Republic of the Philippines
Department of Education
SCHOOLS DIVISION OF OCCIDENTAL MINDORO
MAPAYA NATIONAL HIGH SCHOOL
Mapaya, San Jose, Occidental Mindoro
GRADES 8
DAILY LESSON
LOG
School
Teacher
Teaching Date & Time
Mapaya National High School
Amy F. Gabay
August 29- September1, 2023/ 7:30- 4:00
Day 1
Day 2
Grade Level
Learning Area
Quarter
Day 3
Grade 8- Amethyst, Garnet, & Pearl
Mathematics
First
Day 4
I. Objectives
A. Content Standards
B. Performance
Standards
C. Learning
Competencies
II. Content
The learner demonstrates understanding of key concepts of factors of polynomials, rational algebraic expressions, linear equations, and inequalities in two variables,
systems of linear equations and inequalities in two variables and linear functions.
The learner is able to formulate real- life problems involving factors of polynomials, rational algebraic expressions, linear equations and inequalities in two variables,
systems of linear equations and inequalities in two variables and linear functions, and solve these problems accurately using a variety of strategies.
Develop self- exploration and self- Factors completely different types of
Factors completely different types of
Factors completely different types of
expression, as well as a sense of
polynomials (polynomial with common
polynomials (polynomial with
polynomials (polynomial with common
empathy toward others.
monomial factor, difference of two
common monomial factor, difference monomial factor, difference of two
squares, sum and difference of two
of two squares, sum and difference of squares, sum and difference of two cubes,
cubes, perfect square trinomials, and
two cubes, perfect square trinomials,
perfect square trinomials, and general
general trinomials).M8AL-Ia-b-1
and general trinomials). M8AL-Ia-b-1 trinomials). M8AL-Ia-b-1
Psychosocial Support
Factoring by Greatest Common
Monomial Factor (CMF)
III. Learning Resources
A. References
1. Teacher’s Guide Pages
2. Learner’s Materials
Pages
3. Textbook Pages
4. Additional Materials
from Learning Resources
(LR Portal)
B. Other Learning
Resources
Psychosocial Support Activity
Pack A Teacher’s Guide
Project Share
https://drive.google.com/file/d/1tJET1L0B
6n3BFgLPwTky99Qr7PXuvf11/view?usp
=sharing
https://drive.google.com/file/d/1eqpnYIvy
D0zxUzQKQiSdZxwIvruPTejv/view?usp=
shar
pages 4-11
IV. Procedure
A. Review Previous
Lessons
B. Establishing purpose
for the Lesson
C. Presenting examples
/instances of the new
lessons
D. Discussing new
concepts and practicing
new skills #1.
E. Discussing new
concepts & practicing
new skills #2)
F. Developing Mastery
(Leads to Formative
Assessment 3)
G. Finding Practical
Applications of concepts
and skills in daily living
H. Making
Generalizations &
Abstractions about the
lessons
Establishing the Rapport
* Getting to know each other
Ask the learners to look for the
commonality on the given pictures.
Feelings Check- In: Weather
Report
Let the learners find the GCF of 8 and
12, and 𝑛3 , 𝑛5 , 𝑛6 , 𝑛9 .
* Check- in/ Kumustahan
The teacher will discuss on how to factor
completely the polynomials with
common monomial factor.
- Key terms
- Examples
The teacher will discuss and gives
examples on getting the greatest common
factor of three monomials.
Main activity: Different Kinds of
Feeling
Ask the learners to factor completely the
following by getting the greatest
common monomial factor.
Sharing
Ask the learners the importance of
factoring completely by getting the
greatest common monomial factor in
daily living.
Let the learners reflect on the activities
they have done by completing the
following statements.
Synthesis Questions and Points
The 3 things I have learned are ______.
The one thing that I want to know more
about is _________.
I. Evaluating Learning
Closing: Key Message
Factor completely the following by
getting the greatest common monomial
factor to complete the statement.
