This document is a daily lesson log for a 7th grade mathematics class. It outlines the objectives, content, learning resources, procedures, and reflection for lessons on multiplying and dividing polynomials over the course of a week. The objectives are for students to multiply monomials using laws of exponents, multiply polynomials using the distributive property and FOIL method, and divide polynomials by monomials and binomials. The content covers patterns and algebra, including algebraic expressions/equations. Learning resources listed include textbooks and materials. The procedures provide examples and practice problems for students to multiply and divide polynomials. The reflection section evaluates student learning and identifies strategies for remediation.

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GRADE 7
DAILY LESSON LOG
School Grade Level 7
Teacher Learning Area Mathematics
Teaching Dates and Time Week 5 Quarter SECOND
MONDAY TUESDAY WEDNESDAY THURSDAY FRIDAY
I. OBJECTIVES Objectives must be met over the week and connected to the curriculum standards. To meet the objectives necessary procedures must be followed
and if needed, additional lessons, exercises, and remedial activities may be done for developing content knowledge and competencies. These are
assessed using Formative Assessment strategies. Valuing objectives support the learning of content and competencies and enable children to find
significance and joy in learning the lessons. Weekly objectives shall be derived from the curriculum guides.
A. Content Standard The learner demonstrates understanding of key concepts of algebraic expressions, the properties of real numbers as applied in linear equations,
and inequalities in one variable.
B. Performance Standard The learner is able to model situations using oral, written, graphical, and algebraic methods in solving problems involving algebraic expressions,
linear equations, and inequalities in one variable.
C. Learning Competency
31. Derives the laws of Exponent
M7AL-IIe-1
32. Multiplies and divides polynomials
M7AL-IIe-2
Objectives
The learner will be able to
M7AL-IIe-2
1. Multiply monomials using
the laws of exponents
2. Multiply a polynomial by a
monomial
3. Multiply two binomials
using FOIL method
4. Solve problems involving
multiplication of
polynomials
1. Divide monomial using laws
of exponents
2. Divide a polynomial by a
monomial
3. Divide a polynomial by
another polynomial(binomial)
4. Solve problem involving
division of polynomial
II. CONTENT Content is what the lesson is all about. It pertains to the subject matter that the teacher aims to teach in the CG, the content can be tackled in a week
or two.
Mathematics 7 PATTERNS AND ALGEBRA
Algebraic Equations Algebraic
Expressions/Equations
Equations/Inequalities in
one variable
III. LEARNING RESOURCES
A. References Mathematics 7
(Learners Material)
Elementary Algebra
( Bernabe)
Mathematics 7
(Learners Material)
Elementary Algebra
( Bernabe)
Mathematics 7
(Learners Material)
Elementary Algebra
( Bernabe)
Mathematics 7
(Learners Material)
Elementary Algebra
( Bernabe)
1. Teacher’s Guide pages

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2. Learner’s Materials pages
3. Textbook pages
4. Additional Materials from
Learning Resource (LR)portal
MTAP review materials MTAP review materials MTAP review materials
B. Other Learning Resource
IV. PROCEDURES These steps should be done across the week. Spread out the activities appropriately so that students will learn well. Always be guided by
demonstration of learning by the students which you can infer from formative assessment activities. Sustain learning systematically by providing
students with multiple ways to learn new things, practice their learning, question their learning processes, and draw conclusions about what they
learned in relation to their life experiences and previous knowledge. Indicate the time allotment for each step.
A. Reviewing previous lesson or
presenting the new lesson
B. Establishing a purpose for the lesson Presents the objectives of
the day.
Presents the objectives of the
day.
Presents the objectives of the
day.
C. Presenting examples/Instances of
the new lesson
Review:
Laws of Exponents for
multiplication and division
Review by answering the
assignment:
Emphasize that multiplying
monomial by a polynomial is
just the same with
multiplying polynomial by a
monomial
Divide the following
monomials using the laws of
exponent
1. 27/23
2. x4/x2
3. -8x4yz7/4x4y3z2
4. 3x5y3/6x2y5
Start by stating the process
in polynomial by a binomial

