Q2_MATH_PPT_WEEK 3.pptx,,,,,,,,,,,,,ppt.

quarter two math week 2

1. MATHEMATICS 6 QUARTER 3 WEEK 3 DAY 1

2. REVIEW Directions: Give one example of the 3 types of proportion. 1. Direct Proportion 2. Inverse Proportion 3. Partitive Proportion

3. What do you observe in the picture? Do you think consumers will save money? Why?

4. UNDERSTANDING PERCENT: FRACTIONS, DECIMALS AND PERCENT; PERCENTAGE, RATE, BASE

5. Study the illustrations below

6. A percent can also be express as a decimal or fraction. A half can be written as:

7. TEEHAN’S TRIANGLE To aid us in finding the terms, we will use the Teehan’s Triangle below.

8. TEEHAN’S TRIANGLE To solve for the percentage, we use the formula: 𝑃𝑒𝑟𝑐𝑒𝑛𝑡𝑎𝑔𝑒 (𝑃) = 𝐵𝑎𝑠𝑒 (𝐵) × 𝑅𝑎𝑡𝑒 (𝑅)

9. TEEHAN’S TRIANGLE To solve for the base, we use this formula:   𝐵𝑎𝑠𝑒 (𝐵) =

10. TEEHAN’S TRIANGLE To solve for the rate, we will use: 𝑅𝑎𝑡𝑒 (𝑅) =

11. Example 1 (Finding the Percentage) What is 50% of 250? 𝑃 = 𝐵 × 𝑅 = 250 x 50% = 250 x 0.50 = 125 Remember, the preposition “of” means multiplication.

12. Example 2 (Finding the Base) 300 is 75% of what number? 𝐵𝑎𝑠𝑒 ( 𝐵 ) =   𝐵𝑎𝑠𝑒 ( 𝐵 ) = (convert 75% to decimal) B = 400  

13. Example 3 (Finding the Rate) What percent of 600 is 30? 𝑅𝑎𝑡𝑒 ( 𝑅 ) = 𝑅𝑎𝑡𝑒 ( 𝑅 ) = R = 0.05 R = 5%

14. Directions: Identify the percentage, base and rate in each statement. Draw if the part is missing. 1) 25% of 400 is 100. P = ______ B = ______ R = ______ ACTIVITY 1

15. 2) 40% of 600 is 240. P = ______ B = ______ R = ______ 3) 150 is 20% of 750. P = ______ B = ______ R = ______ ACTIVITY 1

16. 4) What is 9% of 360? P = ______ B = ______ R = ______ 5) 200 is 80% of what number? P = ______ B = ______ R = ______ ACTIVITY 1

17. ASSESSMENT Directions: Identify whether the missing value is the percentage, base, or rate. Then, find each missing value. Show your computations. 1) 12% of 72 is what number?

18. ASSESSMENT 2) 2.05 is what percent of 82? 3) What percent of 48 is 6?

19. ASSESSMENT 4) 8% of a number is 15.6. What is the number? 5) What is 6% of 400?

20. MATHEMATICS 6 QUARTER 3 WEEK 3 DAY 2

21. REVIEW Directions : Look at Castro Family’s budget for the month of February. Answer the questions that follow. Castro Family Budget Food = ₱ 16 000.00 Transportation = ₱ 8 000.00 Electricity = ₱ 2 000.00 Internet = ₱ 1 500.00 Savings = ₱ 12 500.00

22. REVIEW Find out how many percent is allocated for: 1) Food 2) Transportation 3) Internet 4) Savings 5) Total budget

23. 75% What do you observe in the picture?

24. UNDERSTANDING PERCENT: FRACTIONS, DECIMALS AND PERCENT; PERCENTAGE, RATE, BASE

25. Study the illustrations below

26. A percent can also be express as a decimal or fraction. A half can be written as:

27. TEEHAN’S TRIANGLE To aid us in finding the terms, we will use the Teehan’s Triangle below.

28. TEEHAN’S TRIANGLE To solve for the percentage, we use the formula: 𝑃𝑒𝑟𝑐𝑒𝑛𝑡𝑎𝑔𝑒 (𝑃) = 𝐵𝑎𝑠𝑒 (𝐵) × 𝑅𝑎𝑡𝑒 (𝑅)

29. TEEHAN’S TRIANGLE To solve for the base, we use this formula:   𝐵𝑎𝑠𝑒 (𝐵) =

30. TEEHAN’S TRIANGLE To solve for the rate, we will use: 𝑅𝑎𝑡𝑒 (𝑅) =

31. Example 1 (Finding the Percentage) What is 50% of 250? 𝑃 = 𝐵 × 𝑅 = 250 x 50% = 250 x 0.50 = 125 Remember, the preposition “of” means multiplication.

32. Example 2 (Finding the Base) 300 is 75% of what number? 𝐵𝑎𝑠𝑒 ( 𝐵 ) =   𝐵𝑎𝑠𝑒 ( 𝐵 ) = (convert 75% to decimal) B = 400  

33. Example 3 (Finding the Rate) What percent of 600 is 30? 𝑅𝑎𝑡𝑒 ( 𝑅 ) = 𝑅𝑎𝑡𝑒 ( 𝑅 ) = R = 0.05 R = 5%

34. ACTIVITY 2 Directions: Copy and complete the table below. Identify the base, rate and percentage. One is done for you. Given Base Rate Percentage 1) 75% of 40 is 30. 40 75% 30 2) 20% of 80 is 16.      

35. ACTIVITY 2 Given Base Rate Percentage 3) 60% of 50 is 30.       4) 27 is 45% of 60.       5) 17 is 85% of 20.       6) 13% of 300 is 39.      

