Annex 1B to DepEd Order No. 42, s.
2016
GRADES 1 to 12 School ABUNO NATIONAL HIGH SCHOOL
DAILY LESSON LOG Teacher EDNA REGIE G. BANAGLORIOSO
Teaching Dates and Feb. 12-14, 2025
Time
DAY 1 DAY 2 DAY 3 DAY 4 DAY 5
I. OBJECTIVES
A. Content Standards The learner demonstrates understanding of the basic concepts of trigonometry.
B. Performance The learner is able to apply the concepts of trigonometric ratios to formulate and
Standards solve real-life problems with precision and accuracy.
C. Learning ( M9GE-IVa-1) ( M9GE-IVa-1)
Competencies/Objecti a. Apply a. Determine the
ves trigonometric ratios conditions that
Write the LC code for to solve right make a
each triangles. quadrilateral a
b. Find the parallelogram
missing sides and b. Apply the
angle given the conditions to prove
hypotenuse and a that a quadrilateral
leg. is a parallelogram
c. Appreciate c. Show
trigonometric ratios camaraderie in
in solving real life doing the activity
problems.
Apply trigonometric
Apply trigonometric
ratios to solve right
ratios to solve right
triangle given the
II. CONTENT triangle given the
length of
length of hypotenuse
hypotenuse and an
and a leg.
acute angle.
III. LEARNING
RESOURCES
A. References
1. Teacher’s Guide
279 279
pages
2. Learner’s Materials
437 437-438
pages
3. Textbook pages E-math Advanced
Algebra and
Trigonometry, page
231-232
4. Additional
Materials from
Learning Resource
(LR) portal
B. Other Learning
Resources
IV. PROCEDURES
A. Reviewing previous MOTIVATION RECALL
lesson or presenting Directions: Find the
the new lesson How many right word related to right
triangles do you see? triangle and
trigonometric ratios.
The words may be
written forward,
backward, upward,
downward,
horizontally,
vertically, or
diagonally.
RECALL (9 WORDS)
Directions: Find the 6
trigonometric
functions of the
triangle.
Give the measure
of the other acute
angle of right ∆
ACB.
1. A = 450
2. B = 250
3. A = 190
4. A = 620
5. B = 300
B. Establishing a ACTIVITY GROUP ACTIVITY
purpose for the Given the cut-out right A 60-foot ramp is
lesson triangles, find the used to load cargo
unknown length and onto an airplane. If
unknown angles using the ramp makes a
a ruler and a 25⁰ angle with the
protractor. ground, how far
away from the
plane is the bottom
of the ramp?
Motive questions:
1. Was it easy for you
to find the unknown
length and
unknown angle of
the right triangle President Duterte
given to your thinks….
group?
2. Without using a The side involved
ruler and a are the hypotenuse
adjacent to ∠A.
protractor, do you and the leg
think you can able
to find the unknown He will use the
side and angle? cosine ratio
3. What technique you
will use to find the adjacent
cos A =
unknown side and ℎypotenuse
angle?
Vice President
Robredo thinks….
is opposite ∠B. But
The missing length
measure of ∠A.
we have the
Since the sum of
the measures of the
three angles of a
triangle is 180,
m∠B = 65.
She will use the
sine ratio
opposite
sin B =
ℎpotenusey
1. Who used
the correct
trigonometric
ratios?
2. Continue
answering the
problem to find out
who is correct,
President Duterte
or Vice President
Robredo?
C. Presenting Solving a right triangle
examples/instances of means finding the Example:
the new lesson measure of the Triangle BCA is
c = 27 and ∠A =
remaining parts. right-angled at C if
Example: 58º find ∠B, b, and
Triangle BCA is right- a.
and b = 17, find ∠A,
angled at C. If c = 23 Solution: Sketch a
figure:
∠B and a. Express
your answers up to
two decimal places.
Solution: Sketch a
figure:
since B and ∠A
a. To find B,
are
complementary
∠B + ∠A = 90⁰
angles, then
∠B = 90⁰ -
adjacent side of ∠A;
a. Side b is the
∠B = 32⁰
58⁰
c is the hypotenuse
of right triangle BCA.
Use CAH, that is b.
adjacent
cosθ= T
adjacent ℎypotenuse
cos θ =
ℎypotenuse o find b, since b
side of ∠A and c
b is the adjacent
cos A =
c
17 is the
cos A =
23 hypotenuse of
cos A = 0.7391 right triangle
A = cos-1 (0.7391) BCA then CAH.
