DAILY LESSON LOG FOR
IN-PERSON CLASSES
School:
Teacher:
Teaching Dates: AUGUST 28 – SEPTEMBER 01, 2023 (WEEK 1)
MONDAY
I. OBJECTIVES
a. Content Standards
b. Performance
Standards
c. Most Essential
Learning Competencies
(MELCs)
d. Learning Objectives
II. LEARNING CONTENT
(Subject Matter)
III. LEARNING
RESOURCES/REFEREN
CES
a. Teacher’s Guide
Pages
b. Learner’s Material
Pages
c. Textbook Pages
d. LRMDS Materials
(SLMs/LASs)
TUESDAY
WEDNESDAY
Grade and Section: VSubject: Mathematics
Quarter: FIRST QUARTER
THURSDAY
FRIDAY
demonstrates understanding of divisibility, order of operations, factors and multiples, and the four fundamental operations involving fractions
is able to apply divisibility, order of operations, factors and multiples, and the four fundamental operations involving fractions in mathematical
problems and real-life situations.
uses divisibility rules for 2, uses divisibility rules for 2, uses divisibility rules for 3, uses divisibility rules for 3,
5, and 10 to find the
5, and 10 to find the
6, and 9 to find
6, and 9 to find
common factors of
common factors of
common factors (M5NSIb- common factors (M5NSIbnumbers. (M5NSIb-58.1)
numbers. (M5NSIb-58.1)
58.2)
58.2)
a. list down factors of
a. list down factors of
a. identify numbers that
a. identify numbers that
numbers divisible by 2, 5, numbers divisible by 2, 5, are divisible by 3, 6 and 9; are divisible by 3, 6 and 9;
and 10;
and 10;
b. use divisibility rules for
b. use divisibility rules for
b. use divisibility rules for
b. use divisibility rules for
3, 6 and 9 to find common 3, 6 and 9 to find common
2, 5, and 10 to find
2, 5, and 10 to find
factors of numbers; and
factors of numbers; and
common factors of
common factors of
c. appreciate the use of
c. appreciate the use of
numbers; and
numbers; and
divisibility rules to find
divisibility rules to find
c. appreciate the use of
c. appreciate the use of
common factors of
common factors of
divisibility rules to find
divisibility rules to find
numbers.
numbers.
common factors of
common factors of
numbers.
numbers.
Divisibility Rules for 2, 5, Divisibility Rules for 2, 5, Divisibility Rules for 3, 6, Divisibility Rules for 3, 6,
WEEKLY TEST
and 10
and 10
and 9
and 9
Coreal, T. (2020) Quarter
1 – Module 1: Divisibility
Rules for 2, 5, and 10
Coreal, T. (2020) Quarter
1 – Module 1: Divisibility
Rules for 2, 5, and 10
Serrato, E. (2020) Quarter Serrato, E. (2020) Quarter
1 – Module 2: Divisibility
1 – Module 2: Divisibility
Rules for 3, 6, and 9 [Self- Rules for 3, 6, and 9 [Self-
e. Other Learning
Resources
IV. PROCEDURES
A. PRELIMINARY
ACTIVITIES
B. Review the previous
lesson/Drill
[Self-Learning
Module].Moodle.
Department of Education.
Retrieved July 22, 2023)
from https://r72.lms.deped.gov.ph/moodl
e/mod/folder/view.php?id=
13093
PowerPoint Presentation,
laptop, SLMs/Learning
Activity Sheets, pens,
notebook
[Self-Learning
Module].Moodle.
Department of Education.
Retrieved July 22, 2023)
from https://r72.lms.deped.gov.ph/moodl
e/mod/folder/view.php?id=
13093
PowerPoint Presentation,
laptop, SLMs/Learning
Activity Sheets, pens,
notebook
a. Greetings
b. Checking of Attendance
c. Prayer
d. Singing of National Anthem
e. Exercise
f. Word of the day
g. Spelling
h. Reading
Directions:
Answer the following
questions:
1) What is the smallest
number divisible by 2?
Learning Module].Moodle.
Department of Education.