36. Directions : Match column A with column B. ASSESSMENT

37. MATHEMATICS 6 QUARTER 3 WEEK 3 DAY 3

38. REVIEW Directions: Modified True or False: Write True if the statement is correct. If it is false, replace the underlined number/word to make the statement true.

39. REVIEW 1) Eight is 30 percent of 32? 2) Fifty percent of 60 is 30? 3) Sixty is 25 % of 300? 4) N% of 130 = 10. N is 7.69% . 5) Forty-eight is 45% of 120?

40. How can you relate percentage and rate in this picture?

41. Study the illustrations below

42. A percent can also be express as a decimal or fraction. A half can be written as:

43. TEEHAN’S TRIANGLE To aid us in finding the terms, we will use the Teehan’s Triangle below.

44. TEEHAN’S TRIANGLE To solve for the percentage, we use the formula: 𝑃𝑒𝑟𝑐𝑒𝑛𝑡𝑎𝑔𝑒 (𝑃) = 𝐵𝑎𝑠𝑒 (𝐵) × 𝑅𝑎𝑡𝑒 (𝑅)

45. TEEHAN’S TRIANGLE To solve for the base, we use this formula:   𝐵𝑎𝑠𝑒 (𝐵) =

46. Example 2 (Finding the Base) 300 is 75% of what number? 𝐵𝑎𝑠𝑒 ( 𝐵 ) =   𝐵𝑎𝑠𝑒 ( 𝐵 ) = (convert 75% to decimal) B = 400  

47. TEEHAN’S TRIANGLE To solve for the rate, we will use: 𝑅𝑎𝑡𝑒 (𝑅) =

48. Example 1 (Finding the Percentage) What is 50% of 250? 𝑃 = 𝐵 × 𝑅 = 250 x 50% = 250 x 0.50 = 125 Remember, the preposition “of” means multiplication.

49. Example 3 (Finding the Rate) What percent of 600 is 30? 𝑅𝑎𝑡𝑒 ( 𝑅 ) = 𝑅𝑎𝑡𝑒 ( 𝑅 ) = R = 0.05 R = 5%

50. Directions : Read and analyze the problems below. Show the complete answer on your notebook. 1) What percent of 30 is 6? ACTIVITY 3

51. 2) Fifteen is what percent of 25? 3) What is 40% of 90? ACTIVITY 3

52. 4) Twenty-five percent of 120 is what number? 5) Twenty-five percent of ____ is 21.25? ACTIVITY 3

53. ASSESSMENT Directions : Analyze and solve the problems below using AGONSA . 1. Ten percent of the students in a Math class are absent. If there are 4 students who are absent, how many students are enrolled in a Math class?

54. ASSESSMENT 2. Nick is a factory worker. He worked 9 months in a year. What percent of the year did he work? 3. At Alcona Resort, 8% of the visitors are foreigners. If there are 225 visitors at the resort, how many visitors are foreigners?

55. MATHEMATICS 6 QUARTER 3 WEEK 3 DAY 4

56. REVIEW Directions : Read and solve the problems. Show your solutions in your notebook. Label your final answers. 1) Trexie Joy has 110 pieces of bond paper. She used 30% for her Portfolio. How many pieces did she use?

57. REVIEW 2) A school chess club has 50 members. Twenty-nine of them are girls. What percent of the chess club are girls? 3) There are 72 Grade 6 pupils in a school. The Grade six pupils comprise 12% of the total enrolment. How many pupils are enrolled in a school?

58. How can you relate percentage and rate in this picture?

59. Study the illustrations below

60. A percent can also be express as a decimal or fraction. A half can be written as:

61. TEEHAN’S TRIANGLE To aid us in finding the terms, we will use the Teehan’s Triangle below.

62. TEEHAN’S TRIANGLE To solve for the percentage, we use the formula: 𝑃𝑒𝑟𝑐𝑒𝑛𝑡𝑎𝑔𝑒 (𝑃) = 𝐵𝑎𝑠𝑒 (𝐵) × 𝑅𝑎𝑡𝑒 (𝑅)

63. TEEHAN’S TRIANGLE To solve for the base, we use this formula:   𝐵𝑎𝑠𝑒 (𝐵) =

64. Example 2 (Finding the Base) 300 is 75% of what number? 𝐵𝑎𝑠𝑒 ( 𝐵 ) =   𝐵𝑎𝑠𝑒 ( 𝐵 ) = (convert 75% to decimal) B = 400  

65. TEEHAN’S TRIANGLE To solve for the rate, we will use: 𝑅𝑎𝑡𝑒 (𝑅) =

66. Example 1 (Finding the Percentage) What is 50% of 250? 𝑃 = 𝐵 × 𝑅 = 250 x 50% = 250 x 0.50 = 125 Remember, the preposition “of” means multiplication.

67. Example 3 (Finding the Rate) What percent of 600 is 30? 𝑅𝑎𝑡𝑒 ( 𝑅 ) = 𝑅𝑎𝑡𝑒 ( 𝑅 ) = R = 0.05 R = 5%

68. Directions : Read and analyze the problems below. Show the complete answer on your notebook. 1) One hundred twenty-five is what percent of 500? ACTIVITY 4

69. 2) Twenty is what percent of 200? 3) What number is 20% of 130? ACTIVITY 4

70. 4) Eighteen percent of 150 is what number? 5) Sixteen percent of what number is 8.96? ACTIVITY 4

71. ASSESSMENT Directions : Analyze and solve the problems below using AGONSA . 1. Mr. Catinan was able to save ₱ 27.75 on a pack of hotdogs. This amount is 15% of the original price. Find the original price of the pack of hotdogs.

72. ASSESSMENT 2. There are 40 Grade 6 pupils in a class. If 30 are boys, what percent are girls? 3. Vic saves 9% of his salary each month. If Vic’s salary is ₱16 000, how much is Vic’s monthly savings?