A = 42.34°
b
b. Since in part cos A =
c
(a), it was already b
found that ∠A = cos 58⁰ =
27
42.34°, then ∠B = b = 27 cos 58⁰
90° - 42.34° b = 27 (0.5299)
∠B = 47.66o b = 14.31
c. Using the
Pythagorean c. To find a,
Theorem: since a is the
∠A and c is the
a² + b² = c² opposite side of
a2 + (17)2 = (23)2
a² + 289 = 529 hypotenuse of
a² = 529 – 289 right triangle
a² = 240 BCA, then SOH.
a = √ 240 opposite
sin θ=
a = 15.49 ℎypotenuse
a
sin A =
c
a
sin 58⁰=
27
a = 27 sin 58⁰
a = 27 (0.8480)
a = 22.9
D. Discussing new Directions: Solve the Directions: Solve
concepts and right triangle given a = the missing side of
practicing new skills 12 and c = 27. the right triangle
#1 given.
E. Discussing new Directions: Solve
concepts and each of the following
practicing new skills right triangles. Give
#2 the lengths of the side
to two decimal places
and angles in degrees Directions: Solve
and minute. each of the
following right
1. triangles. Give the
2. lengths of the side
to two decimal
places and angles
in degrees and
minute.
1.
2.
F. Developing mastery
(Leads to Formative
Assessment 3)
G. Finding practical Group Activity Group Activity:
applications of A ladder 15 m long To be safe, a 20 ft-
concepts and skills in rests against a tree. ladder should not
daily living How tall is the tree? If incline more than
the foot of the ladder 70⁰ angle with the
is 7 m long from the ground. Suppose
base of the tree. Find the ladder is leaned
the angle the ladder against a wall at
makes with the this angle, as
ground? shown below. Find
(a) the distance b
from from the base
of the wall to the
foot of the ladder
and (b) the height a
reached by the
ladder.
H. Making Six Trigonometric Six Trigonometric
generalizations and Ratios Ratios
abstractions about opposite side sin =
the lesson sin ∅ = csc =
ℎypotenuse
ℎypotenuse cos =
csc ∅ = sec =
opposite side
adjacent side tan =
cos ∅ = cot =
ℎypotenuse
ℎypotenuse
sec ∅ = Here are some
adjacent side steps which are
opposite side useful in solving
tan ∅ =
adjacent right triangles.
adjacent side 1. Draw a right
cot ∅ =
opposite side triangle.
Here are some steps 2. Label the
which are useful in sides and the
solving right triangles. vertices of the right
1. Draw a right triangle.
triangle. 3. Enter the
2. Label the sides given data in the
figure.
and the
4. Use the
vertices of the
appropriate
right triangle. trigonometric
3. Enter the given functions to find the
data in the unknown parts of
figure. the triangle.
4. Use the (Refer to e-math -
appropriate Advanced Algebra
trigonometric and Trigonometry
functions to by Orlando A.
find the Oronce and Marilyn
unknown parts o. Mendoza)
of the triangle.
(Refer to e-math -
Advanced Algebra
and Trigonometry by
Orlando A. Oronce
and Marilyn o.
Mendoza)
I. Evaluating learning QUIZ QUIZ
Sketch a figure
and solve each
right triangle ABC
with right angle at
C, given that:
1. A = 15⁰ and
Use the given figure c = 37
to solve the remaining 2. B = 64⁰ and
parts of right triangle c = 19.2
ACB. 3. A = 15⁰ and
c = 25
4. A = 45⁰ and
1. b = 17 cm and c = 16
c = 23 cm 5. B = 56⁰ and
2. c = 16 and a = 7 c = 16
3. b = 10 and c = 20
4. b = 6 and c = 13
5. c = 13 and a = 12
J. Additional activities Assignment: Assignment:
for application or 1. Study Follow-Up
remediation How to apply A kite has a string
trigonometric ratios to 400ft. long. If the
solve right triangle string makes an
given the length of the angle of 420 with
hypotenuse and an the ground, find the
acute angle. height of the kite to
the nearest foot.
V. REMARKS
VI. REFLECTION
A. No. of learners who
earned 80% in the
evaluation
B. No. of learners who
require additional
activities for remediation
C. Did the remedial lessons
work? No. of learners who
have caught up in the
lesson
D. No. of learners who
continue to require
remediation
E. Which of my teaching
strategies worked well?
Why did these work?
F. What difficulties did I
encounter which my
principal or supervisor
can help me solve?
G. What innovation or
localized materials did I
used/discover which I
wish to share with other
teachers?