Retrieved July 22, 2023)
from https://r72.lms.deped.gov.ph/moodl
e/mod/folder/view.php?id=
13093
Learning Module].Moodle.
Department of Education.
Retrieved July 22, 2023)
from https://r72.lms.deped.gov.ph/moodl
e/mod/folder/view.php?id=
13093
PowerPoint Presentation,
laptop, SLMs/Learning
Activity Sheets, pens,
notebook
PowerPoint Presentation,
laptop, SLMs/Learning
Activity Sheets, pens,
notebook
Directions: Identify
whether the given number
is divisible by 2, 5 or 10.
Directions:
In finding the common
factors of numbers
divisible by 3, 6, and 9, we
can use the following
divisibility rules: Let us
check.
a) A number is divisible by
3 if the sum of all the digits
is divisible by ___.
b) A number is divisible by
___if the number is
divisible by both 2 and 3.
c) A number is divisible by
9 if the _____ of all the
digits is divisible or a
1) 18
2) Number 55 is divisible
by what number?
2) 125
3) What is the biggest 2digit number divisible by
10?
4) 344
4) All even number ending
3) 30
5) 650
PowerPoint Presentation,
laptop, SLMs/Learning
Activity Sheets, pens,
notebook
in zero divisible by 10
only?
___
C. Establishing a
purpose for the lesson/
Motivation
Your mother gave you 100
pesos and she wants you
to exchange it at the store
for five-peso bills. How
many five-peso bills will
the storekeeper give you?
POEM TIME!
I AM DIVISIBLE
I am a rule for numbers,
simple and true,
Divisible by 2, 5, and 10,
I'll tell you.
For even numbers, I'm
quite the key,
If it ends in 0 or an even
digit, divisible it'll be.
When 5 comes along, it's
easy to see,
Just check the last digit,
it's as simple as can be.
For numbers ending in 0
or 5, I'll give you a clue,
Divisible by 5, that's what
they can do.
D. Presenting
Divisibility rules are
Now for 10, it's a piece of
cake,
A single zero, and you're
on the right track.
Divisible by 10, no
remainder to find,
A multiple of 10, it's one of
a kind.
Divisibility rules are
What numbers are
divisible in each money?
1.
multiple of 9.
d) If the sum of the digits
of a number is 153, by
what number/s is it
divisible with? _______
e) What smallest 3-digit
number is divisible by both
3 and 6? ______
You bought a whole pizza
to give to the 4 children
you saw on the street.
How will you divide it so
that each of them will have
three pieces of pizza
each?
2.
3.
Divisibility rules are
Divisibility rules are
examples/instances of
the new
lesson/Motivation
E. Discussing new
concepts and practicing
new skills No. 1
valuable mathematical
tools that help us
determine whether a given
number can be evenly
divided by another number
without leaving a
remainder.
The divisibility rules for 2,
5, and 10 have practical
applications in various
real-life situations. For
instance, when shopping
and handling money,
understanding the
divisibility rule for 2 helps
in making quick and
accurate change,
especially in transactions
involving even amounts. In
packaging and
manufacturing industries,
products are often
packaged in groups of 5 or
10, taking advantage of
the divisibility rules for
these numbers to
efficiently organize and
distribute items. Time
management can also
benefit from these rules,
as tasks or activities can
be divided into equal parts
using the divisibility
principles, making
scheduling and planning
more systematic.
Moreover, when sharing
valuable mathematical
tools that help us
determine whether a given
number can be evenly
divided by another number
without leaving a
remainder.
The divisibility rules for 2,
5, and 10 have practical
applications in various
real-life situations. For
instance, when shopping
and handling money,
understanding the
divisibility rule for 2 helps
in making quick and
accurate change,
especially in transactions
involving even amounts. In
packaging and
manufacturing industries,
products are often
packaged in groups of 5 or
10, taking advantage of
the divisibility rules for
these numbers to
efficiently organize and
distribute items. Time
management can also
benefit from these rules,
as tasks or activities can
be divided into equal parts
using the divisibility
principles, making
scheduling and planning
more systematic.
Moreover, when sharing
valuable mathematical
tools that help us
determine whether a given
number can be evenly
divided by another number
without leaving a
remainder.
