Technology and Livelihood Education 7 HOUSEHOLD SERVICES Module 2 Performing Mensuration and Calculation (MC) Department of Education ● Republic of the Philippines Technology and Livelihood Education Grade 7 Alternative Delivery Mode Module 2: Performing Mensuration and Calculation (MC) 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 Regional Director: Dr. Arturo B. Bayocot, CESO III Assistant Regional Director: Dr. Victor G. De Gracia Jr., CESO V Development Team of the Module Anito T. Esoy Jr. Esther V. Raagas Reviewers: Zharell Hope P. Sustento Kezia Keren L. Cagalawan Harigene G. Beloy Benjie L. Mananzan Illustrator and Layout Artist: Glenda B. Adecir, HT1 Author: Management Team Chairperson: Co-Chairpersons: Dr. Arturo B. Bayocot, CESO III Regional Director Dr. Victor G. De Gracia Jr. CESO V Asst. Regional Director Edwin R. Maribojoc, EdD, CESO VI Schools Division Superintendent Myra P. Mebato,PhD, CESE Assistant Schools Division Superintendent Members Mala Epra B. Magnaong, Chief ES, CLMD Neil A. Improgo, EPS-LRMS Bienvenido U. Tagolimot, Jr., EPS-ADM Samuel C. Silacan, EdD, CID Chief Joseph T. Boniao, EPS – EPP/TLE Rone Ray M. Portacion, EdD, EPS – LRMS Edwin V. Palma, PSDS Ray G. Salcedo, Principal II/District In-charge Avilla G. Taclob, Principal I/District In-charge Agnes P. Gonzales, PDO II Vilma M. Inso, Librarian II Printed in the Philippines by Department of Education Region 10 Office Address: Zone 1, DepEd Building, Masterson Avenue, Upper Balulang Cagayan de Oro City Contact Number: (088) 880 7072 E-mail Address: region10@deped.gov.ph 7 Technology and Livelihood Education HOUSEHOLD SERVICES Module 2 Performing Mensuration and Calculation (MC) This instructional material is collaboratively developed and reviewed by educators from public schools. We encourage teachers and other education stakeholders to email their feedback, comments, and recommendations to the Department of Education – Region 10 at region10@deped.gov.ph Your feedback and recommendations are highly valued. Introductory Message For the learner: Welcome to the Technology and Livelihood Education 7 Alternative Delivery Mode (ADM) on Household Services - Module 2: Performing Mensuration and Calculation (MC). The hand is one of the most symbolized part of the human body. It is often used to depict skill, action and purpose. Through our hands we may learn, create and accomplish. Hence, the hand in this learning resource signifies that you as a learner is capable and empowered to successfully achieve the relevant competencies and skills at your own pace and time. Your academic success lies in your own hands! This module was designed to provide you with fun and meaningful opportunities for guided and independent learning at your own pace and time. You will be enabled to process the contents of the learning resource while being an active learner. This module has the following parts and corresponding icons: What I Need to Know This will give you an idea of the skills or competencies you are expected to learn in the module. What I Know This part includes an activity that aims to check what you already know about the lesson to take. If you get all the answers correct (100%), you may decide to skip this module. What’s In This is a brief drill or review to help you link the current lesson with the previous one. What’s New In this portion, the new lesson will be introduced to you in various ways such as a story, a song, a poem, a problem opener, an activity or a situation. What is It This section provides a brief discussion of the lesson. This aims to help you discover and understand new concepts and skills. What’s More This comprises activities for independent practice to solidify your understanding and skills of the topic. You may check the answers to the exercises using the Answer Key at the end of the module. What I Have Learned This includes questions or blank sentence/paragraph to be filled in to process what you learned from the lesson. What I Can Do This section provides an activity which will help you transfer your new knowledge or skill into real life situations or concerns. Assessment This is a task which aims to evaluate your level of mastery in achieving the learning competency. Additional Activities In this portion, another activity will be given to you to enrich your knowledge or skill of the lesson learned. This also tends retention of learned concepts. Answer Key This contains answers to all activities in the module. At the end of this module you will also find: References This is a list of all sources used in developing this module. The following are some reminders in using this module: 1. Use the module with care. Do not put unnecessary mark/s on any part of the module. Use a separate sheet of paper in answering the exercises. 