1. 7𝑝2 − 7𝑝
2. 18xy + 3y
3. 15𝑚3 − 15𝑚2 + 20𝑚
J. Additional activities
for application or
remediation
4. 17𝑥 5 − 51𝑥 4 − 34𝑥
5. 35𝑥 5 𝑦 2 + 21𝑥 4 𝑦 + 14𝑥 3 𝑦 2
Let the learners take note of their
assignments that can be found on their
modules at page 11, Activity 2: You
Complete Me
V. Remarks
VI. Reflection
A. No. of learners who earned
80% in the evaluation
B. No. of learners who requires
additional activities for
remediation who scored below
80%
C. No. of learners who caught
up with the lessons
D. No. of learners who continue
to require remediation
E. Which of my teaching
strategies worked well? Why
did this work?
F. What difficulties did I
encounter which my
principal/supervisor can help
me solve?
G. What innovations or
localized materials did I
used/discover which I wish to
share with other teachers?
Prepared by:
Checked by:
EMMA B. GANSIT
Head Teacher I
AMY F. GABAY
Teacher III
Noted:
MARIA NIMFA T. DE GUZMAN
Principal II
Mapaya National High School – 301589 –
Mapaya I, San Jose, Occidental Mindoro
CP No. 0995- 758- 7463 / E-mail Address: 301589@deped.gov.ph / FB: www.facebook.com/mapayanhs
“Bridging Your Dreams to Success”
Republic of the Philippines
Department of Education
SCHOOLS DIVISION OF OCCIDENTAL MINDORO
MAPAYA NATIONAL HIGH SCHOOL
Mapaya, San Jose, Occidental Mindoro
GRADES 8
DAILY LESSON
LOG
School
Teacher
Teaching Date & Time
Grade Level
Learning Area
Quarter
Mapaya National High School
Amy F. Gabay
September 4- 8, 2023/ 7:30- 4:00
Day 1
Day 2
Grade 8- Amethyst, Garnet, & Pearl
Mathematics
First
Day 3
Day 4
I. Objectives
A. Content Standards
B. Performance
Standards
C. Learning
Competencies
II. Content
The learner demonstrates understanding of key concepts of factors of polynomials, rational algebraic expressions, linear equations, and inequalities in two variables,
systems of linear equations and inequalities in two variables and linear functions.
The learner is able to formulate real- life problems involving factors of polynomials, rational algebraic expressions, linear equations and inequalities in two variables,
systems of linear equations and inequalities in two variables and linear functions, and solve these problems accurately using a variety of strategies.
Factors completely different types of
Factors completely different types of
Factors completely different types of
Factors completely different types of
polynomials (polynomial with
polynomials (polynomial with
polynomials (polynomial with
polynomials (polynomial with common
common monomial factor, difference
common monomial factor, difference
common monomial factor, difference
monomial factor, difference of two
of two squares, sum and difference of
of two squares, sum and difference of
of two squares, sum and difference of
squares, sum and difference of two cubes,
two cubes, perfect square trinomials,
two cubes, perfect square trinomials,
two cubes, perfect square trinomials,
perfect square trinomials, and general
and general trinomials). M8AL-Ia-b-1
and general trinomials).M8AL-Ia-b-1
and general trinomials). M8AL-Ia-b-1 trinomials). M8AL-Ia-b-1
Factoring by Greatest Common
Factoring Difference of Two
Factoring Difference of Two Squares
Factoring Sum and Difference of Two
Monomial Factor (CMF)
Squares
Cubes
III. Learning Resources
A. References
1. Teacher’s Guide Pages
2. Learner’s Materials
Pages
3. Textbook Pages
4. Additional Materials from
Learning Resources (LR Portal)
B. Other Learning
Resources
Project Share
Project Share
Project Share
Project Share
https://drive.google.com/file/d/1tJET1L0
B6n3BFgLPwTky99Qr7PXuvf11/view?
