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Republic of the Philippines Department of Education REGION IV-A CALABARZON SCHOOLS DIVISION OF QUEZON QUEZON NATIONAL HIGH SCHOOL M.L. TAGARAO STREET, IBABANG IYAM, LUCENA CITY Learning Area Mathematics Learning Delivery Modality Face to Face School LESSON EXEMPLAR Teacher Teaching Date Teaching Time I. OBJECTIVES A. Content Standards B. Performance Standards C. Most Essential Learning Competencies (MELC) QNHS Ginalyn D. Beltran May 8 - 12, 2023 1:55 – 2:45 – SPS B 3:00-3:50 – Stargazer 3:50 – 4:40 – Carnation 4:40 – 5:30 – Canna Lily 5:30 – 6:20 - Chrysanthemum Grade Level 9 Learning Area Quarter Mathematics THIRD No. of Days 5 The learner demonstrates understanding of the basic concepts of trigonometry. The learner is able to apply the concepts of trigonometric ratios to formulate and solve real-life problems with precision and accuracy. 1. The learner illustrates the six trigonometric ratios: sine, cosine, tangent, secant, cosecant, and cotangent. M9GE-IVa-1 2. The learner finds the trigonometric ratios of special angles. M9GE IVb-c-1 At the end of the period, learners are expected to: 1. Recall the six trigonometric ratios; 2. Use scientific calculator to find the value of trigonometric ratios; 3. 3. Solve the missing parts of a right triangle applying the trigonometric ratios; and 4. Derive the values of trigonometric ratios of special angles using special right triangles. D. Enabling Competencies II. CONTENT III. LEARNING RESOURCES A. References a. Teacher’s Guide Pages b. Learner’s Material Pages c. Textbook Pages d. Additional Materials from Learning Resources B. List of Learning Resources for Development and Engagement Activities SOLVING RIGHT TRIANGLE/TRIGONOMETRIC RATIOS OF SPECIAL ANGLES LM Mathematics 9 TG 283 - 288 LM Mathematics 9 pp. 438 - 456 Math 9 Q4 R4A LeaP Week 2 Teacher’s Made activity sheet IV. PROCEDURES A. Introduction Review: Recall of 6 trigonometric ratios. Republic of the Philippines Department of Education REGION IV-A CALABARZON SCHOOLS DIVISION OF QUEZON QUEZON NATIONAL HIGH SCHOOL M.L. TAGARAO STREET, IBABANG IYAM, LUCENA CITY B. Development Republic of the Philippines Department of Education REGION IV-A CALABARZON SCHOOLS DIVISION OF QUEZON QUEZON NATIONAL HIGH SCHOOL M.L. TAGARAO STREET, IBABANG IYAM, LUCENA CITY C. Engagement Solve for the missing part of each triangle. Show your solution. Republic of the Philippines Department of Education REGION IV-A CALABARZON SCHOOLS DIVISION OF QUEZON QUEZON NATIONAL HIGH SCHOOL M.L. TAGARAO STREET, IBABANG IYAM, LUCENA CITY 1. D. Assimilation V. REFLECTION (Reflection on the type of Formative Assessment used for this particular lesson) REMARKS Continuation of last week performance task. Write a reflection on your journal by answering the “3- 2- 1 Prompt”. List the following details in your journal: 3 - things that you have learned from this lesson. 2 – questions that you still have. 1 – aspect of lesson that you enjoyed. Republic of the Philippines Department of Education REGION IV-A CALABARZON SCHOOLS DIVISION OF QUEZON QUEZON NATIONAL HIGH SCHOOL M.L. TAGARAO STREET, IBABANG IYAM, LUCENA CITY IV. PROCEDURES A. Introduction B. Development Day 2 : TRIGONOMETRIC RATIOS OF SPECIAL ANGLES Recall the concept of special triangles. Republic of the Philippines Department of Education REGION IV-A CALABARZON SCHOOLS DIVISION OF QUEZON QUEZON NATIONAL HIGH SCHOOL M.L. TAGARAO STREET, IBABANG IYAM, LUCENA CITY 1. The lengths of the two sides of 30° – 60° – 90° Right Triangle are 4 inches and 4√3 inches; find the length of the hypotenuse and the six trigonometric ratios. sin 30° = C. Engagement -Day 3 V. REFLECTION tan 30° = csc30° = sec 30° = cot 30° = sin 60° = cos 60° = tan 60° = csc 60° = sec 60° = cot 60° = 2. Calculate the right triangle’s side lengths, whose one angle is 45°, and the hypotenuse is 3√2 inches. Find the trigonometric ratios. sin 45° = D. Assimilation cos 30° = cos 45° = tan 45° = csc 45° = sec 45° = cot 45° = B. Let’s Analyze Answer each questions accordingly. 1. How many special right triangles are considered in the study of mathematics? 2. What is formed when the altitude of an equilateral triangle is drawn? 3. Describe the altitude of an equilateral triangle. 4. In a 30º-60º-90º triangle, state the relationship between the a. hypotenuse and the short leg. b. short leg and the long leg. c. hypotenuse and the long leg. 5. In the figure below, find the value of x and y. - The learner, in their notebook, will write their personal insights about the lesson Republic of the Philippines Department of Education REGION IV-A CALABARZON SCHOOLS DIVISION OF QUEZON QUEZON NATIONAL HIGH SCHOOL M.L. TAGARAO STREET, IBABANG IYAM, LUCENA CITY (Reflection on the type of Formative Assessment used for this particular lesson) - using the prompts below. I understand that ___________________. I realize that ________________________. I need to learn more about __________. REMARKS IV. PROCEDURES A. Introduction Day 2 : TRIGONOMETRIC RATIOS OF SPECIAL ANGLES Checking of home-based activity. B. Development From your previous lesson, you have learned about finding the values of trigonometric using special angles. To solve for the values of expressions involving trigonometric ratios of special angles, we should remember the values of trigonometric ratios of special angles 30o, 45o, and 60o angle. After we convert the values, we solve these equations using the laws of radicals. C. Engagement -Day 5 Please see attach copy. D. Assimilation Please see attach copy. V. REFLECTION (Reflection on the type of Formative Assessment used for this particular lesson) REMARKS - The learner, in their notebook, will write their personal insights about the lesson using the prompts below. I understand that ___________________. I realize that ________________________. I need to learn more about __________. Republic of the Philippines Department of Education REGION IV-A CALABARZON SCHOOLS DIVISION OF QUEZON QUEZON NATIONAL HIGH SCHOOL M.L. TAGARAO STREET, IBABANG IYAM, LUCENA CITY Prepared by: GINALYN D. BELTRAN Secondary School Teacher III Checked by: MARINA V. MENDOZA Master Teacher I Noted: REMEDIOS M. CABUNGCAL SSHT VI- Mathematics Department JESSIE V. VASQUEZ Principal IV