STA. LUCIA NATIONAL HIGH SCHOOL Sta. Lucia, Calumpit, Bulacan S.Y. 2022-2023 A Detailed Lesson Plan in Mathematics (Grade 7) I. OBJECTIVES At the end of the session, the students will be able to: a. illustrate the different classifications of polygons according to the number of sides and angles; b. find the sum of interior angle of a polygon; and c. appreciate the value of polygons to real life situations. II. SUBJECT MATTER A. Topic: Illustrates polygons: (a) angles; and (b) sides B. Reference(s): Self-Learning Module (SLM) in Mathematics 7,Q3Module 5, pages 5-15. Learning Competency: M7GE-IIIe-2 C. Instructional Materials: television, laptop, chalk, blackboard, visual aids, geoboard & rubber band, motivational chips. D. Strategies/Methods Used: Collaborative learning E. Values Integration: Developing a great sense of accuracy/appropriateness. III. PROCEDURE Teacher’s Activities A. Preparation 1. Prayer Class, please everybody stand up for our prayer. “Let us put ourselves in the holy presence of the Lord.” “In the name of the father, the son and the holy spirit, Amen. Dear Lord, we thank you for this day you have given us. Lord, please ADD love and care to each and every one. SUBTRACT all the hatred and negativities surround us. Student’s Activities MULTIPLY your good news and mercy on us. And DIVIDE your unending blessings to each of us. Dear Lord, please grant us the holy spirit to guide us our class today. All of these we pray to your most holy name. Amen! 2. Greetings “Good morning class!” “Good morning, Mam Joy!” Before you take your seats, kindly pick up the pieces of trash you see on the floor and arrange your chairs properly. 3. Checking of Attendance Eliza, may I know who is absent for today? None, Ma’am! It’s good to hear that no one is absent for today! B. Energizer To keep your body energized, I had prepared a short dance video for you. We call this “Mathematics Dance Challenge”, and we are going to try this today. Are you ready class? Yes, Ma’am. Okay, let’s start. (The students will follow the steps.) Did you enjoy our Mathematics Dance Challenge? Yes, Ma’am. C. Review Now that you are energized, let us first have a recap regarding our previous topic. Let’s review the different figures and their names. Match the figures in Column A to their corresponding name in Column B. Put the name in the correct figure. 1. midpoint 2. bisector of an angle 3. congruent angles 4. perpendicular bisector 5. parallel lines D. Motivation Before we proceed with our new lesson but let’s have this activity first. Everyone please listen with my instructions. I have here set of rubber bands and geoboards here. I will group you by pair, together with your partner need to use rubber band to form an object. I will give you two minutes. Kindly raise your geoboard once you’re done with the object you formed and describe what is/are the shape/s or figure/s created in the geoboard. Yes, Ma’am! Are you ready class? The winning group will get a token. Did you enjoy the activity, class? Yes, Ma’am! E. Lesson Proper This morning we are going to discuss about the Polygon. Now, based on our activity, can anyone from the group describe what a polygon is? Yes, _______. That’s right! In mathematics, a polygon is a closed twodimensional figure made up of line segments but not curves. The word polygon originates from the Greek word “poly –” meaning “many” and “- gon,” meaning “angles.” Polygons are named according to the number of sides and angles they have. Ma’am, polygon is a closed plane figure that is made up of several line segments that are joined together. (The teacher will show a picture of regular and irregular polygons) (Students listen attentively to the teacher’s discussion.) What did you observe on the pictures shown? Yes, __________. The picture shows the different polygons which is the regular and irregular polygons. Very Good! Polygon has two distinctive types regular and irregular polygon. Anybody from the group can describe what is regular polygon? Yes, _______. Ma’am, regular polygon is a polygon where all sides are equal in length and all angles have the same measure. That’s right! When we say regular polygon, it is a polygon where all angles and sides have the same length. How about you ______, what is an irregular polygon? In an irregular polygon, one or more sides do not equal the length of the others. Correct! When we say irregular polygon, it is a polygon whose sides are not with the same length or whose angles do not all have the same measure. There are three characteristics of a Polygon and these are line, angle and side. What is line? Yes, _______. Ma’am, line is continuous collection of point. Line can be extended infinitely in both directions How about angle? Angle is formed by two lines or rays that meet in a common point. And the last is side, ______ can you read the definition of side? Side is the line segment that joins two vertices in a shape or two-dimensional figure. These three characteristics play a big role in making polygon. (Now, the teacher will show a polygon with different number of sides and present an object that shows polygon.) What have you observed in this picture? Yes, _______. Ma’am the picture shown are the different types of shapes. Very Good! What else? Yes, _________. Ma’am, the picture shows the different sides of angle. How about you ______, what have you observed in the picture? Ma’am, pictures are composed of line and sides That’s right! All of your answers are correct. Now, let us discuss the different types of polygons. Do you know that polygons are named according to the number of its sides? Okay, now, let’s take a look at the figure one. Who can guess the name of this polygon? Yes, ________. Ma’am, it is a triangle. Very Good! ______, how many sides and angles are there in a triangle? There are three sides and three angles in a triangle. That’s right! Triangle is from the prefix “tri” which means three. It consists of three sides and three angles. How about in the second figure? Yes, ________. How many sides and angles are there in quadrilateral? Ma’am, it is quadrilateral. It has four equal sides and four angles. That’s right! Quadrilateral is from the prefix “quad” means four. It is composed of four sides and four angles. Let’s proceed to the next polygon. ______, what polygon is this? It is pentagon. Excellent! How many sides and angles are there in pentagon? Yes, ________. Ma’am pentagon has five sides and five angles. Wonderful! Pentagon comes from the prefix “penta” which means five. Pentagon has five angles and five sides. How about the next figure? Who can tell me what polygon is this? Yes, ______. Ma’am, it is a hexagon. Good Job! Who can guess what are the side and angle of hexagon? Yes, ______. Ma’am, there are only six sides and six angles in hexagon. That’s Great! Hexagon came from the prefix “hexa” which means six. It is consisting of six angles and six sides. _______, what is the next figure shown? Ma’am, it is heptagon. Nice one! How many sides and angles are there in heptagon? Yes, _____. Ma’am, there are only seven sides and seven angles in a heptagon. Heptagon is from the prefix “hepta” which means seven. It is consisting of seven sides and seven angles. How about the next figure? Yes, ______. Ma’am, the polygon shown is an octagon. Very Good! How many sides and angles are there in octagon? Ma’am, there are only eight sides and eight angles in an octagon. Amazing! Octagon is from the prefix “octa” means eight. It consists of eight sides and eight angles. How about you _____, what is the next figure? Ma’am, it is nonagon. Excellent! How many sides and angles are there in nonagon? Yes, ________. Ma’am, it is consisting of nine sides and nine angles. That’s right! Nonagon is from prefix “nona” means nine. It has nine sides and nine angles. How about in the last figure, who can guess what polygon is it? Yes, _______. Ma’am! I think that polygon is decagon. Correct! How many angles and sides are there in decagon? It has ten sides and ten angles Ma’am! What does “deca” means? Yes, ______. Ma’am, the prefix of decagon is “deca” which means ten. Very good class! The last polygon that has ten sides is called decagon. It has ten sides and ten angles. There are still many kinds of polygon, but today we are going to focus on the first eight polygons. So now, let’s find the sum of Interior Angle of a polygon. The formula for calculating the sum of interior angle of a polygon is 𝑆𝑛 = (n-2)180° where n is the number of sides. Example: Find the sum of the interior angle of a pentagon using the given formula. How many sides are there in a pentagon? Ma’am, 5 sides. What is the formula in finding the sum of a pentagon? 𝑆𝑛 =(n-2)180° Very Good! Since pentagon has 5 sides the value of n=5. 𝑆𝑛 = (n-2)180° = (5-2)180° = (3)180° = 540° 540° is the sum of the interior angle of a pentagon. Okay! Let’s try Quadrilateral. How many sides does a quadrilateral have? Yes, ________. What is the value of n? Yes, ________. Can anyone solve on the board the sum of interior angle of a quadrilateral? Yes, _______. Ma’am, 4 sides. n=4 𝑆𝑛 =(n-2)180° =(4-2)180 =2(180) =360° Very Good! Let’s try another one. How many sides do we have in a hexagon? 6 sides Ma’am. What is the value of n? n=6 Solve on the board the sum of interior angle of hexagon. Who would like to try? Yes, __________. 𝑆𝑛 =(n-2)180° =(6-2)180 =(4)180 =720° Correct! None Ma’am. Do you have any questions about our lesson today? F. Application I will group you into five. The first group is the MATHINIK, the second group is MATHALINO, the third group is MATHULIN, the fourth group is MATHAPANG and the last group is named MATHIYAGA. Directions: Complete the table. On the first column as you can see there are images that represents polygon. In the second column you will put there the name of the polygon. In the third column, you will indicate the number of sides. In the fourth column, you will indicate the number of angles and in the last column is the sum of interior angles and show your solutions. You will be given five minutes to answer the table and explain your answer in front of the class. NAME OF POLYGON NO. OF SIDES NO. OF ANG LES SUM OF INTERIOR ANGLES Name of Polygon: Triangle No. of sides: 3 sides No. of angles: 3 angles Sum of interior angles: 180° Name of Polygon: Octagon No. of sides: 8 sides No. of angles: 8 angles Sum of interior angles: 1080° Name of Polygon: Hexagon No. of sides: 6 sides No. of angles: 6 angles Sum of interior angles: 720° Name of Polygon: Pentagon No. of sides: 5 sides No. of angles: 5 angles Sum of interior angles: 540° Name of Polygon: Heptagon No. of sides: 7 sides No. of angles: 7 angles Sum of interior angles: 900° G. Generalization If you really understand our lesson, can anyone define a polygon? Very Good! Polygon is a twodimensional shape that formed with straight lines. It is classified into two, the regular polygon and the irregular polygon. What is regular polygon? Regular polygon where all sides are equal in length and all angles have the same measure. Very good! How about irregular polygon? Irregular polygon that one or more sides do not equal the length of the others. Correct! There are types of polygons according to sides and angles, what are those? What else? Triangle Quadrilateral Pentagon Now, I know that you really understand the lesson let us have a short quiz. IV. Hexagon Heptagon Octagon Nonagon Decagon EVALUATION Directions: Find the number of sides and sum of the interior angles of each polygon. 1. Number of sides = _________ Sum of the interior angles = _________ 2. Number of sides = _________ Sum of the interior angles = _________ 3. Number of sides = _________ Sum of the interior angles = _________ 4. Number of sides = _________ Sum of the interior angles = ______ 5. Number of sides = _________ Sum of the interior angles = _________ V. ASSIGNMENT Direction: In a short bond paper. Make an art or scenario that represent the different polygons seen in real-life. VI. CLOSING PRAYER Let us end our class with a closing prayer. So, may I request all of you to stand up for our closing prayer. Dear Lord, thank you that you promise us that when two or more come together in your name you are with us. Thank you, Lord, that you have been with us throughout this lesson and that you are with us right now. Inspire us as we leave this place. To love and serve you always. In the name of Jesus. Amen. Prepared by: JOY T. PEDRO (Student Teacher) Checked by: MONALIZA P. MARQUEZ (Cooperating Teacher) Approved by: SALLY CLEMENTE (Head Teacher III-Mathematics) Noted by: ROBERTO G. LAGANAO (Principal III)
