6 Mathematics Quarter 4 – Module 3: Reading and Interpreting Electric and Water Meter Readings CO_Q4_Mathematics 6_ Module 3 Mathematics – Grade 6 Alternative Delivery Mode Quarter 4 – Module 3: Reading and interpreting electric and water meter readings 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 Writers: Rogelio J. Lausa, Ailyn B. Flores Editors: Mae Joy M. Tan, Susana L. Lutero, Nora B. Rebadomia, Ritchel P. Maratas, Mary Jane O. Amante, Susan T. Dela Torre, Jem Rymon S. Chien Reviewers: : Ivy Joy A. Torres, Ma. Theresa L. Tabotabo, Jem Rymon S. Chien, Illustrator: Eldiardo E. Dela Peňa Layout Artists: Eldiardo E. Dela Peňa, Pepe M. Tabanao, Jr. Management Team: Ramir B. Uytico, Pedro T. Escobarte, Jr., Elena P. Gonzaga, Donald T. Genine, Adonis A. Mosquera, Clarissa G. Zamora Fevi S. Fanco, Ivy Joy A. Torres, Jason R. Alpay, Mae Joy M. Tan, Jem Rymon S. Chien, Ethel S. Gali Printed in the Philippines by ________________________ Department of Education – Region VI Office Address: Telefax: E-mail Address: Duran Street, Iloilo City (033)336-2816, (033)509-7653 region6@deped.gov.ph 6 Mathematics Quarter 4 – Module 3: Reading and Interpreting Electric and Water Meter Readings 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-bystep 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 selfcheck 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 This module was designed and written with you in mind. It is here to help you master the skills in reading and interpreting electric and water meter readings and solving routine and non-routine problems involving electric and water consumption. The scope of this module allows you to use it in many different learning situations. The language used recognizes your diverse vocabulary level. The lessons are arranged to follow the standard sequence of your course. But the order in which you read them can be changed to match with the textbook you are now using. The module is divided into two lessons, namely: Lesson 1 – Read and interpret electric and water meter readings. Lesson 2 – Solve routine and non-routine problems involving electric and water consumption. After going through this module, you are expected to: 1. read and interpret electric and water meter readings (M6ME-IVd-100) and 2. solve routine and non-routine problems involving electric and water consumption. (M6ME-IVd-101) 1 CO_Q4_Mathematics 6_ Module 3 What I Know A. Write the electric meter in kilowatt hour. Write your answer on your answer sheet. 0 1 2 8 3 7 4 1. 1 2. 0 9 9 1 2 2 8 8 2 7 3 3 7 7 3 6 9 9 4 5 0 4 5 0 1 1 6 6 9 9 4 5 0 1 2 8 8 2 2 8 8 2 3 7 7 3 3 7 7 3 4 5 1 3. 0 0 1 1 8 6 5 0 9 9 0 6 6 5 9 9 0 4 4 5 1 1 0 6 6 9 9 2 8 8 2 2 8 8 3 7 7 3 3 7 7 4 5 6 6 5 4 4 5 5 6 6 0 5 4 1 2 3 4 B. Complete the table. Write your answers on your answer sheet. Present Reading (m3) 4. 8978 Previous Reading (m3) 8112 5. 1876 1753 6. 7872 7781 7. 5674 5585 8. 4955 4934 Water Consumed (m3) 2 CO_Q4_Mathematics 6_ Module 3 Lesson 1 Reading and Interpreting Electric and Water Meter Readings This module will focus on how introducing you to learning how to read and interpret electric and water meters. What’s In Read and write the dials of the electric meter below. Write your answers on your answer sheet. 1. Reading: kWh 2. Reading: kWh 3. Reading: m3 3 CO_Q4_Mathematics 6_ Module 3 What’s New Study the following meter readings: 1. Electric Meter 2. Water Meter How do you read and interpret the electric and water reading above? 4 CO_Q4_Mathematics 6_ Module 3 What is It What is an electric meter? An electric meter is a device that measures the energy transformed from electrical sources to our devices at home. Most electrical meters at home are located at a conspicuous place outside of a residence for quick access by representatives of electrical companies to do their monthly readings. Reading an electric meter Reading your electric meter is easy. There are two types of electric meters being used by electric companies. One is the Digital Type which indicates kilowatt-hour (kWh) readings by digital numbers. The other is the Dial Type which is the most commonly used electric meter. Consider the following readings and how the final reading is determined. Present Reading Present Reading (kWh): 00199 Previous Reading (kWh): 00125 Electric Consumption: 74 kWh Previous Reading An electric meter shows readings of energy. The unit of energy reflected in an electric meter is the kiloWatt-hour (kW-h), a unit of measure that reflects the product of power and time giving the quantity, energy. In an electric meter, notice that there are five dials and inside each dial is a