usp=sharing
https://drive.google.com/file/d/1tJET1
L0B6n3BFgLPwTky99Qr7PXuvf11/vi
ew?usp=sharing
https://drive.google.com/file/d/1tJET1L0
B6n3BFgLPwTky99Qr7PXuvf11/view?u
sp=sharing
https://drive.google.com/file/d/1tJET1L0B6
n3BFgLPwTky99Qr7PXuvf11/view?usp=s
haring
https://drive.google.com/file/d/1eqpnYIv
https://drive.google.com/file/d/1eqpnY
https://drive.google.com/file/d/1eqpnYIv
https://drive.google.com/file/d/1eqpnYIvyD
yD0zxUzQKQiSdZxwIvruPTejv/view?u
sp=shar
IvyD0zxUzQKQiSdZxwIvruPTejv/view
?usp=shar
pages 4-11
pages 12- 18
IV. Procedure
A. Review Previous
Lessons
B. Establishing purpose
for the Lesson
C. Presenting examples
/instances of the new
lessons
D. Discussing new
concepts and practicing
new skills #1.
pages 12- 18
pages 18- 25
Let the learners express 8𝑥 6 to the power
of 3.
Power of 3! Ask the learners to express
the given in exponential form with a
power.
Activity 1: Tell Me!
Activity 1: Cube to the Left, Cube to the
Right
Let the learners determine whether the
given polynomials are sum of two cubes,
difference of two cubes, or neither sum
nor difference of two cubes.
Activity: See the Pattern
Ask the learners to follow the process in
multiplying the polynomials.
Activity 3: Whole to Parts
Ask the learners to choose the right
factors that correspond to each given
polynomial.
G. Finding Practical
Applications of concepts
and skills in daily living
0zxUzQKQiSdZxwIvruPTejv/view?usp=sh
ar
Let the learners find the GCMF of
the given polynomials.
Powerful 2! Ask the learners to
determine which of the given is a
perfect square. Let them write P if it
is a perfect square and N if it is not.
Squares of Plus and Minus: Ask the
learners to determine the product of
each sum and difference of two
terms.
Let the learners tell whether or not
the given binomial is a difference of
two squares. If it is, write D. If it is
not, write N
Activity 2: Missing You
Let them find the missing term of the
factors.
E. Discussing new
concepts & practicing
new skills #2)
F. Developing Mastery
(Leads to Formative
Assessment 3)
H. Making
Generalizations &
Abstractions about the
lessons
yD0zxUzQKQiSdZxwIvruPTejv/view?us
p=shar
Let the learners reflect on the activities
they have done by completing the
following statements.
Ask the learners to give example of
binomial where the resulting factors
after using the pattern for sum and
difference of two squares are still
factorable using the same method.
Let the learners reflect on the activities
they have done by completing the
following statements.
The 3 things I have learned are _____.
The 3 things I have learned are ______.
The one thing that I want to know
more about is _________.
The one thing that I want to know more
about is _________.
I. Evaluating Learning
Let the learners factor completely the
following by getting the greatest
common monomial factor to complete
the statement.
Activity 4: When I Broke It, I Found It!
Amethyst:
Garnet:
Amethyst:
Garnet:
Pearl:
Amethyst:
Garnet:
Amethyst:
Garnet:
Pearl:
Amethyst:
Garnet:
Amethyst:
Garnet:
Pearl:
Amethyst:
Garnet:
Amethyst:
Garnet:
Pearl:
Ask the learners to factor completely
the given polynomials by supplying the
missing terms.
J. Additional activities
for application or
remediation
V. Remarks
VI. Reflection
A. No. of learners who earned
80% in the evaluation
B. No. of learners who requires
additional activities for
remediation who scored below
80%
C. No. of learners who caught
up with the lessons
D. No. of learners who continue
to require remediation
Pearl:
Pearl:
Pearl:
Pearl:
E. Which of my teaching
strategies worked well? Why
did this work?
F. What difficulties did I
encounter which my
principal/supervisor can help
me solve?
G. What innovations or
localized materials did I
used/discover which I wish to
share with other teachers?
