Republic of the Philippines

Department of Education
REGION II – CAGAYAN VALLEY
SCHOOLS DIVISION OF SANTIAGO CITY
SANTIAGO CITY NATIONAL HIGH SCHOOL
CALAOCAN, SANTIAGO CITY

Annex1B to DepEd Order No. 42, s. 2016

School Santiago City National High School Grade Level 9
GRADES 1to 12
Teacher Wennie A. Orbillo Learning Area Mathematics
DAILY LESSON LOG
Teaching Dates September 8-12, 2025 Quarter Second

Session 1 Session 2 Session 3 Session 4 Session 5

I.OBJECTIVES
A. Content Standards The learner demonstrates understanding of key concepts of quadratic equations, and rational algebraic equations inequalities and functions,
B. Performance Standards The learner is able to investigate thoroughly mathematical relationships in various situations, formulate real-life problems involving quadratic equations,
inequalities and functions, and rational algebraic equations and solve them using a variety of strategies.
C. Learning Competencies / Represents a quadratic Transforms the quadratic function defined by y=ax² + bx + c into the Graphs a quadratic function and determine the
Objectives. Write the LC function using: (a) table of form y=a(x-h)² +k. (M9AL-Ih-1) following: (a) domain; (b) range; (c) intercept;
code for each. values; (b) graph; and (c) (d)axis of symmetry; (e) vertex; (f) direction of the
equation. (M9AL-Ig-3) opening the parabola. (M9AL-Ig-h-i-1)

Introduction to Quadratic Quadratic Functions: Transforming from General to

II. CONTENT Graphs of Quadratic Functions
Functions Vertex/Standard Form and Vice Versa
III. LEARNING
RESOURCES
A. References
1. Teacher’s Guide pages
2. Learner’s Materials Pp.125-129 pp.129-139 pp.129-139 pp.140-155 pp.140-155
pages
3. Textbook pages
4. Additional Materials from
Learning Resource (LR)
portal
B. Other Learning Resources

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 Republic of the Philippines
Department of Education
REGION II – CAGAYAN VALLEY
SCHOOLS DIVISION OF SANTIAGO CITY
SANTIAGO CITY NATIONAL HIGH SCHOOL
CALAOCAN, SANTIAGO CITY

IV.PROCEDURES
A. Reviewing previous lesson Sagot Mo! Show Mo! Sagot Mo! Show Mo! Complete the table Given the quadratic functions
or presenting the new of values for x and and
lesson. Express each perfect Express each perfect square y.
square trinomial as the ,
square of a binomial. transform
trinomial as the square of a them into the form
1.
binomial. .
2.
1.

B. Establishing a purpose for 1. What are the differences It is customary to the Motive Question: Motive Question:
the lesson. of Quadratic equations Filipinos to buy famous How does the quadratic If we draw the graphs
and not Quadratic products every time they go function in the of the quadratic functions
equation base on the to a certain place. form can be
activity? Later you will find out transformed into the form and
2. How can you recognize a the local product of each
quadratic function when a Municipality by simply ?
,
set of equations are matching the quadratic 1.Which of the 2 quadratic
given? function. Motive functions has a minimum
Question: Given point? Maximum point?
Motive Question: the graph of a 2.Can you identify the domain
quadratic function and range of the functions?
Are you familiar with ,
the local product of each can you determine
municipality? the domain, range,
intercepts, axis of

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 Republic of the Philippines
Department of Education
REGION II – CAGAYAN VALLEY
SCHOOLS DIVISION OF SANTIAGO CITY
SANTIAGO CITY NATIONAL HIGH SCHOOL
CALAOCAN, SANTIAGO CITY

symmetry, vertex,
and direction of the
opening of the
parabola?
C. Presenting examples / The previous activities Express Express in the form Analyze the graph Describe My Paths!
instances of the new lesson. familiarized the students with in the form of a Complete the table of
the general form y = form. quadratic function values of x and y of the two
ax²+bx+c of a quadratic , and quadratic functions and
function so if an equation from and give the Solution 2: By Applying the
values of and . determine the
was written in vertex form y following: determine the domain,
= a(x-h)²+k we can express formula, and range, intercepts, axis of
the equation into standard symmetry, and the opening
form that will be more of the parabola
convenient to use when :
working on problems In the equation
x - 0 1 2 3
involving the vertex of the , 1
graph of a quadratic
and
function.
By substituting the solved values of and y
in
, we obtain
x 0 1 2 3 4
1. domain
(possible y
values of
x)
2. range(poss
ible values
of y)

