Republic of the Philippines

Department of Education
Region IV-A CALABARZON
Division of Batangas
Calatagan National High School
Poblacion I, Calatagan,Batangas

Learning Area Mathematics

Learning Delivery Modality Modular Distance Modality (Learners-Led Modality)

School Calatagan National HS Grade Level Seven

LESSON Teacher Rochelle A. Dela Vega Learning Area Mathematics
EXEMPLAR Teaching Date April 04, 2022 Quarter Second
Teaching Time 1:00-2:00 No. of Days 1

At the end of the lesson, the learners are expected to:

a. Define polynomial and the rules involving operations on polynomials.
I. OBJECTIVES
b. Find the difference of a polynomial.
c. solves problem involving polynomials.
The learner demonstrates understanding of key concepts of algebraic expressions, the
A. Content Standards properties of real numbers as applied in linear equations, and inequalities in one
variable.
The learner is able to model situations using oral, written, graphical, and algebraic
B. Performance Standards methods in solving problems involving algebraic expressions, linear equations, and
inequalities in one variable.
C. Most Essential Learning
Competencies (MELC) The learner adds and subtracts polynomials. M7AL-IId-2
(If available, write the indicated MELC)
D. Enabling Competencies
(If available, write the attached
enabling competencies)
II. CONTENT SUBTRACTION OF POLYNOMIALS
III. LEARNING COMPETENCIES
a. Teacher’s Guide Pages
b. Learner’s Material Pages PIVOT’s 4A Learning Material pp.19-21
c. Textbook Pages
d. Additional Materials from Learning
Power point presentation, chalk board, meta card
Resources
B. List of Learning Resources for
Development and Engagement https://www.youtube.com/watch?v=5ZdxnFspyP8&t=44s
Activities
IV. PROCEDURES
A. Introduction PREPARATORY ACTIVITY
A. Prayer
B. Greetings
BEHAVIORISM C. Checking of Cleanliness and Chair Alignment
D. Reminder of the Classroom Health and Safety Protocols
(indicator 4) Students in the class will be reminded of some health and safety
protocols such wearing of face mask all the time; physical and social
distancing, regular disinfection of belongings, and washing of hands with
water, or if cannot be done at the moment, use alcohol.

E. Checking of Attendance
F. Checking of Assignment

The learners will remember the previous lesson about the addition of polynomials
and remember its rules.

CALATAGAN NATIONAL HIGH SCHOOL

Address: Poblacion I, Calatagan,Batangas
Mobile No.: 09503477347
Email: calatagannhs307709@gmail.com
 Republic of the Philippines
Department of Education
Region IV-A CALABARZON
Division of Batangas
Calatagan National High School
Poblacion I, Calatagan,Batangas

(INTEGRATIVE APPROACH – WARM UP! (2mins)

Boardwork) Students will be grouped into 2, each group will select one representative to answer
(Indicator 6) questions to be shown in a meta card. The first one to write and give the correct
answer on the board will be given point.

1. 2x +12x
2.(9n + 3)+(-3n – 5)
3.(-5y +1) + 13y
4.(a2 + 2a -3)+(2a2 – 2a +3)
(INTEGRATIVE APPROACH –
PREPARATORY ACTIVITY (3mins)
Discussion/Modelling)
Look inside your bags and carefully bring out the following items: black pens, pencils,
(Indicator 3)
and notebooks. Use these materials in completing the following statements.
(Indicator 5)

5 notebooks – 2 notebooks=____ notebooks

2 black pens – 2 pencils = ____ black pens - ____ pencils

Now replace black pens with the variable a, pencils with b, and notebooks with x.
5 notebooks – 2 notebooks =____ notebooks
5x – 2x = ___x

2 black pens – 2 pencils = ____ black pens - ____ pencils

2a – 2b = ___a - ___b

Guide Questions:
(HOTS Questions) 1. What happened when you subtract the notebooks?
2. How about subtracting black pens and pencils?

B. Development The learners will watch a video tutorial from YouTube regarding the discussion of
the lesson.

(INTEGRATIVE APPROACH – VIDEO TUTORIAL (3mins)

Educational Technology) https://www.youtube.com/watch?v=5ZdxnFspyP8&t=44s
ICT Integration

CONSTRUCTIVISM
(CONSTRUCTIVIST APPROACH
Direct Instruction)
DISCUSSION (20mins)

(Within the curriculum) Rules for Subtracting Polynomials

(Indicator 1) To subtract polynomials, change the sign of the subtrahend then proceed to the
addition rule. Also, remember what subtraction means. It is adding the negative of the
quantity.

CALATAGAN NATIONAL HIGH SCHOOL

Address: Poblacion I, Calatagan,Batangas
Mobile No.: 09503477347
Email: calatagannhs307709@gmail.com
 Republic of the Philippines
Department of Education
Region IV-A CALABARZON
Division of Batangas
Calatagan National High School
Poblacion I, Calatagan,Batangas

EXAMPLE
Subtract 4xy + 5x –7y + 3 from xy - 6x + y + 6

Grouping Similar Terms

(xy - 6x + y + 6) - (4xy + 5x - 7y + 3)
Change the sign of the subtrahend
xy - 6x + y + 6 – 4xy - 5x + 7y – 3
Group similar terms and perform the operation.
(xy - 4xy) + (-6x –5x) + (y + 7y) + (6 -3)
-3xy + (-11x) + 8y + 3
3xy - 11x + 8y + 3

Vertical Method
Similar terms must be placed in one column, change the sign of the subtrahend then
add
xy - 6x + y + 6
+(-)4xy + (-)5x –(+)7y +(-) 3
- 3xy - 11x + 8y + 3

Note: Terms without numerical coefficient written beside the variable, it is understood
(INTEGRATIVE APPROACH –
the numerical coefficient is 1, like xy, x , etc.
Drill and Practice)
The learners will now perform subtraction of polynomials applying what they
learned from the lesson proper.

