School: Iloilo City National High School
Teacher: Beverly Rose S. Bedro
Teaching Date: August 12, 2024
Grade Level and Section: Grade 9
Learning Area: Mathematics
Quarter First
The learner demonstrates understanding of key concepts of quadratic equations,
Content Standard inequalities and function, and rational algebraic equations.
The learner is able to investigate thoroughly mathematical relationships in various
Performance Standard situations, formulate real- life problems involving quadratic equations, inequalities and
functions, and rational algebraic equations and solve them using a variety of strategies.
Competency Competency 1: Illustrates quadratic equations (M9AL-Ia-1)
I. OBJECTIVES
Knowledge: Give the steps in transforming quadratic equations in standard form.
Skills: Write quadratic equations in standard form.
Affective: Observe standard in describing quadratic equations.
II. CONTENT STANDARD FORM OF QUADRATIC EQUATION.(M9AL-Ia-1)
III. LEARNING RESOURCES
A. References
1. Teacher’s Guide Teacher’s Guide (TG) in Mathematics 9, pp. 14-18
Pages
2. Learner’s Learner’s Module (LM) in Math 9, pp. 15-17
Materials Pages
3. Textbook Pages Intermediate Algebra p.45
4. Additional EASE Module Second Year Quadratic Equations Module 3 Chapter 2 Quadratic
Materials Equations pp.44-46
Attachment
5. Learning LRMDS, QUADRATIC EQUATIONS
Resources (LR)
portal
B. Other Learning Integrated Mathematics III
Resources Intermediate Algebra pp.41-48
IV. PROCEDURES
A. Reviewing or ACTIVITY 1:
presenting the new Divide the class into groups of five members.
lesson *Study each equation2 carefully.
a) x + 5x – 6 = 0 e) 3x2 -5x = 1
2
b) 5 – 3x = x f) –x + 2 = 0
c) 2x + x = 0 g) x2 = 5x – 6
2
d) x = 2 + 3x h) 9x= 18
* Group the equations into two and call it Set A and Set B?
* What is your basis of grouping the equations?
B. Establishing a Motive Questions: (refer to the quadratic equations in
purpose for the activity 1 to answer each question below)
lesson What have you observed about the Quadratic Equations in activity 1?(possible
answer: the degree of each equation differs)
Are these equations written in standard forms?
(expected answer : no)
How can you tell if an equation is written in standard form?(expected answer: if
it is written in the form ax+c=0 or ax2+bx=c=0)
C. Presenting ACTIVITY 2: Set me to your standard!
examples of the (use the same grouping as in activity 1 in this activity)
new lesson Write each quadratic equation in standard form, ax2+bx+ c = 0.
1. 3x – 2x2 = 7 4. 2x(x+4)=(x-3)(x-3)
2. 5 - 2x2 = 6x 5. (2x -1)2 =(x – 1)2
3. (x + 3)(x + 4) = 0 6. (x + 2)2 = 3(x – 2)
QUESTIONS:
1. How did you write each quadratic equation in standard form?(Possible answer:
by applying mathematical concepts/principles previously learned)
2. What mathematical concepts or principles did you apply? Discuss how you
applied these mathematical concepts or principles.(Possible answers: special
products, rule on transposition rule)
3. Which quadratic equations did you find difficult to write in standard form?
Why?( answers may vary)
D. Discussing new The teacher discusses the concepts of writing quadratic equations in standard form.
concepts and Steps in writing quadratic equations in standard form:
practicing new
skills #1 S1 Find the product applying the mathematical concepts on special products. (if
written as factors)
S2 Transform into the form ax2 + bx + c = 0 applying the transposition rule.
E. Discussing new ACTIVITY 3:
concepts and Ask the students to work in pairs.
practicing new Direction: Write each quadratic equation in standard form, ax2+bx+ c = 0.
skills #2 1. (2x+7)(x-1)=0 4. (x-4)2 + 8 = 0
2. 2x(x-3) = 15 5. (x+7)(x-7)= - 3x
3. 6-2x+3x2=0 6. (x+2)2 =0
F. Developing Mastery ACTIVITY 3: Group Activity(answers are highlighted)
Use the same grouping as in activity 1.
Fill up the table .
GIVEN PRODUCT STANDARD
FORM
28 = x(x + 3) 28= x2 + 3x x2 + 3x – 28=0
2
x(x+ 3) – 5 = 0 x +3x-5 = 0 x2 +3x-5 = 0
2
(x - 4)(x - 2) = 0 x -6x+ 8 = 0 x2 -6x+ 8 = 0
G. Finding practical ACTIVITY 4: Group Activity.
applications of Why is there a need to study the different forms of quadratic equations? What is its
concepts and skills implication to life?
in daily living ( Answers may vary )
H. Making Guide Question for Generalization:
Generalizations
and abstractions What are the steps in writing quadratic equation into standard form?
about the lesson (Expected answer:
Steps to follow:1. Find the product. 2. Transform into the form ax2+ bx + c = 0
applying the transposition rule.)
I. Evaluating learning Written Examination: (Expected answers are highlighted)
I. Identify each equation as quadratic equation or not.
1. -8x(5+x)=0 3. Y(y+3) = 4
2. 5-3(x-2)=0 4. 7(p+1)(p-2)=p(p+4)
II. Choose the letter of the best answer
1. Which equation is written in standard form?
a. -5n+n2-9=0 c. -2x2 = 0
2
b. x = -3x d. 3x2-4(x-2)=p(+4)
2.What is the standard form of the equation –(x2+2x-1)+6?
a. –x2-2x+5=0 c. –x2+2x-5=0
2
b. x -2x+5=0 d. –x2-2x+5
3. What is the degree of the equation: 4 x5 -2x+5= 4 x 4
a. 5 c. 3
b. 4 d. 0
J. Additional Group activity
Activities for Prepare a group puzzle on quadratic equation.
application or Exchange the prepared puzzle of each group randomly and ask them to work on
remediation it by answering the puzzle of the other group..
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 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 and
supervisor help me
solve?
G. What innovation
or localized I
used/discover which I
wish to share with
other teacher?
Prepared by:
