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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