2. Don’t forget to answer What I Know before moving on to the other activities included in the module. 3. Read the instruction carefully before doing each task. 4. Observe honesty and integrity in doing the tasks and checking your answers. 5. Finish the task at hand before proceeding to the next. 6. Return this module to your teacher/facilitator once you are through with it. If you encounter any difficulty in answering the tasks in this module, do not hesitate to consult your teacher or facilitator. Always bear in mind that you are not alone. We hope that through this material, you will experience meaningful learning and gain deep understanding of the relevant competencies. You can do it! Table of Contents What I Need to Know -------------------------------- 1 What I Know -------------------------------- 2 Module 2: PERFORMING MENSURATION AND CALCULATION (MC) Lesson 1: Carrying Out Measurements and Calculations of Required Tasks - - - - - - - - - - - - - - - -- - - - - - - - - - - - - - - - 5 What’s In ------------------------------- 5 What’s New - - - - - - - - - - - - - - - -- - - - - - - - - - - - - - - - 6 What is It ------------------------------- 6 What’s More - - - - - - - - - - - - - - -- - - - - - - - - - - - - - - - 13 What I Have Learned -------------------------------- 16 What I Can Do - - - - - - - - - - - - - - -- - - - - - - - - - - - - - - - - 16 Assessment - - - - - - - - - - - - - - -- - - - - - - - - - - - - - - - 17 Additional Activities ----------------------------- -- 19 Answer Key - - - - - - - - - - - -- - - - - - - - - - - - - - - - - - - 20 References ------------------------- ------ 21 What I Need to Know This module of performing mensuration and calculation specifies the outcome required to carry out measurements and perform simple calculations to determine task and material requirements for a job. It supports achievements of skills to take measurements and use these to calculate material qualities and calculation for related tasks commonly used and applied. This module consists of only one lesson: Lesson 1: Carry out measurements and calculations of required tasks. ● Conversion of weight, time, temperature, and space measurements. ● Ratio and Proportion. After going through this module, you are expected to: a. convert systems of measurement according to task requirement and b. perform ratio and proportion based on the required task 1 What I Know Pre-Test Directions: Read, analyze and answer each statement carefully. Choose the letter of the correct answer. Write the answers in your TLE Household Services activity notebook. 1. Which unit of temperature is used to record surface temperature measurements, by meteorologists in the United States? a. celsius b. temperature c. kelvin d. fahrenheit 2. The measure of the force of gravity on a certain object is called a. time b. space measurement c. weight d. temperature 3. Any particular time interval, used as a standard way of measuring or expressing duration is called? a. distance b. eight c. ratio d. time 4. What do you call the unit of temperature that is very handy for many scientific calculations since it begins at absolute zero? a. ratio and proportion b. celsius c. kelvin d. Fahrenheit 2 . 5. It refers to the quantitative relation between two amounts showing the numbers of times one value contains or is contained within the other. a. ratio b. proportion c. conversion d. ratio and proportion 6. What is the answer if you convert 412 ounces (oz) of detergent powder to pounds (lb)? a. 20. 10 lbs b. 25. 