Lesson Plan in Mathematics 7 Subject Area: Mathematics Grade Level: 7 Quarter: 2 School Year: 2022-2023 Name of Teacher: Dacel Ann C. Endoma Grade & Section Date Delivered 7-Myrtle 7-Cedar 7- Molave MELC: Performs operations on rational numbers. (M7NSIf-1) I. Objective: Divide fractions (similar, dissimilar and mixed numbers). II. Subject Matter: Dividing Fractions (Similar, Dissimilar and Mixed Numbers) Reference: Mathematics 7 Learner’s Material Math 7 -ADM-Module 6-Final Integration: TLE Value Focus: Precision, Self-Reliance, Rationality III. Procedure: A. Activity 1. Preliminary Activities a. Review Complete it! To sum it up, let us complete the statements. Choose your answer from the box that best completes the statements below. improper numerator division reciprocal multiply simplify 1. To find the product of fraction, we simply multiply the ______________ and multiply the denominators. 2. To find the product of mixed numbers, change them to improper fraction and then ___________. 3. If the given is a mixed fraction, change to __________ fraction and follow the first rule. 2. Activity Proper Fill in Me! Direction: Fill in the blanks/boxes to arrive at the correct answer. 2 2 4 8 1. ÷ = × = 4 3 3 28 5 28 2. 5 ÷ 3 5 = 5 ÷ = 5 × 17 = 17 𝑜𝑟 1 B. Analysis a. How did you find the activity? b. How did you fill in the blanks/boxes with the correct number? c. What operations were used during the activity? d. Can you provide the steps in dividing fractions? What are these? So today we are going to divide fractions (similar, dissimilar and mixed numbers) C. Abstraction Division of fractions a. To divide fractions, multiply the dividend by the multiplicative inverse (reciprocal) of the divisor. b. If the given is a mixed fraction, change to improper fraction and follow the first rule. 1. Find the quotient: 2/3 ÷ 1/2 = (2/3)(2/1) Multiply the dividend to the multiplicative inverse of the divisor = 4/3 or 1 1/3 Change to mixed number. Thus, the quotient is 4/3 or 1 1/3. 2. Find the quotient: 6 2/3 ÷ 1 1/2 = 20/3 ÷ (3/2) Change mixed fraction to improper fraction = (20/3)(2/3) Multiply the dividend to the multiplicative inverse of the divisor = 40/9 or 4 4/9 Change to mixed number. Thus, the quotient is 40/9 or 4 4/9. 3. Consider this situation. A 20-liter tank is to be filled with water by repeatedly pouring from a can which holds 2 1/2 liters. How many times pouring are needed to fill the tank? This calls for a division sentence. 20 ÷ 2 1/2 = 20 ÷ 5/2 Change mixed fraction to improper fraction = 20/1 • 2/5 Multiply the dividend to the multiplicative inverse of the divisor = 20•2 /1•5 Multiply the fractions = 40/5 or 8 Simplify Thus, it requires 8 pouring’s of water to fill the 20-liter tank. D. Application Directions: Divide the following fractions. 2 1 1. ÷2 3 2. 3. 4. 5. 2 3 ÷ 3 4 9 3 ÷ = 11 5 24 1 ÷ = 15 3 2 22 1 11 ÷ 5 = IV. Evaluation Direction: Divide the following fractions. 1. 20 ÷ 2/3 2. 5/50 ÷ 2035 3. 5 3/4 ÷ 6 2/3 4. 5/12 ÷ 3/4 5. 9/16 ÷ 3/4 V. Agreement Direction: Solve the problem. In a Guevarra Family Reunion, ¾ kg of spaghetti was left. If there are 6 families, how much each family can take home equally? Prepared by: DACEL ANN C. ENDOMA Teacher I Checked by: MA. ENREQUITA G. RIVERA Master Teacher II – Mathematics JANET J. PADERNAL Head Teacher II – Mathematics Noted: REBECCA O. BILLONES, PhD School Principal II