Divisibility rules can help
us determine whether a
number can be divided by
another number without
any remainder. The
divisibility rules for 3, 6,
and 9 are grouped
together because they all
require computing the sum
of the digits of a given
number.
valuable mathematical
tools that help us
determine whether a given
number can be evenly
divided by another number
without leaving a
remainder.
Divisibility rules can help
us determine whether a
number can be divided by
another number without
any remainder. The
divisibility rules for 3, 6,
and 9 are grouped
together because they all
require computing the sum
of the digits of a given
number.
F. Discussing new
concepts and practicing
new skills No. 2
items among a group of
people, knowledge of
divisibility rules ensures
fairness and equal
distribution, avoiding
disputes. Overall, these
divisibility rules play a
practical and crucial role in
our everyday lives, making
various tasks and activities
more manageable and
efficient.
A number is divisible by
another number if there is
no remainder. A
divisibility rule is a
general rule that is used to
determine whether or not
a number is divisible by
another number. The
divisibility rules for 2, 5
and 10 are grouped
together because they all
require checking the ones
digit of the whole number.
Learning how to use these
rules will help you find
common factors of
numbers easily. Common
factors are factors that are
the same for two or more
numbers.
How do we know if a
number is divisible by 2, 5
or 10?
Divisibility Rule for 2
A number is divisible by 2
items among a group of
people, knowledge of
divisibility rules ensures
fairness and equal
distribution, avoiding
disputes. Overall, these
divisibility rules play a
practical and crucial role in
our everyday lives, making
various tasks and activities
more manageable and
efficient.
A number is divisible by
another number if there is
no remainder. A
divisibility rule is a
general rule that is used to
determine whether or not a
number is divisible by
another number. The
divisibility rules for 2, 5
and 10 are grouped
together because they all
require checking the ones
digit of the whole number.
Learning how to use these
rules will help you find
common factors of
numbers easily. Common
factors are factors that are
the same for two or more
numbers.
How do we know if a
number is divisible by 2, 5
or 10?
Divisibility Rule for 2
A number is divisible by 2
How do we know if a
number is divisible by 3, 6
or 9?
Here is how:
1. Divisibility Rule for 3
A number is divisible by 3
if the sum of all its digits is
divisible by 3.
Example 1: 540 is
divisible by 3 because 5 +
4 + 0 = 9, and 9 is divisible
by 3.
To check, 540 divided by 3
is 180.
How do we know if a
number is divisible by 3, 6
or 9?
Here is how:
1. Divisibility Rule for 3
A number is divisible by 3
if the sum of all its digits is
divisible by 3.
Example 1: 540 is
divisible by 3 because 5 +
4 + 0 = 9, and 9 is divisible
by 3.
To check, 540 divided by 3
is 180.
2. Divisibility Rule for 6
A number is divisible by 6
if the number is divisible
by both 2 and 3.
Example 2: 822 is an
even number, hence it is
divisible by 2. Likewise,
822 is divisible by 3
because 8 + 2 + 2 = 12,
and 12 is divisible by 3.
2. Divisibility Rule for 6
A number is divisible by 6
if the number is divisible
by both 2 and 3.
Example 2: 822 is an
even number, hence it is
divisible by 2. Likewise,
822 is divisible by 3
because 8 + 2 + 2 = 12,
and 12 is divisible by 3.
if the ones digit of the
number is 0, 2, 4, 6 or 8.
Example 1:
436 is divisible by 2
because its ones digit is 6.
Divisibility Rule for 5
A number is divisible by 5
if the ones digit of the
number is 0 or 5.
Example 2: 225 is
divisible by 5 because its
ones digit is 5.
Divisibility Rule for 10
A number is divisible by 10
if the ones digit of the
number is 0.
Example 3:
720 is divisible by 10
because the ones digit is
0.
Now, using the divisibility
rules for 2, 5 and 10, let us
find the common factors of
20 and 40.
Factors of 20:
20 ÷ 1 = 20
20 ÷ 2 = 10 (20 is divisible
by 2 because it is even.)
