Q1_LE_Mathematics 4_Lesson 4_Week 4 (1).pdf

4 Quarter 1 Lesson Exemplar Lesson for Mathematics 4 IMPLEMENTATION OF THE MATATAG K TO 10 CURRICULUM Lesson Exemplar for Mathematics Grade 4 Quarter 1: Lesson...

4 Quarter 1 Lesson Exemplar Lesson for Mathematics 4 IMPLEMENTATION OF THE MATATAG K TO 10 CURRICULUM Lesson Exemplar for Mathematics Grade 4 Quarter 1: Lesson 4 (Week 4) SY 2024-2025 This material is intended exclusively for the use of teachers in the implementation of the MATATAG K to 10 Curriculum during the School Year 2024- 2025. It aims to assist in delivering the curriculum content, standards, and lesson competencies. Any unauthorized reproduction, distribution, modification, or utilization of this material beyond the designated scope is strictly prohibited and may result in appropriate legal actions and disciplinary measures. Borrowed content included in this material are owned by their respective copyright holders. Every effort has been made to locate and obtain permission to use these materials from their respective copyright owners. The publisher and development team do not represent nor claim ownership over them. Development Team Writers: Marilou T. Aninag Maria-Josephine T. Arguilles (Tinajeros National High School) Validator: Lalaine Ann F. Manuel, Ph.D. (Central Luzon State University) Reviewed and Revised: PNU – RITQ Development Team Management Team Philippine Normal University Research Institute for Teacher Quality SiMERR National Research Centre Every care has been taken to ensure the accuracy of the information provided in this material. For inquiries or feedback, please write or call the Office of the Director of the Bureau of Learning Resources via telephone numbers (02) 8634-1072 and 8631-6922 or by email at [email protected]. MATHEMATICS / QUARTER 1 / GRADE 4 I. CURRICULUM CONTENT, STANDARDS, AND LESSON COMPETENCIES A. Content The learners should have knowledge and understanding of the perimeter of quadrilaterals and composite figures Standards composed of triangles and quadrilaterals. B. Performance By the end of the quarter, the learners are able to… Standards find the perimeter of quadrilaterals and composite figures composed of triangles and quadrilaterals. C. Learning Find the perimeter of quadrilaterals that are not squares or rectangles Competencies At the end of the lesson, the learners will be able to: and Objectives 1. Give the meaning of composite figures; 2. give examples of composite figures; 3. solve for the perimeter of composite figures; 4. follow the correct formulas in solving for the perimeter of composite figures composed of triangles. D. Content Perimeter of Composite Figures Composed of Triangles and Quadrilaterals E. Integration Arts, Woodworking II. LEARNING RESOURCES Clapham, C., & Nicholson, J. (2009, January 1). The Concise Oxford Dictionary of Mathematics. Oxford University Press eBooks. https://doi.org/10.1093/acref/9780199235940.001.0001 Math With Mr. J. (2020, June 28). Perimeter of Composite Figures | Math with Mr. J. YouTube. https://www.youtube.com/watch?v=4c_- Q5gADcQ III. TEACHING AND LEARNING PROCEDURE NOTES TO TEACHERS A. Activating Prior DAY 1 DAY 1 Knowledge 1. Short Review To determine learners’ prior Find Me! Answer the following. knowledge about the perimeter of triangles, let the learners answers Activity 1.Find Me! Answer: 1  1. D 2. C 3. A 4. E 5. B 2. Feedback (Optional) B. Establishing DAY 1 DAY 1 Lesson Purpose 1. Lesson Purpose The lesson's purpose is to help Imagine you are designing a garden in the shape of a composite figure made up learners understand how to of triangles. If each triangle in your design has sides of 2 meters, 3 meters, and find the perimeter of composite 4 meters, how would you calculate the total length of the garden’s boundary? figures made up of triangles. The goal is to apply the concept 2. Unlocking Content Vocabulary of perimeter to these complex Jumbled Words. shapes by breaking them down 1. termeripe – perimeter into simpler components. 