Q2_MATH_PPT_WEEK 4.pptx pppppptttttttttt

quarter two math 4 ppty

1. MATHEMATICS 6 QUARTER 2 WEEK 4 DAY 1

2. REVIEW Directions : Identify whether the missing value is the percentage, base, or rate. Then, find each missing value. 1) 12% of 72 is what number?

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

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

5. When do we usually see this sign?

6. SOLVING PROBLEMS INVOLVING PERCENT OF INCREASE OR DECREASE

7. PERCENT OF CHANGE Percent of change which indicates how much a quantity increases or decreases with respect to the original amount. This change can be expressed as a percent of increase or decrease.

8. PERCENT OF CHANGE   Example 1: Find the percent of increase from 10 to 12 Solution: Therefore, the percent of increase from 10 to 12 is 20%.  

9. PERCENT OF CHANGE   Example 2: Find the percent of decrease from 20 to 5. Solution: Therefore, the percent of decrease from 20 to 5 is 75% .  

10. PERCENT OF CHANGE Sample Problem : Johnny bought a computer printer on sale at the store. The computer printer was originally sold at ₱9 000 last month and it is now on sale at ₱7 650. What is the percent of change?

11. PERCENT OF CHANGE What is A sked? Answer: The percent of change of printer from ₱9 000 to ₱7 650. B. What is the G iven facts Last month, the printer costs ₱9 000. Now, its sale price is ₱7 650.?

12. PERCENT OF CHANGE C. What O peration will use? Answer: Subtraction, Division, Multiplication D. What is the N umber Sentence? Answer:  

13. PERCENT OF CHANGE E. What is the S olution and A nswer? Answer:        

14. ACTIVITY 1 Directions : Study and complete the solution to each problem carefully. Write your complete answers. 1) Last week, oil price was set at ₱30.00 per liter. This week, it became ₱31.35 per liter. Find the percent of increase in the oil price.

15. ACTIVITY 1 2) A cellphone with original price of ₱3 000 is now sold at ₱1 800. Solve for percent of change and specify if increase or decrease.

16. ASSESSMENT Directions : Consider the following situations and complete the table below. Fill in the missing cells with the correct answers.

17. ASSESSMENT Situation Increase or Decrease in amount? Difference Percent of Change 1. The water level in Mosqueda reservoir goes down from 840 cubic meter to 798 cubic meter after an hour. What was the percent of change in the amount of water?      

18. ASSESSMENT Situation Increase or Decrease in amount? Difference Percent of Change 2. Rj’s daily allowance last year was ₱75. This year he is receiving an amount of ₱93.00 daily. What is the percent of change in the amount of his allowance?      

19. ASSESSMENT Situation Increase or Decrease in amount? Difference Percent of Change 3. Stephen enrolled in the gym to lose weight. Before he started his program, he weighed 75 kg. After his training, he weighed 66 kg. What was the percent of change in his weight?      

20. ASSESSMENT Situation Increase or Decrease in amount? Difference Percent of Change 4. The price of steak per serving changes from ₱1 954 to ₱2 227.56. What is the percent of change in the price of the steak?      

21. ASSESSMENT Situation Increase or Decrease in amount? Difference Percent of Change 5. Tanaman’s electric consumption last month was 105 kW. This month they have consumed 126 kW. What was the percent of change in their electric consumption for the last 2 months?      

22. MATHEMATICS 6 QUARTER 2 WEEK 4 DAY 2

23. REVIEW Directions: Read and solve the problems. Show your solutions and label your answers. 1) Joy weighed 80 kilograms last month. She is on diet these days and now she is 76 kilograms. What is the percent of change in Joy’s weight?

24. REVIEW 2) Last school year, the Mathematics Club of the school raised ₱1 800 from a fund-raising activity. This year’s collected is ₱450 more than the previous year. What is the percent of change?

25. Why discounts are important when we buy something?

26. SOLVING PERCENT PROBLEMS INVOLVING MARKUPS AND DISCOUNTS

27. DISCOUNT Discount(D) = Discount Rate(DR) x Original Price (OP) Example: Lea received 10% discount on a dress that cost ₱300.00. How much is the discount she receive? D = DR X OP D = 10% x 300 D = .10 x 300 D = 30 substitute 10% to decimal

28. DISCOUNT RATE Discount Rate =   Example : Fatima received a ₱20.00 discount from the bag she bought at original price of ₱100.00. What was the discount rate of the bag? Discount Rate =   Discount Rate = 0.2 x 100% Discount Rate = 20%

