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SAN LUIS LUMAD COMMUNITY HIGH SCHOOL INC. Poblacion, San Luis, Agusan del Sur Government Recognition No. 013, S. 2000 Dep.Ed School ID # 405947 MODULE 1 Lesson 1.2 Part 3: Union and Intersection of Set MATHEMATICS I Phase 1/Grade 7 First Quarter Prepared by: Ms. Sarah C. Agunat Together with: Sr. Irene S. Caharian,m.a. Ms. Mawalik Vina Bugtay ____________________ Name of the Student 1|Page TABLE OF CONTENTS I. Student’s Guide II. Introduction ____________________________4 III. Objectives ____________________________4 IV. Lesson and Activities Activity 1 ________________________3 ____________________________4 Discussion: Activity 2 _________________ 4-5 Input/ Lesson Proper __________________5-6 Activity 3 _________________ 6 Deepening ________________ 6 Synthesis: Activity 4 _________________ 7 Activity 5 __________________ 7 V. References ________________________ 7 VI. ASSESSMWNT _____________________________ 8 2|Page STUDENT’S GUIDE 1. This module is recommended for 1 week study time. 2. This is a self- paced module, you can accomplish this on your own pace but it is recommended that you spend 30 minutes everyday working on this module. 3. This module has several components. a) Introduction: This contains the overview of the module. b) Learning Objectives: These are the goals of the module which you need to accomplish. They are packaged into skills and knowledge that you need to acquire. c) Activities: This section contains all the lessons and task you need to do for the module. d) Assessment: This contains tasks and/ or tests to measure your learning. e) Reflection: To evaluate your learning process, you will be asked to reflect on your learning process. f) Bibliography/ References: This section contains the resources used on this module. 4. You may contact your subject teacher or school principal for this module from Monday to Friday (8:30 -11:30 a.m.; 1:30-4:30 p.m.) Contact Details: 09503684756 ; 09330613937 3|Page LESSON 1.2 ║ Part 3: Union and Intersection of Set INTRODUCTION: Each member of the community or tribe is unique. If two or more tribes combine to have big celebrations, it is a union of IP tribes. The last part on the Lesson will show you more what is Union and Intersection of Sets. OBJECTIVES: In this lesson, you are expected to: 1. Recall the sets of languages, tribes, rituals, practices and dances in Part 1 of Lesson 1 ; 2. Identify union and intersection of sets; 3. Illustrate union and intersection of set using Venn diagram; 4. Solve problems involving sets. ACTIVITY 1 Recall what you learn from Part 1 and Part 2 of the Lesson on Sets in the context of IP Communities : Set of IP Language = { IP language } Set A = { Manobo, Talaandig, Banwaon } Set B = { Banwaon, Matigsalug } Set of IP Rituals = { IP Rituals} Set A = { Pangapog, Pamayas, Uyagdok} Set B = { Pamayas, Sugodon} Set of IP practices in Fishing = { IP practices in fishing } Set A = { Limas, Panikop, Panulo } Set B = { Panulo, Panaga } Set of IP dances = {IP Dances } Set A = {Binaylan, Inamo, Kokat, Binanog, Pamuhag, Dugso } Set B = {Pangayam, Dugso, Buwa-Buwa } DISCUSSION: Activity 2 What have you notice of each group of sets? 4|Page ______________________________________________________________ ______________________________________________________________ Is it possible to combine Set of IP Language and Rituals? What about IP practices in Fishing and Dances? ________________________________________________________ ________________________________________________________ Do you have an idea what is Union and Intersection Set ? ________________________________________________________ ________________________________________________________ INPUT/Lesson Proper: What is Union set? The UNION of two sets is the set of elements which are in either set. The union is written as A∪ B or “A or B”. Example 1: Let U = {IP Language in IP Communities}. Find the UNION of A and B? A = {Manobo, Banwaon, Talaandig} B = {Banwaon, Matigsalug} Now find the UNION of A and B Answer : A U B = {Manobo, Banwaon, Talaandig, Matigsalug} Note : no need to list Banwaon twice Example 2: Let U = {IP Rituals in IP Communities}. Find the UNION of A and B? A ={Pangapog, Pamayas, Uyagdok} B = {Uyagdok, Sugodon} Answer : A U B = ={ Pangapog, Pamayas, Uyagdok, Sugodon} Note : no need to list Uyagdok twice Example 3 : Let A = {1, 2, 3} and let B = {3, 4, 5}. Find the UNION of A and B? Answer: A ∪ B = {1, 2, 3, 4, 5} . Note : no need to list the 3 twice. 