75 lbs c. 18.22 lbs d. 25.12 lbs 7. A certain recipe calls for 3kgs of sugar for every 6 kgs of flour. If 60kgs of this sweet has to be prepared, how many kilograms of sugar is needed? a. 10 kgs b. 20 kgs c. 15 kgs d. 5 kgs 8. The term define as the branch of geometry that deals with the measurement of length, area, or volume. a. calculation b. proportion c. mensuration d. conversion 9. If the ratio of chocolates to ice cream cones in a box is 5:8 and the number of chocolates is 30. Find the number of 16 ice cream cones. a. 30 ice cream cones b. 42 ice cream cones c. 50 ice cream cones d. 48 ice cream cones 3 10. Andrea works in a hotel for so long. She works in at least 7 hours every shift. She wants to know how many minutes she works in every shift. a. 350 minutes b. 420 minutes c. 390 minutes d. 400 minutes 4 Lesson 1 CARRYING OUT MEASUREMENTS AND CALCULATIONS OF REQUIRED TASKS What’s In In the previous lesson, you learned the basic concepts of housekeeping, how to use appropriate cleaning tools, equipment, supplies, and materials as well as on how to maintain cleaning equipment. By getting that far, I would like to say CONGRATULATIONS! Now, you are on the next journey on continuing this module. This lesson will teach you on how to perform mensuration and calculation. The contents of the topic include the conversion of weight, time, temperature, and space measurements, ratio and proportion, substitution of ingredients or chemicals solutions and computation of work schedules or housekeeping bills. But before you proceed, answer first the following short quiz to test how far you have learned on the previous lesson. Write the answers in your TLE Household Services activity notebook. 1. Give at least five (5) types of cleaning tools, equipment, supplies, and materials found in your home. 2. Give at least two (2) ways in maintaining and storing those cleaning tools, equipment, supplies and materials that you listed above 5 What’s New Activity 1- Fix Me Directions: Arrange the jumbled letters to identify the term being defined/described in each statement. Write the answers in your TLE Household Services activity notebook. MENTIONSURA 1. It deals with the measurement of length, area, or volume. TIONLACALCU 2. The act of calculating. HTWEIG 3. The measure of the force of gravity on the object. What is it? Mensuration. It is defined as the branch of geometry that deals with the measurement of length, area, or volume. It is also the act or process of measuring. Calculation. It is a deliberate process that transforms one or more inputs into one or more results. The term is used in a variety of senses, from the very definite arithmetical calculation of using an algorithm, to the vague heuristics of calculating a strategy in a competition, or calculating the chance of a successful relationship between two people. 6 Conversion of Weight, Time, Temperature, and Space Measurement A. Conversion of Weight Weight is the measure of the force of gravity on that object. It is a body's relative mass or the quantity of matter contained by it, giving rise to a downward force; the heaviness of a person or thing. Below are the unit conversions of weight (mass): UNIT CONVERSIONS (Weight) Mass Metric Conversions Standard Conversions 1 gram (g) = 1 ounce (oz) = 16 drams (dr) 1000 milligrams (mg) 1 kilogram (kg) = 1000 grams (g) 1 pound (lb) = 16 ounces (oz) Metric to Standard Conversions Standard to Metric Conversions 1 gram (g) = 0.035274 ounces (oz) 1 ounce (oz) = 28.34952 grams (g) 1 kilogram (kg) = 2.20462 pounds (lbs) 1 pound (lb) = 453.59237 grams (g) 1 kilogram (kg) = 35.27396 ounces (oz) 1 pound (lb) = 0.45359 grams (g) Exercise 1: A group of guests in a hotel has a total luggage that weighs 176 pounds (lbs). Convert the weight of the total weight of the luggage into kilograms. Solution A: Multiply 176 lbs by using the given conversion factor: Conversion: 1 kilogram (kg) = 2.2 pounds (lbs) 1 kg 2.2 pounds × 176 pounds 176 kg = = 80 kg 2.2 Therefore, the group of guest’s luggage has a total of 80 (kg). 7 Exercise 2: Zoey is an employee in the linen and laundry department in a prestigious hotel. She then gets a 530 grams of detergent powder to be used in washing hotel linens. The measurement used in procedure in their laundry task sheets is in pounds (lbs). Help her convert from grams to pounds. This problem has two ways in getting the measurement needed: Solution A: Multiply 530 g by using two given conversion factors: First Conversion: 1 kilogram (kg) = 1000 grams (g) 1 kg 1000 grams × 500 grams 530 kg = = 0.53 kg 1000 Second Conversion: 2.2 pounds (lbs) = 1 kilogram (kg) 2.2 lbs 1 kg × 0.53 kg 1.166 lbs = = 1.166 lbs Round-off to the nearest hundredths 1 1.171 lbs Solution B: Multiply 530 g by using shorter given conversion factor: Conversion: 1 pound (lb) = 453.59237 grams (g) 1 lb × 530 g 530 lbs = = 1.168 lbs 59237 453.59237 g 1.171 lbs Therefore, Zoey’s detergent powder in pounds is 1.17 pounds (lbs) 8 Round-off to the nearest hundredths B. Conversion of Time Measurement A unit of time or midst unit is any particular time interval, used as a standard way of measuring or