Prepared by:
Checked by:
EMMA B. GANSIT
Head Teacher I
AMY F. GABAY
Teacher III
Noted:
MARIA NIMFA T. DE GUZMAN
Principal II
Mapaya National High School – 301589 –
Mapaya I, San Jose, Occidental Mindoro
CP No. 0995- 758- 7463 / E-mail Address: 301589@deped.gov.ph / FB: www.facebook.com/mapayanhs
“Bridging Your Dreams to Success”
Republic of the Philippines
Department of Education
SCHOOLS DIVISION OF OCCIDENTAL MINDORO
MAPAYA NATIONAL HIGH SCHOOL
Mapaya, San Jose, Occidental Mindoro
GRADES 8
DAILY LESSON
LOG
School
Teacher
Teaching Date & Time
Mapaya National High School
Amy F. Gabay
September 11- 15 2023/ 7:30- 4:00
Day 1
Day 2
Grade Level
Learning Area
Quarter
Day 3
Grade 8- Amethyst, Garnet, & Pearl
Mathematics
First
Day 4
I. Objectives
A. Content Standards
B. Performance
Standards
C. Learning
Competencies
II. Content
The learner demonstrates understanding of key concepts of factors of polynomials, rational algebraic expressions, linear equations, and inequalities in two variables,
systems of linear equations and inequalities in two variables and linear functions.
The learner is able to formulate real- life problems involving factors of polynomials, rational algebraic expressions, linear equations and inequalities in two variables,
systems of linear equations and inequalities in two variables and linear functions, and solve these problems accurately using a variety of strategies.
Factors completely different types of
Factors completely different types of
Factors completely different types of
Factors completely different types of
polynomials (polynomial with
polynomials (polynomial with
polynomials (polynomial with
polynomials (polynomial with common
common monomial factor, difference
common monomial factor, difference
common monomial factor, difference
monomial factor, difference of two
of two squares, sum and difference of
of two squares, sum and difference of
of two squares, sum and difference of
squares, sum and difference of two cubes,
two cubes, perfect square trinomials,
two cubes, perfect square trinomials,
two cubes, perfect square trinomials,
perfect square trinomials, and general
and general trinomials). M8AL-Ia-b-1
and general trinomials). M8AL-Ia-band general trinomials). M8AL-Ia-b-1 trinomials). M8AL-Ia-b-1
1
Factoring Sum and Difference of Two
Factoring Perfect Square Trinomials
Factoring Perfect Square Trinomials
Factoring General Trinomials
Cubes
III. Learning Resources
A. References
1. Teacher’s Guide Pages
2. Learner’s Materials Pages
3. Textbook Pages
4. Additional Materials from
Learning Resources (LR Portal)
Mathematics Module: Quarter 1Module 1B: Factoring Perfect Square
Trinomials and General Trinomials
pages 4- 10
Mathematics Module: Quarter 1Module 1B: Factoring Perfect Square
Trinomials and General Trinomials
pages 4- 10
Mathematics Module: Quarter 1- Module
1B: Factoring Perfect Square Trinomials
and General Trinomials pages 10-21
B. Other Learning
Resources
Project Share
https://drive.google.com/file/d/1tJET1L0B6n
3BFgLPwTky99Qr7PXuvf11/view?usp=shari
ng
DepEd TV
https://youtu.be/UV6IfPAQM30
https://youtu.be/uQW9kYQVxIU
https://youtu.be/2BZQoIF_SGM
https://drive.google.com/file/d/1eqpnYIvyD0z
xUzQKQiSdZxwIvruPTejv/view?usp=shar
DepEd TV
https://youtu.be/UV6IfPAQM30
https://youtu.be/uQW9kYQVxIU
https://youtu.be/2BZQoIF_SGM
pages 18- 25
IV. Procedure
A. Review Previous
Lessons
Activity : Remember Me!
Ask the learners to fill- in the
missing term following the pattern
Activity: The Two of Us
Ask the learners to think of numbers
whose sum and product are given on the
table.
in squaring a binomial.
