Annex 1c to DepEd Order No. 42 , s.

2016

GRADE 1 to 12 School MAHAYAG NATIONAL HIGH SCHOOL Grade Level Nine

DAILY LESSON LOG Teacher JINNA P. CESPON Learning Area Mathematics
Teaching Dates and Time Week 2 Quarter First

DAY 1 DAY 2 DAY 3 DAY 4 DAY 5

I. OBJECTIVES 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.

A. Content Standard The learner demonstrates understanding of key concepts of quadratic equations , inequalities and functions and rational algebraic
equations.
B. Performance Standard 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 Competency/Objectives 3. Characterize the roots 3. Characterize the roots 3. Characterize the roots 3. Characterize the roots
Write the LC code for each. of a quadratic equation of a quadratic equation of a quadratic equation of a quadratic equation
using the discriminant. using the discriminant. using the discriminant. using the discriminant.
3.1 Translate the 3.2 Determine the 3.2 Determine the M9Al-Ic-4
quadratic equations in nature of the roots of the nature of the roots of
standard form. quadratic equation using the quadratic equation
M9AL-Ic-1 the discriminant. using the discriminant.
M9AL-Ic-2 M9Al-Ic-3
II. CONTENT
Patterns and Algebra Patterns and Algebra Patterns and Algebra Patterns and Algebra
III. LEARNING RESOURCES
A. References

1. Teacher’s Guide pages 39-40 40-44 40 - 44

2. Learner’s Materials pages 56-58 58-64 58-64
3. Textbook pages Intermediate Algebra Geometry
Pages 52-56
4. Additional Materials from
Learning Resource (LR)portal
B. Other Learning Resource DLP Learning Activity DLP Learning Activity DLP Learning Activity
Sheet No. 8 Sheet No 9 Sheet No 9
IV. PROCEDURES These steps should be done across the week. Spread out the activities appropriately so that 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,
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Annex 1c to DepEd Order No. 42 , s. 2016

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 Present the new lesson. Conduct a review on: Solving Conduct a review on:Solving
presenting the new lesson The Nature of the Roots of a Quadratic equation by using Quadratic equation by using
Quadratic Equation the quadratic formula. the quadratic formula.
Review on the real number
system.

B. Establishing a purpose for the Which are real? Which Ask the following Ask the following
lesson are not? questions: questions:
√−15 , 24.5 , 7 , 289, 5 1.)To describe the nature of 1.) Is it necessary to
8 12 the roots of a quadratic determine first the
equation is it necessary to roots?
√ 25 , √15/9 , √ 35 determine first the roots? 2.) What part of the
Which of the numbers
above are familiar to you? 2.) From what part of quadratic formula
Why?Describe this numbers. quadratic formula can the can the expression
Which of the numbers expression b2 -4ac found? b2 4ac be found?
are real?Which are not real? 3.) How do you call this 3.) What do you call to
Which of the numbers equation? these expressions?
are rational? Irrational?
Explain your answer.
Which of the numbers
are perfect square?
not perfectsquares?
C. Presenting examples/Instances of Examples: Write the Activity: Know my Nature! Activity: Know my Nature!
the new lesson following quadratic The class will be grouped into The class will be grouped
equations in standard four. Each group will be given into four. Each group will be
form,ax2+bx+c=0, then a quadratic equation.They given a quadratic
are to solve the roots and the equation.They are to solve
identify the values of a, b,
discriminant and present their the roots and the
and c. answers on the board. The discriminant and present
1.)x2+5x=4 3.)10x-1=4x2 table will provided their answers on the board.
2.)-4x2=8x-3 4.)3x(x-14)=1 The equations are: The table will provided
1.) 2x2 + x -21 = 0 The equations are:
2.) 4x2 + 4x + 1=0 1.) X2 -3x +5 = 0
3.) X2 – 2x – 2 = 0 2.) 5p2 + 2p – 3 =0

D. Discussing new concepts and How did you write each Were you able to evaluate Did you able to
practicing new skills # 1 equation in standard the expression evaluate the expression
b2-4ac given the values of b2-4ac given the values of
form?
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Annex 1c to DepEd Order No. 42 , s. 2016

What are the things a,b, and c? a,b, and c?

that you have to consider What do you think is the What do you think is
in writing the equation importance of the expression the importance of the
b2 – 4ac in determining the expression
into standard form?
nature of the roots of b2 – 4ac in determining the
quadratic equation? nature of the roots of
quadratic equation?

E. Discussing new concepts Aside from your answer, Complete the table below How would you describe
practicing new skills # 2 do you think there is another using your answers in the The roots of quadratic
way of writing each equation activity: Know my Nature equation when the value of
in standard form? If YES, Equa- b2-4ac Roots b2 – 4ac is 0?
show then determine the tion Which quadratic
values of a, b, and c. 1. equation has roots that are
2. real numbers and equal?
3. Rational numbers?irrational
How would you describe numbers?not real numbers?
The roots of quadratic
equation when the value of
b2 – 4ac is 0?
Which quadratic
equation has roots that are
real numbers and equal?
Rational numbers?irrational
numbers?not real numbers?
F. Developing mastery C an you identify which of Determine the nature of Determine the nature of the
(leads to Formative Assessment the following equations are the roots of the following roots of the following
3) not written in standard form ? quadratic equations using the quadratic equations using
If YES, then translate each discriminant. the discriminant.
equation in standard form 1.)x2 + 6x + 3 = 0 1.)b2 + 2b -1 = 0
and identify the values of a,b, 2.)2x2 -10x + 8 = 0 2.)3m -5m + 2 = 0
and c. Ask.How did you determine Ask.How did you determine
1.) 15+8x=3x2 the nature of roots of each the nature of roots of each
2.) 2m2= 5m -3 quadratic equation? quadratic equation?
3.) 4p2 + 7p=10 How does the knowledge How does the knowledge
of the discriminant help you of the discriminant help you
in determining the nature of in determining the nature of
the roots of any quadratic the roots of any quadratic
equation? equation?
G. Finding practical application of Can you write each equation Describe the nature of the Describe the nature of the
concepts and skills in daily living. in standard form, ax2 bx +c=0 roots of the following roots of the following
and identify the values of a, quadratic equations: quadratic equations:
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Annex 1c to DepEd Order No. 42 , s. 2016

b, and c? 1.) 2x2 + x – 21=0 1.) x2 + 7x + 10 = 0

1.) 2x2 + 5x = 4 2.) 4x2 + 4x + 1= 0 2.) x2 + 2x +5 = 0
2.) n2 – 6 = 3n 3.) X2 – 2x – 2 =o 3.) x2 – 4x + 4 = 0
3.) 3x = 8 – 5x2 4.) 9x2 + 16 = 0 4.) 9x2 -6x = -9

H. Making generalizations and Define a quadratic equation. The lesson provided the The lesson provided the
abstractions about the lesson Differentiate linear equations students with opportunities to students with opportunities
from quadratic equations. describe the nature of the to describe the nature of the
What are the values of a, b, roots of quadratic using the roots of quadratic using the
and c in the given equation? discriminant even without discriminant even without
solving the equation.? solving the equation.?
Refer to LM activity 2: Math Refer toLM activity 7: Refer toLM activity 7: Determine the nature of
I. Evaluating learning A, B, C? page 57 Do numbers 6-8 page 62 Do numbers 7-10 page 62 the roots of the following
quadratic equations using
the discriminant.
1.)x2 + 6x + 3 = 0
2.)2x2 6x + 4 = 0
3.)3x2 – 5x = -4
4.)10x2 – 4x = 8
J. Additional activities for application
or remediation
1.) REMARKS
2.) 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 them
relevant questions.
A. No. of learners who earned 80%
in the evaluation
B. No. of learners who require
additional activities for
remediation who scored below
80%
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
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Annex 1c to DepEd Order No. 42 , s. 2016

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?

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