expressing duration. The base unit of time in the International System of Units (SI) and by extension most of the Western world, is the second, defined as about 9 billion oscillations of the caesium atom. Below are the unit conversions of time measurement: UNIT CONVERSIONS Time Measure 1 minute = 60 seconds 1 hour = 60 minutes 1 day = 24 hours 1 week = 7 days 1 year = 12 months Exercise 1: Julie works in a hotel for so long. She works in at least 6.5 hours every shift. She wants to know how many minutes she works in every shift. Solution A: Multiply 6.5 hours by using the given conversion factor: Conversion: 1 hour = 60 minutes 60 minutes × 6.5 hours 390 minutes = 1 hour = 390 minutes 1 Exercise 2: Andre cleans the deluxe rooms for about 3,345 minutes in his entire shifts. In how many days does he clean the deluxe rooms of his entire shifts? A. Multiply 3,345 minutes by using two given conversion factors: First Conversion: 60 minutes = 1 hour B. 1 hour C. = × 3,345 minutes 60 minutes D. 3,345 hours = 60 9 55.75 hours Second Conversion: 24 hours = 1 day 1 day 24 hours × 55.75 hours 55.75 days = 24 = Round-off to the nearest tenths 2.322 days 2.3 days days Therefore, Andre’s entire shift in cleaning deluxe rooms is 2.3 days. C. Conversion of Temperature Degrees Fahrenheit, (developed in the early 1700's by G. Daniel Fahrenheit), is used to record surface temperature measurements by meteorologists in the United States. However, since most of the rest of the world uses degrees. Celsius (developed in the 18th Century), it is important to be able to convert from units of degrees Fahrenheit to degrees Celsius. Kelvin is another unit of temperature that is very handy for many scientific calculations, since it begins at absolute zero, meaning it has no negative numbers. (Note: The word "degrees" is NOT used with Kelvin.) Below are the unit conversions of temperature. UNIT CONVERSIONS Temperature From Celsius 9⁄ 5 To Celsius [°C] = ([°F] − 32) × Fahrenheit [°F] = [°C] × + 32 Kelvin [K] = [°C] + 273.15 [°C] = [K] − 273.15 From Fahrenheit To Fahrenheit Celsius [°C] = ([°F] − 32) × Kelvin [K] = ([°F] + 459.67) × 10 5⁄ 9 [°F] = [°C] × 5⁄ 9 [°F] = [K] × 459.67 9⁄ 5 9⁄ 5 5⁄ + 32 − 9 Exercise 1: The room temperature of some family rooms of XYZ Hotel is 12 °C. Give the Fahrenheit temperature of these rooms. Solution A: Convert Celsius to Fahrenheit by using the formula given: Conversion: [°F] = [°C] × [°F] = [°C] °F = 9⁄ 5 × { [12 °C] 9 ⁄5 + 32 + 32 x 9⁄5} + 32 (multiply 12 and 9, answer is 108) °F = {108 / 5} + °F = {21.6 + 32} 32 (divide 108 by 5, answer is 21.6) (add 21.6 and 32, answer is 53.6) °F = 53.6 Therefore, 53.6 °F is the temperature of the family rooms of XYZ Exercise 2: Give the Kelvin of 90 °F. Solution A: Convert Fahrenheit to Kelvin by using the formula given: Conversion: [K] = ([°F] + 459.67) × 5⁄9 [K] K = = ([°F] + 459.67) × 5⁄ 9 ([90 °F] + 459.67) × K = (549) x K = (2,745 / 9) K = 305 5⁄ 9 5/9 (add 90 and 459.67, answer is 549) (multiply 549 and 5, answer is 2,745) (divide 2,745 by 9, answer is 305) Therefore, 305 K is the answer. 11 D. Conversion of Space Measurements The two (2) systems of measurements are: The English and the Metric System. The English system originated in England also known as the U.S. customary system of measurement while the Metric System was developed in France and also known as the S. I. (International Standard). GUIDE TABLE IN UNIT CONVERSION English to English Metric to Metric English to Metric Metric to English 1 foot = 12 inches 1 meter = 10 decimeter 1 dm = 10 centimeter 1 inch = 2.54 cm 1 inch = 25.4 mm 1 foot = 30.48 cm 1 meter = 3.28 feet 1 meter = 39.37 inches Sample Solutions in Conversion A. Foot to Inches 3 ft = ____________ inches Solution: Multiply 3 ft by 12 inches/ft=36 inches B. Inch to Feet 48 inches = __________ feet Solution: Divide 48 inches by 12 inches/feet = 4 feet C. Centimeter to Millimeters 22 cm = _____________ millimeters Solution: Multiply 22 cm by 10 cm/cm=220 mm D. Inch to Centimeter 6 inches = ____________ centimeter Solution: Multiply 6 inches by 2.54 cm/inch = 15. 24 cm 12 What’s More Activity 1- Solve and Convert Directions: Read, analyze and answer the following equations. Solve and show your solutions in your TLE Household Services activity notebook. (5 points each) 1. Convert 412 ounces (oz) of hotel guest baggage to pounds. 