Quarter 2 - MELC 6: Mathematics Activity Sheet
Quarter 2 - MELC 6: Mathematics Activity Sheet
Quarter 2 - MELC 6: Mathematics Activity Sheet
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Date: _______________________
In the previous lesson, you have learned about finding Greatest Common
Factors (GCF) and Least Common Multiples (LCM) of two numbers using different
methods. Those are Listing, Prime Factorization, and Continuous Division Methods.
Today, you are going to apply your skills in finding GCF and LCM of 2 given
numbers in solving real-life word problems. But, before you can solve a word problem,
you need to know first when to use the GCF and LCM. The following Key
words/Phrases will guide on what you will use to solve the problem.
Sample Problem #1
Cherry baked 48 pieces of butter and 60 pieces of chocolate cookies. If she will
put the same number of butter and chocolate cookies in each box, what is the greatest
number of each kind of cookies each box will contain?
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You can use the 4-step plan in solving for the answer.
A. Understand:
What does the problem ask for? - The greatest number of cookies
that a box will contain
What facts are given? - 48 butter cookies, 60 chocolate
cookies
What is/are the key word/s - greatest
B. Plan:
How will you solve the problem? - By finding the Greatest
Common Factor or GCF of 48 and 60
C. Solve:
How is the problem done? - By listing the factors
48 = 1, 2, 3, 4, 6, 8, 12, 16, 24, 48
60 = 1, 2, 3, 4, 5, 6,10,12,15,20, 30,60
GCF = 12
- By Prime Factorization
48= 2 x 2 x 2 x 2 x 3
60= 2 x 2 x 3 x 5
GCF = 2 x 2 x 3 = 12
- By Continuous Division
2 48 60
2 24 30
3 12 15
4 5
GCF = 2 x 2 x 3 = 12
Sample Problem #2
Joan and John love to buy Banana Cue and Doughnut in the school canteen. But
these foods are not sold at the same time every day. Banana Cues are sold every 2
days while Doughnuts are sold every 3 days. If both are sold today, when will they be
sold together again?
A. Understand:
What does the problem ask for? - The day where banana cues and
doughnuts will be sold together again.
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What facts are given? - Banana cues are sold every 2 days.
Doughnuts are sold every 3 days.
What is/are the key word/s? - again, every 2 days, every 3 days
B. Plan:
How will you solve the problem? - By finding the Least Common
Multiple or LCM of 2 and 3
C. Solve:
How is the problem done? - By listing the factors
2 = 2, 4 , 6, 8, 10,….
3 = 3, 6, 9, 12, 15, …
LCM = 6
- By Prime Factorization
2 =1x2
3 =1x3
LCM = 2 x 3 = 6
- By Continuous Division
1 2 3
2 3
LCM = 2 x 3 = 6
Answer: Banana cues and doughnuts will be sold together again on the 6th day.
1. Directions: Apply any of the different methods on how to solve word problems
involving GCF and LCM of two given numbers.
2. Exercises / Activities
Activity 1
Tell whether the following word problems can be solved using GCF or LCM
and solve them. Write your answer on a separate piece of paper.
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b. Mark goes hiking every 8 days and running every 6 days. He did both kinds
of exercises today. How many days from now will he do both hiking and
running again?
Activity 2
Directions: Read each problem and answer the questions that follow. Write your
answer on a separate piece of paper.
1. Two alarm clocks rings together at 2 AM. The first clock rings every 20
minutes while the second rings every 30 minutes? What time will the two alarm
clocks ring at the same time for the fourth time?
2. Mrs. Cruz has 36 cups and 54 glasses. If she will put them in several trays
with the same number of cups and glasses, what is the biggest number of
each kind in every tray?
3. Mr. Cruz has 84 biscuits and 56 packs of juice. He wants to share them
equally with all of his students. What is the highest possible number of
students does Mr. Cruz have in his class?
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D. How will you solve the problem? ____________________________
3. Guide Questions
a. How do you know that you will use GCF or LCM in solving the word
problems?
b. What are the different 4-step plan in solving the word problems involving
GCF and LCM?
V. REFLECTION