DETAILED LESSON PLAN (DLP)

Learning Area: Research Grade Level: 9

DLP No. Date:
Quarter: 1 Section and Schedule:
Key Concepts/
Understandings Factors of Polynomials
To be Developed
Adapted Cognitive Process Dimensions
Knowledge Discuss how to factor polynomials by common
monomial factoring
Skills Solve for the factors of a given polynomial applying the
1. Objectives steps in common monomial factoring
Attitude Display critical thinking in doing the tasks in factoring
polynomials
Values Display social responsibility while working in
pairs/groups
2. Content Factoring Polynomials by Common Monomial Factoring
3. Learning Powerpoint presentation, metacards
Resources
4. Procedures
4.1  Review
Introductory The students answer the following questions. Let the students give their
Activity answers by showing their tagboards up.
(7 minutes) 1. It is an algebraic expression consisting of terms separated by addition or
subtraction.
Answer: Polynomial
2. A polynomial which has only 1 term.
Answer: Monomial
3. It is the largest factor that all the terms share.
Answer: Greatest Common Factor/GCF
4. GCF of 4m2 and 6m5.
Answer: 2m2
5. GCF of 4x2, 8x2y3 and 10x3y2
Answer: 2x2
4.2 Activity The students will work in groups.
(15 minutes)
Factoring Polynomials by Common Monomial Factoring

1. Given: 8x3 + 12x

Answer the following.
a. GCF of 8x3 and 12x. ____________
b. Quotient of 8x3 + 12x divided by the GCF. ___________
c. Write the GCF(in a) and quotient (in b) in factor form. ___________

2. Given: 9x3 + 12x2y3 – 6x2y2

Answer the following.
a. GCF of 9x3, 12x2y3 and – 6x2y2. ____________
b. Quotient of 9x3 + 12x2y3 – 6x2y2 divided by the GCF. ___________
c. Write the GCF(in a) and quotient (in b) in factor form. ___________

Let volunteer students present their answers.

4.3 Analysis Guide Questions

(15 minutes) 1. Based on the tasks you did earlier, how did you get the first factor of the
polynomial?
2. How did you get the second factor of the polynomial?
3. How do we factor polynomials by common monomial factoring?
 4.4 Abstraction What are the steps in factoring polynomials by common monomial factoring?
(3 minutes) Answer:
First, identify the Greatest Common Factor (GCF) of the terms in the polynomial. The
GCF is the first factor of the polynomial.
Second, divide the polynomial by the GCF. The quotient is the other factor of the
polynomial.
Third, express the GCF (in step 1) and the quotient (in step 2) as factors.
4.5 Application Diad Activity
(10 minutes) Factor the following polynomials.
1. 8y6 + 16y3
2. 35m2n – 21m3n
3. 6a2b2 + 18a3b – 9a
4.6 Assessment Individual Activity
(5 minutes) Answer.
Gabriel factored the polynomial 4y3z2 – 16y3z + 8y as 2yz (2 y2z – 8y2 + 4). Is Gabriel’s
answer correct? Explain your answer.
4.7 Assignment Can 4x2 – 9 be factored by common monomial factoring? Why?
(3 minutes)
4.8 Concluding On a ¼ sheet of paper, let the students write what they have learned for the day.
Activity
(2 minutes)
5.Remarks
6.Reflection

Prepared by:

JUAN DELA CRUZ

MARIA CLARA STA. ANA

DETAILED LESSON PLAN (DLP)

Learning Area: Mathematics Grade Level: 8

DLP No. 1 Date: August 30, 2023
Quarter: 1 Section and Schedule:
8 – Tiro (1 – 3 PM)
Learning Factors completely different types of polynomials Code: M8AL - Ia - b - 1
Competency/ies: (polynomials with common monomial factor, difference
of two squares, sum and difference of two cubes, perfect
square trinomials, and general trinomials.)
Key Concepts/
Understandings Factors of Polynomials
To be Developed
 Adapted Cognitive Process Dimensions
Knowledge discuss how to factor polynomials by common
monomial factoring

Skills Solve for the factors of a given polynomial applying the

1. Objectives steps in common monomial factoring
Attitude Display critical thinking in doing the tasks in factoring
polynomials
Values Display social responsibility while working in
pairs/groups
2. Content Factoring Polynomials by Common Monomial Factoring
3. Learning Powerpoint presentation, metacards
Resources
4. Procedures
4.1  Review
Introductory The students answer the following questions. Let the students give their
Activity answers by showing their tagboards up.
(7 minutes) 6. It is an algebraic expression consisting of terms separated by addition or
subtraction.
Answer: Polynomial
7. A polynomial which has only 1 term.
Answer: Monomial
8. It is the largest factor that all the terms share.
Answer: Greatest Common Factor/GCF
9. GCF of 4m2 and 6m5.
Answer: 2m2
10. GCF of 4x2, 8x2y3 and 10x3y2
Answer: 2x2

4.2 Activity The students will work in groups.

(15 minutes)
Factoring Polynomials by Common Monomial Factoring

3. Given: 8x3 + 12x

Answer the following.
d. GCF of 8x3 and 12x. ____________
e. Quotient of 8x3 + 12x divided by the GCF. ___________
f. Write the GCF(in a) and quotient (in b) in factor form. ___________

4. Given: 9x3 + 12x2y3 – 6x2y2

Answer the following.
d. GCF of 9x3, 12x2y3 and – 6x2y2. ____________
e. Quotient of 9x3 + 12x2y3 – 6x2y2 divided by the GCF. ___________
f. Write the GCF(in a) and quotient (in b) in factor form. ___________

Let volunteer students present their answers.