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 Republic of the Philippines
Department of Education
REGION II – CAGAYAN VALLEY
SCHOOLS DIVISION OF SANTIAGO CITY
SANTIAGO CITY NATIONAL HIGH SCHOOL
CALAOCAN, SANTIAGO CITY

3. Intercepts
(points
where the
graph
passes the
x and y
axes)
4. equation of
the axis
ofsymmetr
y
5. vertex
(turning
point of the
graph)
6. highest /
lowest
point
obtained
by the
graph
direction of the
opening of the
parabola

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 Republic of the Philippines
Department of Education
REGION II – CAGAYAN VALLEY
SCHOOLS DIVISION OF SANTIAGO CITY
SANTIAGO CITY NATIONAL HIGH SCHOOL
CALAOCAN, SANTIAGO CITY

D. Discussing new concepts . Deriving the standard form The general form of a quadratic function The graph of a Analyze the graphs of the
and practicing new skills #1. from the general form of the is and the quadratic function quadratic functions
quadratic function standard form or vertex form and
is , where
is the vertex.

If and ,
(1,-4)
1. What have 1.What have you observed
you about the opening of the
observed graphs? Do you have any
about the idea where you can relate
opening of the opening of the curves?
the graph? 2.Observe each graph. Can
Do you you draw a line that divides
have any the graph in such a way that
idea where one part is a reflection of the
you can other part? If there is any,
relate the determine the equation of
opening of the line?
the 3.Take a closer look at the
curves? minimum point or the
2. What does maximum point and try to
the axis relate it to the values of h
ofsymmetr and k in the equation
y do to the

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 Republic of the Philippines
Department of Education
REGION II – CAGAYAN VALLEY
SCHOOLS DIVISION OF SANTIAGO CITY
SANTIAGO CITY NATIONAL HIGH SCHOOL
CALAOCAN, SANTIAGO CITY

graph of
quadratic
function?
3. Take a
closer look
at the
minimum
point or the
maximum
point
and try to
relate it to
the values of
and in
the equation

of the
function.
How will you
identify the domain
and range of the
functions?

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 Republic of the Philippines
Department of Education
REGION II – CAGAYAN VALLEY
SCHOOLS DIVISION OF SANTIAGO CITY
SANTIAGO CITY NATIONAL HIGH SCHOOL
CALAOCAN, SANTIAGO CITY

E. Discussing new concepts Transform the given Step by Step! Step by Step! Draw and
and practicing new skills #2. quadratic functions into the Describe Me!
Express in the
form Express Draw the graph
y = a(x-h)²+k by following form of a quadratic
the steps below. in by following the steps function
1. y = x² - 4x - 10 the form
2. y = 3x² - 4x + 1 and identify
by the vertex, domain,
range, and opening Draw and Describe Me!
following the steps Draw the graph of a
of the graph. State
whether the vertex quadratic function
is a and
identify

the vertex, domain, range,

and opening of the graph.
State whether the vertex is a
minimum or a maximum
point, and write the equation
of its axis of symmetry.

minimum or a
maximum point, and
write the equation of
its axis of symmetry
.

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 Republic of the Philippines
Department of Education
REGION II – CAGAYAN VALLEY
SCHOOLS DIVISION OF SANTIAGO CITY
SANTIAGO CITY NATIONAL HIGH SCHOOL
CALAOCAN, SANTIAGO CITY

Vertex Vertex _______

_______ Opening of the graph __
Opening of the Vertex is a ____
graph __ point Equation of the
Vertex is a axis of symmetry __
____ point Domain: ________
Equation of Range:
the axis of
symmetry __
Domain:
________

F. Developing mastery. (Leads 1. How do you find Transform Transform Draw the graph of a . The graph of
to Formative Assessment 3) transforming of general quadratic function is drawn ,
into the
form into vertex form in into the form identify the following:
general form? form and identify Vertex _______
2. How about transforming a following the steps. the vertex, domain, Opening of the graph __
vertex form following the steps
range, and opening Vertex is a ____
y = a(x-h)²+k into general of the graph. State point Equation of the
whether the vertex

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 Republic of the Philippines
Department of Education
REGION II – CAGAYAN VALLEY
SCHOOLS DIVISION OF SANTIAGO CITY
SANTIAGO CITY NATIONAL HIGH SCHOOL
CALAOCAN, SANTIAGO CITY

form. is a minimum or a axis of symmetry __

maximum point, Domain: ________
and write the Range:
equation of its axis
of symmetry

Narra St., Calaocan, Santiago City, 3311

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 Republic of the Philippines
Department of Education
REGION II – CAGAYAN VALLEY
SCHOOLS DIVISION OF SANTIAGO CITY
SANTIAGO CITY NATIONAL HIGH SCHOOL
CALAOCAN, SANTIAGO CITY

