GRADES 1 to
12
DAILY LESSON LOG
I. OBJECTIVES
A. Content Standards
B. Performance Standards
C. Learning Competencies/
Objectives (Write the LC
Code)
School JRLMHS
Teacher HANNAH MAE P. CORPUZ
Teaching Date MARCH 30, 2020
Grade Level GRADE 9
Learning Area MATHEMATICS
Quarter FIRST
Objectives must be met over the week and connected to the curriculum standards. To meet the objectives, necessary
procedures must be followed and if needed, additional lessons, exercises and remedial activities may be done for
developing content knowledge and competencies. These are assessed using Formative Assessment strategies. Valuing
objectives support the learning of content and competencies and enable children to find significance and joy in learning
the lessons. Weekly objectives shall be derived from the curriculum guides.
The learner demonstrates understanding of key concepts of quadratic equations,
inequalities and functions, and rational algebraic equations.
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.
The learners should be able to:


illustrates quadratic equations; and (M9AL-Ia-1)
Solves quadratic equations by (a) extracting square roots; (b) factoring; (c)
completing the square; and (d) using the quadratic formula (M9AL-Ia-b-1)
Learning Objectives:
1. illustrates quadratic equations; and
2. solve quadratic equations by extracting the square root and by factoring.
Content is what the lesson is all about. It pertains to the subject matter that the teacher aims to teach. In the CG, the
content can be tackled in a week or two.
II. CONTENT
III. LEARNING RESOURCES


ILLUSTRATES QUADRATIC EQUATIONS
SOLVING QUADRATIC EQUATIONS BY EXTRACTING THE SQUARE ROOT
AND BY FACTORING
List the materials to be used in different days. Varied sources of materials sustain children’s interest in the lesson and in
the learning. Ensure that there is a mix of concrete and manipulative materials as well as paper-based materials. Handson learning promotes concept development.
A. References
1. Teacher’s Guide pages
2. Learner’s Material pages
3. Textbook pages
4. Additional Materials from
Learning Resource portal
pp. 14-18; pp. 19-26; pp.27-33
pp. 11-14; pp. 15-23; pp. 24-27
B. Other Learning Resources
IV. PROCEDURES
These steps should be done across the week. Spread out the activities appropriately so that the students will learn well.
Always be guided by demonstration of learning by the students which you can infer from formative assessment activities.
Sustain learning systematically by providing students with multiple ways to learn new things, practice their learning,
question their learning processes and draw conclusions about what they learned in relation to their life experiences and
previous knowledge. Indicate the time allotment for each step.
A. Reviewing previous
lesson or presenting a
new lesson (Elicit)
B. Establishing a purpose for
the lesson (Engage)
Motive Questions:
1. How did you find each product? (expected answer: The different methods of
finding products of polynomials are used such as distributive property, FOIL
method …)
2. How would you describe the products obtained? (expected answer: Each product
is a polynomial)
3. What common characteristics do these polynomials have? (expected answer :
Each polynomial contains one variable)
4. Why do you think there is a need to perform such mathematical tasks? ( answers may
vary )
C. Presenting
examples/instances of the
new lesson (Explore)
D. Discussing new concepts
and practicing new skills #1
(Explain)
ILLUSTRATING QUADRATIC EQUATION:
ACTIVITY!!!
A) Direction: Write each Quadratic equation in standard form and identify the
quadratic term , the linear term, constant term, a, b, and c. Write your answer in
the given table :
(Expected answers are highlighted)
a) x2 = 5x -6
d) 5x2 = -8x
b) 2(3x2 -1)=6x + 5
c) y(y-7)=44
Standard
Quadratic Linear Constant Values
form of
term
term
term
of
equation
a,b,& c
a)x2-5x +6=0
b)6x2-6x-9=0
x2
6x2
-5x
-6x
+6
-9
1,-5,6
6,-6,-9
c)y2-7y-44=0
y2
-7y
-44
1,-7,-44
d)5x2+8x=0
5x2
5x2
0
5,8,0
B. Which of the equations are considered complete? Incomplete
Expected answers :
Complete : c,d
Incomplete : a,b
3. When do you consider an equation as complete? Incomplete?
Expected answers :
Quadratic equations are complete if the linear term, and
constant term are not zero.
Quadratic equations are incomplete if either of the
linear term, and constant term is not zero or both
zero.
BY EXTRACTING THE SQUARE ROOT:
Learn To Solve Quadratic Equation!!
Direction: Use the quadratic equations below to answer
the questions that follow.
