grade-7 (1).docx
- 1. Detailed Lesson Plan in Math (Grade 7) I. OBJECTIVES Learning Competencies/ Objectives MELC: Identify the Set operations Describe and illustrate: a. Sets; Union of sets Intersection of sets Complement of a set Difference between sets/Relative Complement 2. Perform the different set operations. 3. Use Venn diagrams to represent the union and intersection of sets. II. CONTENT Identifying Sets and use Venn diagrams III. LEARNING RESOURCES A. References Department of Education Mathematics –Grade 7 Learner’s Material First Edition, 2013 ISBN: 978-971-9990-60-4 Quarter 1. B. Learning Code C. Instructional Materials Cartolina, Manila paper, marker IV. PROCEDURES Teacher’s Activity A. Preparatory Activities Prayer May I request everybody to please stand. Diane, kindly lead the prayer. Greetings Good morning, class! How are you today? Checking of Attendance Who are absent today? Class Secretary, please list down the names of those students who are absent today. Give it to me after the class. Setting of Standards Student’s Activity Let us bow down are heads and pray: Father God, Come be with us today. Fill our hearts with joy. Fill our minds with learning. Fill our classroom with peace. Fill our lesson with fun. Fill our friendships with kindness. Fill our school with love. These we ask in Jesus’ Name we pray, Amen. Good morning, Sir We are fine, sir Yes, Sir
- 2. Class, before we start, pick up pieces of papers and cellophanes . Arrange your chairs and sit properly. This time I also want you to be acquainted with our classroom rules. 1. Keep quiet unless you are asked to speak. 2. Do not do unnecessary things that might distract the class. 3. Respect each other. 4. Actively participate in the class. Am I understood class? Yes Sir A. Reviewing previous lessonor presenting the new lesson As we all know that this is our first discussion in our first quarter, So, before we proceed to our first discussion lets have an activity. Who would like an activity? Are you excited class? C. Motivation Now, we will start our new lesson with a game. You will be grouped into two. Choose one representative from your group to take part in our game “Buzzerbeater” Thisgame is like afamilyfeud I will divideyou intotwogroups. Group 1 ison the right side andgroup 2 is on the leftside . points 10 points 20 points 30 points 50 points rules No coachin g Silence of the team The answer of the group Total points The mechanicsof thisgame whoeverpopup first the balloonhave chance to answerthe showed picture fromthe box.Afteryouanswered,youhave to put the picture onthe boardof where itbelongs whetheritisherbivores,carnivoresoraomnivoresif isright.If youhave the wronganswer, the teamhas a chance to answerthe picture thatwas showed. The rubrics of thisis no coaching,onlythe rightful personhasthe rightto answer whoevercaught has a minuspoints. Us Sir, Yes, Sir
- 3. No coaching-10points Silence of the team-20points The answerof the group-20 points Total-50 points A group that have a lotof pointshasa rewardof gettinga additional 20pointsonthe quizandalso the chocolate that I Bringtoday. Below are some objects. Carnivores Carnivores Herbivores Herbivores Herbivores
- 5. Since the group one got the highest score, let us give them a “Congratulations clap”. Now class, look at the pictures and the answers Carnivores Omnivores Herbivores 1 2 3! 1 2 3! Very Good! I have observed that these pictures only shows the group of animals that belong to its eating habit of food.