5|Page What is Intersection set? The INTERSECTION of two sets is the set of elements which are in both sets. The symbol for denoting intersection of sets is '∩'. Example 1 : Let A = {Panubli,Pangigaw,Panglagtang} and B = {Pamana,Bidjo,Panubli} The INTERSECTION of A and B, written A ∩ B = {Panubli}. Example 2: Let A = {1, 2, 3} and B = {3, 4, 5}. The INTERSECTION of A and B, written A ∩ B = {3}. Activity 3 Practice: A.) Let A= {a, b, c, d} and let B = {c, d, e, f, g} List the elements of the following sets. 1. (A union B) A ∪ B = ________________ 2. (A intersection B) A ∩ B = _______________ B.) Let A= {Limas, Panikop, Panulo} and let B = {Panulo, Panaga} List the elements of the following sets. 1. (A union B) A ∪ B = ________________ 2. (A intersection B) A ∩ B = _______________ DEEPENING: Each element in a Set is unique(talagsaon, walang kapareha). That is why every set of IP language, rituals, dances and practices are unique. How about you? Are you unique? 6|Page SYNTHESIS: Activity 4 Problem #1 : Let X, Y and Z be three sets such that: Set X= { Binanog, Pangayam, Kokat } Set Y= { Binaylan, Kokat, Pamuhag, Dugso} Set Z = { Buwa-Buwa, Inamo, Binaylan, Binanog} Find: 1. X ∪ Y =_________________________ 2. X ∩ Y = _________________________ 3. Y ∩ Z = _________________________ 4. X ∪ Z = _________________________ 5. Y ∪ Z = _________________________ Problem #2 : Set A = {2, 4, 6, 8, 10, 12}, set B = {3, 6, 9, 12, 15} and set C = {1, 4, 7, 10, 13, 16}. Find: 1. A ∪ B =_________________________ 2. A ∩ B = _________________________ 3. B ∩ C = ________________________ 4. A ∪ C = _________________________ 4. B ∪ C = _________________________ 5. Activity 5 Learnings and Insights ! Do you think your tribe or community is unique? Why? ___________________________________________________________________ ___________________________________________________________________ ___________________________________________________________________ REFERENCES: Orance, Orlando and Mendoza, Marilyn. RBS Mathematics Series E-Math I . Sampaloc,Manila:Rex Bookstore, Inc.,2010. Student’s Guide/Gabay sa Mag-aaral: Kaagapay Teacher Support webinar www.youtube.com/c/ FrancoNicoloAddun https://www.mathgoodies.com https://www.mathsisfun.com/sets/sets-introduction.html https://www.toppr.com/guides/maths/sets/introduction-to-sets 7|Page SAN LUIS LUMAD COMMUNITY HIGH SCHOOL INC. Poblacion, San Luis, Agusan del Sur Government Recognition No. 013, S. 2000 Dep.Ed School ID # 405947 ASSESSMENT #3 -Lesson 3 (First Grading) Name: _________________________________________________ Date: _______ Phase: _________________ Score:_______ 1. State whether the following are true or false: a. If A = {5, 6, 7} and B = {6, 8, 10, 12}; then A ∪ B = {5, 6, 7, 8, 10, 12}. b. If P = {a, b, c} and Q = {b, c, d}; then p intersection Q = {b, c}. c. Union of two sets is the set of elements which are common to both the sets. 2. Let A, B and C be three sets such that: Set A = {2, 4, 6, 8, 10, 12}, set B = {3, 6, 9, 12, 15} and set C = {1, 4, 7, 10, 13, 16}. Find: a. A ∪ B b. A ∩ B d. B ∪ A c. B ∩ A e. B ∪ C 3. If A = {1, 3, 7, 9, 10}, B = {2, 5, 7, 8, 9, 10}, C = {0, 1, 3, 10}, D = {2, 4, 6, 8, 10}, E = {negative natural numbers} and F = {0} Find: a. A ∪ B c. C ∪ F b. E ∪ D d. C ∪ D e. B ∪ F 4. If A = {2, 3, 4, 5}, B = {c, d, e, f} and C = {4, 5, 6, 7}; Find: a. A ∪ B b. A ∪ C c. (A ∪ B) ∩ (A ∪ C) Signed by: ___________________ Parents/Guardians 8|Page