29. ORIGINAL PRICE Original Price =   Example : Mimay got ₱200.00 discount on a slippers that she bought with a 50% discount rate at the department store. What was the original price of the slippers? Original Price = 400  

30. SALE PRICE Sale Price = Original Price (OP) – Discount (D) Example : Nicole saved ₱20.00 discount from the bag she bought at original price of ₱100.00. What was the sale price of the bag? Sale Price = 100 - 20 = 80  

31. MARKED UP PRICE Marked Up Price = Cost (C) x Marked Up Rate (MR) Example : Betty bought bananaque that cost ₱3.00 each, she decided to add 50% marked up rate.What was the marked up price of each bananaque ? Marked Up Price = Cost (C) x Marked Up Rate (MR) = 3 x 50% = 3 x 0.50 Marked Up Price = 1.5

32. ACTIVITY 2 Directions : Solve what is asked. Show your solutions and label your answers. 1) Arniel was given a 15% discount on a T-shirt that he bought marked at ₱895. How much did he pay for the T-shirt? How much discount did he save?

33. ACTIVITY 2 2) Terrence bought a pair of shoes at ₱1 500. She was given a discount of ₱300. What was the rate of discount? 3) What is the original price of an item with 15% discount and the sale price is ₱425?

34. ASSESSMENT Directions: Answer the following questions using AGONSA . 1) The department store pays its supplier with ₱450 for a piece of blouse, then sells it at ₱630. How much is the markup price for a piece of blouse? What is the markup rate?

35. ASSESSMENT A. What is asked? B. What are the given facts? C. What operation will use?

36. ASSESSMENT D. What is the number sentence? E. What is the solution and answer?

37. MATHEMATICS 6 QUARTER 2 WEEK 4 DAY 3

38. REVIEW Directions: Answer the following questions using AGONSA. The department store pays its supplier with ₱450 for a piece of blouse, then sells it at ₱630. How much is the markup price for a piece of blouse? What is the markup rate?

39. REVIEW A. What is asked? B. What are the given facts? C. What operation will use?

40. REVIEW D. What is the number sentence? E. What is the solution and answer?

41. In what ways does knowing about markups and discounts help us make smart choices when shopping?

42. SOLVING PERCENT PROBLEMS INVOLVING MARKUPS AND DISCOUNTS

43. DISCOUNT Discount(D) = Discount Rate(DR) x Original Price (OP) Example: Lea received 10% discount on a dress that cost ₱300.00. How much is the discount she receive? D = DR X OP D = 10% x 300 D = .10 x 300 D = 30 substitute 10% to decimal

44. DISCOUNT RATE Discount Rate =   Example : Fatima received a ₱20.00 discount from the bag she bought at original price of ₱100.00. What was the discount rate of the bag? Discount Rate =   Discount Rate = 0.2 x 100% Discount Rate = 20%

45. ORIGINAL PRICE Original Price =   Example : Mimay got ₱200.00 discount on a slippers that she bought with a 50% discount rate at the department store. What was the original price of the slippers? Original Price = 400  

46. SALE PRICE Sale Price = Original Price (OP) – Discount (D) Example : Nicole saved ₱20.00 discount from the bag she bought at original price of ₱100.00. What was the sale price of the bag? Sale Price = 100 - 20 = 80  

47. MARKED UP PRICE Marked Up Price = Cost (C) x Marked Up Rate (MR) Example : Betty bought bananaque that cost ₱3.00 each, she decided to add 50% marked up rate.What was the marked up price of each bananaque ? Marked Up Price = Cost (C) x Marked Up Rate (MR) = 3 x 50% = 3 x 0.50 Marked Up Price = 1.5

48. ACTIVITY 3 Directions: Answer the following questions using AGONSA . 1. A bag that costs ₱880 is given 10% discount. How much is the sale price of the bag?

49. ACTIVITY 3 A. What is asked? B. What are the given facts? C. What operation will use?

50. ACTIVITY 3 D. What is the number sentence? E. What is the solution and answer?

51. ACTIVITY 3 2.) Alexis saved ₱194.85 for buying a set of coloring materials during the class opening sale. He was given 15% off for his purchase. What is the sale price of his purchase?

52. ACTIVITY 3 A. What is asked? B. What are the given facts? C. What operation will use?

53. ACTIVITY 3 D. What is the number sentence? E. What is the solution and answer?

54. ASSESSMENT Directions: Answer the following questions using AGONSA. 1) A wristwatch with original price of ₱5 990 is on sale for ₱5 091.50. Find the discount rate.

