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LESSON PLAN IN MATH 8

GRADE QUARTER/DOMAIN DATE & TIME


8 1st Quarter September 14,2023
I. OBJECTIVES
A. Content Standards After going through this lesson, the learner demonstrates understanding of key
concepts of factors of polynomials (Difference of Two Squares)

B. Performance Standards 1. Understand the components of MAPEH


2. Enumerate ways on passing the subjects.
3. Appreciate the importance of MAPEH in our
daily living.
C. Learning 1. Understand the components of MAPEH
Competencies/(write the LC 2. Enumerate ways on passing the subjects.
code) 3. Appreciate the importance of MAPEH in our
daily living.
D. Objectives The learner is able to formulate real-life problems involving factors of
polynomials (Difference of Two Squares)

Conduct of Pre-
Assessment
Conduct of
Psychosoc

Factors completely different types of polynomials (Difference of Two Squares)


M8AL-Ia-b-1

Tells whether the given polynomials can be factored using sum and
difference of two squares or not
Factors polynomial using sum and difference of two squares
Appreciates the importance of other people in everyone’s success

II. CONTENT
Factoring the Difference of two Squares
III. LEARNING
RESOURCES
A. References
1. Teacher’s Guide Pages Teacher’s Guide (TG) in Mathematics 8, pp. 34 - 35

2. Learner’s Materials Learner’s Module (LM) in Math 8, pp. 32 - 33


pages
Moving Ahead With Mathematics, pp. 196 - 197
3. Textbook Pages

4. Additional Learning Pictures


Materials from Learning Manila paper
Resource (LR) Portal

5. Other Learning
Resources
IV. PROCEDURES PRELIMINARY ACTIVITIES (5mins)
1. Opening Prayer
2. Checking Attendance
3. Checking of assignment
A. Reviewing previous ACTIVITY:
lesson or presenting REMEMBER ME? The teacher will guide the students to answer the
the new lesson following;
Recall finding the special product in this form:
( x + 8) ( x – 8 ) = x2 – 64
( 2x + 4) ( 2x – 4) = 4x2 – 16
( 3a + 5) ( 3a – 5) = 9a2 – 25
QUESTIONS:
1. What have you observe on the product?
Expected answer: when we multiply two binomials with positive and
negative signs in between the product has two terms.
2. What do you call this product?
Ans. Binomial
3. Is there a relation between the special product and sum and difference
of two squares based on the given above?
Ans. Yes!
Teacher will process the different responses of the learners

B. Establishing a Present the Objectives of the lesson:


purpose for the Factors completely different types of polynomials (difference of two squares)
lesson

C. Presenting ACTIVITY: Let’s EXPLORE!


examples / Examples of Factoring polynomials using sum and difference of two
instances of the new squares.
lesson 1. x – 1= (x + 1) (x – 1)
2. x – y= (x + y) (x – y
3. x –4 = (x + 2)(x – 2)
QUESTIONS:
1. How many factors did you obtain?
Ans. Two factors
2. What are your observations based on the factors?
Expected ans. The factors are the positive square roots of each term.
3. What is the operation on the first factor? How about the second factor?
Ans. First factor- positive, second- negative

D. Discussing new ACTIVITY: COMPARE US!


concepts and
practicing new skills
#1

E. Discussing new
concepts and
practicing new skills
#2
E. Developing Mastery

ACTIVITY: CREATE YOUR OWN!


Let the learners formulate their own given binomials that can be factored
using sum and difference of two terms. Let them solve on the board.
(Answers may vary) Teacher will select volunteer from the class

F. Finding practical ACITIVITY: GIVE YOUR OWN! Teacher will guide the students to give real
applications of concepts situation that relates factoring sum and difference of two squares. Example:
and skills in daily living A 5m x 5m landscaping is to be done in one corner of a 20m x20m garden. Find the
area of the field that was not affected by the project. (teacher will guide the learner
in leading the correct answer.

G. Making generalizations Guide Questions for Generalization:


and abstractions about the What is a polynomial?
lesson (Expected answer: Polynomial is an expression of one or more algebraic terms.)
How can we obtain the factors of polynomials using common monomial factor?
(Expected answer: through the GCF.
What concepts have you learned from factoring that can be applied in your daily
living? (Answer may vary)
Note: Teacher must correct immediately the wrong response of the learner

Individual Work
I. Evaluating learning Self-check!
Instructions: Factor each of the following polynomials:
1. a2 – 16 = (a + 4) (a – 4)
2. 9x2 – 4 = (3x + 2) (3x – 2)
3. 64c2 – 1 = (8c + 1) (8c – 1)
4. 100y2 – 49z2 = (10y + 7z) (10y – 7z)
5. y2 – 81 = (y + 9) (y – 9)

I. Additional activities for Assignment:


application or remediation

V. REMARKS
VI. REFLECTION
A. No. of learners who earned 80% in the evaluation
B. No. of learners who require additional activities for
remediation

Prepared by: Noted:

REALIZA B. BELCHEZ REYNALDO B. VARGAS


Teacher I School Head

ATTACHMENT

ACTIVITY: MESSAGE FROM THE KING


(Product – Factor Association)
Directions:
This activity will give you an idea on how factors associated with products. You will match the
factors in column A with the products in column B to decode the secret message.

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