This is the Mathematics Grade 4 Quarter 3 Module 7 self-learning module, Elapsed Time, from the DepEd Alternative Delivery Mode series (First Edition, 2020, Department of Education Region V). It is for Grade 4 learners studying at home or in class, and for the parents and teachers who guide them. After the module, learners can find how much time has passed between a start time and an end time, estimate that time, and solve real-life problems about it.
On this page 9 sections
What learners will learn
After going through this module, learners are expected to:
- find the elapsed time in minutes and seconds;
- estimate the duration of time in minutes; and
- solve problems involving elapsed time.
The module explains that elapsed time is how long an activity lasted, such as reading, cooking, browsing the internet, or cleaning. It also warns that finding elapsed time is not the same as plain subtraction, because hours, minutes, and seconds are different units.
Key facts to remember
The module reviews these conversions first:
| Unit | Equals |
|---|---|
| 1 hour | 60 minutes |
| 1 minute | 60 seconds |
Finding the exact elapsed time
The main example: Steve and his sister start a project from recycled plastic bottles at 5:32 p.m. and finish at 6:25 p.m. How long did they work? The module shows two methods.
Method 1: Number line
Mark the times on a number line counting 5 minutes per unit (5:30, 5:35, 5:40 and so on up to 6:25). Count from the start time, 5:32, to the end time, 6:25. The time elapsed is 53 minutes.
Method 2: Subtraction
The number sentence is 6:25 – 5:32 = N.
- Try to subtract the minutes first (25 – 32). This cannot be done because 25 is smaller than 32.
- Regroup by borrowing 1 hour from 6, leaving 5.
- Rename 1 hour as 60 minutes and add it to the minutes: 60 + 25 = 85.
- Subtract the minutes (85 – 32 = 53), then the hours (5 – 5 = 0).
The answer is 0:53, or 53 minutes.
The module gives more worked examples:
| Type | Example | Elapsed time |
|---|---|---|
| With regrouping | 2:13 – 1:55 (rename as 1:73 – 1:55) | 0:18 |
| Without regrouping | 4:48 – 4:15 | 0:33 |
| With seconds (hour:minute:second) | 0:35:49 – 0:21:37 | 0:14:12 |
Estimating elapsed time
To answer “about how long” a task took, round each time to the nearest tens of minutes, then subtract.
- In Steve’s problem, 6:25 rounds to 6:30 and 5:32 rounds to 5:30. So 6:30 – 5:30 = 1:00, or about one hour.
- With renaming: 10:24 rounds to 10:20 and 9:37 rounds to 9:40. Rename 10:20 as 9:80, then subtract: about 40 minutes.
- Without renaming: 2:38 rounds to 2:40 and 2:15 rounds to 2:20, so the estimate is about 20 minutes.
The module asks learners to compare the actual answer (53 minutes) with the estimate (1 hour) and decide whether the estimate is reasonable.
Solving word problems
The module uses the 4-Step Plan in Problem Solving: Understand, Plan, Solve, Check and Look Back. It turns this into six guide questions:
- What is asked in the problem?
- What are given?
- What operation will you use? (For elapsed time, subtraction.)
- What is the number sentence?
- How is the solution done?
- What is the answer?
Practice problems use everyday situations, such as washing clothes, eating lunch, getting ready for school, and a flight from Manila to Legazpi.
Parts of the module
- What I Know: a 10-item pretest on reading clocks, finding and estimating elapsed time, and word problems.
- What’s In: a review of hour, minute, and second conversions and of times before and after a given time.
- What’s New and What is It: the project problem and the two methods.
- What’s More: Activities A to D, covering number lines, a table of start and end times, estimation by rounding, and a guided word problem.
- What I Have Learned: a summary of the steps.
- What I Can Do: a table of five groups’ activity times in Teacher Ruby’s class, where learners find the actual and estimated elapsed times and compare them.
- Assessment: 10 items on exact time, estimates, and word problems.
- Additional Activities: five word problems, where learners also time themselves while answering.
- Answer Key.
How to use this module
- Learners: Start with the pretest. The module says a score of 8 to 10 means the lesson will be easy for you, and 7 or below means you should study the discussion and examples carefully. Write your answers on a separate sheet, not on the module. Check your work with the answer key honestly. If you get some items wrong, go back to the lesson and choose the method that is easier for you.
- Parents: An improvised clock or the wall clock at home helps with the clock items. For the Additional Activities, help your child record the start and finish times, then find their own elapsed time.
- Teachers: The module draws on the Mathematics 4 Learner’s Material and Teacher’s Guide (2015). The What I Can Do task works well as a group activity and shows when to use the actual rather than the estimated elapsed time.
Frequently asked questions
What grade and quarter is this elapsed time module for?
It is Mathematics Grade 4, Quarter 3, Module 7: Elapsed Time.
What is elapsed time?
Elapsed time is the length of time an event or activity lasted, from its start time to its end time. In this module you find it by counting on a number line or by subtracting the start time from the end time.
How do you subtract times when the minutes are smaller?
Borrow 1 hour from the hours and rename it as 60 minutes, then add it to the minutes. For example, 6:25 becomes 5:85, so 6:25 – 5:32 = 0:53, or 53 minutes.
How do you estimate elapsed time?
Round both times to the nearest tens of minutes, then subtract. For example, 6:25 rounds to 6:30 and 5:32 rounds to 5:30, so the estimate is about 1 hour.
Does the module have an answer key?
Yes. It has answers for the pretest, the review, the activities, the assessment, and the additional activities.
Full text of the module
The text below is a transcription of the PDF above, as printed.
Mathematics
Quarter 3 – Module 7: Elapsed Time
CO_Q3_Mathematics 4_Module 7
[illustration: cover art of students reading and studying outdoors and at home, a teacher at a desk, and a globe]
Mathematics – Grade 4 Alternative Delivery Mode Quarter 3 – Module 7: Elapsed Time First Edition, 2020
Republic Act 8293, section 176 states that: No copyright shall subsist in any work of the Government of the Philippines. However, prior approval of the government agency or office wherein the work is created shall be necessary for exploitation of such work for profit. Such agency or office may, among other things, impose as a condition the payment of royalties.
Borrowed materials (i.e., songs, stories, poems, pictures, photos, brand names, trademarks, etc.) included in this module are owned by their respective copyright holders. Every effort has been exerted to locate and seek permission to use these materials from their respective copyright owners. The publisher and authors do not represent nor claim ownership over them.
Published by the Department of Education Secretary: Leonor Magtolis Briones Undersecretary: Diosdado M. San Antonio
Development Team of the Module
| Role | Name |
|---|---|
| Writer: | Ireneo D. Dechavez |
| Editor: | Elena D. Hubilla |
| Reviewer: | Loyd H. Botor |
| Illustrator: | Ireneo D. Dechavez |
| Layout Artist: | Cherry Lou O. Calison |
| Management Team: | Gilbert T. Sadsad, Francisco B. Bulalacao Jr., Grace U. Rabelas Ma Leilani R. Lorico, Monserat D. Guemo, Florena M. Deuna |
Printed in the Philippines by ________________________
Department of Education – Region V
Office Address : Regional Center Site, Rawis, Legazpi City, 4500 Telefax : 0917-178-1288 E-mail Address : region5@deped.gov.ph
4
Mathematics
Quarter 3 – Module 7: Elapsed Time
Introductory Message
This Self-Learning Module (SLM) is prepared so that you, our dear learners, can continue your studies and learn while at home. Activities, questions, directions, exercises, and discussions are carefully stated for you to understand each lesson.
Each SLM is composed of different parts. Each part shall guide you step-by-step as you discover and understand the lesson prepared for you.
Pre-tests are provided to measure your prior knowledge on lessons in each SLM. This will tell you if you need to proceed on completing this module or if you need to ask your facilitator or your teacher’s assistance for better understanding of the lesson. At the end of each module, you need to answer the post-test to self-check your learning. Answer keys are provided for each activity and test. We trust that you will be honest in using these.
In addition to the material in the main text, Notes to the Teacher are also provided to our facilitators and parents for strategies and reminders on how they can best help you on your home-based learning.
Please use this module with care. Do not put unnecessary marks on any part of this SLM. Use a separate sheet of paper in answering the exercises and tests. And read the instructions carefully before performing each task.
If you have any questions in using this SLM or any difficulty in answering the tasks in this module, do not hesitate to consult your teacher or facilitator.
Thank you.
