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1 of 12
Solves real-life
problems involving
GCF and LCM of 2-3
given numbers
M5NS-Ie-70.2
1. Drill/ Review
Directions: Give the GCF of these pairs
of numbers.
a. 16 and 24
b. 20 and 30
c. 21 and 35
Directions: Give the LCM of these pair
of numbers.
a. 12 and 5
b. 7 and 9
Class, what do I have here in this
jar?
Right. These are marbles. Elsa, a
pupil likes to collect marbles.
Her collection was so many that
she wants to group them.
Problem
Elsa has 27 violet marbles, 54 blue
marbles and 72 white marbles. She
wants to divide the marbles into groups
so that each group has the same
number of each color. What is the
greatest number of groups that Elsa
can make?
2. Performing Activities
Answer the following questions:
Questions
a. What are given?
b. What is being asked?
c. What operation will you use?
d. How will you solve this problem?
3. Processing Activities
• What are given in the problem?
(27 violet marbles, 54 blue marbles and 72 white
marbles)
• What is being asked?
(The total greatest number of groups that Elsa
can make)
• What operation/s do we need to solve our problem?
(Division)
• What is the answer to our problem?
(9 groups of marbles)
Therefore, Elsa can make 9 groups of marbles for all
her marble collection.
Mr. Cruz paints their house every
3 years while Mr. Perez paints
their house every 4 years. If they
painted their house at the same
time this year, when will they
paint their house at the same time
again?
DEVELOPING MASTERY:
Miss Reyes baked 150 chocolate chip cookies
and 132 peanut butter cookies. She divided
the chocolate chip cookies into piles and so
with the peanut butter cookies. Each pile had
only one type of cookie, had the same number
of cookies and the greatest possible number
of cookies.
a. How many cookies were there in each pile?
b. How many piles of chocolate chip cookies
were there?
c. How many piles of peanut butter cookies
were there?
Answer the following problem.
Juan has 96 m of copper wire and 136 m of
aluminum wire. What is the maximum length he
can cut these wire so that all the pieces are of
the same length?
APPLICATION:
GENERALIZATION
•How will you solve
word problem
involving LCM?
Solve these problems.
a. Alicia waters her orchids every 4 days
and her violets every 7 days. Not counting
the first day, when is the next time will she
water her plants at the same day again?
b. A group of 45 dancers and 30 clowns in a
parade. You want to arrange the two groups
in rows with the same number of people in
each row, but without mixing the groups.
What is the greatest number of people you
can have in each row?
EVALUATION
ASSIGNMENT
Directions: Solve the following problems.
a. Ken, Kenneth and Kenzrae are jogging
around a track. Ken takes 4 minutes to jog
once around the track. Kenneth takes 5
minutes and Kenzrae 6 minutes. If they start
together at 6:00 a.m., at what time will they
be together again at the starting point.
b. Sally has two pieces of string. One is 20 m
long and the other is 10 m long. She cuts the
strings in the same length. How many were
the strings she made?

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MATH5 Q1 W5 D2.pptx

  • 1. Solves real-life problems involving GCF and LCM of 2-3 given numbers M5NS-Ie-70.2
  • 2. 1. Drill/ Review Directions: Give the GCF of these pairs of numbers. a. 16 and 24 b. 20 and 30 c. 21 and 35 Directions: Give the LCM of these pair of numbers. a. 12 and 5 b. 7 and 9
  • 3. Class, what do I have here in this jar? Right. These are marbles. Elsa, a pupil likes to collect marbles. Her collection was so many that she wants to group them.
  • 4. Problem Elsa has 27 violet marbles, 54 blue marbles and 72 white marbles. She wants to divide the marbles into groups so that each group has the same number of each color. What is the greatest number of groups that Elsa can make?
  • 5. 2. Performing Activities Answer the following questions: Questions a. What are given? b. What is being asked? c. What operation will you use? d. How will you solve this problem?
  • 6. 3. Processing Activities • What are given in the problem? (27 violet marbles, 54 blue marbles and 72 white marbles) • What is being asked? (The total greatest number of groups that Elsa can make) • What operation/s do we need to solve our problem? (Division) • What is the answer to our problem? (9 groups of marbles) Therefore, Elsa can make 9 groups of marbles for all her marble collection.
  • 7. Mr. Cruz paints their house every 3 years while Mr. Perez paints their house every 4 years. If they painted their house at the same time this year, when will they paint their house at the same time again?
  • 8. DEVELOPING MASTERY: Miss Reyes baked 150 chocolate chip cookies and 132 peanut butter cookies. She divided the chocolate chip cookies into piles and so with the peanut butter cookies. Each pile had only one type of cookie, had the same number of cookies and the greatest possible number of cookies. a. How many cookies were there in each pile? b. How many piles of chocolate chip cookies were there? c. How many piles of peanut butter cookies were there?
  • 9. Answer the following problem. Juan has 96 m of copper wire and 136 m of aluminum wire. What is the maximum length he can cut these wire so that all the pieces are of the same length? APPLICATION:
  • 10. GENERALIZATION •How will you solve word problem involving LCM?
  • 11. Solve these problems. a. Alicia waters her orchids every 4 days and her violets every 7 days. Not counting the first day, when is the next time will she water her plants at the same day again? b. A group of 45 dancers and 30 clowns in a parade. You want to arrange the two groups in rows with the same number of people in each row, but without mixing the groups. What is the greatest number of people you can have in each row? EVALUATION
  • 12. ASSIGNMENT Directions: Solve the following problems. a. Ken, Kenneth and Kenzrae are jogging around a track. Ken takes 4 minutes to jog once around the track. Kenneth takes 5 minutes and Kenzrae 6 minutes. If they start together at 6:00 a.m., at what time will they be together again at the starting point. b. Sally has two pieces of string. One is 20 m long and the other is 10 m long. She cuts the strings in the same length. How many were the strings she made?