade 5 girls are to plant 30 seedlings. They will plant the seedlings in such a way that the trees will grow in equal numbers per row. What is the possible common number of trees in each row?

24. What is Asked? What is the possible common number of trees in each row. What are the Given Facts? The tree planting activity is happening at Ipil Elementary School on September 1, 2020. All Grade 5 boys are expected to plant 50 seedlings. Grade 5 girls are expected to plant 30 seedlings. The trees need to be planted in rows with an equal number of trees in each row.

25. What is the Operation? We need to find a common number that can evenly divide both 50 (number of seedlings planted by Grade 5 boys) and 30 (number of seedlings planted by Grade 5 girls). What is the Number Sentence? We are looking for a common divisor of 50 and 30.

26. What is the Solution? To find the common number of trees in each row, we need to find the factors of 50 and 30. What is the Answer? The common factors of 50 and 30 are 2, 5 and 10 . Therefore, the possible common number of trees in each row is 2, 5, and 10.

27. There are two types of word problems you may encounter. It could be: 1. Routine problems that are useful for daily living; or 2. Non-routine problems which are mostly concerned with developing mathematical reasoning and fostering an understanding that mathematics is a creative endeavor.

28. There are two types of word problems you may encounter. It could be: 1. Routine problems that are useful for daily living; or 2. Non-routine problems which are mostly concerned with developing mathematical reasoning and fostering an understanding that mathematics is a creative endeavor.

29. Understand - know what is asked, what are given facts. Plan - know the operation, write the number sentence Solve - write the correct answer, label your answer Check and look back - review and check your answer. `` We may also apply the POLYA’S FOUR-Step PLan

30. Word Problem.   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?

31. Applying the Polya’s Technique. a. Understand • What is asked? The age of Delfin this year • What are given? Age is divisible by 12 Age is multiple of 9 Age is less than 51

32. b. Plan • What strategy can we use to solve this problem? Since there are just a few numbers less than 51 which are divisible by 12 and 9, we will use Listing Method and Elimination. 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.

33. 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

34. The Barangay Youth Officials of Purok SONA are planning to conduct clean-up drive and tree planting in their costal area. There are 125 youths who are officially registered and are requested to participate the said activity. How many groups could there be with equal number of members in a group? Word Problem!

35. Given: 125 registered youth What is Asked: number of group and equal number in each group. Solution: 125 is divisible by what number? Trying 2, 3 4, 6, 8, 9, 10, 11 and 12 in divisiblility rules. 125 is only divisible by 5. Answer: There will be 5 groups and each group will have 25 youths members to do the tree planting and clean-up drive.

36. 1. Routine problems that are useful for daily living; or 2. Non-routine problems which are mostly concerned with developing mathematical reasoning and fostering an understanding that mathematics is a creative endeavor. What are the two types of word problem?

37. Directions: Solve the following problems involving factors, multiples, and divisibility rules for 2, 3, 4, 5, 6, 8, 9, 10,11, and 12. 1) Ruben is arranging 648 tiles fitted a bathroom. He wants to put the same number of tiles on each row. How many tiles can Ruben put on each row? A. 5 B. 11 C. 10 D. 12 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? A. 4 B. 10 C. 12 D. 8

38. 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? A. 8 B. 9 C. 11 D. 12 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? A. 4 B. 6 C. 9 D. 10

39. Solving Problems Involving Divisibility rules for 2, 3,4, 5, 6, 8, 9, 10, 11, and 12 Week 2-Day 3

40. 27,36,126, 81, 651   Which of these numbers is divisible by 3, 6, or 9?

41. Read the word problem: Malopa Elementary School had 450 grade five pupils having 9 classrooms. What could be the number of students in each classroom? What is Asked? The possible number of students in each classroom at Malopa Elementary School. What are the Given Facts? =Malopa Elementary School has 450 grade five pupils. =There are 9 classrooms available for these students.

42. What is the Number Sentence? 450 / 9 = ? What is the Solution? Divide the total number of students (450) by the number of classrooms (9): Number of students in each classroom = 450 / 9 = 50. What is the Answer? The possible number of students in each classroom at Malopa Elementary School is 50.

43. Study the problem and apply what you have learned in the previous lesson about multiples, common factors and divisibility rules. The length and width of a rectangle gardend are 108 m by 144m. Trees are planted at equal distance along the sides of the garden.

44. Choose the correct answer in the given boxes..

45. If you earn Php 1,000 a week. How much you earned in 1 month? 4 weeks in a month 1000 pesos a week 1000 x 4= 4000 pesos Answer: 4000 pesos in a month

46. 1. Routine problems that are useful for daily living; or 2. Non-routine problems which are mostly concerned with developing mathematical reasoning and fostering an understanding that mathematics is a creative endeavor. What are the two types of word problem?

47. Solve the following by applying the steps in solving routine and non-routine problems. 1. Josephine planted 600 onions equally in 20 rows. How many onions were planted in each row? 2. How many 500 are there in 5,000? 3. Cathy earns Php 1,000 a week. How much does she earn in 1 month?

48. 4. 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? 5. 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?

49. Solving Problems Involving Divisibility rules for 2, 3,4, 5, 6, 8, 9, 10, 11, and 12 Week 2-Day 4

50. Answer the following questions with a Yes or No. ___1. Is 238 divisible by 2? ___2. Is 660 divisible by 5? ___3. Is 530 divisible by 10? ___4. Is 93 divisible by 3? ___5. Is 100 divisible by 10?

51. Gaara wants to hang 39 certificates on his office wall. He wants to put the same number of certificates in each row. How many rows could Gaara make?

52. How many rows could Gaara make? Given: 39 certificates

53. 2 3 4 5 6 7 8 9 10 11 12 13 39 ✔ 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 ✔ ✔

54. 39 3 x 13 Using the Factor Tree Technique Gaara could make 3 rows, each containing 13 certificates, to hang all 39 certificates on his office wall with the same number of certificates in each row.

55. I am a multiple of 3, 4, 5, and 6. I am a factor of 120. Divided by 7, I leave a remainder of 4. Who am I? Answer:60

56. 1. Routine problems that are useful for daily living; or 2. Non-routine problems which are mostly concerned with developing mathematical reasoning and fostering an understanding that mathematics is a creative endeavor. What are the two types of word problem?

57. Answer the Following word problem. 1) How many whole numbers among the given numbers are divisible by 2? by 5? by 10? a. Numbers between 86 236 and 87 000 b. Numbers between 2366 and 8080 2) What is the biggest three-digit multiple of 2 that you can think of that uses the digits 5 and 8? Show your answer using any method. 3) What is the largest possible five-digit number divisible by 12 that you can make from the digits 1,2, 3, 5 and one more digit?

58. Solving Problems Involving Divisibility rules for 2, 3,4, 5, 6, 8, 9, 10, 11, and 12 Week 2-Day 5 QUIZ DAY