lOMoARcPSD|29693341 DLP-MATH 5 (GCF) - dlp Education (Pampanga Colleges Inc.) Studocu is not sponsored or endorsed by any college or university Downloaded by John Jade Miguel (johnjade.miguel@deped.gov.ph) lOMoARcPSD|29693341 Detailed Lesson Plan in Mathematics V I. II. III. Objectives At the end of the lesson, the pupils should be able to: A. Find the common factors and the GCF of 2-4 numbers using continuous division. B. Solve real life problems involving, GCF of 2-3 given numbers. C. Create problems involving GCF of 2-3 given numbers. SUBJECT MATTER A. Topic : Greatest Common Factor B. Materials : Power point Presentation, White board C. Reference : K to 12 Grade 5 Mathematics Book D. Value Focus : Cooperating and Focus on the lesson Procedures TEACHER’S ACTIVITY A. Preparation Prayer STUDENT’S ACTIVITY -In Jesus name we pray, Amen! Greetings -Good morning class. Checking of attendance. -Good morning Ma'am. Who is absent today? Very good. -None teacher. B. Motivation Okay class, before we start our new lesson, I give them two pairs of numbers, ex. 24 and 36 or 15 and 40. Have each learners list all common factors for the given numbers. (The teacher will call one pair of her pupils to answer the given example) Thank you for your cooperation Jane and Ara - Yes maam! -(The pupils will answer the given example) Now, I have a questions what do you think what is the term of the (GCF)? Stephen? Greatest Common Factor Very Good! Let’s all give 3 claps for Stephen C. Presentation Downloaded by John Jade Miguel (johnjade.miguel@deped.gov.ph) lOMoARcPSD|29693341 Now, I give a problem every one will listen carefully! Get ready to listen first and later on I will ask questions. -Yes ma’am. Problem: Dennis has 30 badminton shuttlecocks and 24 rackets. He wants to sell common sized packages containing both shuttlecocks and racquets. What is the greatest number of packages he can sell with no left over shuttlecocks or rackets? (The teacher will give 2 questions and the pupils will have the choices.) Question no.1 What is Asked? Correct! What is the greatest number of packages he can sell with no left over shuttlecocks or rackets? Question no. 2 What is the given facts? -Dennis has 30 badminton shuttlecocks and 24 rackets Correct! Anyone, what strategy can we use to solve this problem? - I think ma’am, he wants to sell common sized packages containing both shuttlecocks and rackets. Very Good! D. Discussion Our topic for today is all about “ The Greatest Common Factor” What is the the greatest common factor? Anyone have an idea? The greatest common factor is the largest factor that the given numbers have in common. Example: The GCF of 8 and 24. Find the greatest common factor (GCF) of 8 and 24. The factors of 8 are 1, 2, 4, and 8. The factors of 24 are 1, 2, 3, 4, 6, 8, 12, and 24. The largest factor that is in both these lists is 8. Alternatively, find the prime factorization of 8 and 24. 8=2×4=2×2×2=23 24=2×12=2×2×6=2×2×2×3=23×3 Downloaded by John Jade Miguel (johnjade.miguel@deped.gov.ph) lOMoARcPSD|29693341 The factors common to both 8 and 24 are 23=8 Did you understand what is the GCF? and how do you find the GCF also? - Yes, ma’am. Ok before we proceed to our activity get your white board I give you an example and answer it and we will check did you understand? - Yes, ma’am. GCF of 12 and 18 Factors of 12: 1,2,3,4,6,12 Factors of 18: 1,2,3,6,9,18 GCF= 6 Very Good Everyone! Give 3 claps to all of you. E. Generalization 1. Closure Actvity Directions: find all factors of both numbers then find the ones that are common to both, then choose the greatest. 9: 1, 3, 9 12: 1, 2, 3, 4, 6, 12 1.9 and 12 1,3 GCF 3 6: 1, 2, 3, 6 18: 1, 2, 3, 6, 9, 18 2.6 and 18 1,2,3,6 GCF 6 2 × 2 × 2 × 3 = 24, 2 × 2 × 3 × 3 × 3 = 108 3.24 and 108 IV. 2 × 2 × 3 = GCF 12 Evaluation DIRECTIONS: Find the greatest common factor of the two numbers shown. 1. 12, 26 2. 30, 40 3. 35, 28 4. 21, 15 5. 33, 15 Answer Key: 1. 12 = 1,2 26 = 1, 2 GCF= 2 2. 30 =1,2,3,5,6, 10 3. 35 = 1,2,4,7 4. 21 = 1,3 40 = 1,2,4,5,8,10 GCF= 10 28 = 1,5,7 GCF = 7 5. 33 = 1,3 15= 1,3 15 = 1,3 GCF= 3 Downloaded by John Jade Miguel (johnjade.miguel@deped.gov.ph) GCF = 3 lOMoARcPSD|29693341 Prepared by: Bea Katrina L. De Guzman Downloaded by John Jade Miguel (johnjade.miguel@deped.gov.ph)
