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LESSON PLAN IN MATH 9

School Daan Suyan Integrated School Grade Level 9


Lesson Teacher Jeah Rose O. Masla Learning Area Math
Plan
Teaching Date March 3,2021 (Wednesday) Quarter 1st

I. OBJECTIVES

The learner demonstrates understanding of key concepts


A. Content Standard of quadratic equations, inequalities and functions, and
rational algebraic equations.

The learner will able to investigate thoroughly


mathematical relationships in various situations,
B. Performance formulate real-life problems involving quadratic
Standard equations, inequalities and functions, and rational
algebraic equations and solve them using a variety of
strategies.

C. Learning
Competency/Objectiv At the end of the lesson the students must be able to:
e  Illustrate quadratic equations.
(Write the LC code for (LC CODES: M9AL-Ia-1)
each)
Theme: Quadratic Equations
II. CONTENT
Sub-theme: Illustrations of Quadratic Equations
III. LEARNING
RESOURCES
A. References
- Mathematics Teacher’s Guide 9 (pp13-20. )
1. Teacher’s Guide - Mathematics Self-Learning Module (Quarter 1-
pages Module 1a)

- Mathematics Learner’s Material 9 (pp.11-17)


2. Learner’s Materials pages
3. Textbook pages
4. Additional Materials from
Learning Resource (LR) portal
B. Other Learning
Resources Activity Sheet, PPT, Crayons, Illustration Board
IV. PROCEDURES
a. Preparatory Activities
1. Daily Routine: Prayer,
Greetings, Classroom
Management, Checking of
Attendance, Checking of
Assignments
2. Motivation
“Rebus Puzzle”
Procedure:
1. The class will be divided into four (4) groups.
2. Each group will identify each puzzle.
3. They will write their answer in an illustration board.

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4. The group with the highest score will receive a prize.

“Let’s Color It Friend”

Procedure:
1. The class will be divided according to their friends.
2. Each group will find the indicated product of each item.
3. Each group will color each part of the picture using the
color code.
4. The group who will win will receive a 10 points added
to their quiz.

3. Review

COLOR CODE
RED - 3 m2−12 m
BLUE - 4 x2 +20
YELLOW- x 2+ 4 x−12
GREEN - x 2−12 x+3 6
PURPLE - 25 m2−30 m+ 9
GRAY - m2−m−6

4. LESSON PROPER
a. Activity “Lead Me to the Quadratic Equations”

Procedure: The Peter waswill


class asked by Mrs. Dela
consider the Cruz his Filipino
situation below.
teacher to lay out a tarpaulin to be used as back draft
decoration during the Culmination Program of Buwan
Situation:
ng Wika to greatly influence our history and culture. She
told Peter that the tarpaulin’s area must be 18 square
feet.
2
Question:
1. Draw a diagram to illustrate the tarpaulin.
2. What are the possible dimensions of the
tarpaulin? And how did you determine such
dimensions?
3. Suppose the length of the tarpaulin is 7 ft.
longer than its width. What equation
b. Analysis represents the given situation?
4. How would you write the equation to
represent the situation?
5. Do you think you can use the equation
formulated to find the length and the width of
the tarpaulin? Justify your answer.

Quadratic Equation

Quadratic Equation in one variable is a


mathematical sentence of degree 2 that can be written in
the standard form ax 2 +bx +c=0 , where a, b, and c are real
numbers and a ≠ 0.

In the equation, ax 2 is the quadratic term, bx is the


linear term, and c is the constant term.

Illustrative Example 1:
2
2 x +6 x−3=0 standard form with a=2, b=6, and c=-3

c. Abstraction Discuss: Why do you think “a” must not be equal to zero
in the equation ax 2 +bx +c=0

 Substituting a = 0 in the equation ax 2 +bx +c=0 ,will


yield a linear equation, so a must not be equal to
zero
 Illustration: 0 x 2+ bx+ c=0
 bx +c=0the derived equation is in first
degree

Illustrative Example 2:

A rectangular football field with a total area of 7000 sq. m


and the length is 40m more than its width.

3
Let width = x meters, length = x + 40 meters

Area = ( Length ) ( width)

(x) ( x + 40) = 7000 this is a quadratic equation


but it is not written in standard form. You can write the
equation in the standard form by expanding the product
and making one side of the equation zero as shown below.
2
x + 40 x−7000=0 is the quadratic equation in standard
form with a=1, b=40, and c=7000

 W
he
n
b
=
0
in

the equation ax 2 +bx +c=0 , it resulted to a quadratic


equation of the form ax 2 +c=0.
 Examples: Equation such as x 2+ 7=0 , -2+ x 2+ 5=0
and 15 x 2−9=0 are quadratic equations of the form
2
ax +c=0. In the equation, the value of b=0.

 When c=0 in the equation ax 2 +bx +c=0 , it resulted to
a quadratic equation ax 2 +bx=0 .

 Examples: Equation such as x 2−81 x=0,


2 2
2 x + 4 x=0 , 14 x + 6 x=0 are quadratic equations of the
form a ax 2 +bx=0. In the equation, the value of c=0

 All answers are reported in the form ax 2 +bx +c=0


with a >0, and where the greatest common factor of
all nonzero coefficients is 1.

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Activity 1A . Am I Quadratic or Not?
Determine the given expression as quadratic or not. Write
Q on the blank provided before each number if the given
equation is a quadratic and NQ if it is not.

_____1.C = 2πr
_____2. A=π r 2
_____3. 2 x2 −10 x +2=0
_____4.−5 x+ x2 −10=0
_____5. x +4 x=0
_____6. x 2−4 x+1=0

Activity 1B: Illustrate My Situation!


Direction: Identify whether or not the given situations
illustrates quadratic equations. Justify your answer by
d. Application representing each situation with a mathematical
sentence.

1. Mario likes to plant flowers and he is diligently looking


for the dimensions of the rectangular garden that has an
area of 14m2 and a perimeter or 18 meters.

2. Mrs. Salome charged Php. 3,655.00 worth of groceries


on her credit card for the victims of earthquake last
December. The balance of her credit card after she made
a payment is Php2450.00.

3. The Barangay Council gave the “Best Vegetable Garden


Award” to Mr. and Mrs. Romero during the Brgy.
Foundation culmination program. The said garden is a
parallelogram-shape whose length is 10 m longer than is
width and the area is 125 m2.

Activity 2: Be My Standard!

A. Write each quadratic equation in standard form,ax 2 +bx +c=0


then identify the values of a, b, and c.

2
1. 2 x−2 x =0 ________________ a _____ b _____ c_____
2
2. 6−2 x =6 x ________________ a _____ b _____ c_____
3. (x+5) (x+4) =0 ________________ a _____ b _____ c_____
4. 3x (x-2) =15 ________________ a _____ b _____ c_____
 Evaluation 2
5. 4 x−2 x =7 ________________ a _____ b _____ c_____

B. Rewrite the equation 2(x + 3)2 – 5x = 6 in standard


form and identify a, b and c.

C. Do you agree that the equation 5 – 3x = 2 2 can be


written in standard form in two different ways? Justify
your answer.

e. Assignment
Activity 1: Dig Deeper! (LM, Mathematics 9, p.16, no.5)

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Read the paragraph carefully and answer the question
that follows:

1. The members of the school Mathematics Club shared


equal amounts for a new Digital Light Processing (DLP)
projector amounting to Php25,000. If there had been 25
members more in the club, each would have contributed
Php50 less. What mathematical sentence would represent
the given situation? Write this in standard form then
identify the a, b, and c.
_________________________________________________________
_________________________________________________________
__________________________________________

2. The following are the values of a, b, and c that Andy


and Andrew got when
they expressed 10 - 7x = 4x2 in standard form
Andy: a = 4; b =7; c = -10 Andrew: a = -4; b = -7; c = 10
Who do think got the correct values of a, b, and c? Justify
your answer?
_________________________________________________________
_________________________________________________________
__________________________________________

3. List/give examples of quadratic equation written in


standard form and name some objects or cite real life
situations where quadratic equation are illustrated like
rectangle, boxes, a ball that is hit or thrown, two or more
people working, population in land area and many others.
_________________________________________________________
_________________________________________________________
__________________________________________

2. Closure
3. REMARKS
Reflect on your teaching and assess yourself as a teacher. Think about your students’ progress
today. What works? What else needs to be done to help the students learn? Identify what help
4. REFLECTION 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% on the formative
assessment
B. No. of learners who require
additional activities for
remediation.
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 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

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other teachers?

Checked by:
DATE: ______________

Notes:

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