School: GRADES 1 to 12 DAILY LESSON LOG Teacher: E.B. MAGALONA ELEMENTARY SCHOOL Marlyn N. Reyes Grade Level: Learning Area: Teaching Dates and Time: MONDAY I. OBJECTIVES A. Content Standards B. Performance Standards C. Learning Competencies/Objectives Write for the LC code for each II. CONTENT III. LEARNING RESOURCES A. References 1. Teacher’s Guide pages 2. Learner’s Materials pages 3. Textbook pages 4. Additional Materials from Learning Resource (LR) portal B. Other Learning Resources IV. PROCEDURES Quarter: TUESDAY WEDNESDAY THURSDAY V MATHEMATICS 1ST QUARTER FRIDAY Demonstrates understanding of divisibility, order of operations, factors and multiples, and the four fundamental operations involving fractions The learner 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 2, 5, uses divisibility rules for 2,5, uses divisibility rules for 3, uses divisibility rules for and 10 to find the common and 10 to find the common 6, and 9 to find 3, 6, and 9 to find factors of numbers. factors of numbers. common factors. common factors. M5NS-Ib-58.1 M5NS-Ib-58.1 M5NS-Ib-58.2 M5NS-Ib-58.2 using divisibility rules for 2, 5, and 10 to find the common factors of numbers. using divisibility rules for 3, 6, and 9 to find common factors. using divisibility rules for 3, 6, and 9 to find common factors. using divisibility rules for 3, 6, and 9 to find common factors. What’s In Directions: Identify whether the given number is divisible by 2, 5 or 10. Do this in your answer sheet. Number 1 is done for you. 2 1) 18 _____2) 125 _____3) 30 _____4) 344 _____5) 650 What’s New Divisibility Rules for 2, 5, and 10 When is a number divisible by 2? A number is divisible by 2 if it is even, or ends in 0, 2, 4, 6 or 8. Why is 20 is divisible by 2? 20 is an even number because it ends in 0. So, 20 is divisible by 2. What’s More Identify mentally whether or not each larger number is divisible by the smaller number. Write “Yes” if the number is divisible, and “No” if it is not. Write your answer on a separate sheet of paper. What’s In Directions: Determine whether the first number is divisible by thesecond number. Write Yes if it is divisible, and No if it is not. Examples are given below. You may answer this in your activity notebook. 1) Is 130 divisible by 2? 6) Is 405 divisible by 10? 2) Is 326 divisible by 5? 7) Is 415 divisible by 5? 3) Is 124 divisible by 2? 8) Is 660 divisible by 10? 4) Is 405 divisible by 5? 9) Is 212 divisible by 5? 5) Is 567 divisible by 2? 10) Is 470 divisible by 10? Examples: 12; 6 12 ÷ 6 = 2 Yes Use the divisibility rules for 2, 5 and 10 to list down all the factors of each pair of numbers. Then, encircle the common factors. Use a separate sheet to do this. 1) 15 and 45 3) 50 and 80 5) 54 and 60 2) 26 and 18 4) 32 and 12 12; 5 12 ÷ 5 = 2.4 No 1) 41; 2 _____________ 2) 550; 5 _____________ 3) 1256; 10 _____________ 4) 8910; 10 _____________ 5) 348; 2 _____________ What’s New Divisibility Rules for 3, 6, and 9 A number is divisible by another number if there is no remainder. Find out why the given What’s More Directions: Identify mentally whether or not each larger number is divisible by the smaller number. Write “Yes” if the number is divisible, and “No” if it is not. Write your answer on a separate sheet of paper. 1) Is 213 divisible by 3? 6) Is 918 divisible by 9? 2) Is 519 divisible by 6? 7) Is 718 divisible by 6? 3) Is 137 divisible by 3? 8) Is 849 divisible by 9? 4) Is 504 divisible by 6? 9) Is 354 divisible by 6? 5) Is 369 divisible by 3? 10) Is 9864 divisible by 9? What I Have Learned In finding the common factors of numbers divisible by 3, 6, and 9, we can use the following divisibility rules: Let us check. a) A number is divisible by 3 if the sum of all the digits is divisible by ___. b) A number is divisible by ___if the number is divisible by both 2 and 3. Knowing the divisibility rules for 2, 5, and 10 will help you find the factors of a number just by examining its ones digit. What I Can Do Do the task below as indicated. Directions: Using the divisibility rules for 2, 5, and 10, fill in the missing factors. What Is It How do we know if a number is divisible by 2, 5 or 10? Then, find the common factors. Divisibility Rule for 2 A number is divisible by 2 if the ones digit of the number is 0, 2, 4, 6 or 8. Example 1: 436 is divisible by 2 because its ones digit is 6. Divisibility Rule for 5 A number is divisible by 5 if the ones digit of the number is 0 or 5. Example 2: 225 is divisible by 5 because its ones digit is 5. Divisibility Rule for 10 A number is divisible by 10 if the ones digit of the number is 0. Example 3: 720 is divisible by 10 because the ones digit is 0. Now, using the divisibility rules for 2, 5 and 10, let a) 30 : 1, 2, 3, __, __,10,15,30 20 : 1, 2, 4, __, __, 20 Common Factors: __________ b) 36 : 1, 2, 3, __,6, __, __, 18, 36 12 : 1, 2, 3, __, __, 12 Common Factors: __________ e) 54 : 1, 2, 3, __, __, __, 27, 54 42 : 1, 2, 3, 6, __, __, 21, __ Common Factors: _________ Evaluation Directions: Choose the letter of the correct answer. Write your answer on a separate numbers are divisible by 3, 6 or 9. Knowing the divisibility rules for 3, 6 and 9 will help you find the factors of a number just by examining the sum of all its digits. What Is It How do we know if a number is divisible by 3, 6 or 9? Here is how: Divisibility Rule for 3 A number is divisible by 3 if the sum of all its digits is divisible by 3. Example 1: 540 is divisible by 3 because 5 + 4 + 0 = 9, and 9 is divisible by 3. To check, 540 divided by 3 is 180. Divisibility Rule for 6 A number is divisible by 6 if the number is divisible by both 2 and 3. Example 2: 822 is an c) A number is divisible by 9 if the _____ of all the digits is divisible or a multiple of 9. d) If the sum of the digits of a number is 153, by what number/s is it divisible with? _______ e) What smallest 3-digit number is divisible by both 3 and 6? ______ What I Can Do Directions: Use the divisibility rules for 3, 6, and 9 to help you solve the following problem. Write your answer in the journal notebook. Q1. When is a number divisible by 3, 6, and 9? Evaluation Directions: Choose the letter of the correct answer. Write your answer on a separate sheet of paper. 1) Which of the following numbers is divisible by 3? A. 124 C. 347 B. 342 us find the common factors of 20 and 40. Factors of 20: 20 ÷ 1 = 20 20 ÷ 2 = 10 (20 is divisible by 2 because it is even.) 20 ÷ 5 = 4 (20 is divisible by 5 because it ends in 0.) Therefore, the factors of 20 are 1, 2, 4, 5, 10, and 20. Factors of 40: 40 ÷ 1 = 40 40 ÷ 2 = 20 (40 is divisible by 2 because it is even.) 40 ÷ 5 = 8 (40 is divisible by 5 because it ends in 0.) 40 ÷10 = 4 (40 is divisible by 10 because it ends in 0.) Therefore, the factors of 40 are 1, 2, 4, 5, 8, 10, 20, and 40. Listing these factors, we have: sheet of paper. 1) Which of the following is the set of common factors of 48 and 60? A. 1, 2, 3, 4, 6, 12 C. 1, 2, 3, 4, 6, 8 B. 1, 2, 3, 4, 8, 12 D. 1, 2, 4, 6, 12 2) 1, 2, 5, and 10 are the common factors of ____ A. 20 and 25 C. 25 and 30 B. 20 and 30 D. 15 and 25 3) One of the following is NOT a factor of 32? A. 2 C. 6 B. 4 D. 8 4) Which of the numbers below is divisible by both 5 and 10? A. 75 C. 235 B. 105 D. 540 5) 124 is divisible by _____. A. 2 C. 6 B. 5 D. 10 even number, hence it is divisible by 2. Likewise, 822 is divisible by 3 because 8 + 2 + 2 = 12, and 12 is divisible by 3. Therefore, 822 is divisible by 6 since it is divisible by both 2 and 3. D. 671 Divisibility Rule for 9 A number is divisible by 9 if the sum of all its digits is divisible by 9 or a multiple of 9. 3) What is the common factor of 12 and 9? A. 1, 3 C. 1,9 B. 1, 6 D. 1, 12 Example 3: 8253 is divisible by 9 because 8 + 2 + 5 + 3 = 18, and 18 is divisible or a multiple of 9. Now, using the divisibility rules for 3, 6 and 9, let us find the common factors of 36 and 54. STEP 1: Let us try if 36 and 54 are both divisible by 3, 6, and 9. Divisible by 3; 3+6=9 9 is a multiple of 3. Therefore, 36 is divisible by 3. 5+4=9 9 is a multiple of 3. 2) Which of the numbers below is divisible by both 3 and 6? A. 28 C. 67 B. 48 D. 93 4) Which set is the common factor of 99 and 135? A. 3 and 6 C. 6 and 9 B. 3 and 9 D. 6 and 128 5) 3, 6, and 9 are factors of______. A. 33 C. 54 B. 42 D. 64 Factors of 20: 1, 2, 4, 5, 10, 20 Factors of 40: 1, 2, 4, 5, 8, 10, 20, 40 Therefore, the common factors of 20 and 40 are 1, 2, 4, 5, 10, and 20. Therefore, 54 is divisible by 3. Divisible by 6; 36 and 54 are even numbers. Therefore, 36 and 54 are both divisible by 2. The sums of the digits of 36 and 54 are multiples of 3. So, both are divisible by 3. Therefore, 36 and 54 are both divisible by 6. Divisible by 9; 3+6=9 9 is a multiple of 9. Therefore, 36 is divisible by 9. 5 +4 = 9 9 is a multiple of 9. Therefore, 54 is divisible by 9. STEP 2: Get the factors of 36 and 54. To get the factors of 36, divide 36 by 3, 6, and 9. The divisor, quotient, 1, and the number itself are the factors. 36 ÷ 3 = 12 36 ÷ 6 = 6 36 ÷ 9 = 4 So, the factors of 36 are 1, 3, 4, 6, 9, 12, and 36. To get the factors of 54, divide 54 by 3, 6, and 9. The divisor, quotient, 1, and the number itself are the factors. 54 ÷ 3 = 18 54 ÷ 6 = 9 54 ÷ 9 = 6 So, the factors of 54 are 1, 3, 6, 9, 18, and 54. Therefore, we have: Factors of 36: 1, 3, 4, 6, 9, 12, 36 Factors of 54: 1, 3, 6, 9, 18, 54, The common Factors of 36 and 54 are 1, 3, 6, and 9. V. REMARKS VI. REFLECTION A. No. of learners who earned 80% in the evaluation. B. No. of learners who require additional activities for remediation who scored below 80%. C. Did the remedial lessons work? No. of learners who have caught up with the lesson. D. No. of learners who continue to require remediation. E. Which of my teaching strategies worked well? Why did these work? F. What difficulties did I encounter which my principal or supervisor can help me solve? G. What innovation or localized materials did I use./discover which I wish to share with other teachers?