pointer which indicates the number to be read. The pointers will alternately turn clockwise and counter clockwise. These dials measure the number of kilowatt-hour (kWh) as devices are used for a particular period of time. The illustration shows the following meter reading on each dial: 5 CO_Q4_Mathematics 6_ Module 3 Dial E: The pointer is directly on the number 7. Record as 7. Dial D: The pointer has just passed 4, and is between 4 and 5. Record the lower value, 4. Dial C: The next dial look like it is right on 8 but, the dial to its right has not passed zero. So, record this as 7, the lower value. Dial B: The pointer is between 2 and 3. Record the lower value which the pointer just passed, 2. Dial A: The dial has passed 6, and is between 6 and 7. Again, record the lower value, 6. Thus, the electric meter reading is 62 747 kWh (kilowatt-hour). Note: Always read the dials from the right to the left, starting from Dial E to Dial A. Each dial will turn in the opposite direction, so if your first dial turns clockwise, the second dial will turn anticlockwise. Be sure to remember this when recording your reading. In general, if the meter dial (arrow) is in between two numbers, record the number with the lower value. Taking a digital electric meter reading On a digital meter you should record all the digits shown on the display. It is not important to include any zeros at the beginning. In the example, the meter reading is 9410. What is a Water Meter? A water meter is a device that measures the volume of water delivered to a property. Some water meters measure water in gallons while others measure volumes in cubic feet. Most residential water meters are located near the curb or sidewalk at the front of the property in a concrete "box." The water meter box will have a metal or plastic lid and may be marked, "Water Meter." Reading a Water Meter The older style of water meter is with small dials. It looks like a series of small clocks that turns clockwise, see the illustration that follows. The unit used for this measurement is cubic meters (m3). The rules of reading a water meter with dials are similar to the way an electric meter is being read but with the rightmost having the greatest place value. 6 CO_Q4_Mathematics 6_ Module 3 Meter Reading: 3518 m3 To read water meters: 1. Start reading from right to left (clockwise). Read the number by the pointer of the dial. When the pointer is between two numbers, the lower number is recorded. 2. If the pointer appears to be exactly on a number, check the next lower dial to the right to find out the correct reading. If the dial on the right has passed zero, then use the smaller number on the dial you are reading. 3. Record the numbers from right to left as illustrated in the previous page. Computing Water and Electric Consumption To compute for water or electric consumption for a particular period of time, simply subtract the previous reading from the present reading. 7 CO_Q4_Mathematics 6_ Module 3 What’s More A. Draw the pointers on the dials as shown in each item. Do this in your answer sheet. 1. 03932 kWh. 2. 0164 m3 B. Give the reading of the following meter readings. Write your answer in your answer sheet. 3. kWh 4. m3 8 CO_Q4_Mathematics 6_ Module 3 What I Have Learned Reading Electric Meters To read electric meters: 1. Always read all the dials from right to left, starting from Dial E to A. 2. Read the number by the pointer of the dial. When the pointer is between two numbers, the lower number is recorded. 3. If the pointer appears to be exactly on a number, check the dial to the right to find out the correct reading. • If the dial on the right has passed zero, then use the number that the pointer is pointing to on the dial you are reading. • If the dial has not passed zero, then make use of the smaller number on the dial you are reading. Reading Water Meters: To read water meters: 1. Start reading from right to left (clockwise). Read the number based on the pointer of the dial. When the pointer is between two numbers, the lower number is recorded. 2. When the pointer is directly on the number, look at the dial to the right. If it has passed zero, use the next higher number. If the dial has not passed zero, use the lower number. 3. Record the numbers from right to left. Computing Electric and Water Consumption Simply subtract the previous reading from the present reading to compute for water or electric consumption for a particular period of time. 9 CO_Q4_Mathematics 6_ Module 3 What I Can Do A. Read and solve the following problems. Write your answers on your answer sheet. 1. The Dela Cruz Family closely monitors their electric consumption. The figures below show the readings on their dials for the previous and present month. What is the electric consumption of Dela Cruz family for this month? 2. Irene’s record of her family’s water consumptions read this way: Present Month Present Month How many cubic meters of water do they consume for this month? 10 CO_Q4_Mathematics 6_ Module 3 Assessment A. Give the reading for each meter. Write your answer in your answer sheet 1. kWh 2. kWh 3. m3 B. Draw the dials to show the meter reading. Write your answer in your answer sheet. 4. 2321 kWh 5. 1382 m3 11 CO_Q4_Mathematics 6_ Module 3 Additional Activities A. Write the water consumption given the present and previous water meter readings. Write your answers on your answer sheet. 1. Present (7846) Previous (7698) 2. Present (6724) Previous (6596) B. Below is a table of electric consumption. Complete the table. Write your answers on your answer sheet. Item Number Previous Reading (kWh) Present Reading (kWh) 3 2345 3549 4 2350 4500 5 3570 4590 Kilowatt-hour Used 12 CO_Q4_Mathematics 6_ Module 3 2. Answer Key 13 CO_Q4_Mathematics 6_ Module 3 What I Know A. Study the table below then answer the following questions. Write your answers on your answer sheet. Household A B C D E Electric Meter Readings Previous Readings Present Readings (kWh) (kWh) 3140 3388 6395 6710 4706 4953 5215 5580 6535 6795 1. Which household consumed the most electricity? 2. Which household consumed the least electricity? 3. Which two households consumed almost the same energy in kWh? B. Read and solve the following problems. Write your answers on your answer sheet. 4. Reyes family’s water consumption is 117 m3. If their previous water meter reading was 0531, what is their present water meter reading? 5. Last month, the water meter reading of a household was 1552 m3. The following month, it was 1596 m3. If the basic charge of water consumption per cubic meter is ₱2.55, how much will they need to pay? 14 CO_Q4_Mathematics 6_ Module 3 Lesson 2 Solve Routine and NonRoutine Problems involving Electric and Water Consumption In the previous lessons, you have learned how to read and interpret electric and water meter readings. This lesson focuses on how to solve routine and non- routine problems involving electric and water consumption. What’s In A. Find the value of N by getting the difference of the given number in kWh used. Write your answer on your answer sheet. 1. Present Reading Previous Reading 3530 2 523 N= 2. Present Reading Previous Reading 5687 5 367 N= B. Solve the cubic meter used in the following water meter readings. Write your answer in your answer sheet. 3. Present Reading Previous Reading 6344 5932 4. Present Reading Previous Reading 5320 3647 C. Read and solve the problem below. Write your answer in your answer sheet. 5. Last month, the water meter reading was 1352 m3. The following month, it was 1396 m3. What is the water consumption for the month? 15 CO_Q4_Mathematics 6_ Module 3 What’s New Read and understand the problem below. Alice has a computer unit that has a power requirement of 200 Watts. If she used her computer for 3 hours every day, how much electricity would she consume in 30 days? How will you solve this problem? What is It Use the Four-Step-Plan to solve the given problem. Follow the steps below. Step 1: UNDERSTAND a. What is asked? The total of electricity consumed in 30 days. b. What are the given facts? - power requirement of 200 Watts - uses her computer for 3 hours everyday - consume in 30 days Step 2: PLAN a. What operations shall we use to solve the problem? Multiplication b. What is the equation to be used? (200 x 3) x 30 = N First, multiply 200 Watts to 3 hours to determine the consumption for the day. Then multiply to 30 days. Step 3: SOLVE Show the computation. 200 watts x 3 hours = 600 Watt-hour 600 watts x 30 days = 1 800 Watt-hours in 30 days. Answer: The total watts consume in one month is 1 800 watts. 16 CO_Q4_Mathematics 6_ Module 3 Step 4: CHECK Look back what is asked in the problem and check the answer to the problem. Let’s take another example: Last month, Alice had a water reading of 1341. This month she another reading of 1382. How much water was consumed during the given Step 1: UNDERSTAND a. What are asked? - The water consumption of Alice during the given period b. What are the given facts? - The previous water meter reading is 1341 m3 - The present water meter reading is 1382 m3. Step 2: PLAN a. What operations shall we use to solve the problem. -Subtract previous water meter reading from present water meter reading so that you will get the difference that corresponds to the water consumptions in cubic meters. Step 3: SOLVE a. Show the computation Present Reading: 1382 m3 Previous Reading: 1341 m3 0041 m3 water consumption in one month Step 4: CHECK Check your answer. This is one way on how to check if the answer is correct. Go back to your computation, check if all the given values are properly used. 17 CO_Q4_Mathematics 6_ Module 3 What’s More Read and solve the following problems. Write your answer in your answer sheet. 