Objectives:
*The learner performs addition of integers.
*The learner solves routine and non-routine problems involving addition of integers
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.
REVIEW:
Compare the following integers by writing the symbol > or on the line.
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?
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.
Determine how to combine integers by studying the given examples below:
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)
PAIR-SHARE
Answer the following:
5. (+15) + (-56) + (-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?
Nuggets of Thought
How do we add integers with the same signs?
How do we add integers with different signs?
ASSESSMENT
Add the following integers.
5. (-217) + ( +104)
ASSIGNMENT
Solve the problem.
OBJECTIVE:
The learner performs subtraction of integers.
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.
Add the following integers.
1. 56 + (-12)
2. (-63) +49
3. 42 + (-24)
4. (-91) + 77
5. 12 + (-26)
KING BACK
L
The temperature in Baguio City was 12 ⁰Celsius in the morning. It dropped to 8⁰Celsius in the evening. What is the difference between these temperatures?
PROBLEM OPENER
To get the difference between the two temperatures, we need to subtract 8⁰Celsius from 12⁰Celsius.
What is the equation representing this situation?
Subtracting Integers is adding the opposite of the subtrahend to the minuend.
12⁰ - 8⁰ = N
minuend
subtrahend
When subtracting integers, change the subtraction sign to addition sign. Simply change the sign of the subtrahend and proceed to addition of integers.
12⁰ - 8⁰ = N
12⁰ + (-8⁰) = 4⁰
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
Write the opposite of each integer.
5. +5
Exercise #1
Exercise #2
Subtract the first integer from the second integer.
Nuggets of thought
How do we subtract integers?
assessment
Subtract the first integer from the second integer.
5. 10 938, -11 359
assignment
Subtract the following integers.
1. 12-14=
2. 36-28
3. (-49) – 37=
4. 43 – 72=
5. (-85) – (-37) =
OBJECTIVE:
The learner solves routine and non-routine problems involving subtraction of integers
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.
Give the opposite of each given integer.
KING BACK
L
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
QUESTIONS:
What change in temperature does a worker experience in a grocery when he goes from the vegetable section at 4⁰C to the meat section with a temperature of -18⁰C?
PROBLEM #2
What is asked?
What are the given facts?
What is the solution?
QUESTIONS:
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) =
Solve the problem.
In a condominium in Valenzuela City, the elevator on the 3rd floor goes up to 6 floors then goes down 4 floors. At what floor did the elevator stop?
PAIR-SHARE
SEAT WORK
Solve the problem.
1. One day, the temperature in Manila is 34⁰C while in Baguio it is 19⁰C. 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?
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?
Nuggets of thought
How do we solve problems involving subtraction of integers?
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?
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?
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?
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?
OBJECTIVE:
The learner performs multiplication and division of integers.
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.
Perform multiplication on each pair of numbers.
DRILL
Determine if the following pairs of integers have like signs or unlike signs.
5. (+56) and (+18)
KING BACK
L
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
What integer will represent the decrease in garbage in a day?
QUESTION:
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
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
Find the product.
Find the quotient.
PAIR-SHARE
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?
Nuggets of thought
How do we multiply and divide integers with the same signs?
How do we multiply and divide integers with different signs?
assessment
Perform the indicated operation.
assignment
Solve the problem.
A. Find the product.
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)