55. ASSESSMENT A. What is asked? B. What are the given facts? C. What operation will use?

56. ASSESSMENT D. What is the number sentence? E. What is the solution and answer?

57. ASSESSMENT 2) Camel bought 3 boxes of mango bars at ₱37 per box and 5 packs of baked cashew nuts at ₱150 per pack. If she was given 3% discount in her total purchase, how much discount did she save? How much did she pay in all?

58. ASSESSMENT A. What is asked? B. What are the given facts? C. What operation will use?

59. ASSESSMENT D. What is the number sentence? E. What is the solution and answer?

60. MATHEMATICS 6 QUARTER 2 WEEK 4 DAY 4

61. REVIEW Directions: Imagine yourself that you are starting a small business. Make at least 5 items you wish to sell and how much markup price you intend to make in each of your item. Follow the table given below.

62. REVIEW

63. Have you eaten at a fast-food chain? What would you notice on the receipt? What does VAT mean on it?"

64. SOLVING PROBLEMS INVOLVING COMMISSION, SALES TAX, AND SIMPLE INTEREST

65. COMMISSION Commission = Total Sales(TS) x Commission Rate(CR) Example : Mr. Cordero, a sales representative, received a 50% commission on the pastries he sells. What is his commission if he sold pastries with a total sales of ₱1300.00? Commission = Total Sales(TS) x Commission Rate(CR) Commission = 1300 x 50% Commission = 1300 x 0.50 Commission = ₱ 650.00

66. SALES TAX Sales Tax = Total amount of products x Rate of Sales Tax Example : A faculty staff ate in a restaurant. If their orders amounting of ₱500.00 plus a 12%VAT, how much is the total amount they need to pay including the sales tax? Sales Tax = 500 x 12% Sales Tax = 500 x 0.12 Sales Tax = P60 Amount of order= P500 The total amount they need to pay ₱560 add

67. INTEREST Interest = Principal(P) x Rate of Interest (RI)x Time(T) Example: Gabriel opens a time deposit account, where the money earns 1.2% at rate of interest per year. If he deposited ₱20,000 in his account, how much interest will the money earn in 1 year? I= P x R x T I = 20,000 x 1.2% x 1 where 1.2% is equal to I = 20,000 x 0.012 x 1 0.012 in decimal I = 240

68. PRICIPAL Principal =   Example : July borrowed money from his elder brother at 3% rate of interest. If he paid an interest of ₱300.00 after 1 year, how much money did he borrow?

69. PRICIPAL Principal =   Principal =   Principal =   Principal = ₱ 10, 000.00 Answer: July borrowed ₱10,000 from his elder brother. ( Note: Always express time in years)

70. ACTIVITY 4 Directions : Answer the following questions using AGONSA . 1) Cora bought a new laptop computer that costs ₱28 985. Looking at her Official Receipt, she found out that a sales tax of ₱2 318.80 was added to the cost of the laptop she bought. Find the sales tax rate.

71. ACTIVITY 4 A. What is asked? B. What are the given facts? C. What operation will use?

72. ACTIVITY 4 D. What is the number sentence? E. What is the solution and answer?

73. ACTIVITY 4 2) Kent borrowed some amount from his best friend at 4% interest per year. After half a year, he paid ₱45 as interest. How much money did he borrow from his friend?

74. ACTIVITY 4 3) Lea makes money by commission. She gets 15% of the total sales of everything she sells. If Lea sold ₱37 000 worth of items this month, how much is her commission for the month?

75. ACTIVITY 4 4) To buy a pair of shoes, Dolly borrowed ₱3 000 at 3.5% interest for 2 years. How much money will she pay after 2 years?

76. ACTIVITY 4 5) Jommel borrowed ₱1 200 at 6.5% interest for 9 months. How much interest will he pay?

77. ASSESSMENT Directions: Analyze and solve what is asked in the following problems. 1) At an interest rate of 5.5% per annum, how much interest will a savings deposit of ₱17 800 earn after 3 years?

78. ASSESSMENT A. What is asked? B. What are the given facts? P = I = R = T =

79. ASSESSMENT C. What operation will use? D. What is the number sentence? E. What is the solution and answer?

80. ASSESSMENT 2) Jerry sold 3 kaing of mangoes for ₱7 500 and received ₱637.50 as his commission. What was his rate of commission?

81. ASSESSMENT A. What is asked? B. What are the given facts? P = I = R = T =

82. ASSESSMENT C. What operation will use? D. What is the number sentence? E. What is the solution and answer?