Mathematics Quarter 3 – Module 6: Recognizing and Drawing a Point, Line, Line Segment, and Ray 3 Name: Section:
Mathematics – Grade 3 Alternative Delivery Mode Quarter 3 – Module 6: Recognizing and Drawing Point, Line, Line Segment, and Ray 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 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: Ciera Patrice P. Basas Editors: Jeremias C. Ceniza, Gina G. Silvestre, Elma C. Prudente, Annie Fel Lingatong, Edgardo Dondon S. Lorenzo Reviewers: Hazel Gentilles Basa, Aubrey E. Torrentira Neil Edward D. Diaz, Ana Lorma A. Dahiroc Illustrators: Dennis Macaubos, Alfie Valenteros, Christian Loyd Alfuerto, Pit Ybanez Layout Artist: Ailyn Verula-Ponce 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 6: Recognize and Draw a Point, Line, Line Segment, and Ray
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 In this module you would recognize point, line, line segment and a ray. You can also draw all of this. Don’t you know that you are already familiar with this? Do you remember star gazing at night? We often connect stars and form different objects from it. In this lesson we will realize how points, lines, line segment and ray differ and how it works in our day to day endeavour. After going through this module, you are expected to: 1. define a point, line, line segment and ray 2. recognize and draw a point, line, line segment and ray (M3GE-IIIe-11 ). Enjoy your journey. Good luck! What I Need to Know
2 What I Know Give what is being asked in the following items. 1. What is a point? ________________________________________ a. a part of a line with only one end point b. a collection of points along a straight path c. a dot in exact location in space d. a part of a line with two endpoints 2. Draw a point: 3. What is a line? _________________________________________ a. a part of a line with only one end point b. a collection of points along a straight path c. a part of a line with two endpoints d. a dot in exact location in space 4. Draw a line: _______________ 5. What is a line segment? _______________________________ a. a part of a line with only one end point b. a collection of points along a straight path c. a dot in exact location in space d. a part of a line with two endpoints 6. Draw a line segment:
3 7. What is a ray? _________________________________________ a. a collection of points along a straight path b. a part of a line with only one end point c. a dot in exact location in space d. a part of a line with two endpoints 8. Draw a ray: ____________________
4 Lesson Recognizing and Drawing a Point, Line, Line Segment and Ray The children like you are fond of reading different stories and poems that could give life lessons. Can you connect dots from above? The stars at night, looks like dots of light at night. What is another name for dots?
5 What’s In Identify the following pairs of lines. Name each of the following pairs as intersecting line, perpendicular line, and parallel line in the space provided. 1. ___________________ 2. ___________________ 3. _____________________ 4. _____________________ 5. _____________________
6 What’s New Do you remember a game connect-the dots? Each small dot you make is called a point, whether we use a pen, pencil, pentel pen or even a crayon still called a point. Now, can you draw 2 points in the box and called it point A and point B? a. b. Can you draw two points, get a ruler and connect two points to make a line? And, call it line segment CD. c. Can you draw two points and connect it with a line with arrows at both ends? And call it a line EF. d. Draw a line where the other side is an arrow while the other end is point. And call it line GH. Using the drawing tool in your app, answer the following.
What is It Activity 1 In activity 1, I asked you to draw point, line, line segment and a ray. Now, let’s check if you did it right. With its correct definition and it’s sample illustration. What is a Point? Is an exact position on a plane surface. Each dot you make with a sharp pencil is called a point. Usually, we use a dot or as a cross mark to the position of a point. Sample, . A X B We call these points as Point A and Point B What is a line? Is a set of points in a straight path that extends in opposite directions without ending. Sample, . . C D We, call this line CD. What is line segment? A line segment is a part of a line between two end points. . . E F We call it line segment EF.
8 What is a ray? A ray is a part of a line that has one end point and an arrow that extends in one direction without ending. . G H We have now, ray GH. What’s More Activity 2 Now let’s practice what we have discussed. Use your drawing tool app if necessary. 1. a. In the box below, mark 2 points with a dot each. Name the points H and I. 1. a. Draw a line segment KL in the box below. b. Draw lines MN in the box below.
9 2. Points A, C and E are shown below. Draw a line to show ray AB, ray CD and ray EF. What I Have Learned Points can be marked with a dot or a cross. Ex. . x Lines have no end. Straight line is drawn with a ruler. We show line by making arrows in both ends. Ex. Line Segment joints 2 points. The length of line segment is the length from 1 point to the other. Ex. . Ray goes in one direction. It starts with a point and ends with an arrow. Ex. . A . E. C .
10 What I Can Do Activity 3 Answer the following question using the drawing below. M N O P 1. Name all the points. 2. Identify all the line that is shown 3. Name all the line segments in the drawing 4. Identify all the rays that is shown.
11 Assessment Activity 4 Choose the letter of the correct answer. 1. Dot is a symbol for _____________. a. line b. ray c. angle d. line segment 2. A ________________ can be longer, through its arrows showing no ending. a. point b. lines c. segments d. dots 3. Part of the line is a ray which is compose of endpoint and a ____________. a. arrowhead b. endpoint c. line d. dot 4. Line segment is part of a line that has _______ endpoints. a. 1 b. 2 c. 3 d. 4 5. This represents a ____________. a. segments b. ray c. line d. point
12 Line point line segment ray Additional Activities Activity 5 Choose the correct answer in the box to complete the sentence below. Write it on the blank. 1. A ________ has two arrowheads. 2. A geometric figure that has one endpoint and arrowhead is called________________. 3. A ________________ has two endpoints. 4. A ________________ can be named through a letter.
13 Answer Key Additional Activity 1.line 2. ray segment 3. line 4. point Assessment A 1. B 2. A 3. B 4. C 5. What I Can Do 1. point M, point N, Point O, and point P 2. line L Q 3. Line Segment MN, MO, MP,NO, OP, NP 4. Ray LN, LP, MQ, NQ, OQ, PQ What’s More . . . A 1. I H x B. A. 2. N M . . B. K L A. 3. B A D C F E What's In 1. parallel line 2. intersecting line 3. perpendicular line 4. parallel line 5. intersecting line What I Know C 1. . 2. b 3. 4. 5. d 6.. . 7. B 8
14 References Xander Yun, The New Syllabus Primary Mathematics: Rex Book Store., 2014, 425-429. Department of Education, Mathematics 3: Teachers Guide: s.n., 2015, 250-253. Department of Education, Mathematics 3: Learners Material: s.n., 2015, 227-234.
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