B. Establishing purpose
for the Lesson
Activity: Am I Perfect?
Let the learners determine the given
expressions are perfect square
trinomials.
Questions to Ponder:
Let the learners answer the given
questions.
C. Presenting examples
/instances of the new
lessons
D. Discussing new
concepts and practicing
new skills #1.
E. Discussing new
concepts & practicing
new skills #2)
F. Developing Mastery
(Leads to Formative
Assessment 3)
Activity 2: The Missing Parts
Ask the learners to complete the given
products.
Activity 3: Break the Cubes
Let the learners factor completely the given
polynomials by sum and difference of two
cubes.
G. Finding Practical
Applications of concepts
and skills in daily living
Questions to ponder: Let the learners to
answer the given problems.
H. Making
Generalizations &
Abstractions about the
lessons
Let the learners reflect on the activities they
have done by completing the following
statements.
The 3 things I have learned are _____.
The one thing that I want to know more
about is _________.
Questions to Ponder:
Let the learners to answer the given
problems.
Activity: Grilling with FOIL
Let the learners to follow the process in
multiplying the binomials using FOIL
method and answer the questions that
follow.
Activity 1: Missing You!
Ask the learners to fill in the blank of the
given equation.
Activity 1: You’re the One
Ask the learners to supply the
missing term of the factor of the
given perfect trinomials.
Activity 2: Break it Perfectly
Ask the learners to factor the following
completely by writing each of the
perfect square trinomial as the square
of a binomial.
Let the learners to complete the
paragraph by filling in the blanks with
correct word/s or figure/s which they
can choose from the box
Activity 2: Break It to Me Gently
Ask the learners to factor each trinomial
completely, if possible. If the polynomial
is not factorable, write PRIME.
Let the learners reflect on the activities they
have done by completing the following
statements.
The 3 things I have learned are _____.
The one thing that I want to know more
about is _________.
Let the learners reflect on the activities they
have done by completing the following
statements.
The 3 things I have learned are _____.
The one thing that I want to know more about
is _________.
Ask the learners to study and analyze the
given problem.
I. Evaluating Learning
Performance Task Number 1:
Packing Breakables
Ask the learners to factor completely the
polynomial by reading and analyzing the
given problem. Let them answer the
questions that follows.
Let the learners to answer the given
questions to facttor completely perfect
square trinomials.
Written Work Number 1: Do More!
Let the learners to factor completely each
of the given expressions.
Amethyst:
Garnet:
Amethyst:
Garnet:
Pearl:
Amethyst:
Garnet:
Amethyst:
Garnet:
Pearl:
Amethyst:
Garnet:
Amethyst:
Garnet:
Pearl:
Amethyst:
Garnet:
Amethyst:
Garnet:
Pearl:
Amethyst:
Garnet:
Amethyst:
Garnet:
Pearl:
Amethyst:
Garnet:
Amethyst:
Garnet:
Pearl:
J. Additional activities for
application or remediation
V. Remarks
VI. Reflection
A. No. of learners who earned
80% in the evaluation
B. No. of learners who requires
additional activities for
remediation who scored below
80%
C. No. of learners who caught
up with the lessons
D. No. of learners who continue
to require remediation
Pearl:
Pearl:
Pearl:
Pearl:
E. Which of my teaching
strategies worked well? Why
did this work?
F. What difficulties did I
encounter which my
principal/supervisor can help
me solve?
G. What innovations or
localized materials did I
used/discover which I wish to
share with other teachers?
Prepared by:
Checked by:
AMY F. GABAY
Teacher III
EMMA B. GANSIT
Head Teacher I
Noted:
MARIA NIMFA T. DE GUZMAN
Principal II
Mapaya National High School – 301589 –
Mapaya I, San Jose, Occidental Mindoro
CP No. 0995- 758- 7463 / E-mail Address: 301589@deped.gov.ph / FB: www.facebook.com/mapayanhs
“Bridging Your Dreams to Success”
Pearl:
Pearl: