Math 5_Week 7 involving multiplication with and without addition and subtraction

Solving word problem

1. Solve Word Problems Involving Multiplication Without or With Addition or Subtraction of Fractions and Whole Numbers Day 1

2. Find the value of N. 1. 5/9 + 3/9 =N 2. 8/12 +4/12 =N 3. 1/6 + 2/4 =N 4. 4/5 +5/6 =N 5. 7/8 +5/9 =N

3. Look at these pictures.

4. Cruella sell food at the market. Her daily budget is Php 3, 500.00. She allots 4/7 for meat, 2/7 for fish and 1/7 for vegetables and other ingredients. How much is the amount of money allotted for buying fish, vegetables and other ingredients?

5. Solving word problems. Step 1: Read and Understand What is asked in the problem? - The amount of money allotted for buying fish, vegetables and other ingredients b. What is/ are given facts? - Budget worth Php 3,500.00 -4/7 for meat, 2/7 for fish and 1/7 for vegetables and other ingredients

6. Step 2: Plan Add the fractional parts (2/7fish + 1/7 vegetables and other ingredients) Multiply the sum by the marketing budget. Mathematical sentence. 3,500.00 x(2/7 + 1/7)=N

7. Step 3: Solve Follow the PMDAS rules. 3,500.00x(2/7 +1/7)=N 3,500.00x 3/7 3,5000/1 x 3/7 =N 10,500.00/7=N 10,500 ÷7 = 1,500 or 1,500.00 7 ÷7 = 1

8. Therefore, the amount allotted for fish, vegetables and other ingredients is Php 1,500.00.

9. GROUP ACTIVITY

10. Solve. Follow the steps in solving word problem. Joy is 144 cm tall, and Jasmin is 1/6 taller than her. How tall is Jasmin? Step 1: Read and Understand What is asked in the problem? What is/ are given facts? Step 2: Plan Write the mathematical Sentence. Step 3: Solve Step 4: Check  

11. Solve. In a graduating class of 164 students, 2 /4 decided to take technical courses, 1 /4 wanted to take education, and the rest decided to study nursing. How many students will enroll in nursing?

12. How can we solve word problems involving multiplication of fraction with or without addition of fraction and whole numbers? How to add similar fractions? How to add dissimilar fractions? How can we multiply fractions?

13. Solve. Follow the steps in solving word problem. One- fifth of the 40 pupils of Miss Ramos are Math Club members. How may pupils are Math Club members?

14. Solve Word Problems Involving Multiplication Without or With Addition or Subtraction of Fractions and Whole Numbers Day 2

15. Drill. What is the value of n? 4 – 2 = n 6 6 2. 1 7 – 3 =n 9 9 3. 12 4 – 2 2 =n 5 5 4. 1 x 2 =n 4 4 5. 2 x 3 = n 4 5

16. Ask: During th e time of pandemic, what do you do to help people who are needed? What do you share?

17. Manuel harvested 2 sacks of palay in his farm. Each sack weighed 25 ¼ kilograms. To share his blessing during this time of pandemic, he gave 1/3 of all harvested palay to his neighbors. How many kilograms of palay left to Manuel?

18. Solving word problems. Step 1: Read and Understand What is asked in the problem? Total number in kilograms of palay left to Manuel? What is/ are given facts? 25 ¼ of kilograms of palay 1/3 of all harvested palay

19. Step 2: Plan Use multiplication and subtraction of fractions. Mathematical sentence. (2 x 25 ¼) -1/3 =n

20. Step 3: Solve (2 x 25 ¼) -1/3 =n ( 2 x 25 1 ) – 1 = n 1 4 3 ( 2 x 101 ) – 1 =n 1 4 3

21. ( 2 x 101 = 202 simplify 1 4 4 202 ÷4= 50 r.2 50 1/2 -1/3 =n 50 1/ 2– 1/3 = 50 3/6 – 2/6 =n 50 3/6- 2/6 = 50 1/6  

22. Therefore, Manuel still has 50 1/6 kgs. of palay left.

23. GROUP ACTIVITY

24. Problem # 1: Rita has 10 guavas. She shared 3/5 of these guavas with her classmates. She then gave her brother 2 of the remaining guavas. How many guavas are left for Rita?  

25. Problem # 2: Eight pupils have 5 marbles each. If they gave away 5/8 of these marbles, how many marbles are left?

26. How can we solve word problems involving multiplication of fraction with or without subtraction of fraction and whole numbers? How to subtract similar fractions? How to subtract dissimilar fractions? How can we multiply fractions?

27. Solve. Follow the steps in solving word problem. Linda received ½ slice of a pizza from her friend. She gave 1/3 of this to her seatmate who had no money to buy food for recess. What part of the whole pie did Linda share to her seatmate?

28. Solve Word Problems Involving Multiplication Without or With Addition or Subtraction of Fractions and Whole Numbers Day 3

29. Solve for the missing number. 1. 2/3 x n/2 = 2/6 = ____ 2. n/4 x ½ = 2/8 = _____ 3. 5/6 x n/5 = 15/30 = _____ 4. 2/3 x n/4 = 6/12 = _____ 5. 5/n x 3/5 = 15/40 = _____

30. Who among you are Boy Scouts? Girl Scouts? Is it good to join in scouting activities? Why?

31. There are 19 boys in section 1 and 23 boys in section 2. If 2/6 of them are boy scouts, how many boy scouts are there?

32. Solving word problems. Step 1: Read and Understan 1. What is asked in the problem? 2. What is/ are given facts?

33. Step 2: Plan What is the operation to be used? Mathematical sentence. Step 3: Solve

34. GROUP ACTIVITY

35. Problem # 1: The boy scouts brought 12 metres of rope. They cut ½ of it into pieces of 2/3 metre each. How many pieces did they make?  

36. Problem # 2: Nicole earns Php 1,000 a week from selling bibingka. She saves 1/5 of it and gives ½ of what was left to her parents. How much money was left for Nicole to spend for herself?

37. How can we solve word problems involving multiplication of fraction with or without subtraction of fraction and whole numbers? How to subtract similar fractions? How to subtract dissimilar fractions? How can we multiply fractions?

38. Solve. Follow the steps in solving word problem. There are 24 hours in a day. Noel spends 3/8 of a day working. How much time does Noel spend in working?

39. Showing that multiplying a fraction by its reciprocal is equal to 1. Day 4

40. Find the product. (Use show me board) 1. 3/8 x 2/3 2. ¼ x 16 3. ½ x ¼ 4. 5 x 2/5 5. 2/3 x ½

41. Do you have any left over items at home which can be used for another purpose? Today, let’s talk about a boy who makes use of leftover materials in making book ends and glass coasters.

42. He found 4 pieces of wood from his parent’s furniture shop. He cut each many pieces he will be able to cut using different fractional parts.

43. Help Roderick tell how many pieces of wood will he have if he cuts the 8-decimeter board into: 1. ½ dm long section 2. ¼ dm long section 3. 1/5 dm long section 4. 1/8 dm long section

44. a. Ask each pair to get 4 pieces of strips to represent the wood. Let them make a strip that is 4 dm long. b. Guide them to make the indicated section. Let them mark the section and give each section a name.

45. c. Examine the 4 pieces of paper you just folded. How many folds did you count, when folded each decimeter into 2? What do you call each part? (1/2) How many 1/2s were you able to count? (8) What math sentence will you make to find how many halves are there in 4 dm? To find the answer what did you actually do?

46. d. Guide the pupils to notice about the two fractions. (The denominator of 1 fraction becomes the numerator of the next fraction.

47. GROUP ACTIVITY

48. Give the reciprocal of the given numbers. (Use show me board) 1. 11/4 2. 1/5 3. 8 4. 3/7 5. 8/10

49. Write “YES” if the second number is the reciprocal of the first. If not, write the reciprocal of the first number. 1. 1 ½ x 2/3 2. 8 2/5 x 5/42 3. 2 3/8 x 8/10 4. 3 2/3 x 11/2 5. 4 1/6 x 6/24

50. What do you call number pair of fraction? What is multiplicative inverse?

51. Which pairs of fraction are reciprocals. If they are not, write the reciprocal. 1. 1/5 and 5/1 2. ¾ and ¼ 3. 3/9 and 1/3 4. 3/12 and 2/13 5. 1 7/8 and 8/7

52. Showing that multiplying a fraction by its reciprocal is equal to 1. Day 5

53. Solve the problem Camille had 1/2 kg of lanzones . Camille let her friend Jim eat 1/4 of the lanzones . How kilogram of lanzones did Jim eat?

54. Do you have any left over items at home which can be used for another purpose? Today, let’s talk about a boy who makes use of leftover materials in making book ends and glass coasters.

55. He found 4 pieces of wood from his parent’s furniture shop. He cut each many pieces he will be able to cut using different fractional parts.

56. Help Roderick tell how many pieces of wood will he have if he cuts the 8- decimeter board into: 1. ½ dm long section 2. ¼ dmlong section 3. 1/5 dm long section 4. 1/8 dm long section

57. a. Ask each pair to get 4 pieces of strips to represent the wood. Let them make a strip that is 4 dm long. b. Guide them to make the indicated section. Let them mark the section and give each section a name.

58. c. Examine the 4 pieces of paper you just folded. How many folds did you count, when folded each decimeter into 2? What do you call each part? (1/2) How many 1/2s were you able to count? (8) What math sentence will you make to find how many halves are there in 4 dm? To find the answer what did you actually do?

59. d. Guide the pupils to notice about the two fractions. (The denominator of 1 fraction becomes the numerator of the next fraction.

60. GROUP ACTIVITY

61. Give the reciprocal of the given numbers. (Use show me board) 1. ¾ 2. 5/6 x / 1/4 3. 1/3 + 2/3 4. ½ - 2/3 5. 3/10

62. Write “YES” if the second number is the reciprocal of the first. If not, write the reciprocal of the first number. 1. 3/17 x 5 2/3 2. 2¼ x 4/9 3. 3 2/4 X 4/13 4. ½ + 1/3 X 5/6 5. ¾ - ¼ x 2/1

63. What do you call number pair of fraction? What is multiplicative inverse?

64. Answer the following: 1. Find the product of 2/4 and 6/8, then give its reciprocal. 2. What is the reciprocal of the difference between 5/6 and ½? 3. Multiply ½ by 4, then give the multiplicative inverse of the product. 4. The sum of ½ and ¼ is ___. What is its reciprocal? 5. Give the reciprocal of 1/6.