MATH 6 Q2 WEEK 8 - MAM HELEN CANONOpptx

MATHEMATICS 6

1. Objectives: *The learner performs addition of integers.   *The learner solves r outine and non-routine p roblems i nvolving a ddition of integers

2. WHY WE COOK THE FOOD WE EAT   We cook our food for three reasons-to make food look more appetizing, to soften hard and tough foods and to kill any microbe that may happen to be in the food. There are many ways of preparing food. Food can be fried, boiled, broiled, roasted, baked, steamed, stewed or sauteed. They can be well-cooked or half-cooked. It is easier to digest food that is well-cooked. But there are foods that are easier to digest when half-cooked than when well-cooked. Meat and liver for example, are easier to digest when half-cooked. But certainly, they taste better when well-cooked. Many vegetables are also easier to digest when well-cooked, but some are eaten raw. Lettuce is an example of a vegetable which is eaten raw.

3.   REVIEW: Compare the following integers by writing the symbol > or < on the line. +13 _____ +8 -6 _____ -2 +7 _____ -15 -1 _____ +9 +4 _____ - 4

4. PROBLEM OPENER   Mrs. Reyes bought fruits that cost P 700.00 from a wholesaler and sold them in her fruits stand. On Monday, her sales are P800.00 and on Tuesday, P500.00. But on Wednesday, she loses P400.00 because some of the fruits are already rotten. Considering the sales of fruits for the three days, did Mrs. Reyes gain or lose profit?

5. Considering the sales of Mrs. Reyes on three days, represent the gain and loss using integers. To determine the total sales means to combine the gains and loss. How are we going to combine the gain and loss? What is the total sale of fruits of Mrs. Reyes? How can we determine if Mrs. Reyes gained or lost money from selling her fruits?

6. Determine how to combine integers by studying the given examples below: ( +4 ) + ( +3)= ( +7) (-4) + ( -3)= ( -7)

7. To add integers having the same sign, add the integers then affix the common sign.   To add integers having different sign, subtract then affix the sign of the bigger number.   Examples:   1. 5 + 8 = 13 2. (-12) + (-15) = (-27) 3. 56 + (-12) = 44 4. (-63) + 49 = (-14) 5. (-47) + (-35) = (-82)

8. PAIR-SHARE Answer the following: 1. ( -21) + (+5) (+47) + (+16) (-72) + (- 38) (-10) + (+87) 5. (+15) + (-56) + (-9)

9. SEAT WORK Use the 4-Step Plan in solving the problem. Mt. Everest, the highest elevation in Asia, is 29 029 feet above sea level. The dead sea, the lowest elevation, is 1 412 feet below sea level. What is the sum of these two elevations?

10. Nuggets of Thought How do we add integers with the same signs? How do we add integers with different signs?

11. ASSESSMENT Add the following integers. (-25) + (+17) (+73) + (-29) (-89) + ( -103) (+ 194) + (+57) 5. (-217) + ( +104)

12. ASSIGNMENT Solve the problem. Kris gets on the elevator on the eleventh floor. The elevator goes down two floors and stops. It then continues to go down four more floors where Kris got off. In what floor did she get off the elevator?

13. OBJECTIVE: The learner performs subtraction of integers.

14. WHY WE COOK THE FOOD WE EAT   We cook our food for three reasons-to make food look more appetizing, to soften hard and tough foods and to kill any microbe that may happen to be in the food. There are many ways of preparing food. Food can be fried, boiled, broiled, roasted, baked, steamed, stewed or sauteed. They can be well-cooked or half-cooked. It is easier to digest food that is well-cooked. But there are foods that are easier to digest when half-cooked than when well-cooked. Meat and liver for example, are easier to digest when half-cooked. But certainly, they taste better when well-cooked. Many vegetables are also easier to digest when well-cooked, but some are eaten raw. Lettuce is an example of a vegetable which is eaten raw.

