2. 1.Concepts on 12- and 24-hour time
2.Conversion of 12- and 24-hour time, and
vice versa
Word problems involving 12- and 24-hour time
GRADE-5
GRADE-6
Adds And Subtracts Simple Fractions And
Mixed Numbers With Or Without
Regrouping
7. Pupil Time each
pupil left
home
Time each
pupil arrived
at school
Length of
travel time
Kelvin 5:30 AM 6:52 AM
Rapha 5:55 AM 7:10 AM
Theon 6:04 AM 6:35 AM
Kim 6:50 AM 7:43 AM
Gloria 7:04 AM 7:20 AM
8. To further process the activity
and be able to integrate values,
the teacher will ask these
questions:
If their 1st
period starts at 7:30 AM,
who was late for school? Answer:
Kim
9. oHow many minutes was she
late? Answer: 13 minutes
oIf Kim were your friend and
classmate, what advice would
you give her to avoid being
tardy?
10. Possible answer: To arrive on time,
you must leave your house earlier
than you used to. Since your
travel time is almost an hour,
leaving by 6:20 AM will probably
do.
12. ●In an analog clock, how many
hours can be seen in one
complete cycle or period?
●Answer: 12 hours
13. ●Since an analog clock has 12
hours in one cycle, how many
times does it complete a full
cycle in a day?
● Answer: twice
14. ●In the Philippines, how do we
distinguish between 10:00 in the
morning and 10:00 in the
evening? What notations are
typically used?
15. Answer: We typically use
notations such as A.M. and P.M.
to distinguish between morning
and evening (afternoon
included).
16. A.M. and P.M. distinguish
between morning and evening in
a 12-hour time system commonly
used in the Philippines. However,
there is also a 24-hour time format
typically used by the military and
other countries.
18. The first cycle is AM, which
means ante meridiem
(before midday) in Latin,
while the second cycle is
PM, which means post
meridiem (after midday).
19. The 24-hour time format tells
the time of the day, from
midnight to midnight, divided
into 24 hours, and does not
need to use AM or PM to
differentiate morning,
afternoon, and evening.
20. SUB-TOPIC 1: DESCRIBE A 12- AND
24-HOUR TIME
i.Explicitation
Let us do this activity.
Is it AM or PM?
21. Activity AM or PM?
Eating breakfast
Taking a bath before going to school
Praying before sleeping at night
Playing toys with siblings/friends after
school
Doing your homework after school
Eating dinner
22. To process the
activity, the teacher
will call volunteers to
share their answers
with the class.
24. Answer/Discussion:
When using AM and PM, the 12-
hour time format is employed.
There are two equal cycles or
periods of 12 hours in a day.
25. The 1st 12-hour period/cycle refers
to AM, which is from 12:00 AM to
11:59 AM, while the 2nd 12-hour
period/cycle refers to PM, which
is from 12:00 PM to 11:59 PM.
28. For instance, if you invite your
classmates to your birthday
party at 8:00, they need to
know if it is AM or PM;
otherwise, they might get
confused.
29. Another was meeting a
friend I had not seen for a
long time at 7:00, but she
came at 7:00 AM when I
meant 7:00 PM.
30. ●What do the abbreviations AM
and PM stand for?
AM = Ante Meridiem (before
midday or before noon)
PM = Post Meridiem (after midday
or afternoon).
31. Answer/Discussion:
Hence, when we say "7:00 AM", we
mean 7:00 (seven o’clock) in the
morning, and when we say "7:00
PM", we refer to 7:00 (seven
o’clock) in the evening.
32. Furthermore, when we say "4:30
AM," we mean 4:30 (four thirty) in
the morning, and when we say
"4:30 PM", we mean 4:30 (four
thirty) in the afternoon.
33. ●How do we properly write AM and
PM?
Answer/Discussion:
According to Britannica, periods
can be added or omitted, and
letters can be used in lowercase
or uppercase.
34. This means we can write AM as
a.m., am, and PM as p.m., pm.
AM and PM can also be written
as A.M. and P.M., respectively.
35. The 24-hour Time
Aside from the 12-hour time,
another format can also be
used. This is the 24-hour time
format.
36. ●What is the 24-hour time format?
Answer/Discussion:
According to Britannica, this
format is known as the
International Standard Time
format (ISO 8601.
37. In a 24-hour format, time starts
at 00:00 and ends at 23:59,
although 24:00 can also
mean 00:00 the next day.
38. ●Are the abbreviations AM and
PM used in this format?
Answer/Discussion:
In this format, the abbreviations
AM and PM are no longer
utilized since a day consists of
only one 24-hour period.
39. With only one period
used, distinguishing
between AM and PM is
unnecessary.
40. ●Where and by whom is the
24-hour clock typically used?
42. Furthermore, this format is used in
computers, public safety, and
transportation. Several countries
in Europe, Latin America, and
Asia typically use it for writing
time, while many European
countries utilize it for speaking
about time.
54. Answer: From 1:00 AM to 12:59
PM, the hours and minutes
remain the same in both 12-hour
and 24-hour formats except for
the omission of AM/PM in the
latter.
55. Example: 9:00 AM in 24 hour
clock is 09:00
12: 59 PM in 24 hour
clock is 12:59
56. ●What have you observed
regarding conversion starting
from the first hour (12:00 AM or
midnight) to 12:59 AM of the
day?
57. Answer: To convert the first hour
of the day from a 12-hour to a
24-hour format, subtract 12
hours and omit AM. Conversely,
to convert from a 24-hour to a
12-hour format, add 12 hours
and affix AM.
58. Example: 12:15 AM to 24 hour
clock is 00:15
00:30 to 12 hour
clock is 12:30 AM
59. ●What have you observed
regarding conversion from 1:00
PM to 11:59 PM?