Activity (10mins)
Direction: Perform the indicated operations. Simplify your answer.

1. (5x3 – 7x2 + 3x – 4) –(8x3 + 2x2 +3x – 7)

2. (2x2 y – 5xy + 3y2) – (7xy – 6y2 + 5x2 y)
3. (9x5 – 6x3 + 7x2) – (7x3 – 6x5 + 2x2)
4. Subtract 4x3 – 5x – 8 from 6x2 – 3x + 8
C. Engagement
Through the previous activities, the learners will now perform the subtraction of
polynomials in real-life situation.
RECONSTRUCTIVISM
Activity (10mins)
Direction: Answer the following word problems.
1. Gulayan sa paaralan has a rectangular garden that's y2 + 3y + 7 feet by y - 3 
 feet. The gulayan sa paaralan coordinator wants to determine how much
longer the length is than the width.
(Integration to TLE) (indicator 1) 2. The profits of two different production of shrimps in Calatagan, Batangas
(Across the curriculum) can be modeled as shown below, where x' is the number of units
(Localization) produced at each shrimp.
Vergara Shrimp Farm: -0.03x 2 + 26x - 1600
Marvel Shrimp Farm: -0.02x2 + 20x – 1800
Write a polynomial that represents the difference of the profits at the
Vergara Shrimp Farm and the profits at the Marvel Shrimp Farm.
(Localization)
D. Assimilation The learners will generalize their learned information about subtraction of
polynomials.

(HOTS Questions) Guide Questions: (2mins)

a. Can you subtract unlike terms?

CALATAGAN NATIONAL HIGH SCHOOL

Address: Poblacion I, Calatagan,Batangas
Mobile No.: 09503477347
Email: calatagannhs307709@gmail.com
 Republic of the Philippines
Department of Education
Region IV-A CALABARZON
Division of Batangas
Calatagan National High School
Poblacion I, Calatagan,Batangas

(Within the curriculum) b. Are their similarities between subtraction of integers and subtraction of
polynomials? In what way?
c. How are polynomials subtracted?

The learners will answer the 5-item quiz as their assessment.

Directions: Read and analyze the questions carefully and write the letter of your
answer on the space provided before each number. (10mins)
(REFLECTIVE APPROACH –
1. Find the difference. (3- 2x + 2x2) - (4x -5 +3x2)
Paper-and-Pencil Test)
A. x2 + 6x + 8 C. 2x2+ 5x - 7
2
B. -x -6x + 8 D. -2x2 + 11x - 4
2. Identify the difference of (a − 2a ) − (3a2 − 4a3 )?
2 2

A. 5a2 − 5a B. - 5a3 − 5a2 C. 5a3 + 5a2 D. 5a3 − 5a2

2 3 2
3. How much is 8z  – 3z + 4 less than z  – 2z  + 5z - 1?
A. z3 + 10z2 + 8z + 5 C.  z3 – 10z2 + 8z - 5
3 2
B. z  + 10z  + 8z – 5 D. - z3 – 10z2 + 8z + 5
4. By how much must 3x + 7z be diminished to give 5x – 7z?
A. -2x + 14z C. -2x
B. 2x - 14z D. 2x + 14z
5. In subtracting polynomials, we change the sign of the subtrahend and follow the
rule in addition. How will you rewrite (2a3-2a2) - (2a3-4a) in addition sentence?
A. (2a3-2a2) - (2a3-4a) C. (2a3-2a2) + (2a3+4a)
B. (2a3-2a2) + (-2a3+4a) D. (2a3-2a2) - (-2a3-4a)
V. REFLECTION The learners, in their notebook, will write their insights or learnings about the lesson using
the prompts below.

(REFLECTIVE APPROACH – I understand that__________________________________________________

Completion Statement) ________________________________________________________________
________________________________________________________________.
I realize that _____________________________________________________
________________________________________________________________.

Observed:

__________________________ ___________________________
JENNIFER P. VILLAMIN GREELIE C. FETALCORIN
Head Teacher III Master Teacher I

Date: ___________________

TABLE OF SPECIFICATION
Subtraction of 60% 30% 10
Polynomials Remembering Understanding Applying Analyzing Evaluating Creating
Item Placement 1 2 3 4 5

Annotation:
I've included a copy of one of my lesson plans with annotations to demonstrate how I've
implemented my own learner-centered teaching philosophy. I used behaviorism in the lesson's
opening section as an example of how students should react and respond to various situations. In
the discussion portion of the lesson, I used constructivism to help students learn via experience
rather than just receiving information from the teacher. Additionally, I used reconstructivism in the
lesson's active learning section so that the students could use their learning to get ready for their
part in the future they aspire to.
CALATAGAN NATIONAL HIGH SCHOOL
Address: Poblacion I, Calatagan,Batangas
Mobile No.: 09503477347
Email: calatagannhs307709@gmail.com
 Republic of the Philippines
Department of Education
Region IV-A CALABARZON
Division of Batangas
Calatagan National High School
Poblacion I, Calatagan,Batangas

CALATAGAN NATIONAL HIGH SCHOOL

Address: Poblacion I, Calatagan,Batangas
Mobile No.: 09503477347
Email: calatagannhs307709@gmail.com