2. glerita – triangle 3. thgeln – length Introduce key vocabulary words 4. posietcom – composite such as "perimeter," "composite 5. guefir – figure figure," "triangle," and "side length." Discuss the meaning of 2  1. Perimeter: The perimeter is the total distance around the edge of a two- these terms and their relevance dimensional shape. to the lesson. 2. Triangle: A triangle is a figure with three edges and three vertices. It is one of the basic shapes in geometry. 3. Length: Length is the measurement of something from end to end. It is the longest dimension of an object. 4. Composite Figure: A composite figure is a shape that is made up of two or more simple geometric shapes, such as triangles, rectangles, circles, and so on. C. Developing and DAY 2 DAY 2 Deepening SUB-TOPIC 1: Perimeter of Composite Figures Composed of Triangles Explicitation Answers: Understanding 1. Explicitation 1. Mr. Rabang Mr. Rabang bought a cartolina for his Math 2. by equal triangles/2 right Class. He needs two triangles of the same size triangles without wasting any part of the cartolina. How 3. Composite Figures will he divide it? What will be the perimeter of 4. 200 cm each triangle? 5. 240 cm 1. Who bought cartolina for his Math class? 6. two triangles 2. How will he cut the cartolina into two 7. rectangle triangles without wasting any part? 8. To solve for the perimeter of 3. What do you call the figure cut into two equal triangles, like Mr. Rabang did the two triangles above, first to the Carolina he bought? calculate the perimeter of 4. What do you think is the distance around each triangle? triangle A, then calculate the 5. What will be the perimeter of the two triangles? perimeter of Triangle B, then 6. How many triangles are there in the figure? get the sum of the two 7. What figure was formed when the two triangles were combined? triangles. 8. How do we solve for the perimeter of two triangles? The teacher should ensure that Since triangles have 3 sides, follow this formula. the learners properly identify Triangle A= side1 + side2 + side3 or s1 + s2 + s3 the composite figure, which is Triangle A = 50 cm + 70 cm + 80 cm the triangle, and that the Triangle A = 200 cm values of their perimeters are Therefore, the Perimeter of Triangle A is 200 cm. different. Then, calculate the perimeter of Triangle B, following the same formula. Triangle B = side1 + side2 + side3 or s1 + s2 + s3 3  Triangle B = 50 cm + 70 cm + 80 cm Worksheet No. 2 Answers: Triangle B = 200 cm Therefore, the Perimeter of Triangle B is 200 cm. I. 1. C 2. B 3. C 4. C 5. A 6. B Now, add the perimeter of the two triangles. P= Triangle A (200 cm) + Triangle B (200 cm) II. P = 200 cm +200 cm 1. P=3 x side or P=3 x s or P=3s P= 400 cm 2. 36 cm Therefore, the perimeter of the two triangles is 400 cm. 3. 36 cm 4. 72 cm 2. Worked Example 5. 48 cm Example 1: The Grade 4 pupils of Pantay Elementary School were asked to draw a rhombus of 2 equal triangles III. with a side of 15 cm. What is the perimeter of the two 1. D 2. D 3. C 4. A 5. B triangles? What is the perimeter of the composite figure? The teacher prepares cutouts of For Triangle A, different composite figures P = 15 cm + 15 cm + 15 cm. composed of quadrilaterals, P = 45 cm with corresponding Therefore, the perimeter of Triangle A is 45 cm. measurements of their sides. The cutouts may be placed in a For Triangle B, mystery bag. The teacher can P =15 cm + 15 m + 15 cm call some learners to draw at P= 45 cm least one or two and let them Therefore, the perimeter of Triangle B is 45 cm. solve for the perimeter. This can be done as a game. It may Now, get the perimeters of the two triangles: be used as an initial activity. P = 45 cm + 45 cm P = 90 cm Use the guide questions for Therefore, the perimeter of the two triangles is 90 cm. processing. But if we are solving for the perimeter of the composite figure which is the rhombus, we add all the sides around the figure using this formula. P= s1 + s2 + s3 + s4 ( since the rhombus has 4 sides) P = 15 cm + 15 cm + 15 cm + 15 cm P= 60 cm, Therefore, the perimeter of the composite figure is 60 cm 4  Example 2. Compute the perimeter of the composite figure below. Find also the perimeter of the Triangle A and B. Triangle A and Triangle B have the same measurements of their sides, which is 6 cm. Triangle A: P = 6 cm + 6 cm + 6 cm OR P = 3 x side P = 18 cm P= 3 x 6 cm P = 18cm Triangle B: P = 6 cm+ 6 cm+6 cm OR P = 3 x side P = 18 cm P = 3 x 6 cm P = 18 cm What is the perimeter of the two triangles? Triangle A + Triangle B P = 18 cm + 18 cm P= 36 cm Therefore, the perimeter of the two triangles is 36 cm. But if we are solving for the perimeter of the composite figure, which is the rhombus, we add all the sides around the figure using this formula. P= s1 + s2 + s3 + s4 (since the rhombus has 4 sides) P = 6 cm + 6 cm + 6 cm + 5 cm P= 24 cm, Therefore, the perimeter of the composite figure is 24 cm. 3. Lesson Activity See Worksheet Activity No. 2 DAY 3 SUB-TOPIC 2: Perimeter of Composite Figures Composed of Quadrilaterals DAY 3 1. Explicitation For advanced learners, present Study the figure below. composite figures with irregular Trapezoid A: S1 = 3 cm S2 = 9 cm S3 = 5 cm S4 = 8 cm quadrilaterals or different Trapezoid B: S1 = 12 cm S2 = 6 cm S3 = 5 cm S4 = 8 cm combinations of quadrilaterals. For learners needing additional 1. How many trapezoids can you see in the figure? support, offer guided practice 2. What kind of figure is a trapezoid? exercises with step-by-step 3. What are the measurements of the sides of the 2 assistance. trapezoids? 4. How do we solve for the perimeter of the two trapezoids? 5. How do we solve for the perimeter of the composite figure? 5  Explain how to solve for the perimeter of the two trapezoids and the perimeter of Explicitation Answers: the whole composite figure. Since the figure has two quadrilaterals, follow these 1. 2 steps: 2. Quadrilateral with one pair 1. Identify all the quadrilaterals that make up the composite figure. * Trapezoid A of parallel sides and Trapezoid B 3. Trapezoid A: S1 = 3 cm S2 = 9 cm S3 = 5 cm S4 = 8 cm 2. For each trapezoid, find the lengths of its sides. Trapezoid B: S1 = 12 cm S2 = 6 Trapezoid A: S1 = 3 cm S2 = 9 cm S3 = 5 cm S4 = 8 cm cm S3 = 5 cm S4 = 8 cm Trapezoid B: S1 = 12 cm S2 = 6 cm S3 = 5 cm S4 = 8 cm 4. Add all the sides. 5. P = (length1+length 2) + 3. Add up all the sides of each trapezoid. This gives you the perimeter of each (width 1 + width 2) trapezoid. For Trapezoid A Worksheet No. 3 Answer: P = s1 + s2 + s3 + s4 I. P= 3 cm + 9 cm + 5 cm + 8 cm P = 25 cm 1. 6 sides Therefore, the perimeter of Trapezoid A is 25 cm 2. 18 cm, 17 cm,10 cm, 25 cm 3. 8 cm, 8cm For Trapezoid B: 4. 18cm + 25cm+ 10cm P = 12 cm + 6 cm + 5 cm + 8 cm P = 36 cm +17cm+ 8cm+8cm = n Therefore, the perimeter of Trapezoid B is 31 cm 5. P= 86 cm 4. Then, sum up all the perimeters of the 2 trapezoids, this gives you the perimeter II. of the two quadrilaterals. Since the Perimeter of Trapezoid A is 25 cm and the 1. 18 cm Perimeter of Trapezoid B is 31 cm. 2. 26 cm P = 25 cm + 31 cm P = 56 cm 3. 34 cm Therefore, the perimeter of the two trapezoids is 56 cm. 4. 48 cm 5. 46 cm 5. But if we are solving for the perimeter of the composite figure, which is the trapezoid, we add all the sides around the figure using this formula: III. P = (length1+length 2) + (width 1 + width 2) 1. B 6.A P = (15 cm + 15 cm) + (5 cm + 5 cm) P = 30 cm + 10 cm P= 40 cm 2. B 7. D Therefore, the perimeter of the composite figure above is 40 cm. 3. D 8. A 4. C 9. C 2. Worked Example 5. D 10.A Example 1. Square A and Square B have 4 equal sides of 5 cm. Find the perimeter of square A, square B, and the composite figure. 6 Since the composite figure has two equal squares and has the same lengths of its sides, we can also use this formula: P = 4x side or P = 4 x s or P = 4s Ex. For Square A Side = 5 cm P = 4 x side P = 4 x 5 cm P = 20 cm Therefore, the Perimeter of Square A is 20 cm. For Square B P = 4 x side P = 4 x 5 cm P = 20 cm Therefore, the perimeter of Square B is also 20 cm. So, if you get the sum of the perimeter of the two squares. Square A + Square B P = 20 cm + 20 cm P = 40 cm. Therefore, the perimeter of the 2 squares is 40 cm. But if we are solving for the perimeter of the composite figure, composed of two squares, add all the sides. P = (length 1 + length2) +( width1 + width 2) P = (10 cm + 10 cm) + (5 cm + 5 cm) P = 20 cm + 10 cm P = 30 cm Therefore, the perimeter of the composite figure is 30 cm Example 2. Find the perimeter of the composite figure, figure A, B, and C. For Figure A, what are the measurements of its side? Figure A Length = 8 m Width = 6 m Simply add the measurements of the sides. P = length 1 + length2 + width1 + width2 P= (8m + 8m) + (6m + 6m) P = 16 cm + 12 cm P = 28m Therefore, the perimeter of Figure A is 28 m. 7 For Figure B, Side = 4 m P = side1 + side2 + side3 + side4 P = 4m + 4m + 4m + 4m P = 16 m. Therefore, the perimeter of Figure B is 16 m. For Figure C, Side = 4 m P = side1 + side2 + side3 + side4 P = 4m + 4m + 4m + 4m P = 16 m Therefore, the perimeter of Figure C is also 16m, What is the perimeter of the three quadrilaterals? Add all the perimeter of 3 figures P= Fig. A + Fig. B + Fig. C P = 28m + 16m + 16m P= 60 m Therefore, the perimeter of the 3 quadrilaterals is 60 m But if we are solving for the perimeter of the whole composite figure, we just simply add all the sides using this formula: Ex. P = (length1 + length 2) + (width1 + width2) P = (10 m + 10 m) + (8m + 8 m) P = 20 m + 16 m P = 36m Therefore, the perimeter of the whole composite figure is 36 m. Example 3. Determine the perimeter of: a) Figure A, b) Figure B, c) Figure C, and d) composite figure. Given: Figure A: Length= 10 cm Width = 9 cm Figure B Side1 = 5cm Side2 = 9 cm Side 3 = 10 cm Figure C Side1 = 5cm Side2= 9 cm Side3 = 10cm For Figure A, Length = 10 cm Width = 9 cm Add the measurements of the sides. P = length 1 + length2 + width1 + width2 P= 10cm + 10cm + 9cm + 9cm P = 38cm. Therefore, the perimeter of Figure A is 38 cm. 8  For Figure B, Side1 = 5 cm Side2 = 9 cm Side3= 10 cm P = side1 + side2 + side3 P = 5cm + 9cm + 10cm P = 24 cm Therefore, the perimeter of Figure B is 24 cm. For Figure C, Side1 = 5 cm Side2 = 9 cm Side3 = 10 cm P = side1 + side2 + side3 P = 5cm + 9cm +10cm P = 24 cm. Therefore, the perimeter of Figure C is also 24cm. Then, add all the perimeter of the 3 figures. Fig. A + Fig. B + Fig. C P = 38cm + 24cm + 24cm P= 86 cm Therefore, the perimeter of the figure is 86cm. But if we are solving for the perimeter of the whole composite figure, we add all the sides around the figure. P = s1 + s2 + s3 + s4 + s5 P = 10cm + 10cm + 9cm + 9cm + 10 cm P= 48 cm Therefore, the perimeter of the whole composite figure above is 48 cm. 3. Lesson Activity See Worksheet Activity No. 3 D. Making DAY 3 Generalizations 1. Learners’ Takeaways How did breaking down these composite figures into simpler shapes help in calculating the perimeter accurately? 