Instructional Planning
(The process of systematically planning, developing, evaluating and managing the
instructional process by using principles of teaching and learning - D.O. 42, s. 2016)
Detailed Lesson Plan (DLP) Format
Learning Area:
Grade
DLP No.: Level: Quarter: Duration: Date:
Math 8 1 1 hour
Learning Competency/ies: Factors completely polynomials with common monomial
(Taken from the Curriculum Guide) factor. M8AL-1a-b-1
Key Concepts / In factoring polynomials with common monomial factor, we need to find first the greatest
Understandings to be common monomial factor and divide each term of the polynomial by the greatest common
Developed Adapted Cognitive Process
Domain monomial
Dimensions (D.O. No. 8, s. factor. OBJECTIVES:
Knowledge 2015)
The fact or Remembering Identify the common monomial factor.
condition of knowing
something with familiarity Understanding
gained through experience Explain how to get common monomial factor
or association
Skills Applying Find the factors of polynomials with common monomial factor.
The ability and
capacity acquired through
deliberate, systematic, and Analyzing
sustained effort to smoothly and
adaptively carryout complex Evaluating
activities or the ability, coming
from one's knowledge, practice, Creating
aptitude, etc., to do something
Attitude Valuing Participate actively in class discussion.
Values Valuing Makatao- Show patience in finding the factors of Polynomial with common
monomial factor
2. Content Factors of Polynomial with Common Monomial Factor.
3. Learning Resources LM, TG, Blackboard, Ballpen etc.
4. Procedures
4.1 Introductory Activity Recall that the distributive property is used to find the product of a polynomial and a
monomial. This property is also used to factor a polynomial with a common monomial factor.
5 minutes The GCF is very much in use, Examples :Find the GCF of 4x² and 8x. 4x² = 2.2.x.x, 8x=
4.2 Activity 2.2.2.x,
Factorsothe
theff.GCF is 4x. Use
Polynomials: the+GCF
1) 4x² inthe
8x , so dividing
GCF iseach term
4x, then of the
write eachpolynomial.
term as the
10 minutes product of the GCF and its other factor. 1) 4x²
+ 8x = 4x( x² + 2)
4.3 Analysis
What is common monomial factor?2)ax+ay+az = a(x + y+ z)
10 minutes
4.4 Abstraction
How to factor polynomials with common monomial factor?
10 minutes
4.5 Application Factor the ff. Polynomials: 1) ac+bc = 2) 6x +18y + 9z= 3) 5x³- 10x² + 15x
10 minutes 4) y³+ y² +y 5) 3x³ + 6x² + 9x
4.6 Assessment Anlysis of Learners'
Factor the following: 1) 18bc² - 24b²c 2) x³y² + x³y³ 3) 7a + 7b + 14
10 Products
minutes
4.7 Assignment Enhancing /
improving the day’s What is the relationship between products and its factors?
5 minutes
lesson
4.8 Concluding Activity
When learner is involved, he can learrn more.
10 minutes
5. Remarks
6. Reflections
A. No. of learners who earned 80% in the C. Did the remedial lessons work? No. of learners who have
evaluation. caught up with the lesson.
B. No. of learners who require additional
D. No. of learners who continue to require remediation.
activities for remediation.
E. Which of my learning 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 other
teachers?
Prepared by:
Name: ESTER T. ANDRADE School: CABONGA-AN NATIONAL HIGH SCHOOL
Position/
Designation: TEACHER-1 Division: CEBU PROVINCE
Contact
Number: 9307246190 Email address: esthertruz6@gmail.com
Instructional Planning
(The process of systematically planning, developing, evaluating and managing the
instructional process by using principles of teaching and learning - D.O. 42, s. 2016)
Detailed Lesson Plan (DLP) Format
Learning Area:
Grade
DLP No.: Level: Quarter: Duration:
1 Math 8 1 1 hour
Learning Competency/ies:
(Taken from the Curriculum Guide)
Key Concepts / Understandings
to be Developed Introduction of the course.
Adapted Cognitive Process
Domain Dimensions (D.O. No. 8, s. OBJECTIVES:
Knowledge 2015)
Remembering Identify prior knowledge of the students about the subject.
The fact or condition of
knowing something with
familiarity gained through Understanding
experience or association
Skills Applying
The ability and
capacity acquired through Analyzing
deliberate, systematic, and
sustained effort to smoothly and
adaptively carryout complex Evaluating
activities or the ability, coming
from one's knowledge, practice, Creating
aptitude, etc., to do something
Attitude Valuing Participate actively in class discussion.
Values Valuing
2. Content
3. Learning Resources
4. Procedures
4.1 Introductory Activity
5 minutes
4.2 Activity
10 minutes
4.3 Analysis
10 minutes
4.4 Abstraction
10 minutes
4.5 Application
10 minutes
4.6 Assessment Anlysis of Learners'
10 Products
minutes
4.7 Assignment Enhancing /
improving the day’s
5 minutes
lesson
4.8 Concluding Activity
10 minutes
5. Remarks
6. Reflections
A. No. of learners who earned 80% in the C. Did the remedial lessons work? No. of learners who have
evaluation. caught up with the lesson.
B. No. of learners who require additional D. No. of learners who continue to require remediation.
activities for remediation.
E. Which of my learning 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 other
teachers?
Prepared by:
Name: ESTER T. ANDRADE School: CABONGA-AN NATIONAL HIGH SCHOOL
Position/
Division:
Designation: TEACHER-1 CEBU PROVINCE
Contact
Email address:
Number: 9307246190 esthertruz6@gmail.com
t
Date:
June 4, 2018
TIVES:
bout the subject.
N NATIONAL HIGH SCHOOL
NCE
gmail.com
Instructional Planning
(The process of systematically planning, developing, evaluating and managing the instructional process by using
principles of teaching and learning - D.O. 42, s. 2016)
Detailed Lesson Plan (DLP) Format
Learning Area:
DLP No.: Grade Level: Quarter: Duration:
Mathematics 8 1 60
Learning Competency/ies:
Factors completely polynomials with common monomial factor.
(Taken from the Curriculum Guide)
Key Concepts / Understandings to be In factoring polynomials with common monomial factor, we need to find first the greatest common mono
Developed of the polynomial by the greatest common monomial factor.
Adapted Cognitive Process
Domain Dimensions (D.O. No. 8, s. 2015) OBJECTIVES:
Knowledge
The fact or condition Remembering Identify special products.
of knowing something with
familiarity gained through Understanding
experience or association
Applying Solve problems involving square of a binomial.
Skills
The ability Analyzing
and capacity acquired through
deliberate, systematic, and
sustained effort to smoothly and Evaluating
adaptively carryout complex
activities or the ability, coming from
one's knowledge, practice,
aptitude, etc., to do something Creating
Attitude Receiving Phenomena
Values Valuing
2. Content Triangle congruence
3. Learning Resources Learners' Manual and Teacher's Guide
4. Procedures
4.1 Introductory Activity Review the use of distributive property.
15 minutes
4.2 Activity Let the students solve the following using the knowledge they have in distributive property.
1. (x-3)² 2. (x+5)²
Let them observe their answer.
10 min
4.3 Analysis
Ask the questions:
1. How is the first term of the product related to the first term of the given binomial?
2. How is the last term of the product related to the last term of the given binomial?
3. What observation do you have about the middle term of the product and the produ
5 minutes the binomial?
4.4 Abstraction The square of a binomial consists of:
a. the square of the first term;
b. twice the product of the first and last terms; and
c. the square of the last term.
10 minutes Remember that the square of a binomial is called a perfect square trinomial.
4.5 Application Square the binomials using the patterns you learned:
1. (s + 4)² 2. (2q - 4)²
5 minutes
Solve the following:
1. (w - 5)²
2. (3z + 2k)²
3. (e - 7)²
Analysis of Learners' Product 4. (2x - 3y) (2x + 3y)
4.6 Assessment 10 minutes
5. (4z + 3x) (4z - 3x)
4.7 Assignment
Enhancing/Improving the lesson
3 minutes
4.8 Concluding Activity
Mathematics is not about numbers, equations, computations, or algoriths; it is about understanding.
2 minutes
5. Remarks
6. Reflections
A. No. of learners who earned 80% in the evaluation. C. Did the remedial lessons work? No. of learners who have caught up with the lesson.
B. No. of learners who require additional activities for
D. No. of learners who continue to require remediation.
remediation.
E. Which of my learning 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 other teachers?
Prepared by:
Name: ESTER T. ANDRADE School: CABONGA-AN NATIONAL HIGH SCHOOL
Position/
Division:
Designation:
TEACHER-1 CEBU PROVINCE
Contact
Email address:
Number: 9307246190 esthertruz6@gmail.com
nning
managing the instructional process by using
O. 42, s. 2016)
DLP) Format
Duration: Date:
60
M8AL-Ia-b-1
we need to find first the greatest common monomial factor and divide each term
tor.
OBJECTIVES:
al.
they have in distributive property.
d to the first term of the given binomial?
d to the last term of the given binomial?
middle term of the product and the product of the first and last terms of
st terms; and
called a perfect square trinomial.
rned:
+ 3y)
- 3x)
ions, or algoriths; it is about understanding.
of learners who have caught up with the lesson.
uire remediation.
ONGA-AN NATIONAL HIGH SCHOOL
U PROVINCE
ertruz6@gmail.com
attitude
Receiving Phenomena
Responding to Phenomena
Valuing
Organization
Internalizing values
assignment
Reinforcing / strengthening the day’s
lesson
Enriching / inspiring the day’s lesson
Enhancing / improving the day’s
lesson
Preparing for the new lesson
assessment
Observation
Talking to Learners/ Conferencing
Anlysis of Learners' Products
Tests
Instructional Planning
(The process of systematically planning, developing, evaluating and managing the instructional process by using
principles of teaching and learning - D.O. 42, s. 2016)
Detailed Lesson Plan (DLP) Format
Learning Area:
DLP No.: Grade Level: Quarter: Duration: Date: December 09, 2021
1 Mathematics 8 1 60
Learning Competency/ies:
Factors completely polynomials with common monomial factor. M8AL-Ia-b-1
(Taken from the Curriculum Guide)
Key Concepts / Understandings to be In factoring polynomials with common monomial factor, we need to find first the greatest common monomial factor and divide each
Developed term of the polynomial by the greatest common monomial factor.
Adapted Cognitive Process
Domain
Skills Dimensions (D.O. No. 8, s. 2015) OBJECTIVES: At the end of the lesson the learners would be able to:
The fact orThe condition
ability
of
andknowing
capacity something with
acquired through Remembering recall the process of finding the Greatest Common Factor (GCF) of a given polynomial.
familiarity gained through
deliberate, systematic, and
sustained effort to smoothly and Applying factor completely polynomials with common monomial factor.
adaptively carryout complex
activities or Attitude
the ability, coming from Receiving Phenomena to be responsive in whatever task vested to them.
one's knowledge, practice,
aptitude, etc., to do something
Values Valuing show patience in factoring polynomials with common monomial factor.
Subject Integrated Edukasyon sa Pagpapakatao
2. Content Factoring Polynomials with Common Monomial Factor
3. Learning Resources Learners' Manual and Teacher's Guide TG, LM, PowerPoint Presentation, chalkboard, chalk
4. Procedures
4.1 Introductory Activity Preliminaries:
* Prayer
*Checking of Attendance
*Reminders and Announcements
*Settling Down
Motivation: Look at the appearance of your classmates and of yourself. What factors do you have in common?
Why do you have those in common? {We those appearance in common because we were created by God
according to His own appearance.}
10 minutes
Show a different picture through power point presentation
The teacher asks the following questions
1. What have you observed in the picture?
2. What is common in each set of pictures?
4.2 Activity A. Show sets of numbers and monomials with common factor and let the students identify the Greatest
Common Factor among them.
1) {2, 18, 36} 2) {45, 72, 81, 90}
3) 6b² and 12b 4) 35x³ and 7x²
B. Find the factors of the following?
10 min 1) 3x² + 6x
2) 4x² + 2
4.3 Analysis Ask the questions:
1. What are factors?
2. How did you find the Greatest Common Factor of the given numbers and monomials?
10 minutes 3. How did you factor the polynomials that are given?
Finding a greatest common factor or GCF is the process of identifying what numbers and variables are
4.4 Abstraction group of terms has in common. In other words, what do they share?
Greatest - largest Common - shared Factor - factored piece
Example: 3x² + 6x
Step 1: Factor each term completely.
3●x●x + 3●2●x
Step2: Find all factors that are in common {the same in all terms}
3●x●x + 3●2●x Each term has 3 and x, then 3x is the GCF
Step 3: Divide each term in the polynomial by the GCF.
10 minutes
Step 4: Simplify each term by performing the division.
the factor of the polynomial 3x² + 6x
4.5 Application Factor the following completely:
5 minutes
Factor the following completely using common monomial factor:
Analysis of Learners' Product
4.6 Assessment 10 minutes
4.7 Assignment Enhancing/Improving the Try to formulate shorter and easier technique to factor out polynomials with common monomial factor. Present it
3 minutes lesson before the class next meeting.
4.8 Concluding Activity
Mathematics is not about numbers, equations, computations, or algorithms; it is about understanding.
2 minutes
5. Remarks
6. Reflections
A. No. of learners who earned 80% in the evaluation. C. Did the remedial lessons work? No. of learners who have caught up with the lesson.
B. No. of learners who require additional activities for
D. No. of learners who continue to require remediation.
remediation.
E. Which of my learning 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 other teachers?
Prepared by:
Name: CHERRYVER C. ANUTA School: CANGAWA NATIONAL HIGH SCHOOL
Position/
Division:
Designation: TEACHER-III BOHOL
Contact
Email address:
Number: 9070997964 cherryver.anuta@deped.gov.ph
