Mathematics Quarter 3 – Module 2b: Representing Fractions Using Regions, Sets, and the Number Lines 3
Mathematics – Grade 3 Alternative Delivery Mode Quarter 3 – Module 2b: Representing Fractions Using Regions, Sets, and Number Lines 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 it should be a 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 Printed in the Philippines by ________________________ Department of Education – Region XI Office Address: F. Torres St., Davao City Telefax: (082) 291-1665; (082) 221-6147 E-mail Address: [email protected] * [email protected] Development Team of the Module Author: Marichu Y. Pascua Editors: Jeremias C. Ceniza, Gina G. Silvestre, Ph.D., Elma C. Prudente, Annie Fel Lingatong, Edgardo Dondon S. Lorenzo Reviewers: Melissa Keith A. Sarilla, Lira S. Rubio, Neil Edward D. Diaz, Ana Lorma A. Dahiroc Illustrators: Dennis Macaubos, Alfie Valenteros, Christian Loyd Alfuerto, Pit Ybanez Layout Artist: Ailyn Verula-Ponce, RL. Management Team: Allan G. Farnazo Alona C. Uy Mary Jeanne B. Aldeguer Maria Gina F. Flores Analiza C. Almazan Arnel S. Zaragosa Ma. Cielo D. Estrada Jeremias C. Ceniza Renato N. Pacpakin Illuminado T. Boiser
3 Mathematics Quarter 3 – Module 2b: Representing Fractions Using Regions, Sets, and the Number Lines
ii 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.
1 This module was created to help you represent fractions. This module allows it to be used in several learning situations. The language used recognizes the diverse vocabulary level of pupils. The lectures are sequenced to follow the requirement of the course. The direction in which you read can be differentiated to match with the textbook you are now using. After going through this module, you are expected to: 1. Represent fractions using regions, sets, and number lines. Enjoy your journey. Good luck! What I Need to Know
2 x x What I Know Choose the letter of the correct answer. Write the chosen letter on a separate sheet of paper. 1. Look at the illustration. What fractional part of the figure with an X? a. 1/2 b. 1/4 c. 2/4 d. 1/3 2. What fractional part of a set is shaded? a. 1/2 b. 2/8 c. 3/6 d. 1/4 3. What fractional part of the figure shown is shaded? a. 2/4 b. 1/3 c. 1/4 d. 1/2 4. What fractional segment of the number line with marked X? a. 1/4 b. 4/2 c. 2/4 4. 1/3
3 Lesson Represent Fractions using region, sets, and number lines. In this lesson, you are going to learn the skill of representing fractions. In this module, you will see different illustrations showing fractions. Fractions represent equal parts of a whole or a collection. It has a numerator and a denominator. The Numerator is the number of equal parts shaded. The Denominator is the number of equal parts in a whole or collection. When the parts of a whole are not evenly divided, they don`t form fractions. Further, there are three different representations of fractions: i. regions, ii. sets, iii. number lines. You just have to enjoy and follow directions properly so that you will completely learn the lesson. What’s In Before going further, let us try to review first your previous lesson regarding fractions. Name the fractional part of the shaded portion in each of the following illustrations. 1. ____________________ 2. ____________________ 3. ____________________
4 What’s New Activity 1 A. Maria has one whole sheet of paper, she wanted to fold it into four equal parts. She cut one part of it. 1. In how many equal parts did Maria fold the whole sheet of paper? _____ 2. How many equal parts of the paper did Maria cut? _________ 3. What fraction of the paper did she cut? ______________ B. Ruchu divided his cake into 6 slices and shared 3 of them with his classmates. 1. In how many equal parts did Ruchu sliced the whole piece of cake? _____ 2. How many equal parts of the cake did Ruchu shared? _____ 3. What fraction of the cake did he share? ________ Are you ready to proceed to your new lesson?
5 Figure A. Figure B. Figure C. What is It Suggestion: How are fractions represented? Fractions can be represented by the use of regions, sets, and segments of number lines. A. Representing fractions using regions. Figure A shows 3/6, where 3 (shaded part) is called the numerator and 6 (equal parts of a whole) is called denominator. In Figure B the illustration shows 12/24, where 12 (shaded part) as numerator and 24 (equal parts of a whole) as the denominator. While in Figure C, the illustration shows 2/5, where 2 (shaded part) is called the numerator and 5 (equal parts of a whole) is called the denominator.
6 B. Representing fractions using sets. C. Representing fractions using number lines. How many equal parts does the number line have? How many of the equal parts in the number line are marked? How many segments of the number line divided? There are 8 triangles in a set and 3 of them are shaded. The fractional name of the shaded part is 3/8. The shaded parts represent the numerator and the total number of triangles in a set is the denominator.
7 What’s More Activity 2 Name the fraction represented by the shaded parts. Write your answer on your paper. 1. _____________ 2. _____________ 3. _____________ 4. _____________ 5. _____________
8 Activity 3 A. Write the fractional part of the shaded set. Write your answer in your paper. 1. ______________ 2. ______________ 3. ______________ 4. ______________ 5. ______________
9 Fractions can be represented by the use of regions, sets and segmets. The Numerator is the fractions represented by equal parts of a whole or a collection. It is the number of equal parts shaded. The Denominator is the number of equal parts in a whole or collection. enominator is the shaded. Denominator is the number of equal parts in a whole or collection. B. Write the fractional segment of the number line marked X. 1. 2. What I Have Learned How can fractions be represented?
10 What I Can Do Activity 4 It is now your turn to show a representation of the given fractions. You may use regions, set, or number lines. Use a separate sheet of paper in doing this. Representation Fraction 1. 2. 3. 4. 5.
11 Assessment Choose the correct fraction of the representation. Write the letter of your answer on a sheet of paper. 1. A. 2/4 B. 3/4 C. 1/4 2. A. 3/8 B. 3/6 C. 3/7 3. A. 1/2 B. 6/8 C. 3/10 4. A. 6/12 B. 6/11 C. 6/10 5. A. 7/3 B. 3/7 C. 3/5
12 Additional Activities Activity 5 Name the fraction represented by the shaded part. 1. _______________ 2. _______________ 3. _______________ 4. _______________ 5. _______________
13 Answer Key Additional Activity Activity 5 3/10 1. 8/5 2. /10 4 3. 4/1 4. 12 6/ 5. Assessment 1.A 2.B 3.C 4. A 5. B What I Can Do ½ 1. 4/10 2. 7/9 3. 2/6 4. 1/8 5. What’s More 2 Act. 3 Activity A. 2/8 1. 2/6 1. 4/8 2. 3/5 2. 3. 4/7 ¼ 3. 2/4 4. 3/9 4. 2/9 5. 2/10 5. B. . ½1 2. 2/5 What's In 1.4/8 2.3/6 3.2/4 What I Know 1. A 2. B C. C D. D
14 References Ofelia Chingcuangco, Henry Contemplacion, Eleanor Flores …et.al. Mathematics: Teacher’s Guide: Rex Book Store Inc., 2015. Laura Gonzaga, Eleonor Interia, Patricio, Yolanda…et.al. Mathematics Skillbook 3: s.n., 2008.
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