G. Finding practical Find out the local product of Draw the graph of a 1.Draw the graph
applications of concepts and each Municipality by Apply the formula quadratic function of a quadratic
skills in daily living. matching the quadratic and determine the function
function and in vertex, domain,
to its range, and opening
transforming a of the graph. State and
equivalent standard
function
d ti from general whether the vertex determine the following:
form f into is a minimum or a a. vertex
on the right side. form t d d maximum point, b. domain
Show your solution. and write the
c. range
equation of its axis
Group 1. d. opening of the graph
of symmetry.
e. equation of its axis of
Groups 1 and 2: symmetry
2.State whether the vertex is
Group 2 a minimum or a maximum
Groups 3 and 4: point

Groups 5 and 6:

H. Making generalizations and general form

abstractions about the lesson. y = ax² + bx + c
vertex form
y = a(x-h)² + k

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 Republic of the Philippines
Department of Education
REGION II – CAGAYAN VALLEY
SCHOOLS DIVISION OF SANTIAGO CITY
SANTIAGO CITY NATIONAL HIGH SCHOOL
CALAOCAN, SANTIAGO CITY

I. Evaluating learning. Apply the steps in Apply the steps in transforming the The graph of
transforming the following following quadratic functions into the is
quadratic functions into the Jaime, a Grade 10
form drawn ,
form student is a Sepak
Takraw player in
1. the Cavite
1. Provincial Meet. In
2.
one of his games
3.
he kicked the ball
forming a
parabolic path with
an
equation of
1.Identify the following:
Draw the graph and a. Vertex
determine the b. domain
following:
c. Range
1.domain
opening of the graph
2.range
J. Additional activities for
application or remediation.
V. REMARKS
VI. REFLECTION
A. Solving Quadratic Solving Quadratic Models of Quadratic Functions(ADM) Representing Models of Quadratic
Inequalities Inequalities & Notations Functions through Functions.
table of
values(ADM)
RELIANCE 28 RELIANCE RELIANCE RELIANCE

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 Republic of the Philippines
Department of Education
REGION II – CAGAYAN VALLEY
SCHOOLS DIVISION OF SANTIAGO CITY
SANTIAGO CITY NATIONAL HIGH SCHOOL
CALAOCAN, SANTIAGO CITY

B. No. of learners who earned PERSEVERANCE 23 PERSEVERANCE PERSEVERANCE PERSEVERANCE

80% in the evaluation. BELTRAN 30 BELTRAN BELTRAN BELTRAN

C. No. of learners who require RELIANCE 16 RELIANCE RELIANCE RELIANCE

additional activities for PERSEVERANCE 19 PERSEVERANCE PERSEVERANCE PERSEVERANCE
remediation who scored below BELTRAN 9 BELTRAN BELTRAN BELTRAN
80%.
D. Did the remedial lesson work? RELIANCE 14 RELIANCE RELIANCE RELIANCE
No. of learners who have
caught up with the lesson. PERSEVERANCE 12 PERSEVERANCE PERSEVERANCE PERSEVERANCE

BELTRAN 9 BELTRAN BELTRAN BELTRAN

E. No. of learners who continue RELIANCE 2 RELIANCE RELIANCE RELIANCE

to require remediation. PERSEVERANCE 5 PERSEVERANCE PERSEVERANCE PERSEVERANCE
BELTRAN 0 BELTRAN BELTRAN BELTRAN

F. Which of my teaching Learners prefer Need to be retaught due to the less

strategies worked well? collaborative learning like number of learners were able to
Why did these work? groupings or by pair. cope with the lesson due to the
present situation – affected by the
heavy rain and flood.
G. What difficulties did I Learners demonstrate
encounter which my poor mastery on the pre-
principal or supervisor requisite skills.
can help me solve?

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 Republic of the Philippines
Department of Education
REGION II – CAGAYAN VALLEY
SCHOOLS DIVISION OF SANTIAGO CITY
SANTIAGO CITY NATIONAL HIGH SCHOOL
CALAOCAN, SANTIAGO CITY

H. What innovation or
localized materials did I
use/discover which I wish
to share with other
teachers?

Prepared by: Checked by: Noted by: Approved by:

LIZLETTE IANNE L. SABLE JACKILYN M. ALAMBRA MT-II ARCHEL T. PASCUAL ELMERCHITA B. RIBUCA EdD
Teacher III HT-III/Asst.to the Principal-SHS HT-III/Asst.to the Principal-JHS Principal III

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