2. Reflection on Learning Think about a real-world scenario where you might need to find the perimeter of a composite figure composed of triangles, such as designing a piece of art or planning a layout. How would understanding the properties of triangles help you in accurately determining the perimeter? 9 IV. EVALUATING LEARNING: FORMATIVE ASSESSMENT AND TEACHER’S REFLECTION NOTES TO TEACHERS A. Evaluating DAY 4 Answers: Learning 1. Formative Assessment Part I. I. Study the figure below and calculate the perimeter of each quadrilateral to find 1. B the perimeter of the whole composite figure. The measurements of the whole 2. B figure are given below. Analyze critically before answering the questions below. 3. C 4. C 5. C Part II. 1. A 2. D 3. D Measurements: Side 2 = 5 m Side 3 = 16m Side 4 = 18m 4. B Square side = 4m 5. C 6. B 1. What are the measurements of the sides of the trapezoid (Figure A)? 7. C A.8m, 9m,15m and 12m C. 4m and 8m 8. A B. 4m, 5cm,16cm, and 18 cm D. 9m 9. D 10. D 2. What are the measurements of the sides of the square? A. 8m, 9m,15m and 12m C. 4m and 8m B. 4m D. 9m 3. What are the measurements of the sides of the rectangle? (Figure C) A. 8m, 9m,15m and 12m C. 4m and 12m B. 4m D. 9m 4. What is the perimeter of the rectangle? (Figure C) A. 32m C. 36m B. 34m D. 38m 5. What is the perimeter of the composite figure composed of 3 quadrilaterals? A. 48m C. 50m B. 49m D. 51m 10 II. Analyze the figure below. Answer the following question. Measurements: Two Triangles: side 1= 20cm; side 2 = 18cm; side 3 = 15cm Two trapezoids: side1 = 19cm; side2 = 18cm; side3= 17cm; side4 = 16cm 1. What are the measurements of the sides of the triangles? A. 20cm,18cm, and 15cm C. 19cm, 18cm,15cm and 16cm B. 19cm,18cm, and 15cm D. 20cm, 19cm, and 16cm 2. What is the perimeter of the triangle (Figure A)? A. 50 cm B. 51 cm C. 52 cm D. 53 cm 3. What is the perimeter of the triangle (Figure B)? A. 50 cm B. 51 cm C. 52 cm D. 53 cm 4. What are the measurements of the sides of the quadrilaterals? A. 19cm, 18cm, 15cm, and 14cm C. 20cm, 19cm,18cm, and 15cm B. 19cm, 18cm,17cm, and 16cm D. 18cm, 17cm,16cm, and 15cm 5. What is the perimeter of the trapezoid (Figure C)? A. 50 cm B. 60 cm C. 70 cm D. 80 cm 6. What is the perimeter of the trapezoid (Figure D)? A. 80 cm B. 70 cm C. 60 cm D. 50 cm 7. What is the perimeter of the two triangles? A. 102 cm B. 104 cm C. 106 cm D. 108 cm 8. What is the perimeter of the two quadrilaterals? A. 140 cm B. 150 cm C. 160 cm D. 170 cm 9. What is the perimeter of the trapezoids and Figure A? A. 163 cm B. 173 cm C. 183 cm D. 193 cm 11  10. What is the perimeter of the composite figure composed of two triangles and two quadrilaterals? A. 104 cm B. 106 cm C. 108 cm D. 110 cm 2. Homework (Optional) B. Teacher’s Note observations on any The teacher may take note of Effective Practices Problems Encountered Remarks of the following areas: some observations related to the effective practices and strategies explored problems encountered after utilizing the different strategies, materials used, learner materials used engagement, and other related stuff. learner engagement/ interaction Teachers may also suggest ways to improve the different others activities explored/lesson exemplar. C. Teacher’s Reflection guide or prompt can be on: Teacher’s reflection in every Reflection principles behind the teaching lesson conducted/facilitated is What principles and beliefs informed my lesson? essential and necessary to Why did I teach the lesson the way I did? improve practice. You may also consider this as an input for students the LAC/Collab sessions. What roles did my students play in my lesson? What did my students learn? How did they learn? ways forward What could I have done differently? What can I explore in the next lesson? 12