20 ÷ 5 = 4 (20 is divisible
by 5 because it ends in 0.)
Therefore, the factors of
20 are 1, 2, 4, 5, 10, and
20.
Factors of 40:
40 ÷ 1 = 40
40 ÷ 2 = 20 (40 is divisible
by 2 because it is even.)
if the ones digit of the
number is 0, 2, 4, 6 or 8.
Example 1:
436 is divisible by 2
because its ones digit is 6.
Divisibility Rule for 5
A number is divisible by 5
if the ones digit of the
number is 0 or 5.
Example 2: 225 is
divisible by 5 because its
ones digit is 5.
Divisibility Rule for 10
A number is divisible by 10
if the ones digit of the
number is 0.
Example 3:
720 is divisible by 10
because the ones digit is
0.
Now, using the divisibility
rules for 2, 5 and 10, let us
find the common factors of
20 and 40.
Factors of 20:
20 ÷ 1 = 20
20 ÷ 2 = 10 (20 is divisible
by 2 because it is even.)
20 ÷ 5 = 4 (20 is divisible
by 5 because it ends in 0.)
Therefore, the factors of
20 are 1, 2, 4, 5, 10, and
20.
Factors of 40:
40 ÷ 1 = 40
40 ÷ 2 = 20 (40 is divisible
by 2 because it is even.)
Therefore, 822 is divisible
by 6 since it is divisible by
both 2 and 3
Therefore, 822 is divisible
by 6 since it is divisible by
both 2 and 3
3. Divisibility Rule for 9
A number is divisible by 9
if the sum of all its digits is
divisible by 9 or a multiple
of 9. Example 3: 8253 is
divisible by 9 because 8 +
2 + 5 + 3 = 18, and 18 is
divisible or a multiple of 9.
3. Divisibility Rule for 9
A number is divisible by 9
if the sum of all its digits is
divisible by 9 or a multiple
of 9. Example 3: 8253 is
divisible by 9 because 8 +
2 + 5 + 3 = 18, and 18 is
divisible or a multiple of 9.
Now, using the divisibility
rules for 3, 6 and 9, let us
find the common factors of
36 and 54.
Now, using the divisibility
rules for 3, 6 and 9, let us
find the common factors of
36 and 54.
The common Factors of
36 and 54 are 1, 3, 6, and
9.
The common Factors of
36 and 54 are 1, 3, 6, and
9.
G. Developing Mastery
(Leads to Formative
Assessment)
40 ÷ 5 = 8 (40 is divisible
by 5 because it ends in 0.)
40 ÷10 = 4 (40 is divisible
by 10 because it ends in
0.)
Therefore, the factors of
40 are 1, 2, 4, 5, 8, 10, 20,
and 40.
Listing these factors, we
have:
40 ÷ 5 = 8 (40 is divisible
by 5 because it ends in 0.)
40 ÷10 = 4 (40 is divisible
by 10 because it ends in
0.)
Therefore, the factors of
40 are 1, 2, 4, 5, 8, 10, 20,
and 40.
Listing these factors, we
have:
Therefore, the common
factors of 20 and 40 are 1,
2, 4, 5, 10, and 20.
Directions: Identify
mentally whether or not
each larger number is
divisible by the smaller
number. Write “Yes” if the
number is divisible, and
“No” if it is not.
Therefore, the common
factors of 20 and 40 are 1,
2, 4, 5, 10, and 20.
Directions: Fill in the
missing digit.
1) Is 130 divisible by
2. The number 40
divisible by 10?
2) Is 326 divisible by
3. The number 21
divisible by 5?
3) Is 124 divisible by
2. The number 21
divisible by 10?
4) Is 405 divisible by
3. The number 3231
is divisible by 2?
2?
5?
2?
5?
5) Is 567 divisible by
2?
1. The number 5
divisible by 2.
is
is
Directions: Identify
mentally whether or not
each larger number is
divisible by the smaller
Directions: Choose the
letter of the correct
answer. Write your answer
on a separate sheet of
paper.
1) Which of the following
number.Draw
if the
numbers is divisible by 3?
number is divisible, and
A. 124 C. 347
B. 342 D. 671
if it is not.