Answer: From 1:00 PM to 11:59 PM,
add 12 hours to convert to a 24-
hour time format. Then, omit the
PM.
60. Example: 2:00 PM to 24 hour
clock is 14:00
Conversely, from 13:00 to 23:59,
subtract 12 hours to convert to a
12-hour time format. Then, affix the
PM.
64. Praying before
sleeping at night
Playing toys with
siblings/friends
Doing your
homework after
school
Eating dinner
65. Since we have already
identified the specific time we
will do the given activities in a
12-hour format, let us convert
them into a 24-hour time
format.
66. How is each given time
written in a 24-hour
time format?
71. Let us have another set of
examples on conversion of
12-hour and 24-hour time
formats.
72. 12-Hour
Time
24-Hour
Time
How to convert? Case
12:11 AM ----------
● Subtract 12 hours from 12:11, therefore,
12:11 AM will be 00:11 1
---------- 00:21
● Add 12 hours to 00:21, therefore, 00:21 will
be 12:21 AM (affix AM) 1
---------- 11:07
● Retain the time
● Affix AM to the time
Therefore, 11:07 will be 11:07 AM
2
12:15 PM
----------
● Retain the time
● Omit PM to the time
Therefore, 12:15 PM will be 12:15
2
4:09 PM ----------
● Add 12 hours to 4:09, therefore, 4:09 PM
will be 16:09 3
---------- 19:55
● Subtract 12 hours from 19:55, therefore,
19:55 will be 7:55 PM (affix PM) 3
74. SUB-TOPIC 3: SOLVE WORD
PROBLEMS INVOLVING 12- AND 24-
HOUR TIME
1)Explicitation
Let us analyze and solve the given
word problem.
75. Rapha attended school on a
Wednesday and went home
after finishing his last class.
He arrived at his house at 4:50
in the afternoon. Convert the
given time into the 24-hour
format.
76. ●How do we convert the
given time into 24-hour
format?
77. 1)Worked Examples
Let us move on to more examples.
Example 1:
Kenneth needs to catch a train
scheduled for 05:30. What is the
departure time in a 12-hour
format?
78. Example 2:
Theon's job interview is set
for 2:15 PM. What time is
his interview in a 24-hour
time format?
79. Example 3:
Kelvin's flight from Ninoy
Aquino International Airport
(NAIA) to Davao Airport will
depart at 15:25 local time
and arrive at 17:30.
80. However, due to unexpected
delays, the flight is 45 minutes
late. What time will Kelvin depart
from NAIA? What time will Kelvin
reach Davao Airport? Express
Kelvin's departure time and arrival
time in 12-hour and 24-hour
formats.
85. i.Learners’ Takeaways
The teacher will guide the pupils in
completing this table.
Converting 12-
and 24-hour
time, and vice
versa.
Solving word
problems
involving 12-
and 24-hour
86. 1)Reflection on Learning
The learners will complete the
given statements.
You respect other people's time
when you ____________.
Time management is essential
because ______________.
89. Find the
Step 1. Find the Least Common Denominator (LCD).
Step 2. Find the missing numerators. To find the missing
numerators, divide the LCD by the denominator of the
given fraction. Multiply the quotient by the numerator.
Step 3. Add the numerators. Then, write the sum over the
common denominator.
92. Think-Pair-Share
Find a partner and solve the following equation.
Instruction: Add the following fractions. Express your
answer to simplest form or lowest term, if needed.
Write your answers on your answer sheet.
1. 4/10 + 1/5 =
2. 2/7 + 1/2 =
3. 2/9 + 6/9 =
4. 7/10 + 2/10 =
5. 1/2 + 2/5 =
93. Get a 1 Whole Sheet of Paper. Do what you teacher will say.
1.Fold in to half
2. Fold it again.
How many fourths do you have?
Add another fold, how many fourths do you have now?
What is your thought? Share it with your classmates.
94. In adding simple fractions without regrouping:
• Find the Least Common Denominator
(LCD).
• Rename the dissimilar fractions to their
equivalent fractions using the LCD.
• Add the numerators. Then, write the sum
over the common denominator.
• Express the answer in simplest form or
lowest term, if needed.
95. Instruction: Read and solve the following
problems. Show your solutions and express
your final answer to simplest form or lowest
term. Write it on your answer sheet.
1.) Michelle spends her free time in reading
short stories. If she spent reading 2/6 hour on
Monday and 3/6 hour on Tuesday, how
many hours did she spent reading in two
days?
96. Word Problem:
The grade 6 pupils of Makabayan Elementary
School went to Laguna for a field trip. Along
the way, they dropped by a fruit stand to buy
pasalubong. Raven bought 4/5 kilograms of
lanzones, Andy bought 2/5 of rambutan, while
Rain bought 3/5 kilograms of chico. How
many kilograms of fruits did they buy in all?
97. On the Board:
Instruction: Add the following and change your answer to the
lowest term if needed. Write your answer on your answer sheet.
Instruction: Subtract the following fractions. Express your answer to simplest
form or lowest term, if needed. Write your answers on your answer sheet.
Editor's Notes
#4:In Grade 4, you learned about ELAPSED TIME, or the duration between two given times/moments, usually starting and ending. Do you still remember how to calculate it?
#20:As a Grade 5 pupil, when do you usually do the following activities?
#75:To process the word problem, the teacher will ask the following questions:
Who attended school on a Wednesday? Answer: Rapha
What time did Rapha arrive at his house? Answer: 4:50 PM
What is asked in the word problem?
Answer: Convert 4:50 PM into 24-hour time format
#76:Answer: To convert 4:50 PM into a 24-hour format, we add 12 hours to 4:50 and omit the abbreviation PM. Therefore, 4:50 PM will become 16:50.