What I Need to Know
Good day to you! Do you know how to read time in minutes or seconds? Reading time is necessary for you to be able to find the length of time that an event occurred. This is called elapsed time. Elapsed time identifies how long you had been doing an activity like reading, cooking, browsing the internet, cleaning, etc. You will also learn to estimate elapsed time in minutes and seconds which is an essential skill in telling time. Real-life problems are also presented for you to know how important elapsed time is.
Finding elapsed time is different from just adding or subtracting numbers because in here, hours, minutes and seconds are all different units. So, GOODLUCK! Enjoy this module and remember that “Time is gold!”
After going through this module, you are expected to:
- find the elapsed time in minutes and seconds;
- estimate the duration of time in minutes; and
- solve problems involving elapsed time.
What I Know
Read the following items carefully and provide what is asked. Write your answers on your answer sheet.
A. The following items show the start and end times for particular events. Determine the elapsed time in each item. (You can use an improvised clock or the wall clock in your home.)
| Item | Start Time | End Time | Elapsed Time |
|---|---|---|---|
| 1. | [illustration: clock face showing the start time] | [illustration: clock face showing the end time] | a. 25 minutes b. 15 minutes c. 30 minutes |
| 2. | [illustration: clock face showing the start time] | [illustration: clock face showing the end time] | a. 6 minutes b. 30 minutes c. 10 minutes |
B. Find the elapsed time.
Time ended: 10 : 35
Time started: 10 : 20Time ended: 9 : 14
Time started: 8 : 40
C. Determine the time difference. Round off to the nearest tens of minutes and then estimate the elapsed time.
8 : 47
5 : 3210 : 54
9 : 436 : 09
4 : 0342 : 46
39 : 49
[transcriber’s note: each item in B and C has an empty answer box or answer line beneath or beside it; the boxes are blank and are not transcribed]
D. Read and solve each problem.
Beatrize started answering one of her modules in Mathematics 4 at 8:30 in the morning and finished it at 9:25 a.m. How long did she spend answering her module?
Mother went to a grocery store to buy some necessities. She entered the store at 7:45 a.m. Because there were many customers in the store, she went out at 9:36 a.m. How long did it take her in the grocery store?
To check, please go to page 15 and check the Answer Key. If you got a score of 8 – 10, VERY GOOD! The lesson will be easy for you. If you got a score of 7 or below, study carefully the discussion and examples in this module.
Lesson 1 Elapsed Time
What’s In
Activity A
Use the table of equivalence below to answer the following. Write your answers on your answer sheet.
| Table of Equivalence |
|---|
| 1 hour = 60 minutes |
| 1 minute = 60 seconds |
- 3 hours = _______ minutes
- 4 minutes = ______ seconds
- 300 seconds = ______ minutes
Activity B
- What is 15 minutes before 10:00 a.m.? ______
- What is 8 minutes after 5:00 p.m.? _________
- What is 3 minutes before noon? ________
If you are done answering the activity, please go to the answer key of this module on page 15 and check if your answers are correct.
What’s New
Do you make your school projects yourself with minimal to no help from others? What do you do if your project is difficult? Do you submit them on time? At an average, how much time do you spend per project.
Read the problem below and figure out how you can estimate the answer and determine the exact answer.
Steve helps his sister in making a project out of recycled plastic bottles. They started making the project at 5:32 p.m. If they finished the project at 6:25 p.m., how long did they make the project? About how long did they make the project?
What is It
You can solve the problem about the time spent by Steve in completing the project by estimating the elapsed time and finding the exact elapsed time.
Let us see if we have the same answer. Read and follow the presentation then let us check if you got the elapsed time and the estimated elapsed time correctly.
There are two questions that we are going to answer:
Question a): How long did they make the project? Question b): About how long did they make the project?
In Question 1, we need to find the exact elapsed time, while in Question 2 we will find the estimated elapsed time.
What’s New
Let us solve the problem by answering the following questions:
- What are asked in the problem?
- What are given?
- What operation will you use?
- What is the number sentence?
- How are the solutions done?
- What are the answers to the problem?
NOTE: The six questions follow the 4-Step Plan in Problem Solving introduced in the previous modules (Understand, Plan, Solve, Check and Look Back).
What are asked in the problem?
ANSWERS:
a. The time Steve and his sister spent in making the project.
b. The estimated time Steve and his sister spent in making the project.What are given in the problem?
ANSWERS: 5:32 p.m. – time started
6:25 p.m. – time endedWhat operation will you use?
ANSWER: SUBTRACTIONWhat is the number sentence?
ANSWER: 6:25 – 5:32 = NHow are the solutions done?
SOLUTION FOR QUESTION 1: How long did they make the project?
[chart: number line; labels and annotations as printed]
Let me present to you two methods on how to find the elapsed time.
Method 1: Using Number Line
Number line labels, in order: 5:30, 5:35, 5:40, 5:45, 5:50, 5:55, 6:00, 6:05, 6:10, 6:15, 6:20, 6:25. Brace above the line labeled: 53 Callout: 5:32 p.m. when they started making project Callout: 6:25 p.m. when they finished making project
You noticed that from 5:32 pm to 6:25 pm, the time elapsed is 53 minutes.
Method 2: Subtraction
6 : 25 → 5 : 60 + 25
6 : 25 → 5 : 85
5 : 32 → 5 : 32
0 : 53
Subtract the time in minutes. (25 – 32). We cannot subtract the time in minutes because 25 is smaller than 32, so we will regroup by borrowing 1 hour from 6. (6 – 1=5) Rename 1 hour as 60 minutes. Add 60 and 25 minutes. (60+25=85) Subtract again the time in minutes, and then the hours.
So, they made the project for 53 minutes.
SOLUTION FOR QUESTION 2: About how long did they make the project?
Let us find the estimated elapsed time.
Round the times in tens of minutes.
Study this
Actual Times Estimated Times
6 : 25 → 6 : 30
5 : 32 → 5 : 30
1 : 00
Subtract the estimated times starting the rounded time in tens of minutes and then hours.
Therefore, they made the project for about one hour.
Compare the actual elapsed time (Question 1) and the estimated elapsed time (Question 2).
Actual Elapsed Time: 53 minutes Estimated Elapsed Time: 1 hour
Are the answers close enough? Is the estimated elapsed time reasonable?
Study the following examples in finding elapsed time and estimated time.
ELAPSED TIME
A. (With Regrouping)
1: 60 + 13
2 : 13 → 1 : 73
1 : 55 → 1 : 55
0 :18
B. (Without Regrouping)
4 : 48
4 : 15
0 : 33
C. (With seconds) Hour: Minute: Second
0 : 35 : 49
0 : 21 : 37
0 : 14 : 12
ESTIMATED ELAPSED TIME
A. (With Renaming)
Estimated Times 9: 60 + 20
10 : 24 → 10 : 20 → 9 : 80
9 : 37 → 9 : 40 → 9 : 40
0 : 40
B. (Without Renaming)
Estimated Times
2 : 38 → 2 : 40
2 : 15 → 2 : 20
0 : 20
Now, you already learned our lesson on elapsed time. This time you are now ready for more activities. LET’S GO!!!
What’s More
Activity A
Find the elapsed time shown in each number line.
[chart: number line; labels as printed]
Labels: 0 sec 5 sec; 30 sec; 55 sec
Boxes: Time started; Time ended[chart: number line; labels as printed]
Labels: 7:00 PM; 7:15 PM; 8:05 PM
Boxes: Time started (at 7:15 PM); Time ended (at 8:05 PM)
Activity B
Complete the following table by providing the elapsed time.
| Start Time | End Time | Elapsed Time |
|---|---|---|
| 0:03:05 | 0:03:49 | 1. |
| 8:05 p.m. | 8:54 p.m. | 2. |
| 7:36 a.m. | 8:12 a.m. | 3. |
Activity C
Round the given time in tens of minutes and estimate the elapsed time.
| 1. | Actual Times | Rounded times |
|---|---|---|
| Time Ended | 11:47 | |
| Time Started | 11:34 | |
| Estimated Elapsed Time |
| 2. | Actual Times | Rounded times |
|---|---|---|
| Time Ended | 5:42 | |
| Time Started | 5:08 | |
| Estimated Elapsed Time |
Activity D
Read the following problem and answer the following questions.
During weekends, Greta helps her mother in washing their clothes. They started washing at 8:10 a.m. and finished at 8:55 a.m. How long did they wash their clothes?
- What is asked? ____________________________
- What are the given facts? ________________________
- What is the operation to be used? __________________
- What is the number sentence? _____________________
- How is the solution done? _________________________
- What is the answer? _____________________________
What I Have Learned
Always remember the following:
TO FIND THE ESTIMATED ELAPSED TIME:
- Round the times in minutes.