2. Convert 23°C of hotel room temperature to Fahrenheit 3. Convert 3,412 hours of work time of the housekeeper employee to days. RATIO AND PROPORTION Ratio. It is the quantitative relation between two amounts showing the number of times one value contains or is contained within the other. In housekeeping, it would vary based on the type of hotel, and the size of the rooms. Notation: Ratio of two values a and b is written as: a:b or a/b or a to b For instance, the ratio of number of boys in a class to the number of girls is 2:3. Here, 2 and 3 are not taken as the exact count of the students but a multiple of them, which means the number of boys can be 2 or 4 or 6…etc and the number of girls is 3 or 6 or 9… etc. It also means that in every five students, there are two boys and three girls. Question 1: In a certain hotel, there are 28 guest women and 21 guest men. What is the ratio of guest men to guest women? What is the ratio of guest women to the total number of guests in the hotel? Solution : Guest Men : Guest Women = = Women: total number of guests 13 = = 21:28 (divisible by 7) 3:4 28:49 (divisible by 7) 4:7 Question 2: In a group, the ratio of doctors to lawyers is 5:4. If the total number of people in the group is 72, what is the number of lawyers in the group? Solution: Let the number of doctors be 5x and the number of lawyers be 4x. Then 5x+4x = 72 → x=8. So, the number of lawyers in the group is 4*8 = 32. Question 3: If the ratio of chocolates to ice-cream cones in a box is 5:8 and the number of chocolates is 30, find the number of icecream cones. Solution: Let the number of chocolates be 5x and the number of ice-cream cones be 8x. 5x = 30 → x = 6 5(6) = 30 Therefore, number of ice-cream cones in the box 8x = 8(6) = 48. Proportion. It is defined as the comparison of two ratios. If a: b = c: d, then a, b, c, d are said to be in proportion and written as a: b :: c:d or a/b=c/d. a, d are called the extremes and b, c are called the means. For a proportion a: b = c: d, product of means = product of extremes → b*c = a*d. Let us take a look at some examples: Question 1: In a mixture of 45 litres, the ratio of sugar solution to salt solution is 1:2. What is the amount of sugar solution to be added if the ratio has to be 2:1? 14 Answer: Number of litres of sugar solution in the mixture = [1/(1+2) ] *45 = 15 litres. So, 45-15 = 30 litres of salt solution is present in it. Let the quantity of sugar solution to be added be x litres. Setting up the proportion, sugar solution/salt solution=(15+x)/30=2/1→x= 45. Therefore, 45 litres of sugar solution has to be added to bring it to the ratio 2:1. Question 2: A certain recipe calls for 3kgs of sugar for every 6 kgs of flour. If 60kgs of this sweet has to be prepared, how much sugar is required? Solution: Let the quantity of sugar required be x kgs. 3 kgs of sugar added to 6 kgs of flour constitutes a total of 9 kgs of sweet. 3 kgs of sugar is present in 9 kgs of sweet. We need to find the quantity of sugar required for 60 kgs of sweet. So the proportion looks like this. 3/9 = x/60 → x=20. Therefore, 20 kgs of sugar is required for 60 kgs of sweet. What’s More Activity 2 - Ratio and Proportion Directions: Read, analyze and answer each problem carefully. Solve and show your solutions in your TLE Household Services activity notebook. (5 points each) 1. Andrew is a room boy attendant and received 1 box of gloves from Deluxe Hotel that contains 100 gloves, then 4 ½ boxes will contain how many gloves? 2. Find the third proportional of 16 guest room attendants and 20 linen room attendants. 15 What I Have Learned Directions: Read, analyze and answer each statement carefully. Write the answers in your TLE Household Services activity notebook. 1. It refers to the measure of the force of gravity on the object. It is called ________. 2. A __________is any particular time interval, used as a standard way of measuring or expressing duration. 3. The quantitative relation between two amounts showing the number of times one value contains or is contained within the other is called _________. 4. Developed in the early 1700's by G. Daniel Fahrenheit is used to record surface temperature measurements by meteorologists in the United States is called__________. 5. ______________ is defined as the branch of geometry that deals with the measurement of length, area, or volume. What I Can Do Directions: Read, analyze and answer the problem carefully. Solve and show your solution in your TLE Household Services activity notebook. (5 points) 1. Sheena is the receptionist of XYZ Hotel. She handles the reservations of the guests. The hotel has only 16 deluxe rooms (2 person rooms to accommodate the guests for the conference). How many rooms do they need to accommodate 64 guest 16 Assessment Post Test Directions: Read, analyze and answer each statement carefully. Choose the letter of the correct answer. Write the answers in your TLE Household Services activity notebook. 