15.   Add the following integers. 1. 56 + (-12) 2. (-63) +49 3. 42 + (-24) 4. (-91) + 77 5. 12 + (-26) KING BACK L

16. The temperature in Baguio City was 12 ⁰ Celsius in the morning. It dropped to 8 ⁰ Celsius in the evening. What is the difference between these temperatures? PROBLEM OPENER

17. To get the difference between the two temperatures, we need to subtract 8 ⁰ Celsius from 12 ⁰ Celsius. What is the equation representing this situation?

18. Subtracting Integers is adding the opposite of the subtrahend to the minuend. 12 ⁰ - 8 ⁰ = N minuend subtrahend

19. When subtracting integers, change the subtraction sign to addition sign. Simply change the sign of the subtrahend and proceed to addition of integers. 12 ⁰ - 8 ⁰ = N 12 ⁰ + (- 8 ⁰) = 4 ⁰

20. Examples: 1. 5-3 = 5 + (-3) =2 2. (-6) – (5) = (-6) + (-5) = -11 3. 2- (-7) = 2 + 7 = 9 4. (-12) – (-8) = (-12) + 8= -4

21. Write the opposite of each integer. [phone]. +5 Exercise #1

22. Exercise #2 Subtract the first integer from the second integer. -5, +8 76 134 , 52 129 – 13, -9 101, 93 -217, + 710

23. Nuggets of thought How do we subtract integers?

24. assessment Subtract the first integer from the second integer. 345, -762 -3 985, -4 209 -793, + 512 -291, 0 5. 10 938, -11 359

25. assignment Subtract the following integers. 1. 12-14= 2. 36-28 3. (-49) – 37= 4. 43 – 72= 5. (-85) – (-37) =

26. OBJECTIVE: The learner s olves routine and non-routine problems involving subtraction of integers

27. WHY WE COOK THE FOOD WE EAT   We cook our food for three reasons-to make food look more appetizing, to soften hard and tough foods and to kill any microbe that may happen to be in the food. There are many ways of preparing food. Food can be fried, boiled, broiled, roasted, baked, steamed, stewed or sauteed. They can be well-cooked or half-cooked. It is easier to digest food that is well-cooked. But there are foods that are easier to digest when half-cooked than when well-cooked. Meat and liver for example, are easier to digest when half-cooked. But certainly, they taste better when well-cooked. Many vegetables are also easier to digest when well-cooked, but some are eaten raw. Lettuce is an example of a vegetable which is eaten raw.

28.   Give the opposite of each given integer. ) +15 ) -9 ) -34 ) +28 ) -95 KING BACK L

29. John and Carl participated in a race. John ran a distance of 6 km. Carl ran a distance of 5 km. What was the difference in the distance they ran in the race? PROBLEM OPENER

30. Who participated in a race? How many kilometers did John run? How many kilometers did Carl run? Write the expression to get the difference between the distance both participants ran. QUESTIONS:

31. What change in temperature does a worker experience in a grocery when he goes from the vegetable section at 4 ⁰ C to the meat section with a temperature of -18 ⁰ C? PROBLEM #2

32. What is asked? What are the given facts? What is the solution? QUESTIONS:

33. Subtracting Integers is adding the opposite of the subtrahend to the minuend. Examples: 1. (-23) – (-19)= 2. 63 – (-47)= 3. 51- (-72)= 4. (-60) – 46= 5. (-52) – (-88) =

34. Solve the problem. In a condominium in Valenzuela City, the elevator on the 3 rd floor goes up to 6 floors then goes down 4 floors. At what floor did the elevator stop? PAIR-SHARE

35. SEAT WORK Solve the problem. 1. One day, the temperature in Manila is 34 ⁰C while in Baguio it is 19 ⁰C. What is the difference between the two temperatures? 2. A shark was seen at 2546 feet below sea level. It ascends 365 feet. What is its new position?

36. SEAT WORK 3. Nicole has P390, she wants to buy a Rubik's cube which cost P550. How much more money does she need to buy the Rubik's cube?