2
1) x = 36
2)t2 -64 =0
2
3) 2s -98 =0
4) r2 =0
2
5) w = -9
Questions : ( answers are highlighted)
a) Describe and compare the given equations. What
statement can you make?( The equations are all
quadratic and the linear term in each equation is
zero)
b)Determine the values of each variable to make each
equation true. 1)6, 2)8 3)7, 4)0, 5)3√−1 )
c) How many solutions does each equation have ? (two)
Explain your answer.(The square of any integer is
positive)
d) What can you say about each quadratic equation?(All
equations are of the forms ax 2 + c=0 or ax2 =0)
E. Discussing new concepts
and practicing new skills #2
(Explain)
ACTIVITY: EXTRACT ME!!!
Direction : Apply the given steps to solve each quadratic
equation.
Steps : a) Write the equation in the form ax2 = c
b) If a is not equal to make it equal to one by
dividing both sides of equation by the value of
a.
c) Extract the root to find the value of the variable
d) Check by substituting each root in the original
equation.
1) x2 -144 = 0
2) 4x2 – 144 = 0
3)( x- 4)2 = 225
4) ( 25 – 1)2= 225
Expected Answers:
1) x=12
2) x=15
3)x=17,x=-9
4) x=8,x=-7
BY FACTORING:
Present the following examples:
1) x2-6x+8=0
Solution:
a. find the factors of the left member of equation: (x-4)(x-2)=0
b. apply the zero product property : (x-4)=0; (x-2)=0
c. solve each resulting equation :
x-4=0→ x=2
x-4=0 → x=2
solution:{4,2}
d. check the values of the variable obtained by substituting
each in the equation :
4
2
42 -6(4) + 8 =0
22 -6(2) + 8 =0
16 – 24 + 8 =0
4 – 12 + 8 =0
0 =0
0=0
2
2) ( x+ 2) = 9
Solution:
a. find the product and equate to zero :
x2 +4x +4 = 9
x2 +4x – 5 = 0
b. find the factors of the left member of equation(x+4)(x-1)=0
c. apply the zero product property :
(x+5)=0; (x-1)=0
d. solve each resulting equation :
: x+5=0 ; x-1= 0
x= -5 : x=1
solution:{−5,1}
e. check the values of the variable obtained by substituting
each in the equation :
-5
1
2
(-5 + 2) = 9
( 1 + 2)2 = 9
-32 = 9
32 = 9
9=9
9=9
F. Developing mastery (Leads
to Formative Assessment)
(Elaborate)
G. Finding practical
applications of concepts and
skills in daily living
(Elaborate/Extend)
H. Making generalizations and
abstractions about the lesson
(Explain/Elaborate)
Written Test :
A. Write each Quadratic equation in standard form and identify the quadratic
term, the linear term, constant term, a, b, and c, then identify further if it is
complete or incomplete. Write your answer in the given table:
I. Evaluating learning
(Evaluation)
Standard
form of
equation
Qua
drati
c
term
Line
ar
term
Const
ant
term
Values
of a,b,&
c
Complet
e (C) or
Incomple
te(inc)
( Expected answers are highlighted)
Standard
Qua Line Const
form of
drati ar
ant
equation
c
term term
term
Values
of a,b,&
c
Complet
e (C) or
Incomple
te(inc)
2x2-2x-5=0
5x2+7x1=0
2x2-2x-5=0
5x2+7x1=0
2x2
5x2
-2x
7x
-5
-1
2,-2,-5
5,7,-1
C
C
B. Solve each equation by extracting square roots:
1) x2=36 ( ans:  6)
2)(x+4)2 = 100 (ans:6,4)
C. Solve each quadratic equation by factoring.
1) x2 + x – 12 = 0
2)x2 -12x = 36
(Expected answers: 1) {−𝟒, 𝟑}
2) {𝟔, 𝟔})
J. Additional activities for
application or remediation
(Extend)
V. REMARKS
The lesson will be continued next meeting
VI. REFLECTION
Reflect on your teaching and assess yourself as a teacher. Think about your students’
progress this week. What works? What else needs to be done to help the students learn?
Identify what help your instructional supervisors can provide for you so when you meet
them, you can ask relevant questions.
A. No. of learners who earned
80% on the formative
assessment
B. No. of learners who require
additional activities for
remediation
C. Did the remedial lessons
work? No. of students who
caught up with the lesson
D. No. of learners who continue
to require remediation
E. Which of my teaching
strategies work well? Why did
these work?
F. What difficulties did I
encounter which my principal or
supervisor help me solve?
G. What innovation or localized
materials did I use/discover
which I wish to share with other
teachers?
Prepared by:
Checked by:
HANNAH MAE P. CORPUZ
Teacher III
ROMINA C. TOLENTINO
Master Teacher I
Reviewed by:
MILAGROS A. MALLARE
SSHT-VI, Mathematics
Noted by: