Mt. Carmel College of San Francisco, Inc. THE CATHOLIC COLLEGE OF THE PHILIPPINES 8501, San Francisco, Agusan del Sur, Philippines Carmelian Education: Wisdom in the Light of Faith lived in Love DETAILED LESSON PLAN IN MATH 5 Practice Teacher Teaching Date and Time Cooperating Teacher Dagohoy, John Vincent T. Grade Level Learning Area Quarter Grade 5 Mathematics 1 I. OBJECTIVES A. Content Standards demonstrates understanding of divisibility, order of operations, factors and multiples, and the four fundamental operations involving fractions B. Performance Standard C. Learning Competency with Code D. Specific Learning Objectives is able to apply divisibility, order of operations, factors and multiples, and the four fundamental operations involving fractions in mathematical problems and real-life situations. uses divisibility rules for 3, 6, and 9 to find common factors. M5NS-Ib-58.2 At the end of the lesson 80 percent of the pupils are expected to; a. Identify the numbers that are divisible by 6; b. Perform long division of whole numbers using the divisibility rules 6; and c. Value the importance of finding divisibility numbers. II. CONTENT A. Subject “Uses divisibility rules for 6 to find common factors.” Matter B. Approach/ 7E’s Strategies C. Lesson ESP savings, sharing Integration III. LEARNING RESOURCES A. References 1. Teacher’s Guide 2. Textbook 3. Additional Math Curriculum Guide Materials from Learning Resource (LR) Portal IV. LEARNING laptop, smart tv, pentel pen, manila paper MATERIALS V. PROCEDURES TEACHER’S ACTIVITY A. Preliminaries Preliminary Activities: 1. Prayer To start our day, kindly all stand and let us have a prayer first. Lead the prayer_______ STUDENTS ACTIVITY In the name of the Father, the Son, and the Holy Spirit. Amen 2. Greetings Good morning, class! How are you today? Good morning teacher! Awesome that you all are well today! Before you take your seats kindly pick some paper under We’re good teacher your chair and arrange your chair as well. 3. Checking of Attendance To check your attendance, please say present if your Yes! Teacher name is called. 4. Presenting the Classroom Standards Before we begin our lesson, let us recall what to do during classes. I have here balloons, it contains of the classroom rules during our discussion. Now, all you have to do is to pop the balloon using your butt and read the words written in the paper. (Present) Classroom Rules: The 5 P’s Be positive Be prepared Be prepared Be Be prepared productive Be punctual Be participative A good student should follow these rules. B. Reviewing Previous Lesson or Presenting the New Lesson Preparatory Activities: 1. Review Before we begin to our lesson, can anyone recall our topic last meeting? Okay, very good! How do we find if the number is divisible by 3? Try to solve this. 23,556 Be prepared Be positive Be productive Be punctual Be participative It is all about divisibility rule of 3 teacher A number is divisible by 3, if the sum of all digits is divisible by 3. 2+3+5+5+6= 21 ÷ Very good! You have learned our lesson last meeting. 2. Presentation of the Lesson 21 3 7 – therefore 23,556 is divisible by 3. Now let’s move on to our new lesson, uses divisibility rules for 6 to find common factors. C. Establishing a Purpose for the Lesson/Motiv ation/Motive Questions 3. Presentation of Learning Target Our learning competency is to use divisibility rules for 3, 6, and 9 to find common factors. At the end of the lesson, you are expected to achieve the following objectives. Kindly read them. (Each learning outcome will be read in an “I can” perspective.) 1. Identify the numbers that are divisible by 6; 2. Perform long division of whole numbers using the divisibility rules 6; and 3. Appreciate the importance of finding divisibility numbers. 4. Motivation Look at the picture class. (show picture of piggy bank) What did you observe? Who among you here have a piggy bank? Did you share your piggy bank with your siblings? Why having piggy bank is important? Why is savings important? Savings is important so that if you have financial problem you have a money aid on that matters. Now children, we should save money. Is that clear? D. Presenting Examples or Instances of the New Lesson It is a piggy bank teacher. Me teacher. Yes teacher. For Savings Savings is important teacher so that if you are in need you can use your savings. Yes teacher. ELICIT The 6 siblings had a joint savings in their piggy bank. They decided to open it so that they can buy their favorite things at the mall. When they open it, the 6 siblings are happy knowing that they had ₱14,916 inside. Is the money they have can be divided to 6 siblings evenly? ENGAGE Questions related to the story: Who among you here had a piggy bank like the six siblings? Did you share with your siblings also just like the 6 siblings in our short story? In the story, is the savings of the 6 siblings can be divided evenly? Please everyone, solve it within 5 mins. 5 mins are now over class. May I call on Analou to come here in front and show her answer in the board. Me teacher. Yes teacher. (the pupil solves it) Is Analou correct class? Very good Analou, let us give 10 claps to Analou. E. Discussing New Concepts and Practicing New Skills #1 14,916 ÷ 6 2,486 - it can be divided evenly teacher. Yes teacher. (the pupils do 10 claps) EXPLORE Let’s try it! I have a game for us class. The name of the game is called “Pen-Paper Showdown”. Please prepare a paper and pen and try to solve what I say. Then, if you agree on what I say raise your paper. If you don’t agree, raise your pen. Did you understand class? 42 is divisible by 2. Agree or disagree? Anybody can tell how did you come up with your answer? Another, 42 is divisible by 3? Agree or disagree? How did you come up with your answer? Another, 42 is divisible by 5. Agree or disagree? How did you come up with your answer? Another. 42 is divisible by 10. Agree or disagree? How did you come up with your answer? Let’s look at the result. Yes teacher. (the pupils raising their paper) Yes teacher, because it is even number. All even numbers are divisible by 2. (the pupils raising their paper) 4+2=6 6 can be divided by 3 (the pupils raising their pen) The number given does not end with 5 or 0. (the pupils raising their pen) The number given does not ends with zero. 42÷2 42÷3 42÷5 X 42÷10 X What did you observe. Let us check if it is divisible by 6. 42 is divisible by 6. Agree or disagree? 42 can be divided by 2 and 3 but not in 5 and 10. (the pupils raising their paper) 42 ÷ 6 F. Discussing New Concepts and Practicing New Skills #2 The number is divisible by 2, 3 and 6. EXPLAIN Let us try another number. 28 is divisible by 2. Agree or disagree? 28 is divisible by 3. Agree or disagree? 28 is divisible by 5. Agree or disagree? (the pupils raising their paper) (the pupils raising their pen) 28 is divisible by 10. Agree or disagree? Let’s look at the result. (the pupils raising their pen) (the pupils raising their pen) 28 ÷ 2 28 ÷ 3 X 28 ÷ 5 X 28 ÷ 10 X What did you observe? Let’s try to divide it by 6. 28 is divisible by 6. Agree or disagree? 28 is divisible by 2 but not divisible by 3,5,10. (the pupils raising their pen) In our 2 given numbers, what did you observe? Very good! Let’s try another one. 60 is divisible by 2. Agree or disagree? 60 is divisible by 3. Agree or disagree? 60 is divisible by 5. Agree or disagree? 60 is divisible by 10. Agree or disagree? Let’s look at the result. On the first number it is divisible by 2 and 3, and then it is divisible by 6. However, on the second number it is only divisible by 2 but not divisible by 3, and then it is not divisible by 6. (the pupils raising their paper) (the pupils raising their pen) (the pupils raising their pen) (the pupils raising their pen) 60 ÷ 2 60 ÷ 3 60 ÷ 5 60 ÷ 10 What did you observe? Let’s try to divide it by 6. 60 is divisible by 6. Agree or disagree? In our 3 given numbers, what did you observe? G. Developing Mastery ELABORATE (carousel and think-pair-share) Now let’s have an activity. This activity is called “Carousel Divisible Duo”. I have pasted five stations with numbers in the corner of the room. I will group you into 5 groups by counting 1-5. The group will be 60 is divisible by 2,3,5,10. (the pupils raising their paper) On the first number, it is divisible by 2 and 3, and then it is divisible by 6. On the second number, it is only divisible by 2 but not divisible by 3, and then it is not divisible by 6. On the third number, it is divisible by 2,3,5, and 10 and yet it is divisible by 6. assigned in every station. Then, in a group you have to do is find a duo. Then, the pair will get one whole sheet of paper, rotate in the station, and solve all the numbers using divisibility rule by 2 and 3 to prove that the number is divisible by 6. In every station you have 3 minutes to answer. I will clap as a signal that you will rotate one station. After all the groups rotate in every station, I will call one duo to show their process, write on the board, and explain their work. Are there any questions related to the activity class? Station 1 57,792 None teacher. Station 2 43, 304 Station 3 8,268 Station 4 32,521 Station 5 19,710 15 minutes starts now. 15 minutes are over class. May I call on the duo of Janice to show their work in station 1 on the board. (The pupils do the activity) Divisible by 2 It is divisible by 2 because it is even number. All even numbers are divisible by 2. Divisible by 3 5+7+7+9+2= 21 21 ÷ 3 7 – it is divisible by 3. Is the duo of Janice correct class? Very good! station 1 is disable by 6. Why? May I call on the duo of Chona to show their work on station 2? Therefore, 57,792 is divisible by 6. Yes teacher. Because it is divisible by 2 and 3 Divisible by 2 It is divisible by 2 because it is even number. All even numbers are divisible by 2. Divisible by 3 4+3+ 3+0+4= 14 Is the duo of Chona correct? 14 ÷ 3 4 r2 - it is not divisible 3 Therefore, 43,304 in not divisible by 6 Very good! station 2 is not divisible by 6. Why? May I call on the duo of Jurille to show their work on station 3? Yes teacher. Because it is not divisible by 3 Divisible by 2 It is divisible by 2 because it is even number. All even numbers are divisible by 2. Is the duo of Jurille right class? Very good! station 3 is divisible by 6. Why? May I call on the duo of Cj to show their work on station 4? Divisible by 3 8+2+6+8= 24 24 ÷ 3 8 – it is divisible by 3 Therefore, 8,268 is divisible by 6. Yes teacher Because it is divisible by 2 and 3. Divisible by 2 It is not divisible by 2 since it is Odd number. Divisible by 3 3+2+5+2+1=13 Is the duo of Cj correct class? Very good! Station 4 is not divisible by 6. Why? Very good! May I call on the duo of AIza to show their work on station 5? 13 ÷ 3 4 r1 – it is not divisible by 3 Therefore, 32,521 is not divisible by 6. Yes teacher Because it is not divisible by 2 and 3. Divisible by 2 It is divisible by 2 because it is even number. All even numbers are divisible by 2. Divisible by 3 1+9+7+1+0= 18 18 ÷ 3 6 – it is divisible by 3 Is the duo of Aiza correct class? Very good! station 5 is divisible by 6. Why? Therefore, 19,710 is divisible by 6. Yes teacher. Because it is divisible by 2 and 3. H. Finding Practical Application of Concepts and Skills in Daily Living I. Making Generalization and Abstraction about the Lesson Now I have questions. Why do knowing the divisibility rules of 6 important? Divisibility rules are really useful for testing whether a number is a multiple of another or to help to check for prime numbers. Very good! How do you use divisibility rules of 6 in real Just like in the short story teacher we can use it in life? knowing if the number can be evenly divided by 6. Very good pupils! What was our lesson today class? It’s about Uses divisibility rules for 6 to find common factors. Okay, how do we know if the number was divisible by 6? If the number is divisible by 2 and 3, then it is divisible by 6. Knowing the divisibility rules of 6 is important in determining if the number is evenly distributed. None teacher. We will be having another activity it is called “Thoughtful Mind Exchange Box”. As you can see, (the pupils do the activity) there is a box in front. All you have to do is to get a piece of paper, write your thoughts about our lesson today and drop your paper inside the box. After 5 minutes, I will call somebody to get a paper to be read in the class. Is there (the students are reading and listening to the any question related to our activity class? different thoughts about the lesson) Okay, five minutes start now. 5 minutes is over class. I will call somebody now. (calling someone) J. Evaluating Learning EVALUATION I. Directions: Complete the table below: Numbers Divisible by 2 ( or X) 1. 10,312 2. 14,814 3. 21,924 4. 11,376 5. 90,098 Divisible by 3 ( or X) Divisible by 6 ( or X) II. Directions: Separate divisible by 6 numbers from not divisible by 6 numbers using the column below. Show your solutions. (Use exit slip) Divisible by 6 numbers 1. 2. 3. 4. 5. 2,891 38,712 54,738 11,736 25,894 Not divisible by 6 numbers K. Additional activities for application or remediation 7. Extend VI. REMARKS Assignment: Directions: Write numbers that are divisible by 6. Use divisibility rules for 6 to confirm if it is divisible by 6. VII. REFLECTION A. No. of learners who earned 80% in the B. C. D. E. F. G. evaluation No. of learners who require additional activities for remediation who scored below 80% Did the remedial lesson work? No. of learners who have caught up with the lesson. No. of learners who continue to require remediation. Which of my teaching strategies worked well? Why did this work? What difficulties did I encounter which my principal or supervisor can help me solve? What innovation or localized material did I use/discover which I wish to share with other teachers? Prepared by: JOHN VINCENT T. DAGOHOY Student Checked and Corrected by: Marle C. Bueno Instructor