1. Rowena’s family made a record of their 3-month electric consumption. The initial reading was 1476 kWh. The following table shows the succeeding monthly readings: Month Reading January 1532 February 1597 March 1646 a. In what month did they have the highest electric consumption? b. What was the average monthly electric consumption of their family? 2. Below are water meter readings of four houses. House A 07249 House B 07053 House C 06684 05926 05534 House D 06493 04886 04496 a. Which house has the lowest water consumption? b. Which house has the highest water consumption? 18 CO_Q4_Mathematics 6_ Module 3 What I Have Learned In solving routine and non-routine problems involving electric and water consumption, the Four-Step Plan can be used. The following is the four-step plan. Step 1: Understand a. Know what is asked in the problem. b. Know the given facts. Step 2: Plan Step 3: Solve a. Know the operations to be used to solve the problem. b. Write the equation. a. Solve the problem. Step 4: Check a. Look back. Check and label your answer. What I Can Do Read and solve the following problems. Write your answers on your answer sheet. 1. The two consecutive readings on a water meter are 7149 and 7675 in kiloWatt- hours (kWh). How much electricity is consumed for the period? 2. Roger’s water meter reading is 462 m3. For this month, he uses 1481 m3. What is Roger’s present water consumption rate? 3. Ailyn’s household had a water meter reading of 168 for the month of March. Last February, their water meter reading was 135. What was Ailyn’s household water consumption for the given period? 4. On March 1, the water meter reading of a given household was 1456 m3. On the last day of March, the reading was 1499 m3. How much water was consumed for the given period? 5. Last month, Kim’s electric meter reading was 4945 kWh. The following month, the reading was increased by 65 kWh. What was the reading of the following month? 19 CO_Q4_Mathematics 6_ Module 3 Assessment Read and solve the following problems. Write your answers on your answer sheet. 1. Mr. Tan computed his monthly electrical consumption. Based on his electric bill, last month he noted the reading to be 00146. When he checked his digital electric meter, the current reading was 00189. How many kilowatt-hours did Mr. Tan consume so far? 2. Last month, the water meter reading was 1489 m3. The next month, the reading was 1565 m3. How much cubic meter of water was consumed? 3. What is the water consumption of a certain laundry shop for one month if the present water meter reading is 785 m3 and the previous water meter reading is 562 m3? 4. Jing’s records of her family’s electric consumption are as follows: Initial Reading: 0123 January: 0244 February: 0448 March: 0659 a. What is their family’s total electric consumption for 3 months? b. Find the average monthly electric consumption of Jing’s family for 3 months. 20 CO_Q4_Mathematics 6_ Module 3 Additional Activities Read and solve the following problems. Write your answers on your answer sheet. 1. On January 15, the water meter reading of a given household was 1398 m3. The next month, the reading was 1453 m3. How much water was consumed? 2. The water meter reading of a given household on February was 5829 m3. What was the water consumption if the following month’s reading was 5941 m3? 3. The present meter reading shown in Mrs. Ramos’ electrical meter is 6512 kWh. What was the last reading if the family used 42 kWh? 4. Mr. Jose’s family consumed 150 kWh for a month. If their previous electrical meter reading was 31748 kWh, what was their present meter’s reading? 5. Last month, my electric meter reading was 3411 kWh. The next month, the reading was 3619 kWh. How much energy in kWh did I consume? 21 CO_Q4_Mathematics 6_ Module 3 Answer Key 22 CO_Q4_Mathematics 6_ Module 3 References Most Essential Learning Competencies (MELC) in Mathematics 6 Perez, Marjoseph H. et. al., 21st Centry MATHletes 6 Textbook, Department of Education, Ground Floor, Bonifacio Building., DepEd Complex, Meralco Avenue, Pasig City, Philippines, 2014. 23 CO_Q4_Mathematics 6_ Module 3 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