1. What term refers to the quantitative relation between two amounts showing the numbers of times one value contains or is contained within the other? a. ratio b. proportion c. conversion d. ratio and proportion 2. Any particular time interval used as a standard way of measuring or expressing duration is called . a. distance b. eight c. ratio d. time 3. The measure of force of gravity on a certain object is called a. time b. space measurement c. weight d. temperature 4. It refers to the unit of temperature used to record surface temperature measurements by meteorologists in the United States. a. Celsius b. temperature c. kelvin d. Fahrenheit 17 . 5. What do you call a unit of temperature that is very handy for many scientific calculations since it begins at absolute zero? a. ratio and proportion b. celsius c. kelvin d. fahrenheit 6. A certain recipe calls for 3kgs of sugar for every 6 kgs of flour. If 60kgs of this sweet has to be prepared, how many kilograms sugar is needed? a. 10 kgs b. 20 kgs c. 15 kgs d. 5 kgs 7. What is the answer if you convert 412 ounces (oz) of detergent powder to pounds (lb)? a. 20. 10 lbs b. 25. 75 lbs c. 18.22 lbs d. 25.12 lbs 8. Andrea works in a hotel for so long. She works in at least 7 hours every shift. She wants to know how many minutes she works in every shift. a. 350 minutes b. 420 minutes c. 390 minutes d. 400 minutes 9. The term define as the branch of geometry that deals with the measurement of length, area, or volume. a. calculation b. proportion c. mensuration d. conversion 18 10. If the ratio of chocolates to ice cream cones in a box is 5:8 and the number of chocolates is 30. Find the number of 16 ice cream cones. a. 30 ice cream cones b. 42 ice cream cones c. 50 ice cream cones d. 48 ice cream cones Additional Activities Directions: Read each sentence carefully. Write TRUE if the statement is correct, FALSE if it is incorrect. Write the answers in your TLE Household Services activity notebook. 1. Kelvin is a unit of temperature that is very handy for many scientific calculations since it begins at absolute zero. __________ 2.Mensuration is the branch of geometry that deals with the measurement of length, area, or volume. __________ 3. Mass is the measure of the force of gravity on the object. __________ 4. Degrees Fahrenheit is developed by G. Danielo Fahrenheit. __________ 5. The act or process of or result of calculating is called calculation. 19 20 Additional Activities 1. True 2. True 3. False 4. False 5. True What I Have Learned 4. 5. 6. 7. 8. Weight Unit of Time Ratio Degree Fahrenheit Mensuration What’s New 1. MENSURATION 2. CALCULATION 3. WEIGHT Assessment 1.a 2.d 3.c 4.d 5.c 6.b 7.b 8.b 9.c 10.d What I Know 1.d 2.c 3.d 4.c 5.a 6.b 7.b 8.c 9.d 10.b Answer Key References Urbiztondo, Laarni A. Housekeeping. Manila, Philippines: Rex Publishing, 2016 Summarized Conversion “Conversion Table Table” NWCG https://www.nwcg.gov/course/ffm/conversions/table-21-summarized-conversion-table. (Accessed June 24, 2020.) Measurement Conversions Word Problem. “Conversion Word Problem http://d68curriculum.weebly.com/uploads/2/1/3/5/21352546/measurement_conversio ns_word_problems.pdf(Accessed June 24, 2020) Home “Math Problems, Tests, Forums” https://www.math10.com/en/algebra/convenrsionfactors-length-area-volume-mass- speed-energy-power-force.html(Assessed June 24, 2020) Wikipedia “Conversion of units of temperature ”June 10, 2020 https://en.wikipedia.org/wiki/Conversion_of_units_of_temperature (Accessed June 24, 2020) Cosmos;http://coolcosmos.ipac.caltech.edu/cosmic_classroom/cosmic_reference/dis tance.html(Accessed June 24, 2020) MBA Crystal Ball“Ratio and Proportion Questions & Word Problems | GMAT GRE Maths” May 06, 2018https://www.mbacrystalball.com/blog/2015/08/28/ratio- proportion- problems/(Accessed June 24, 2020) MBA Crystal Ballhttps://www.mbacrystalball.com/blog/2015/08/28/ratio-proportion- problems/(Accessed June 24, 2020) 21 For inquiries or feedback, please write or call: Department of Education – Region 10 Zone 1, DepEd Building Masterson Avenue, Upper Balulang Cagayan de Oro City, 9000 Telefax: (088) 880 7072 E-mail Address: region10@deped.gov.ph