- 6. we’ve got. What have you observed on these? Yes Glenn? That is a great observation, Glenn. Who else would like to share his/her own observation? Yes, Radel? That is right, ?These photos are indeed belong to its natural of eating food and they were classified of where they are belong to whether they are belong to omnivores, herbivores and carnivores. Yes, Sir! Observe that the animals are divided into 3 the omnivores,herbivores and the carnivores B. Establishing a purpose for the lesson Presentation of Learning Objectives Be active and participative for in this topic you are going to, everybody, please read. Describe and illustrate: 1. Sets; a. universal set; b. union of sets, and; c. intersection of sets. 2. Perform the different set operations. 3. Use Venn diagrams to represent the union and intersection of sets. C. Presenting examples/instances of the new lesson Unlocking of Difficulties In connection to the game we had a while ago, let us answer this activity But before we proceed to our discussion please answer the following set of operation of where it belong. And match the following . A. B. 1. Place a. (rose,sampaguita) 2.Animals b. (Davao,Tagum,Butuan) 3. Flowers c.( lion,dog,cat,rabbit) a c. a
- 7. 4.Planet d.(mercury,earth) d. D. Discussing new concepts and practicing new skills #1 F. Presentation of the Discussion Set operations - is a concept similar to fundamental operations on numbers. Sets in math deal with a finite collection of objects, be it numbers, alphabets, or any real-world objects. Sometimes a necessity arises wherein we need to establish the relationship between two or more sets. A set is defined as a collection of objects. Each object inside a set is called an 'Element'. A set can be represented in three forms. They are statement form, roster form, and set builder notation. Set operations are the operations that are applied on two or more sets to develop a relationship between them. There are four main kind s of set operations which are as follows. Union of sets Intersection of sets Complement of a set Difference between sets/Relative Complement Venn Diagram Basic Set Operations Union of Sets For two given sets A and B, A∪B (read as A union B) is the set of distinct elements that belong to set A and set B or both. The number of elements in A ∪ B is given by n(A∪B) = n(A) + n(B) − n(A∩B), where n(X) is the number of elements in set X. To understand this set operation of the union of sets better, let us consider an example: If A = {1, 2, 3, 4} and B = {4, 5, 6, 7}, then the union of A and B is given by A ∪ B = {1, 2, 3, 4, 5, 6, 7}. Intersection of Sets For two given sets A and B, A∩B (read as A intersection B) is the set of common elements that belong to set A and B. The number of elements in A∩B is given by n(A∩B) = n(A)+n(B)−n(A∪B), where n(X) vv A B U
- 8. is the number of elements in set X. To understand this set operation of the intersection of sets better, let us consider an example: If A = {1, 2, 3, 4} and B = {3, 4, 5, 7}, then the intersection of A and B is given by A ∩ B = {3, 4}. Set Difference The set operation difference between sets implies subtracting the elements from a set which is similar to the concept of the difference between numbers. The difference between sets A and set B denoted as A − B lists all the elements that are in set A but not in set B. To understand this set operation of set difference better, let us consider an example: If A = {1, 2, 3, 4} and B = {3, 4, 5, 7}, then the difference between sets A and B is given by A - B = {1, 2}. Complement of Sets The complement of a set A denoted as A′ or Ac (read as A complement) is defined as the set of all the elements in the given universal set(U) that are not present in set A. To understand this set operation of complement of sets better, let us consider an example: If U = {1, 2, 3, 4, 5, 6, 7, 8, 9} and A = {1, 2, 3, 4}, then the complement of set A is given by A' = {5, 6, 7, 8, 9}. When the elements of one set B completely lie in the other set A, then B is said to be a proper subset of A. When two sets have no elements in common, then they are said to be disjoint sets. Now, let
- 9. us explore the properties of the set operations. G. Comprehension Check-up What is the set operations all about, class? That is right! Let us answer the questions posed in the opening activity. 1.How many sets are there? 2.Does each object belong to a set? 3.Is there an object that belongs to more than one set? Which ones are these? Very Good! Set operations is a concept similar to fundamental operations on numbers. Sets in math deal with a finite collection of objects, be it numbers, alphabets, or any real-world objects. Sometimes a necessity arises wherein we need to establish the relationship between two or more sets. There is the set of animals which is carnivores, herbivores and omnivores. Yes All the Animals are classified were belong to the respective set of carnivores , herbivores and omnivores. E. Discussing new concepts and practicing new skills #2 Now class, I want you to carefully observe the set of operations and its example. What did you observe Yes, Alcano? As I have observed Sir I see that the set was consist of elements just like what you give example earlier.
- 10. Very good observation, Alcano! Indeed, is a well-defined group of objects, called elements that share a common characteristic . Can you give an example of sets that consist of an elements. Yes Ramon? Very Good Ramon. Who can give another example? Yes Poye? Very good ! Okay I’ll give an example on the board and identify the Union and Intersection sets U= {lion, cat dog,tiger,rabbit, horse,cow,carabao,hen, zebra, } A={lion, tiger, dog,cat, ,hen} B={dog, hen,rabbit,horse ,zebra} 1.AUB= Very good! 2 A∩B= Very Good! How we draw this into a Venn Diagram Example Sir is a Set of School Supplies with elements of pencil, paper, notebooks and pen. A set of Birds Sir with the elements of eagle, crow and falcon. AUB={lion,tiger,dog,cat,zebra,he n,rabbit,horse,zebra) A∩B={ hen,dog} vv B A U lion, tiger, dog,cat, , hen dog, hen,rabbit, horse ,zebra, , hen dog, hen
- 11. F. Developing Mastery From the our discussion who can give an example of Sets. Yes? Okay thank you? Who can answer that example by getting the union of sets and intersection of sets? Yes? Very Good! Let’s give hands to Ramon and Glenn. Very good,! You’ve the correct answer Very well s! Let’s give ourselves a round of applause everyone! Example Sir is A={1,2,4,5} B={1,2,3,5,6} AUB={1,2,3,4,5,6} A∩B={1,2,5) G. Practical Application of Concepts Now, let us have another activity Same group. Instruction: Answer the following by getting the Union of sets and Intersection of set and make a Venn diagram A={ 1,2,4,5,6,7,8} B={2,3,4,5,6,8} C={3,5,6,7,9} 1.AUB= 2. A∩C= 3.AUC= 4.AUBUC= 5.A∩B∩C= Standard: Participation=10 Teamwork=20
- 12. Collaboration=20 TOTAL= 50 H. Making generalizations and abstractions about the lesson Generalization What did you learn about Set of Operation? Yes Ramon? That’s right, Ramon. What else? Yes Joshua? Very good! Indeed. What you said is true. You see a set of operations is Set operations is a concept similar to fundamental operations on numbers. Sets in math deal with a finite collection of objects, be it numbers, alphabets, or any real-world objects. Sometimes a necessity arises wherein we need to establish the relationship between two or more sets. In connected of what you said in real life situation. It is factual that us an element we want to go to a set of people who are good influence, or a group we can be us, or a group where we can express ourselves or a group of people who are ambitious. But most important thing is we have the control to our life and must think what kind of set of group we would like to go that has a good potential to help us to achieve our dreams for the future. Set operations is a concept similar to fundamental operations on numbers. Sets in math deal with a finite collection of objects, be it numbers, alphabets, or any real-world objects. Sometimesa necessity arises wherein we need to establish the relationshipbetween two or more sets. For me Sir. Is like a set is a group of elements that has same characteristics. Just like us we want to be in a group of friend with the same common interest and habits or we want to be in the where we could share and accepted. Yes Sir.
- 13. Understood class! I. Evaluating learning Instruction: Answer the following by getting the Union of sets and Intersection of set and make a Venn diagram Let the universe be the set U={1,2,3 ,4,5,6,7,8,9}. Let A = {0, 1, 2, 3, 4} B = {0, 2, 4, 6, 8} C = {1, 3, 5, 7, 9} 1.AUB= 2.A∩B= 3.AUC= 4.A∩C= 5. AUBUC= Ans : 1. {0,1,2,3,4,6,8} 2. {0,2,3,4} 3. {0,1,2,3,4,5,7,9} 4. {1,3,} 5. {0,1,2,3,4,5,6,7,8,9} V. ASSIGNMENT Directions: Make an example of sets of operation using the Union of sets and intersection of Sets. Make a Venn diagram about it. Prepared by: Armando C. Licanda 0, 1, 2, 3, 4 U A B C 0, 2, 4, 6, 8 1, 3, 5, 7, 9 1,3 0,2,3,4