BRAZA POWERPOINT PRESENTATION FOR DEMO.pdf

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1. Republic of the Philippines
Department of Education
Caraga Region
DIVISION OF AGUSAN DEL NORTE
MAGALLANES NATIONAL HIGH SCHOOL
School ID: 304691


MAGALLANES NATIONAL HIGH SCHOOL
Address: P-6 Barangay Sto. Nino, Magallanes, Agusan del Norte
Telephone: [phone]
Email Address: [email protected]
Website: https://www.facebook.com/magallanesnationalhighsschoolagusandelnorte




DAILY
LESSON
LOG
School: MAGALLANES NATIONAL HIGH SCHOOL
Grade
Level:

8
Teacher: BEA Y. BRAZA
Learning
Area:

MATHEMATICS

Teaching Date/s:
OCTOBER 21/22, 2025

Quarter:
Week:

2
7
I. OBJECTIVES Annotation
(PPST-
RPMS-
COT)

A. Content Standards

The learners should have knowledge and understanding of triangle
inequality theorems.


B. Performance
Standards

By the end of the lesson, the learners are able to use the triangle
inequality theorems to establish results for angles and sides in
triangles. (MG)

C. Learning
Competencies

Objectives


Cognitive:

Affective:


Psychomotor:

Apply the triangle inequality theorems to establish results for angles
and sides in triangles.

At the end of the lesson, 80% of the students should be able to:

1. Explain the triangle inequality theorem and hinge theorem in their
own words.
2. Demonstrate appreciation of the importance of understanding
triangle inequalities and hinge theorem in our daily lives.
3. Illustrate accurately two triangles showing the conditions of the
triangle inequalities.


II. CONTENT

Triangle Inequality Theorems:
Hinge Theorem and its Converse


III. LEARNING
RESOURCES

2. Republic of the Philippines
Department of Education
Caraga Region
DIVISION OF AGUSAN DEL NORTE
MAGALLANES NATIONAL HIGH SCHOOL
School ID: 304691


MAGALLANES NATIONAL HIGH SCHOOL
Address: P-6 Barangay Sto. Nino, Magallanes, Agusan del Norte
Telephone: [phone]
Email Address: [email protected]
Website: https://www.facebook.com/magallanesnationalhighsschoolagusandelnorte
A. References
1. Teacher’s Guide Lesson Exemplar for Mathematics 8, Quarter 2 Week 7
2. Learner’s Materials
pages
Activity Sheets for Mathematics 8, Quarter 2 Week 7
B. Other Learning
Resources
Khan Academy Khanmigo Tools for Teachers.
https://www.khanacademy.org/teacher/khanmigo-tools
BYJU'S (2024, May 26). Triangle Inequality Theorem.
https://byjus.com/maths/triangle-inequality-theorem/
Hosch, W. L. (2026, May 26). triangle inequality. Encyclopedia
Britannica. https://www.britannica.com/science/triangle-inequality
Pierce, R. Math is Fun. (2022). Triangle Inequlity.
https://www.mathsisfun.com/geometry/triangle-inequality-
theorem.html
Study.Com (2024 May 26). Using the Hinge Theorem.
https://study.com/skill/learn/using-the-hinge-theorem-
explanation.html



IV. PROCEDURES


A. Preliminary
activities
Prayer and checking of attendance.
Classroom rules:
1. Listen when someone is speaking.
2. Respect classmates, teachers, and school property.
3. Follow directions the first time they are given.
4. Always do your best work.
PPST
Indicator
2.4.2: Manage
classroom
structure and
activities to
engage
learners
B. Reviewing previous
lesson or
presenting the new
lesson
Short Review: Triangle Card Sort
Directions: The students will work on pairs. The teacher will show
cards with different sets of three side lengths. They will be given one
minute to discuss on their seats then they will sort the cards into two
piles:
Triangle exists Triangle does not
exist



PPST
Indicator
3.1.2: Uses
PowerPoint
slides,
geometric
tools, and
visual aids.

Research-
based
strategy:
Collaborative
Learning:

3. Republic of the Philippines
Department of Education
Caraga Region
DIVISION OF AGUSAN DEL NORTE
MAGALLANES NATIONAL HIGH SCHOOL
School ID: 304691


MAGALLANES NATIONAL HIGH SCHOOL
Address: P-6 Barangay Sto. Nino, Magallanes, Agusan del Norte
Telephone: [phone]
Email Address: [email protected]
Website: https://www.facebook.com/magallanesnationalhighsschoolagusandelnorte
Note: For it to be a triangle, the sum of any two sides should be
greater than the third side.



Checking of students’ output and giving reinforcements.
Working in
pairs
encourages
peer teaching
and deeper
thinking
(Johnson &
Johnson,
1999).

PPST
Indicator
2.3.2: Uses
group work
and positive
reinforcement
C. Establishing a
purpose for the
lesson
Show the picture of a bridge. Then ask the
following questions:
1. What shapes do you see in the picture?
2. What do you think is our new lesson?




PPST
Indicator
1.1.2.: Relate
to real-life
contexts
D. Presenting
examples/instances
of the new lesson
Unlocking Content Vocabulary
▪ Hinge Theorem – If two sides of a triangle are congruent to
two sides of another triangle, and the included angle of the
first is larger than the included angle of the second triangle,
then the third side of the first triangle is longer than the third
side of the second triangle.
▪ Theorem - A theorem is a proposition or statement that has
been demonstrated to be true through a logical series of
arguments and reasoning, grounded on accepted
assumptions and previously proven theorems.
▪ Converse of a Theorem - A converse is essentially a theorem
in reverse when expressed in an if-then format. It involves
switching the IF and THEN parts of the original statement.
Therefore, if the original statement is IF this, THEN that, the
converse would be IF that, THEN this.
PPST
Indicator
1.1.2.:
Explains
Triangle
Inequality &
Hinge
Theorem
clearly

4. Republic of the Philippines
Department of Education
Caraga Region
DIVISION OF AGUSAN DEL NORTE
MAGALLANES NATIONAL HIGH SCHOOL
School ID: 304691


MAGALLANES NATIONAL HIGH SCHOOL
Address: P-6 Barangay Sto. Nino, Magallanes, Agusan del Norte
Telephone: [phone]
Email Address: [email protected]
Website: https://www.facebook.com/magallanesnationalhighsschoolagusandelnorte
E. Discussing new
concepts and
practicing new
skills #1
Tell Me Inequally!
Materials: Two Sticks/straws of unequal length, Rubber band.
Directions:
1. Take two sticks or straws of different lengths. Position them to
create an angle. Picture that the sticks are connected at point A with
a hinge, and their other ends, B and C, are joined by a rubber band.
2. As the hinge is opened wider, the rubber band ought to be
stretched.
3. What can you say about the length
of �� as ??????∠��� increase?


PPST
Indicator
1.5.2: Apply
strategies to
develop
critical and
creative
thinking. Asks
“predict what
happens to
the opposite
side if the
angle
increases?”
F. Discussing new
concepts and
practicing new
skills #2





PPST
Indicator
1.5.2: Apply
strategies to
develop
critical and
creative
thinking

5. Republic of the Philippines
Department of Education
Caraga Region
DIVISION OF AGUSAN DEL NORTE
MAGALLANES NATIONAL HIGH SCHOOL
School ID: 304691


MAGALLANES NATIONAL HIGH SCHOOL
Address: P-6 Barangay Sto. Nino, Magallanes, Agusan del Norte
Telephone: [phone]
Email Address: [email protected]
Website: https://www.facebook.com/magallanesnationalhighsschoolagusandelnorte
G. Developing
mastery
Examples:







PPST
Indicator
1.4.2.;
Applies
problem-
solving,
inquiry, and
hands-on
activities
H. Finding practical
applications of
concepts and skills
in daily living
Application: Kim and Toni are camping in a mountain park. One
morning, Kim decides to hike to a waterfall. He leaves the camp and
goes 5 km east then turns 15º south of east and goes two more km.
Toni also leaves the camp, but instead hikes 5 km west turns 35 º
north of west, and hikes two more km to the lake for a swim.

Question: Who is closer to the camp, Kim or Toni? Explain.
PPST
Indicator
1.1.2.:
Explains
Triangle
Inequality &
Hinge
Theorem
clearly and
relate to real-
life contexts.

I. Making
generalizations and
abstractions about
the lesson


Questions:
1. In your own words, what is Hinge
Theorem?
2. Do you remember the picture of the
bridge I’ve shown you? What is the
importance of understanding triangle
inequalities and hinge theorem in our daily
lives?
COT Indicator
5
PPST
Indicator 1.5.2
Apply
strategies to
develop
critical and
creative
thinking
Kim
Toni

6. Republic of the Philippines
Department of Education
Caraga Region
DIVISION OF AGUSAN DEL NORTE
MAGALLANES NATIONAL HIGH SCHOOL
School ID: 304691


MAGALLANES NATIONAL HIGH SCHOOL
Address: P-6 Barangay Sto. Nino, Magallanes, Agusan del Norte
Telephone: [phone]
Email Address: [email protected]
Website: https://www.facebook.com/magallanesnationalhighsschoolagusandelnorte
J. Evaluating learning


PPST Indicator
5.1.2 Design,
select,
organize, and
use diagnostic,
formative, and
summative
assessments
K. Additional activities
for application or
remediation
(For SNED or Special Needs Education Students if there is any.)













This additional activity focuses on accessibility and understanding
designed for students that belong to SNED.
COT Indicator
4: Design,
adapt and
implement
teaching
strategies that
are
responsive to
learners with
disabilities,
giftednedd
and talents.

V. REMARKS



VI. REFLECTION


A. No. of learners who earned
80% in the evaluation

7. Republic of the Philippines
Department of Education
Caraga Region
DIVISION OF AGUSAN DEL NORTE
MAGALLANES NATIONAL HIGH SCHOOL
School ID: 304691


MAGALLANES NATIONAL HIGH SCHOOL
Address: P-6 Barangay Sto. Nino, Magallanes, Agusan del Norte
Telephone: [phone]
Email Address: [email protected]
Website: https://www.facebook.com/magallanesnationalhighsschoolagusandelnorte


Prepared by:


BEA Y. BRAZA
Teacher II/ Teacher V Applicant


B. No. of learners who require
additional activities for
remediation

C. Did the remedial lessons
work? No. of learners who
have caught up with 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
use/discover which I wish
to share with other
teachers?