Republic of the Philippines

Department of Education
Region IV-B MIMAROPA
DIVISION OF ROMBLON
ROMBLON NATIONAL HIGH SCHOOL
Bagacay, Romblon, Romblon, 5500

ROMBLON NATIONAL Grade Grade 9

School HIGH SCHOOL Level
Learning Mathematics
Teacher DEVON R. AUSTIN Area
Teaching Date and
Time AM Quarter Fourth Quarter

OBJECTIVES:
A. Content Standard The learner demonstrates understanding of
the basic concepts of trigonometry.
B. Performance Standard The learner is able to apply the concepts of
trigonometric ratios to formulate and solve
real -life problems with precision and
accuracy.
C. Learning Competency At the end of the lesson, the students
should be able to:
1. Finds the trigonometric ratios of special
angles
2. Understand and accurately calculate the
sine, cosine, and tangent values for specific
angles like 30°, 45°, and 60°,
3. Apply and appreciate trigonometric
ratios in solving problems involving real
life situation
I. CONTENT: TRIGONOMETRIC FUNCTION OF
SPECIAL ANGLES
LEARNING RESOURCES:
A. Learner’s Material 283-291 and 295-297
Pages Mathematics module quarter 3
B. Additional Materials
from learning resources Fundamental counting, Arts, Literacy
C. Integration
Materials Needed: Laptop, TV, Chalk,
Blackboard,padlock,box,cartolina,coupon
band,pentelpen or ballpen

Students
Teacher Activities Response
A. Routinary Activities 1. Prayer
 Good morning class! All: Good
morning,
Ma’am!
Before we start, let us pray first.
May I ask our prayer leader for Student:
today to lead the prayer? Our
Father…
Thank you. Amen.

2. Energizer
Please remain standing for our
energizer All: Dancing

I hope that everyone are now

ready for today’s lesson and activity
You may all now seat down.

3. Attendance
Let us now check your Leaders;
attendance. Leaders per major (no one’s
please report you attendance. Very absent
Good! Because no one is absent maam)
today.

B. Reviewing the previous To begin with a quick review can you Students;
lesson draw a basic right angled and
labeled the side? | \
b | \ c
Great job! Now, let’s label the | \
|____\
triangle. What should we call the a
sides?

Student
we should
label the
longest side as
the
hypotenuse,
right?

C. Presenting the new lesson Our new lesson for today was all Student
about trigonometric ratios of special Trigonomet
angles. We will learn how to find the ric ratios
trigonometric ratios for special are the
angles 30°, 45°, and 60°. relationship
s between
the angles
Who can tell me what trigonometric and sides
ratios are? of a
triangle,
That’s correct right?
D. Discussing new concepts Our topic is all about PERMUTATION
Kindly read the definition on the
board. Student;
Is an
arrangeme
nt of
objects in a
definite
Here is the formula to solve the order or the
permutation of n objects taken r at a order of
time. arrangeme
nt of
distinguish
able
objects
without
allowing
Where n is the total number of the repetitions
items and r is the number of items among the
being chosen. objects.

1. Ten Runners join in a race. In how

many possible ways can they be
arranged as 1st , 2nd ,3rd.
nPr 10P3= 720 ways
Student;
Another example? (Yes
ma'am)
2. In how many different ways can
eight different books be arranged on
a shelf?
8P8= 40,320.

Student;
UNDETSTAND (yes
ma'am)

Do you have any question? Student;

(none
Try this example number 3 ma'am)
3. A teacher wants to assign 4
different tasks to her 4 students. In
how many possible ways can she do Student;
it (4P4=24)S
.E. Presenting examples/ Lets have a group activity
instances of the new lesson GROUP DRILL
I will group you into 4,each group
will be given a problem that you will
perform but it will have a twist you
need to act according to the given
problem.
Student;
1) A sport event organizer is hosting 1. 8P3=336
a race with 8 participants. They
2. 6P2=30
want to award 3 prizes: 1st place,
3. 8P4=1680
2nd place, and 3rd place. How
many ways can 8 participant be 4. 5P3=60
assigned to the first,second and
third position. (Broadcast)
2) In Batang Quiapo series 6 cast
wants to be a role of Tanggol and
Ramon. In how many possible
ways can 8 cast be the 2 main
character. (Drama)
3) There are 8 basketball teams
competing for the top 4 standing
in order to move up to the semi-
finals. Find the possible rankings
of the four top teams. (talkshow)
4) You are organizing a school talent
show. There are 5 student who
auditioned for solo performance;
Sarah,Alex,Bella,Jake and Emma.
You want pick 3 student to
perform in the show and the
order in which you choose them
matters because the 1st
performer will go on stage
first,the 2nd will follow and the 3rd
will perform last. (Role-play)
F. Developing Mastery INDIVIDUAL PRACTICE!
(Leads to Formative
Assessment) 1. Yourschool newspaper has an
editor in chief and assistant editor in Student;
chief. The staff of the newspaper has ( 1. 12P2=132
12 student. In how many ways can 2. 9P4= 3024)
student be chosen for these two
position?
2. How many 4-digit numbers can be
formed from the digits
1,2,3,4,5,6,7,8 and 9 if no repetition
 is allowed?
G. Finding Practical
How can we apply permutation ?
Do you think its helpful to us? Student
(*Creating
password
or
arranging
letters and
numbers in
a
password .
*Ordering
object
example
arranging
Very good everyone so give yourself books in a
a five claps. shelf.)

Student;
clap,clap,cl
ap

H. Making generalizations
and abstractions about the Defined or explain in your own words Student;
lesson what permutation is. (permutatio
n is an
arrangeme
nt of the
object
where
order is
matter.)

I. Evaluating learning: Direction; Choose the letter that

Performance or Written you think bet answer.
Work 1. P(16,3)
a )1500 b )3360 Student;
2. P(9,3) 1) B
a )504 b )502 2) A
3. P(6,5) 3) B
a )700 b )720 4) A
4. P(15,4) 5) A
a )32760 b )32750
5. P(10,7)
 a )604800 b)604810
J. Assignments

Prepared by: Checked by:

Veena Marie Lucas Mrs. Rachel T.
Robis
Student Teacher Cooperating
Teacher