Liceo De Masbate, Inc. College of Education Lesson Plan in Earth and Science Grade 11 I. Objectives At the end of this lesson, at least 80% of the total number of the learners should be able to demonstrate understanding of the four main concepts under animal reproduction: 1. 2. 3. 4. Justify the different mechanisms of sexual and asexual reproduction. Examine the Mechanisms of Fertilization. Formulate the Factors that affects Successful Reproduction. Differentiate the Journey of Human Embryo. II. Subject Matter A. Learning Outcome Number: 2 B. Topic: Reproduction of Representative Animals C. Lesson Number: 2 D. Transfer Goal: I want my students to learn about Reproduction of Representative Animals so that in the long run, they will be able to design and think logically in understanding. As intelligent Licean, I want my students to solve problems that let them confuse in their everyday life. By that, they will be able to think intelligently, diligently and accurately in different life situation. E. Knowledge Reproduction is one of the key survivals of species – it is a way to continue life, a male and a female organism will mate and produce an offspring. These parent organisms will then pass on genetic information to their offspring, and in the time, their offspring will pass their own genetic information as well. F. Instructional Devices: Big book containing Objectives, Lesson, FA, LA and 6 Facets of Understanding Laptop for educational purposes (Video of Reproduction) G. References Evolution is Aimless; How Do We Explain External Testicle? Genetic Literacy Project, Mat 16, 2019. What is DNA? – Genetic Home Reference – NIH, U.S National Institute of Health, Accessed, July 10, 2020. Linduaer, martin, “natural history.” Encyclopædia britannica. Encyclopædia Britannica, inc., November 12, 2019. III. Procedure A. Routine 1. 2. 3. 4. Greetings CBDS Cleanliness of the classroom Checking of the attendance B. Subject 1. Numerical Enhancement Mental Problem (MP) Directions: Bring out 1/8 sheet of paper. Analyze and solve the given problem mentally. You are given 30 seconds to answer the problem. A running man covers 9 km in 3 hours. How many kilometers can he cover in 4 hours? Answer: The distance covered by the man in 4 hours is 12 km. Problem Solving Activity (PSA) Directions: At the back of your 1/8 sheet of paper. Analyze and solve the given problem carefully. You are given 1 minute to answer the problem. The velocity of a falling body varies directly as the time of flight. If the velocity of a falling body at the end of 2 seconds is 64.4 ft/sec, what is the velocity at the end of 5 seconds? Answer: 161 ft/sec. Basic Skills Directions: Find the value of k. 1. y = 24, x = 3 2. y = 10, x = 2 3. y = 21, x = 7 4. y = 42, x = 6 5. y = 54, x = 9 Answers: 1.) k = 8 2.) k = 5 3.) k = 3 4.) k = 7 5.) k = 6 2. Review The teacher calls a volunteer to answer the problem Directions: Answer the given question. “How do we solve direct variation problem?” Answers: In solving direct variation problem, we will write the correct equation first which is y = kx and then using the information given in the problem we will substitute it in the equation and solve for the value of k. C. Development of the New Lesson 1. Prior Knowledge The teacher asks, “Can you give me any insight about inverse variation?” 2. Motivation The teacher asks, “What do you mostly prefer? Work as a group or work on your own? Why?” 3. Articulation of Purpose, Learning Outcomes and Objectives In life all of us encounter different events. We did our responsibilities and task but some of those works needs to be done faster that is why there’s a time to be in a group and also there’s a time to be solo. The only purpose of it to us, is to become snappy and well prepared. As intelligent FCPCians, you will be able to strive for academic excellence and actualize the value of lifelong learning that is why I do expect that all of you will be able to attain the learning outcome number 2 wherein you will communicate mathematical thinking with coherence and clarity in formulating and analyzing arguments, so that at the end of today’s lesson I do expect that all of you will be able to illustrate situations that involve inverse variation, manifest creativity through working collaboratively for the betterment of own life, and solve real life problems involving inverse variation. 4. Presentation of the New Lesson The teacher will: 1. Give directions and says “Today, we will discuss about inverse variation so I want you to remain focused on me because afterwards all of you will answer the given problem.” 2. Present problem number 1. One dog can finish a sack of dog food in 36 days, 2 dogs can finish the same sack in 18 days, and 3 dogs can finish it in 12 days. 3. Lead the class in solving problem. 4. Present problem number 2. The amount of time required to load all the vegetables into a delivery van varies inversely with the number of workers. If it will take two people 4 hours to load the vegetable, how long will it take 8 people to do the same work? 5. Lead the class in solving problem. 6. Present problem 3. If y varies inversely as x, and y = 12 when x = 4, find k. What is the value of y if x = 6. 7. Lead the class in solving problem. 8. Present problem 4. Suppose y varies inversely as x and y = 4 when x = 6, find y if x = 12. 9. Present the solution in Problem 1. Number of dogs (x) 1 2 3 Number of Days (y) 36 18 12 10. Present the solution in problem 2. Step 1: Identify x and y. Let y = the amount of time required to load the vegetables and x = the number of workers. 𝑦= 𝑘 𝑥 Step 2: Replace y with 4 and x with 2. 𝑘 4= 2 Step 3: Multiply both sides by 2 to get the value of k. (2)4 = 𝑘 (2) 2 8=𝑘 Step 4: Replace k with 8. 𝑦= 8 𝑥 Step 5: Replace x with 8. 8 8 𝑦= = 1 It will take 1 hour for eight people to load the vegetables 11. Present the solution in Problem 3. Step 1: Since y varies inversely as x, we have. 𝑦= 𝑘 𝑥 Step 2: Replace y with 12 and x with 4. 12 = 𝑘 4 Step 3: Multiply both sides by 7. (4)12 = 𝑘 (4) 4 48 = 𝑘 Step 4: Replace k with 48. 𝑦= 48 𝑥 Step 5: Replace x with 6. 𝑦= 48 6 = 8 Therefore, the value of y is 8. 12. Present the solution in problem 4 Step 1: Since y varies inversely as x. we have 𝑦= 𝑘 𝑥 Step 2: Replace y with 4 and x with 6. 4= 𝑘 6 Step 3: Multiply both sides by 6. (6)4 = 𝑘 (6) 6 24 = 𝑘 Step 4: Replace k with 24. 𝑦= 24 𝑥 Step 5: Replace x with 12. 𝑦= 24 12 = 2 Therefore, the value of y is 2. 5. Abstraction and Comparison` The teacher asks, “Why is it important to not interchange the value of x, y and k?” 6. Generalization “How will you find the value of k?” 7. Formative Assessment Direction: Answer the following question. Oral Assessment 1. If y varies inversely as x, and y = 3 when x = 9. Find the value of k. 2. If y varies inversely as x, and y = 5 when k = 35. What is the value of x? 3. If y varies inversely as x, and y = 2 when x = 18. What is the value of k? 4. If y varies inversely as x, and y = 4 when x = 16. Find y if x = 16. 5. If y varies inversely as x, and y = 2 when x = 8. Find y if x = 4. Answer: 1.) 27 2.) 7 3.) 36 4.) 4 5.) 4 Written Assessment Directions: Solve the given problem and box correct answer. 1. If y varies inversely as x, and y = 9 when x = 15. What is the value of k? 2. If y varies inversely as x, and y = 12 when k = 96. What is the value of x? 3. The number of pencils sold varies inversely as the price per pencil. If 4,000 pencils are sold at a price of ₱2.50 each, find the number of pencils that will be sold at a price of ₱2.00 each. 4. A construction project has to be completed by 5 workers in 24 days. Suddenly the company decides to complete the project fast by hiring extra workers. How many workers are needed to complete the construction project in 15 days? 5. The time required to empty a tank varies inversely as the rate of pumping. If a pump can empty a tank in 150 minutes at a rate of 400 gallons per minute, how long will it take to empty a tank at 500 gallons per minute? Answer: 1. k = 35 2. x = 8 3. 5,000 pencils 4. 8 workers 5. 120 minutes 8. Learning Assessment Directions: Show your complete solution and box your final answer. 1. If y varies inversely as x, and y = 21 when k = 231. Find the value of x. 2. If y varies inversely as x, and y = 13 when x = 24. What is the value of k? 3. The length of a violin string varies inversely as the frequency of its vibrations. A violin string 14 inches long vibrates at a frequency of 450 cycles per second. Find the frequency of a 12 - inch violin string. 4. A pump empties a swimming pool in 40 minutes at the rate of 1400 L/min. If the rate of pumping is 2000 L/min, how long does it take to empty the swimming pool? 5. Boyle’s Law states that under constant temperature, the volume of gas varies inversely as its pressure. If a gas has a volume of 106 cubic inches when the pressure is 14.7 lbs, find the volume when the pressure is 15.3 lbs. Answer: 1. x = 11 2. k = 312 3. 525 cycles per second 4. 28 minutes 5. 101.15 cubic inches 9. Checking of learning assessment using key to corrections. 10. Getting the frequency of scores. 11. E.A.R 12. 6 Facets of Understanding Explanation: What is your understanding about inverse variation? Interpretation: If you would compare inverse variation to the things around you, what would it be and why? Application: How and when do we use our knowledge about inverse variation? Perspective: What do you think will happen if inverse variation doesn’t exist? Empathy: What does inverse variation trying to make us feel and see? Self-Knowledge: What are your strengths and weaknesses in this lesson? 13. Verifying the attainment of Objectives. D. Assignment Answer Power Plus pages 180 - 181, Soaring 21st century Mathematics Book Prepared by: Camille R. Dela Cruz IV – BSEd Mathematics