DETAILED LESSON PLAN IN MATHEMATICS 4 I. School Name Doroluman Central Elementary School Grade Level: IV-Gold District Arakan West Quarter: 4 quarter Student Teacher John Rey T. Caldina Teaching Date: April 17,2023 OBJECTIVES A. Content Standards The learners demonstrates understanding of concept of time, perimeter, area, and volume. B. Performance Standards The learners should be able to apply the concept of time, perimeter, area and volume to mathematical problems and real-life situations. The learner finds the area of triangles using sq. cm and sq. m. (M4ME-IVb-58) C. Learning Competencies II. CONTENT Finding the Area of Triangle III. LEARNING RESOURCES A. REFERENCES 1. Teacher’s Guide Mathematics Teacher’s Guide pp. 272-276 2. Learning Materials Mathematics Learner’s guide pp. 205-208 3. Textbook Pages 4. Additional Materials from Learning Resources (L.R) portals B. OTHERS LEARNING RESOURCES Laptop, PPT, flashcards, etc…. IV. PROCEDURES PRELIMINARY ACTIVITY TEACHER’S ACTIVITY Prayer STUDENT’S ACTIVITY Greetings Song/Energizer But before you get be seated let us sing a song first entitled: This is the Time. Very good! Every body give yourself a Kris Aquino clap. Checking of Attendance Let us have an attendance first, When I call your name just say present. (Math song) This is the Time 1,2,3 (clap) 123 (tramp) Correct! Present Last meeting, we discussed about? Be cooperative Speak only English and Tagalog, Raise your right hand if you want to answer Seat properly Keep quiet Finding the area of Parallelogram What formula can we use to find the area of parallelogram? Setting of Classroom Standards A. Review previous lesson or presenting the new lesson Good morning Lord Jesus smile on us today Give us your blessings us we work and play Amen. Good morning teacher John Rey, Good morning teacher Remark, Good morning classmates, Good morning everyone. What if, the base is unknown? What shall we do? How we can write the formula? How about the height is unknown? A=bxh b= A h h= A b The teacher gives a problem The area of parallelogram is equal 54m2 and the base is 6m and the height is unknown. What is the height of Parallelogram? h=? b = 6m To find the height of Parallelogram we use the formula; h = A/b = 54m2/6m = 9m2 In finding a height of Parallelogram the formula that we are going to use is h = A/b to get the height of Parallelogram: h = A/b = 54m2/6m = 9m2 1,2,3 (clap) 1,2,3 (tramp) ngeng-ngeng, pepep, good job! Let us give ourselves a driver’s clap. Drill: I have here a flash card, every time that I’m going to flash the card you solve the problem and give me the answer. 1. 8 x 9 = ? 2. 5 x 6 = ? 3. 64 / 8 = ? 4. 81 / 9 = ? 5. 8 x 4 / 2 = ? The student participates in drill. 1. 8 x 9 = 72 2. 5 x 6 = 30 3. 64 / 8 = 8 4. 81 / 9 = 9 5. 8 x 4 / 2 = 16 Answer: 1. 8 x 9 = 72 2. 5 x 6 = 30 3. 64 / 8 = 8 4. 81 / 9 = 9 5. 8 x 4 / 2 = 16 Very good! Give yourself a good job clap. B. Establishing a purpose for the lesson 1,2,3 (clap) 1,2,3 (stamp) good job! Today we are about to open a new lesson entitled, everybody read. Finding the area of a Triangle What shape is this? Parallelogram Very good! And now we are going to draw a diagonal line inside of a Parallelogram start in one corner to opposite corner for each figure. So what shape do we formed if we erase the other side? It called, what shape? Very good! Let us give ourselves a Coco martin clap! Triangle 1,2,3 (clap) 1,2,3 (stamp) yun oh! C. Presenting example s/instances of the new lesson Who among you had a friend or relatives named Maris? Okay, so now I will present to you a situation. All together read the situation. Me, Sir. Maris has a flower garden. The garden is triangular in shape. The base is 8 meters, and the height is 6 meters. What is the area of the garden? Maris has a flower garden. The garden is triangular in shape. The base is 8 meters, and the height is 6 meters. What is the area of the garden? 1. What is the shape of Maris flower garden? Very good! Give him/her Aling Dionesia clap 2. What is the base of Maris flower garden? Very good! Give him/her Aling Dionesia clap 3. What is the height of Maris flower garden? Very good! Give him/her Aling Dionesia clap 4. What does the problem ask you to find? Very good! Give him/her Aling Dionesia clap D. Discussing new concepts and practicing new skills # 1 And now, let’s discuss on how to find the area of a Triangle, when we say Area, what are the square units to find the measure of an area? The shape of Maris flower garden is triangular (one from the class answered) 1,2,3 (clap) 1,2,3 (stamp), very good 3x. The base of Maris flower garden is 8 meters. (one from the class answered) 1,2,3 (clap) 1,2,3 (stamp), very good 3x. The height of Maris flower garden is 6 meters. (one from the class answered) 1,2,3 (clap) 1,2,3 (stamp), very good 3x The area of Maris flower garden, Sir. (one from the class answered) 1,2,3 (clap) 1,2,3 (stamp), very good 3x The square units to find the measure of an area are m2, cm2, in2. Very good! And to find the area of a Triangle the formula that we are going to use is Area equals to base times height divided by two (A = b x h / 2). And now, we already know how to find the Area of a Triangle. Let us help Maris to solved her problem to find the area of her flower garden. So again what is the base of Maris flower garden? The base of Maris flower garden is 8 meters Sir. Yes, very good! our base is 8 meters. So we have a b = 8m And how about the height of Maris flower garden? The height of Maris flower garden is 6 meters Sir. Sir yes sir! Very good! The h = 6m The question is find the area of Maris flower garden. So we are going to solve: b = 8m h = 6m A=? A=bxh/2 A = 8m x 6m / 2 A = 48m2 / 2 A = 12m2 Therefore: The Area of Maris flower garden is 12 m2. To find the height of a triangle we use this formula: h=2A/b h = (2)12m2 / 8m h =48 m2 / 8m h = 6m Therefore: the height of Maris flower garden is 6m. And also to find the base of a triangle we use this formula: b=2A/h b = (2) 12m2 / 6m b = 48m2 / 6m b = 8m Therefore: the base of Maris flower garden is 8m. Did you understand already class how to get the Area, height, and base? E. Discussing new concepts and practicing new skills # 2 Let us solve the following problem. 1. Find the area of a triangle? A=? h=12cm b = 8cm 2. h = 2cm b = 8cm A=? A=bxh/2 = 8cm x 2cm / 2 = 16cm2 / 2 A = 8cm2 h = 2cm b = 8cm A=? A=bxh/2 A = 8cm x 2cm / 2 = 16cm2 / 2 = 8cm2 Therefore: the area of a triangle is 8cm2 2. Find the height of a triangle? 3. h = ? b = 4in A = 12in2 h =? A = 12 in2 b =4 in h=? b = 4in A = 12in2 h = 2A / b = (2)12in2 / 4in = 24in2 / 4in h = 6in Therefore: the height of a triangle is 6in h = 2A / b =(2)12in2 / 4in = 24in2 / 4in = 6in Therefore: the height of a triangle is 6in 3. Find the base of a triangle? b=? h = 16 ft A= h = 16ft b=? A = 96ft2 4. h = 16ft b=? A = 96ft2 96ft2 b = 2A / h = (2) 96ft2 / 16ft = 192 ft2 / 16ft b = 12ft Therefore; the base of a triangle is 12ft b = 2A / h = (2) 96ft2 / 16ft = 192 ft2 / 16ft b = 12ft Therefore; the base of a triangle is 12ft 4. Find the height of a triangle? 5. h = ? b = 15yd A = 150 yd2 h=? A = 150 yd2 b = 15 yd h=? b = 15yd A = 150 yd2 h = 2A / b = (2) 150yd2 / 15yd = 300yd2 / 15yd = 20yd Therefore: the height of a triangle is 20yd h = 2A / b = (2) 150yd2 / 15yd = 300yd2 / 15yd = 20yd Therefore: the height of a triangle is 20yd 5. Find the area of a triangle b = 6m h = 12m 6. h = 12m b = 6m A=? A=? A=bxh/2 = 6m x 12m / 2 = 72m2 / 2 = 36m2 Therefore: the area of a triangle is 36m2 1. h = 12m b = 6m A=? F. Developing Mastery A=bxh/2 = 6m x 12m / 2 = 72m2 / 2 = 36m2 Therefore: the area of a triangle is 36m2 Group Activity You will be group according to your row. Choose your leader and reporter respectively. Each group will receive materials and activity sheet. Present the rubric to be followed while performing the activity. Criteria Accuracy Cooperation Timeliness Rubrics 5 3 1 All answers are correct. There are one or two answers are incorrect. More than two answers are incorrect. All members work and think to answer the question. Finished ahead of time. There are 1-2 members did not help to answer the activity. Finished one minute before the time. Only leader and the reporter do the activity. Finished after the time. Every group solved the following: Base (b) Triangle 1 4cm 2 6m 3 12yd 4 5 34dm Height (h) 2cm 4m Area (A) 12in 3dm 84yd2 36in2 51dm2 Height (h) 2cm 4m 14yd 12in 3dm Area (A) 4cm2 12m2 84yd2 36in2 51dm2 The answer: Triangle 1 2 3 4 5 G. Finding practical application of concepts and skills Base (b) 4cm 6m 12yd 6in 34dm Each group will select a reporter who will present their work in front. The first group will present first their works. Good morning Sir John Rey, good morning Sir Reymark, good morning classmates. This is the work of group 1. Triangle 1 2 3 4 5 Base (b) 4cm 6m 12yd 6in 34dm Height (h) 2cm 4m 14yd 12in 3dm Area (A) 4cm2 12m2 84yd2 36in2 51dm2 And that’s all. Thank you! Very good, group 1. Let us give them a wow galling clap. 1,2,3 (clap) 1,2,3 (stamp) wow galling! Wow, wow galing-galing, And now, let’s go to the next group. Good morning Sir John Rey, good morning Sir Reymark, good morning classmates. This is the work of group 2. Triangle 1 2 3 4 5 Base (b) 4cm 6m 12yd 6in 34dm Height (h) 2cm 4m 14yd 12in 3dm Area (A) 4cm2 12m2 84yd2 36in2 51dm2 And that’s all. Thank you! 1,2,3 (clap) 1,2,3 (stamp) Good job! Very good! Group 2. Let us give them Good job clap. here you go group 3. Good morning Sir John Rey, good morning Sir Reymark, good morning classmates. This is the work of group 3. Triangle 1 2 3 4 5 Base (b) 4cm 6m 12yd 6in 34dm Height (h) 2cm 4m 14yd 12in 3dm Area (A) 4cm2 12m2 84yd2 36in2 51dm2 And that’s all. Thank you! 1,2,3 (clap) 1,2,3 (stamp) Very Good3x Very good! Group 2. Let us give them Aling Dionesia clap. It’s your turn group 4. Good morning Sir John Rey, good morning Sir Reymark, good morning classmates. This is the work of group 4. Triangle 1 2 3 4 5 Base (b) 4cm 6m 12yd 6in 34dm Height (h) 2cm 4m 14yd 12in 3dm Area (A) 4cm2 12m2 84yd2 36in2 51dm2 And that’s all. Thank you! 1,2,3 (clap) 1,2,3 (stamp) wow galling! Wow, wow galing-galing, Very good, group 1. Let us give them a wow galling clap. Good morning Sir John Rey, good morning Sir Reymark, good morning classmates. This is the work of group 4. Triangle 1 2 3 4 5 Base (b) 4cm 6m 12yd 6in 34dm Height (h) 2cm 4m 14yd 12in 3dm Area (A) 4cm2 12m2 84yd2 36in2 51dm2 And that’s all. Thank you! Very good! Group 2. Let us give them Good job clap. Criteria Accuracy Cooperation Timeliness Total Group 1 5 5 5 15 Score Sheet Group 2 Group 3 5 5 5 5 5 5 15 15 Group 4 5 5 5 15 Group 5 5 5 5 15 1,2,3 (clap) 1,2,3 (stamp) Good job! H. Making generalization and abstractions about the lesson I. Evaluating learning And again, What formula that we are going use when we find the area of a Triangle? How about finding a height of a triangle, what formula that we are going to use? And also what formula that we are going to use to find the base of a triangle? The formula that we are going to use when we find the area of a triangle is A = b x h / 2. When we are finding the height of a triangle we use a formula is h = 2A / b. The formula that we are going to find the base of a triangle is b = 2A / h. Multiple choice Direction: Solve the problem to get the best answer then encircle the letter of the correct answer. 1. h = 6m b = 12m A=? a. 36m2 b. 32m2 c. 38m2 b. 32yd c. 8yd d. 48m2 1. b 2. h = 7yd b=? A = 49 yd2 a. 6yd d. 14yd 2. d d. 8dm 3. a 3. h = ? b = 14dm A = 140dm2 a. 20dm b. 24dm c. 14dm 4. h = 16cm b = 6cm A=? a. 40cm2 b. 48cm2 c. 26cm2 d. 18cm2 4. b 5. h = 15in b=? A = 150in2 J. Additional activities application or remediation a. 22in b. 15in c. 20in for Direction: Solve the problem. d. 20in2 A sailboat has a triangular sail with an area of 280 cm2. If the height of the sail is 35 cm. What is the base? 1. What is the shape of a sail of a sailboat? 2. What is the area of a sail? 3. What is it ’s height? 4. What is asked in the problem? 5. What will you do to solve the problem? V. REMARKS VI. REFLECTION A. No. of learners who earned 87% on the formative assessment. B. No. of learners who require additional activities for remediation. C. Did the remedial lesson work? No. of learners who have caught up with the lesson. D. No learners who continue to require remediation. E. Which of my teaching strategies worked well? Why did this work? 5. c F. What difficulties did I encounter which my principal or supervisor can help me to solve? G. What innovation or localized materials did I use/discover which I wish to share with other teacher? Prepared by: Checked by: JOHN REY T. CALDINA BEED Intern REYMARK G. YALDA Critic Teacher