37. Nuggets of thought How do we solve problems involving subtraction of integers?

38. assessment Solve each problem. 1. RJ was able to save P895.00 from his weekly allowance. If he wants to buy a second-hand mobile phone for P1050.00, how much more money does he still need?

39. 2. Thea invested P15,000.00. in buying and selling items. After month. She was able to sell the items for a total amount of P18, 350.00. How much did she gain?

40. 3. During summer, Jake weighed 65 kg. When he came back to school, he realized that he lost 3 kg. He lost another 2 kg in December. What was his weight in December?

41. assignment Solve the problem. 1. A commercial aircraft is flying 32500 feet above sea level while a submarine is 29360 feet below sea level. How many feet is their distance from one another?

42. OBJECTIVE: The learner p erforms multiplication and division of integers.

43. WHY WE COOK THE FOOD WE EAT   We cook our food for three reasons-to make food look more appetizing, to soften hard and tough foods and to kill any microbe that may happen to be in the food. There are many ways of preparing food. Food can be fried, boiled, broiled, roasted, baked, steamed, stewed or sauteed. They can be well-cooked or half-cooked. It is easier to digest food that is well-cooked. But there are foods that are easier to digest when half-cooked than when well-cooked. Meat and liver for example, are easier to digest when half-cooked. But certainly, they taste better when well-cooked. Many vegetables are also easier to digest when well-cooked, but some are eaten raw. Lettuce is an example of a vegetable which is eaten raw.

44. Perform multiplication on each pair of numbers. 12 and 4 7 and 3 15 and 9 DRILL

45. Determine if the following pairs of integers have like signs or unlike signs. (+7) and (-12) (-4) and ( -9) (-5) and (-30) (+2) and (-11) 5. (+56) and (+18) KING BACK L

46. After a community campaign on reducing waste, the amount of garbage in Rita’s household decreased by 2 kg per day. By how much will their garbage decrease after 6 days? What is the average reduced waste by each person in Rita’s household if there are four of them in the family? PROBLEM OPENER

47. What integer will represent the decrease in garbage in a day? QUESTION:

48. The product of two integers with the same signs is positive while the product of two integers with different signs is negative. Examples: 1. 7 x 5 =35 2. -11 x (-6)= 66 3. 9 x (-7) = -63 4. 7 x (-21) = -147 5. 25 x 25 = 625

49. The quotient of two integers with the same signs is positive and the quotient of two integers with different signs is negative. Examples: 1. 6 ÷ 2 = 3 2. (-15) ÷ (-3) = 5 3. 45 ÷ (-9) = -5 4. (-100) ÷ 25 = -4 5. 24 ÷ (-6) = -4

50. Find the product. (-8) x (-2) (+3) x (-4) (-5) x (+9) Find the quotient. (-25) ÷ (+5) (+21) ÷ (-3) ( -18) ÷ (+ 6) PAIR-SHARE

51. SEAT WORK Use the 4-step plan to solve the problem. Mrs. Tan supports a charity for the children by deducting P350.00 every month from her bank account. What is her total deduction in a year? How much money will the charity receive in 5 years?

52. Nuggets of thought How do we multiply and divide integers with the same signs?   How do we multiply and divide integers with different signs?

53. assessment Perform the indicated operation. (-12) x (+15) 6. (+ 144) ÷ (- 8) (-4) x (-13) 7. (- 72) ÷ (+ 18) (+9) x (+ 13) 8. (-350) ÷ (-7) (-14) x (+2) 9. (+ 120) ÷ (+ 5) (+24) x (-3) 10. (-81) ÷ (+3)

54. assignment Solve the problem. A. Find the product. 6 x 7 (-230 x 0 x 43 17 x (-13) 9 x (-8) x ( -3) 5. 17 x (- 18) x 0 x (-19) B. Find the quotient. 1. (-54) ÷ (-6) 2. 64 ÷ (-8) 3. (-96) ÷ 8 4. 85 ÷ (-5) 5. (-72) ÷ (-3)