4.3 Analysis Guide Questions

(15 minutes) 4. Based on the tasks you did earlier, how did you get the first factor of the
polynomial?
5. How did you get the second factor of the polynomial?
6. How do we factor polynomials by common monomial factoring?

4.4 Abstraction What are the steps in factoring polynomials by common monomial factoring?
(3 minutes) Answer:
First, identify the Greatest Common Factor (GCF) of the terms in the polynomial. The
GCF is the first factor of the polynomial.
Second, divide the polynomial by the GCF. The quotient is the other factor of the
 polynomial
Third, express the GCF (in step 1) and the quotient (in step 2) as factors.

4.5 Application Diad Activity

(10 minutes) Factor the following polynomials.
4. 8y6 + 16y3
5. 35m2n – 21m3n
6. 6a2b2 + 18a3b – 9a

4.6 Assessment Individual Activity

(5 minutes)
Answer.
Gabriel factored the polynomial 4y3z2 – 16y3z + 8y as 2yz (2 y2z – 8y2 + 4). Is Gabriel’s
answer correct? Explain your answer.

4.7 Assignment Can 4x2 – 9 be factored by common monomial factoring? Why?

(3 minutes)

4.8 Concluding On a ¼ sheet of paper, let the students write what they have learned for the day.
Activity
(2 minutes)

5.Remarks Delivered
6.Reflection

Written by:

JERLIE MARIE R. BAGUIO

MT I – Mathematics
Pajo National High School

Prepared by:

ARELA JANE D. TUMULAK

Teacher I – Mathematics
Babag National High School

DETAILED LESSON PLAN (DLP)

Learning Area: Mathematics Grade Level: 8

DLP No. 1 Date: August 31, 2023
Quarter: 1 Section and Schedule:
8 – Matia-ong (5:20 – 7:20 PM)
Learning Factors completely different types of polynomials Code: M8AL - Ia - b - 1
Competency/ies: (polynomials with common monomial factor, difference
of two squares, sum and difference of two cubes, perfect
square trinomials, and general trinomials.)
Key Concepts/
Understandings Factors of Polynomials
To be Developed
 Adapted Cognitive Process Dimensions
Knowledge discuss how to factor polynomials by common
monomial factoring

Skills Solve for the factors of a given polynomial applying the

1. Objectives steps in common monomial factoring
Attitude Display critical thinking in doing the tasks in factoring
polynomials
Values Display social responsibility while working in
pairs/groups
2. Content Factoring Polynomials by Common Monomial Factoring
3. Learning Powerpoint presentation, metacards
Resources
4. Procedures
4.1  Review
Introductory The students answer the following questions. Let the students give their
Activity answers by showing their tagboards up.
(7 minutes) 11. It is an algebraic expression consisting of terms separated by addition or
subtraction.
Answer: Polynomial
12. A polynomial which has only 1 term.
Answer: Monomial
13. It is the largest factor that all the terms share.
Answer: Greatest Common Factor/GCF
14. GCF of 4m2 and 6m5.
Answer: 2m2
15. GCF of 4x2, 8x2y3 and 10x3y2
Answer: 2x2

4.2 Activity The students will work in groups.

(15 minutes)
Factoring Polynomials by Common Monomial Factoring

5. Given: 8x3 + 12x

Answer the following.
g. GCF of 8x3 and 12x. ____________
h. Quotient of 8x3 + 12x divided by the GCF. ___________
i. Write the GCF(in a) and quotient (in b) in factor form. ___________

6. Given: 9x3 + 12x2y3 – 6x2y2

Answer the following.
g. GCF of 9x3, 12x2y3 and – 6x2y2. ____________
h. Quotient of 9x3 + 12x2y3 – 6x2y2 divided by the GCF. ___________
i. Write the GCF(in a) and quotient (in b) in factor form. ___________
Let volunteer students present their answers.

4.3 Analysis Guide Questions

(15 minutes) 7. Based on the tasks you did earlier, how did you get the first factor of the
polynomial?
8. How did you get the second factor of the polynomial?
9. How do we factor polynomials by common monomial factoring?

4.4 Abstraction What are the steps in factoring polynomials by common monomial factoring?
(3 minutes) Answer:
First, identify the Greatest Common Factor (GCF) of the terms in the polynomial. The
GCF is the first factor of the polynomial.
Second, divide the polynomial by the GCF. The quotient is the other factor of the
polynomial
 Third, express the GCF (in step 1) and the quotient (in step 2) as factors.

4.5 Application Diad Activity

(10 minutes) Factor the following polynomials.
7. 8y6 + 16y3
8. 35m2n – 21m3n
9. 6a2b2 + 18a3b – 9a

4.6 Assessment Individual Activity

(5 minutes)
Answer.
Gabriel factored the polynomial 4y3z2 – 16y3z + 8y as 2yz (2 y2z – 8y2 + 4). Is Gabriel’s
answer correct? Explain your answer.

4.7 Assignment Can 4x2 – 9 be factored by common monomial factoring? Why?

(3 minutes)

4.8 Concluding On a ¼ sheet of paper, let the students write what they have learned for the day.
Activity
(2 minutes)

5.Remarks Delivered
6.Reflection

Written by:

JERLIE MARIE R. BAGUIO

MT I – Mathematics
Pajo National High School

Prepared by:

ARELA JANE D. TUMULAK

Teacher I – Mathematics
Babag National High School