- Subtract the rounded times in tens of minutes.
- Subtract the hours.
Note: Regroup if necessary by borrowing one hour. Rename one hour to 60 minutes and add to the given time in minutes. Then subtract again the time in minutes and hours.
TO FIND THE ELAPSED TIME:
Method 1: Use a number line by counting 5 minutes per unit.
Method 2: Subtract the minutes and then hours.
Note: Regroup if necessary by borrowing one hour. Rename one hour to 60 minutes and add to the given time in minutes. Then subtract again the minutes and hours.
TO SOLVE PROBLEMS INVOLVING ELAPSED TIME:
Use the 4-Step Plan: Understand, Plan, Solve, Check and Look Back
Please check your answers for each activity using the ANSWER KEY on page 15. If you answered more than 80% of them, Great Job! Keep Up the Good Work! If you have some mistakes, go back and review the lesson again and decide which of the solutions presented is easy for you.
What I Can Do
Teacher Ruby grouped the class into five for a group activity during a Math lesson. She recorded the starting and end times that the groups had for the activity in the table below. Complete the table below by filling in the actual and estimated elapsed time. Answer the questions that follow. (Remember: The lower the time, the faster the task was finished.)
| Group | Time Started | Time Ended | Actual Elapsed Time | Estimated Elapsed Time |
|---|---|---|---|---|
| Group 1 | 8:25 a.m. | 8:52 a.m. | ||
| Group 2 | 8:25 a.m. | 8:43 a.m. | ||
| Group 3 | 8:25 a.m. | 8:49 a.m. | ||
| Group 4 | 8:25 a.m. | 8:54 a.m. | ||
| Group 5 | 8:25 a.m. | 8:37 a.m. |
- Which group finished first? The last?
- What operation did you use to solve each answer?
- Which group finished faster, Group 3 or Group 4?
- Which groups have the same longest estimated elapsed time?
- If teacher Ruby will give additional points based on their time, which should be her basis, Actual elapsed time or Estimated elapsed time?
Please check your answers for each activity with the ANSWER KEY on page 15.
Assessment
Read the following items carefully and provide what is asked. Write your answers on your answer sheet.
A. Find the elapsed time.
Time ended: 8:57
Time started: 8:35
Elapsed Time: _____Time ended: 0:25:45
Time started: 0:25:24
Elapsed Time: _______Time ended: 12:14
Time started: 11:36
Elapsed Time: _____
B. Find the estimated elapsed time.
Time ended: 2:46 →
Time started: 2:12 →
Estimated Elapsed Time: ____Time ended: 5:39 →
Time started: 5:28 →
Estimated Elapsed Time: _____Time ended: 4:19 →
Time started: 3:42 →
Estimated Elapsed Time: ____
C. Solve the following problems.
The grade 4 pupils of Ms. Analyn took their lunch right after their class at 11:45 a.m. If they finished eating at 12:10 p.m., how long did they take their lunch?
Nico wakes up at 5:40 a.m. so that he will have time to prepare himself for school. At 6:10 a.m. he is ready to go to school. How long did it take Nico to prepare for school?
Additional Activities
Alet started reviewing her lessons at 6:45 p.m. for a quiz the next day. She finished reviewing at 7:17 p.m. How long did she spend reviewing her lessons?
An airplane departs from Manila at 8:10 a.m. and arrives in Legazpi at 8:56 a.m. How long is the flight?
Please check your answers with the ANSWER KEY on page 15.
Reminder: Before answering the following activity, please make a record of the time you started answering.
Solve each problem. Write the number sentence and state the complete answer.
The EPP class of Mrs. Fara-on started gardening at 3:45 p.m. and finished at 4:20 p.m. How long did they spend for gardening?
Teacher Elsie started telling a story to her kinder pupils at 10:15 a.m. and finished it at 10:35 a.m. How long is the story time?
At 6:42 p.m., Jhonabel starts answering her assignments. She finished it at 7:10 p.m. How long did she answer her assignments?
Aivan and Arjay went to an internet shop to research for their project in Science. They started researching at 5:25 p.m. and ended at 5:55 p.m. How long is their researching time?
After dinner, instead of watching TV, Akira always volunteers to wash the dishes and clean the dining table. She does this from 6:15 p.m. to 6:36 p.m. How many minutes did she spend washing the dishes and cleaning the dining table?
Now, record the time you finish answering the activity, then find the elapsed time. How long did you answer the activity? That is your own actual elapsed time for completing the activity.
To check, please go to page 15 for the Answer Key. Congratulations for reaching this part of the module. You can always review the previous pages of this module if you need to.
Answer Key
[transcriber’s note: this page is printed upside down; the layout was read by rotating it, and several numbers in the What I Know subtraction items could not be read reliably]
What I Know
- A
- B
- 0:15 or 15 minutes
- 0:34 or 34 minutes
- 8:47 ← 8:50 ___ [?]
- 10:54 ← 10:50 ___ [?]
- 6:09 ← 4:00 ___ [?]
- 42:46 ← 42:50 ___ [?]
- She answered her module for 55 minutes.
- It took her 1:51 or 1 hour and 51 minutes in the grocery store.
What’s In
- 180 minutes
- 240 seconds
- 5 minutes
- 9:45 AM
- 5:08 PM
- 11:57 AM
Assessment
- 0:22
- 0:00:21
- 0:38
- 0:40
- 0:10
- 0:40
- 25 minutes
- 30 minutes
- 32 minutes
- 46 minutes
What’s More
Activity A
- 50 seconds
- 50 minutes
Activity B
- 0:00:44 or 44 seconds
- 0:49 or 49 minutes
- 0:36 or 36 minutes
Activity C
| Actual Times: Time Started | Actual Times: Time Ended | Rounded Times: Time Started | Rounded Times: Time Ended | Estimated Elapsed Time | |
|---|---|---|---|---|---|
| 1. | 11:30 | 11:50 | 11:34 | 11:47 | 0:20 |
| Actual Times: Time Started | Actual Times: Time Ended | Rounded Times: Time Started | Rounded Times: Time Ended | Estimated Elapsed Time | |
|---|---|---|---|---|---|
| 2. | 5:10 | 5:40 | 5:08 | 5:42 | 0:30 |
Activity D
- The time spent washing the clothes.
- Time ended: 8:55 a.m.
- Time started: 8:10 a.m.
- Subtraction
- 8:55 − 8:10 = N
- 8:10 − 8:55 0:45
- The time they spent washing their clothes is 45 minutes.
[transcriber’s note: the numbering of Activity D in the printed key runs 1 to 6; the lines above are given in the order printed]
What I Can Do
| Group | Time Started | Time Ended | Actual Elapsed Time | Estimated Elapsed Time |
|---|---|---|---|---|
| Group 1 | 8:25 a.m. [?] | 8:52 a.m. | 0:27 | 0:20 |
| Group 2 | 8:25 a.m. | 8:43 a.m. | 0:18 | 0:10 |
| Group 3 | 8:25 a.m. | 8:49 a.m. [?] | 0:25 [?] | 0:20 |
| Group 4 | 8:25 a.m. | 8:54 a.m. | 0:29 | 0:20 |
| Group 5 | 8:25 a.m. | 8:37 a.m. | 0:12 | 0:10 |
- Group 5, Group 4
- Subtraction
- Group 3
- Group 1, 3, and 4
- Actual Elapsed Time
Additional Activities
- 4:20 − 3:45 = N. They spent 35 minutes for gardening.
- 10:35 − 10:15 = N. The story time is 20 minutes.
- 7:10 − 6:42 = N. She answered her assignment for 28 minutes.
- 5:55 − 5:25 = N. Their researching time is 30 minutes.
- 6:36 − 6:15 = N. She spent 21 minutes washing the dishes and cleaning the dining table.
References
Tabilang, Alma R. et al. Mathematics 4 Learner’s Material. Department of Education. 2015.
Tabilang, Alma R. et al. Mathematics 4 Teacher’s Guide. Department of Education. 2015.
For inquiries or feedback, please write or call:
Department of Education – Bureau of Learning Resources (DepEd-BLR) Ground Floor, Bonifacio Bldg., DepEd Complex Meralco Avenue, Pasig City, Philippines 1600
Telefax: (632) 8634-1072; 8634-1054; 8631-4985
Email Address: blr.lrqad@deped.gov.ph * blr.lrpd@deped.gov.ph
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