2) Which of the numbers
below is divisible by both 3
and 6?
1) Is 213 divisible by A. 28 C. 67
3?
B. 48 D. 93
2) Is 519 divisible by 3) What is the common
factor of 12 and 9?
6?
A. 1, 3 C. 1,9
3) Is 137 divisible by B. 1, 6 D. 1, 12
3?
4) Which set is the
common factor of 99 and
4) Is 504 divisible by
135?
6?
A. 3 and 6 C. 6 and 9 B. 3
5) Is 369 divisible by and 9 D. 6 and 12
3?
H. Finding Practical
Application of Concepts
and Skills in Daily Lives
I. Making Generalization
and Abstraction
J. Evaluating Learning
Why is it essential to
understand the divisibility
rule for 2, 5, and 10 when
dealing with money
transactions? Give an
example of a situation
where knowing this rule
can help you make
accurate change quickly.
What are the rules for
determining if a number is
divisible by 2, 5, and 10?
Directions: Use the
divisibility rules for 2, 5
and 10 to list down all the
factors of each pair of
numbers. Then, encircle
the common factors.
1) 15 and 45
2) 50 and 80
3) 54 and 60
4) 26 and 18
5) 32 and 12
Explain how the divisibility
rules for 2, 5, and 10 are
relevant when dividing
items among a group of
people to ensure fairness
and equal distribution.
How can you apply the
divisibility rules for 3, 6,
and 9 in real life? Cite at
least 2 examples.
How can you tell if a
number is divisible by 2, 5,
and 10?
Directions: Using the
divisibility rules for 2, 5,
and 10, fill in the missing
factors. Then, find the
common factors.
What are the rules for
checking divisibility by 3, 6
and 9?
Directions: Answer the
following questions.
1. Which numbers from 1
to 30 are divisible by 3?
List the common factors
you find using the
divisibility rule for 3.
2. Determine the common
factors of 12, 18, and 24
using the divisibility rule
for 6. How are these
numbers related to each
other?
3. Find the common
factors of 27, 36, and 45
by applying the divisibility
rule for 9. How do these
5) 3, 6, and 9 are factors
of______.
A. 33 C. 54
B. 42 D. 64
Why is it crucial to
understand the divisibility
rule for 3, 6, 9 when
dealing with money
transactions?
How can you tell if a
number is divisible by 3, 6,
and 9?
Directions: Identify the
whole numbers between 1
and 100 that are divisible
by 3, 6, and 9. Write your
answers on the lines in the
rows/boxes for 3, 6 and 9.
Based on your answers
above, how many whole
numbers between 1 and
100 are divisible by 3, 6
and 9?
Based on your answers
above, how many whole
numbers between 1 and
K. Additional activities
for application or
remediation
V. REMARKS
VI. REFLECTIONS
VII. FEEDBACK
A. No. of learner who
earned 80%
B .No. of learner who
scored below 80% ( needs
remediation)
C. No. of learners who
have caught up with the
lesson
D. No of learner who
continue to require
remediation
E. Which of my teaching
strategies work well?
factors help you identify
the relationship between
these numbers?
100 are divisible by 3, 6
and 9?
The delivery of instruction
and expectations meet the
purpose and objectives of
the lesson because the
learners
The delivery of instruction
and expectations meet the
purpose and objectives of
the lesson because the
learners
The delivery of instruction
and expectations meet the
purpose and objectives of
the lesson because the
learners
The delivery of instruction
and expectations meet the
purpose and objectives of
the lesson because the
learners
The delivery of instruction
and expectations meet the
purpose and objectives of
the lesson because the
learners
Learners are engaged in
the teaching-learning
process when
incorporating
Learners are engaged in
the teaching-learning
process when
incorporating
Learners are engaged in
the teaching-learning
process when
incorporating
Learners are engaged in
the teaching-learning
process when
incorporating
Learners are engaged in
the teaching-learning
process when
incorporating
Why?
F. What difficulties did I
encounter which my
principal /supervisor can
help me solve?
G. What innovation or
localized materials did I
use/discover which I wish
to share w/other teacher?