GRADES 9
DAILY LESSON
LOG
School
Teacher
Teaching Dates and
Time
MARARAG NATIONAL HIGH SCHOOL
MARY GRACE S. RAMIREZ
1:00-2:00 & 2:00-3:00
Grade Level Section
I. OBJECTIVES
Grade Level 9
Learning Area MATHEMATICS
Quarter FIRST
Grade 9- DALTON & LAVOISER
DAY 1
DAY 2
DAY 3
DAY 4
AUGUST 29,2023
AUGUST 30, 2023
AUGUST 31, 2023
SEPTEMBER 1, 2023
1. Content Standards The mathematics teacher
The teacher will
orients her learners on the conduct a
mathematics grading system diagnostic test.
and how can they get good
2. Performance
grades. The teacher also
Standards
gave them an individual
learner’s record card to
record their scores in
written, performance task
and quarterly assessment
and check their daily
attendance so that they can
monitor their own total
performance in mathematics
subject.
The learner demonstrates understanding of the 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.
Illustrates quadratic equations.
(M9AL-Ia-1)
a. Write a quadratic
equation in standard
form.
b. Identify quadratic
equations.
c. Appreciate the
importance of quadratic
equations.
II. CONTENT
Illustrations of Quadratic
Equations
Solves quadratic equations
by: (a) extracting square
roots; (b) factoring; (c)
completing the square; and
(d) using the quadratic
formula. (M9AL-Ia-b-1)
a. Express quadratic
equation in the form
x2 = k .
b. Solve quadratic equation
by extracting square
roots.
c. Appreciate the
importance of solving
quadratic equations by
extracting square roots..
Solving Quadratic
Equations by Extracting
Square Roots
III. LEARNING
RESOURCES
A. References
1.
2.
3.
Teacher’s
Guide
pp. 14-18
pp. 19-23
Learner’s
Materials
pp. 11-15
pp. 18-23
21st Century Math III
pp. 167-172
Ho, Ju Se T. et., al
Capalad, Lanniene, et., al.
Textbook
Math III SEDP Series
4.
Additional
Materials from
Learning
Resource (LR)
portal
B. Other Learning
Resources
http://math.tutorvista.com/algebra/qu
http://www.purplemath.com/
adraticequation.htm
moduleiquadraticform.htm

http://library.thinkquest.org/20991/alg http://www.algebrahelp.com/
2/quad.htm
lessons/equation/quadratic
Grade 9 LCTG by DepEd Caraga
Mathematics 2016,
laptop, Monitor/Projector, Activity
Sheets
Grade 9 LCTG by DepEd
Caraga Mathematics 2016,
laptop, Monitor/Projector,
Activity Sheets
IV. PROCEDURES
A. Reviewing previous
lesson or presenting
the new lesson
Find My Roots!
Do You Remember These Products?
Find each indicated product then
answer the questions that follow.
1. 3(x2+7)
2. 2s(s-4)
3. (w+7)(w+3)
4. (x+9)(x-2)
5. (2t-1)(t+5)
6. (x+4)(x+4)
7. (2r-5)(2r-5)
8. (3-4m)2
9. (2h+7)(2h-7)
10. (8-3x)(8+3x)
a. How did you find each product?
b. In finding each product, what
mathematics concepts or principles
did you apply? Explain.
c. How would you describe the
products obtained?
Find the following square
roots. Answer the questions
that follow.
1.
2.
3.
6.
4.
9.
5.
10.
7.
8.
a .How did you find each
square root?
b. How many square roots
does a number have?
c. Does a negative number
have a square root? Why?
d. Describe the following
numbers:
.
B. Establishing a purpose
for the lesson
Another Kind of Equation!
Below are different equations. Use
these equations to answer the
questions that follow.
x2-5x+3=0
9r2-25=0
9-4x=15
r2=144
t2-7t+6=0
2s+3t=-7
c=12n-5
8k-3=12
6p-q=10
1. Which of the given equations
are linear?
2. How do you describe linear
equations?
3. Which of the given equations
are not linear? Why?
a. How are these equations
different from those which
are linear? What common
characteristics do these
equations have?
C. Presenting examples/
A quadratic equation in one variable
Are the numbers rational or
irrational?
How do you describe
rational numbers?
How about numbers
that are irrational?
What Would Make a
Statement True?
Solve each of the following
equations in as many ways
as you can. Answer the
questions that follow.
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
a. How did you solve each
equation?
b. What mathematics
concepts or principles did
you apply to come up with
the solution of each
equation?
c. Compare the solutions
you got with those of your
classmates. Did you arrive
at the same answer? If not,
why?
d. Which equations did you
find difficult? Why?
Equations such as
,
instances of the
lesson
is a mathematical sentence of
degree 2 that can be written in the
following standard form
ax2 + bx + c = 0, where a, b, and c
are real numbers and
a ≠ 0. In the equation, ax2 is the
quadratic term, bx is the linear term,
and c is the constant term.
are the
simplest forms of quadratic
equations. To solve this
equations, we extract the
square roots of both sides.
Hence we get,
Example 1
2x2 – 6x – 15 = 0 is a quadratic
equation in standard form with a
=2 b = -6 and c =-15.
Example 2. Find the
solutions of the equation
by extracting
square roots.
, and
Write the equation in the
Example 2
2x (x – 4) = 18 is a quadratic
form
.
equation. However, it is not written in
standard form. To write the equation Adding both sides results in
in standard form, expand the product
.
and make one side of the equation
Recall that the
zero as shown below.
square of any real
2x(x – 4)= 18→ 2x2– 8x = 18
number, whether it is
2x2 – 8x – 18 = 18 -18
positive or negative,
2
is always a positive
2x – 8x – 18 = 0
number. For example
The equation becomes
2
2x – 8x –18 = 0 which is in standard
. Hence, there is no
form.
real number x which
In the equation
2
2x - 8x -18 = 0
satisfies
.
a = 2, b = - 8, c = - 18.
Therefore, the
equation has no real
root.
D. Discussing new
concepts and
practicing new skills
#1
E. Discussing new
concepts and
practicing new skills
#2
F. Developing mastery
(Leads to Formative
Assessment 3)
Extract Me!
Tell whether each equation is
quadratic or not quadratic. If the
equation is not quadratic, explain.
a. x2 + 7x + 12 = 0
b. -3x (x + 5) = 0
c. 12 – 4x = 0
d. (x + 7) (x – 7) = 3x
e. 2x+ (x + 4) =
f. (x – 3)+ (x – 3)
Solve the following
quadratic equations by
extracting square roots.
1.
6.
2.
7.
3.
8.
4.
9.
5.
10.
6.
a. What is a quadratic equation?
1. What is the simplest form
b. What is the standard form of
of quadratic equation?
quadratic equation?
2. How do you get the
c. In the standard form of quadratic solutions of these
equations?
equation, which is the quadratic
3. How many solutions/roots
term?
does the equation
linear term? constant term?
d. Why is a in the standard form have if k > 0?
a. k = 0? k < 0?
cannot be equal to 0?
“Extract then Match”
Write each equation in standard form Find the solutions of the
then identify the values of a, b, and following quadratic
equations by matching
c.
column B with column A.
2
a. 2x + 5x – 3 = 0
Correct roots will also reveal
b. 3 -2x2 = 7
the cities primary delicious
c. x (4x + 6) = 28
fruits.
(3x-7)(5x+2)
A
B
Tagaytay
Strawberry
Davao
Cebu
Mangosteen
Pineapple
Zamboanga
Durian
Baguio
Mango
Banana
1.
G.Finding practical
applications of
concepts and skills in
daily living
H. Making
generalizations and
abstractions about
the lesson
.
New houses are being constructed in
CalleSerye. The residents of this
new housing project use a 17m long Solve the problem.
path that cuts diagonally across a
vacant rectangular lot. Before the
Cora has a piece of cloth
diagonal lot was constructed, they
whose area is 32 square
had to walk a total of 23 m long
inches. What is the length of
along the two sides if they want to go the side of the largest
from one corner to an opposite
square that can be
corner. Write the quadratic equation
formed using the
that represents the problem if the
cloth?
shorter side is x. Identify the values
of a, b, and c.
To solve an incomplete
A quadratic equation is an equation quadratic equation:
1. Solve the equation
of degree 2 that can be written in the
for the square of the
form ax2 + bx + c = 0, where a, b,
unknown number.
and c are real numbers and a ≠ 0.
2. Find the square roots
of both members of
I. Evaluating learning
Write fact if the equation is
quadratic and bluff if the
equation is not quadratic.
1. x2 + x – 3 = 0
the equation.
Solve each equation by
extracting square roots.
1. x2 = 81
2. 24x + 81 = x2
2. 4x2 – 100 = 0
3. x2 = 2x (6x2 + 4)
3. a2 – 225 = 0
4. 2x2 = 7x
5. 5 – x + (2x - 3) = 12
4. 7p2 – 2 = 54p
2r2+ 3 = 67
Fact or bluff
J. Additional activities for
application or
remediation
Find the solutions of the
1. Give 5 examples of quadratic
equations written in standard form. following equations by
Identify the values of a, b, and c.
extracting square roots.
2. Study solving quadratic equation
1. 2(x+3)2 = 18
by extracting the square root.
2. 4a2 – 147 = a2
a. Do you solve a quadratic equation
3. 1 = ½ x2
by extracting the square root?
4. 54a2 – 6 - 24
b. Give the procedure.
2
3c – 5 = 25
V. REMARKS
Reference:
Learner’s Material pp. 18-20
VI. REFLECTION
1.
No. of learners who earned
80% on the formative
assessment
2.
No. of learners who require
additional activities for
remediation.
3.
Did the remedial lessons
work? No. of learners who
have caught up with the
lesson.
4.
No. of learners who
continue to require
remediation
5.
Which of my teaching
strategies worked well?
Why did these work?
6.
What difficulties did I
encounter which my
principal or supervisor can
help me solve?
7.
What innovation or
localized materials did I
use/discover which I wish
to share with other
teachers?
Prepared by:
MARY GRACE S. RAMIREZ
Teacher I
Checked and Reviewed by:
ARTEMIO L. OXENIOLA, JR.
Teacher In-Charge