Republic of the Philippines Department of Education Region IV-A CALABARZON Division of Lipa City BAGONGPOOK ELEMENTARY SCHOOL Lesson Plan in Mathematics 5 Third Quarter I. OBJECTIVES A. Demonstrates understanding of time and circumference. B. Is able to apply knowledge of time and circumference in mathematical problems and real-life situations. C. Measure circumference of a circle using appropriate tools (M5ME-IIIh-68) II. CONTENT Subject Matter: Circumference of Circle III. LEARNING RESOURCES A. References: a. Coronel, Carmilita C. and Nelia D. Bamba (2010) Mathematics for a Better Life 5. Quezon City: Vibal Publishing. b. Yn, Grace U (2013) Math in Our World 4. Quezon City: Vibal Publishing. c. file:///H:/lrmds.deped.gov.ph/download/BEAM%20LG%20Gr.5%20%20Module%202%20%20Circumference%20of%20a%20Circle.pdf IV. PROCEDURES A. Reviewing previous lesson or presenting the new lesson Preliminary Checking of Attendance Classroom rules and protocols Singing a Math Song Review Tell Me the Time (Game) a. b. Tessa rode the train from Legazpi City to Naga City. The train left Legazpi at 1:20 in the afternoon. It arrived in Naga City 3 hours and 20 minutes later. What time was it when Tessa got off the train in Naga? B. Establishing a purpose for the lesson Motivation Game: BRING ME Ask the class to bring out the circular objects. Bring me a thing from your pocket, clothes, bag that has a round shape. Bring me a thing from our classroom that has a round shape. C. Presenting Examples/instances of new lesson Today we're going to learn about finding the circumference of a circle. Can anyone tell me what a circle is and how it is different from other shapes? (Accept student responses and provide additional information as needed) (Show pictures that has a round shape) Describe the picture shown. What shape is it? Now that we know what a circle is, let's talk about the circumference of a circle. Can anyone tell me what "circumference" means? (Accept student responses and provide additional information as needed) BAGONGPOOK ELEMENTARY SCHOOL Bagongpook, Lipa City Batangas Tel. No. (043) 774 - 0462 Believe…Protect…Educate…Serve… D. Discussing new concepts and practicing new skills #1 What is circumference of a circle? Before we answer that… let’s do the ff. activity first. Ask the class to put yarn around the circular object that have then cut it. Using the tape measure, measure the yarn that they put around the circular object. Write the measurement on a piece of paper. Let the class exchange object and compare. What do you call the measurement around the circle? Direct Instruction The formula for finding the circumference of a circle is C = 2πr and C=πd, where C is the circumference, π is a constant value of approximately 3.14, r is the radius and d is the diameter of the circle. Let's break this down a bit. - Circumference is the distance around the edge of a circle. - Pi, or π, is a special number that is approximately equal to 3.14. It is used in circle calculations because it relates the circumference of a circle to its diameter (which is twice the radius). - Radius is the distance from the center of a circle to its edge. Now, let's look at an example of how to use this formula. The radius of some of the tire used in the school garden is 9 inches. Let us find its Circumference of the tire by using the formula: C = 2πr C = 2π(9inches) C = 18inchesπ C = 56.5 inches (rounded to one decimal place) So, the circumference of the tire with a radius of 9 inches is approximately 56.5 inches. Let's have another example. The diameter of the other tires used in the school garden is 16 inches. Let us find its Circumference of the tire by using the formula: C = πd C = π(16inches) C = 50.2 inches (rounded to one decimal place) So, the circumference of the tire with a diameter of 16 inches is approximately 50.2 inches. For us, to know more about Circumference of a circle, I prepared a video. Let’s watch this! https://www.youtube.com/watch?v=ctU6sD-yXgg Discussing new concepts and practicing new skills #2 Guided Practice/ GROUP ACTIVITY Now, let's work together to find the circumference of a few more circles. I'll give you the radius of each circle, and you can use the formula we just learned to find its circumference. (Provide several practice problems, and work through them with the class. Offer assistance and answer questions as needed.) Strategy: Activity-Based Activity : 3A’s Activity Group 1 (Act) BAGONGPOOK ELEMENTARY SCHOOL Bagongpook, Lipa City Batangas Tel. No. (043) 774 - 0462 Believe…Protect…Educate…Serve… Directions: Using any circular objects you have with your group, find the circumference of it by rolling it on the floor. Don’t forget to mark the object using pentel pen and the starting line on the floor. Stop rolling when the mark on the object is on the floor again. Using meter stick measure the distance between the start and end line. Call it the circumference of the object. Group 2 (Analyze) Directions: Solve this problem. Write your solution. A circular running track has an inner radius of 80 m and an outer radius of 90 m. What is the difference in the length between the inner and outer edges of the track? Group 3 (Apply) Directions: Look for 5 circular objects outside your classroom. Measure its diameter or radius using tape measure then solve its circumference. Say: While doing the activity I am observing each group using this “Traffic Light Behavior Chart”. When your Group is in the Red Light it means you are noisy, and you are given a sad face. When in Yellow Light it means that you are still thinking and nothing is happening on your group yet. When in Green Light it means that you are actively and happily done your tasks. E. Developing Mastery (Leads to Formative Assessment) Present a word problem. The Grade 5 class of Mrs. Mendoza prepared an output in TLE using recycled materials. Ezekiel brought a can with a diameter of 7.5 cm. She planned to decorate the lid cover of the can using a ribbon. How many centimeters of ribbon are needed to cover the lid of the can? Let us understand the problem. 1. What is asked in the problem? • Length of ribbon to be used to cover the can of chips 2. What are the given facts? • Diameter = 7.5 cm 3. How do we solve the problem? (Call a volunteer if there is or guide them in solving the problem.) • Use the yarn and wrap it around the can. • Then measure it using a tape measure. F. Developing Mastery (Leads to Formative Assessment) Is learning the circumference of circle important? Why? How? If yes, what is its importance? Include sample situations. If no, justify your answer and present some situations to prove your answer. We see many circular objects daily, such as coins, buttons, wall clocks, wheels, etc. The boundary of any circular object has great significance in math. Let’s learn the meaning of circumference of a circle using a real-life example. Suppose a boy walks around a circular park with a diameter of 20m and completes one round. The distance covered by him is the circumference of the circular park. What is the distance around the circular park? G. Making generalization and abstractions about the lesson BAGONGPOOK ELEMENTARY SCHOOL Bagongpook, Lipa City Batangas Tel. No. (043) 774 - 0462 Believe…Protect…Educate…Serve… What is circumference of a circle? How do we measure the circumference of a circle? Circumference is the distance around the circle. The formula for circumference is C = πd where C is the circumference and d is the diameter. since the measure of the diameter is twice the radius, C = πd is the same as C = 2πr. Tape measure, meter stick and ruler are tools you can used to measure the circumference of a circle. H. Evaluating Learning This time let us see if you really understood our lesson by getting your mastery level through this evaluation. Find the circumference of the circle with the following radius or diameter. Use 3.14 as a value of π . 1. r = 11 m C = ________ 2. d = 2 cm 3. d= 16 cm C = _________ C = ________ Directions: Read and solve. 4. Mam Myrna planted dwarf santan around her circular flower garden which has a diameter of 8 meters. How many meters did she plant with dwarf santan? 5. Sir Joel is laying out a circular garden. Its radius is 50 m. What is the circumference of the garden? I. Additional activities for application or remediation Directions: Use a ruler, meter stick or tape measure in finding the circumference of these circles to answer the following: 1. Would a circle with a diameter of 5 cm have a circumference of about 16 cm? 2. Would a circle with a diameter of 2.5 cm have a circumference of about 8 cm? 3. Would a circle with a diameter of 6.2 cm have a circumference of less than 20 cm? Prepared by: Checked by: VICKY M. SARMIENTO Teacher I LORNA B. MARASIGAN Principal II BAGONGPOOK ELEMENTARY SCHOOL Bagongpook, Lipa City Batangas Tel. No. (043) 774 - 0462 Believe…Protect…Educate…Serve… BAGONGPOOK ELEMENTARY SCHOOL Bagongpook, Lipa City Batangas Tel. No. (043) 774 - 0462 Believe…Protect…Educate…Serve… BAGONGPOOK ELEMENTARY SCHOOL Bagongpook, Lipa City Batangas Tel. No. (043) 774 - 0462 Believe…Protect…Educate…Serve… BAGONGPOOK ELEMENTARY SCHOOL Bagongpook, Lipa City Batangas Tel. No. (043) 774 - 0462 Believe…Protect…Educate…Serve…