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D. Discussing new concepts and
practicing new skills # 1
Apply the laws of exponents in
multiplying polynomials
Ex.
1. (x3
)(x5
) = x8
2. (3x2
)(-5x10
) = -15x12
3. (x)(3x)(-4x)(-x) = 12x4
Multiplying two binomials
Ex.
(x + 4)(x + 3)
The process of multiplying
binomials using distributive
property is better known as
the FOIL method
Guide and solve the given
problem together with your
students one by one using the
laws of exponents
Give more examples if
necessary:
Divide the class into 7
groups and let them perform
each number by each group
in activity #1, LM, page 140
to decode the hidden
message of who is the father
of Archimedes
E. Discussing new concepts and
practicing new skills # 2
Ex. 3x(x2 – 5x + 7)
3x(x2) + (3x)(– 5x) +
(3x)( 7)
= 3x3 – 15x2 + 21x
First (x + 4)(x + 3) = x2
Outer (x + 4)(x + 3) = 3x
Inner (x + 4)(x + 3) = 4x
Last (x + 4)(x + 3) = 12
Combining like terms
= x2 + 3x + 4x + 12
= x2 + 7x + 12
Then introduce dividing
polynomial by a monomial.
Study and learn (by group )
Example #1 and 2 of the
learners material on page 141
to 142
Let your students read
suggested steps to follow and
study some examples on
pages 142 and 143 of the
learners material
F. Developing mastery
(leads to Formative Assessment )
Multiply the ff:
1. -2x(4x – 3)
2. 2x(4x2
+ - 5x + 3)
3. -5x2
y3
(2x2
y – 3x + 4y5
– 6)
Activity:
Solve using Foil method
1. (2x + 3)(x – 1)
2. (2x – 3)(x – 2)
What will happen if the sign of
the middle numbers are
unlike?
Seatwork:
1. (18y2 – 27y3)divided by-9y2
2. What is the quotient of 24x5
– 8x3 + 16x2 and 8x2
Operate the following:
1. Divide 7x + x3 – 6 by x – 2
2. If 5 is the number needed
to be multiplied by 9 to get
45, what polynomial is
needed to be multiplied to
x + 3 to get 2x2 + 3x – 9 ?
G. Finding practical application of
concepts and skills in daily living
The distance covered by a
car in 3x hour is 27x3 + 9x2 –
3x. Find the rate of the car?
What is the area of the box
given its dimensions:
4y – 8 and 3y + 5
The length of the rectangle is x
cm and its area is (x3 – x) cm2,
what is the measure of its
width?
The length of the rectangle is
3x – 5 , its area is
6x2 – 7x – 5. Find its width

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H. Making generalizations and
abstractions about the lesson
To multiply a monomial by
another monomial, simply
multiply the numerical
coefficients then multiply the
literal coefficients by applying
the basic laws of exponents.
To Multiply monomial by a
polynomial, simply apply the
distributive property and
follow the rule in multiplying
monomial by a binomial
Other way of multiplying
binomial by binomial, aside
from using the distributive
property known as FOIL
method
Is by multiply it vertically:
Each term in the multiplier
is multiply by each of the
term in the multiplicand.
To multiply a polynomial
with more than one term by
a polynomial with three or
more term. Simply distribute
the first term of the first
polynomial to each term of
the other polynomial. Repeat
the procedure up to the last
term and simplify the results
by combining similar term
To divide a polynomial by a
monomial apply this property
of fraction:
(a + b) / c = a/c + b/c
In dividing polynomial by a
binomial is just the same
with how to do long division
with whole number.
Rules:
1. Arrange the term of the
binomial and the polynomial
in descending order
2. Insert a 0 for any missing
term
3. Divide the first term of the
polynomial by the first term
of the binomial. The result is
the first term of the quotient.
4. Multiply the first term of
the quotient by the binomial
and subtract the results
from the first two terms of
the polynomial. Bring down
the next term
5. If the degree of the first
term of the remainder is less
than the degree of the first
term of the binomial divisor,
STOP. If not repeat step 2
and continue the process.
I. Evaluating learning When the expression is
divided by -2x3y2, the result
is 12xy2, what is the
expression?
Assignment:
Operate:
(3a – 4b + 2a2b – 7ab2)5ab3
Find the perimeter and area
of the rectangle whose
length equals 3x – 5 and
width of x - 6
Divide – 36y3 – 18y4 + 24y by -
3y
The volume of the rectangular
box is x3 + 2x2 – 5x + 12 and
its height is x + 4, What is the
area of its base?
J. Additional activities for application
or remediation
V. REMARKS

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VI. REFLECTION Reflect on your teaching and assess yourself as a teacher. Think about your students’ progress this week. What works? What else needs to be done
to help the students learn? Identify what help your instructional supervisors can provide for you so when you meet them, you can ask them
relevant questions.
A. No. of learners who earned 80% in
the evaluation
B. No. of learners who require
additional activities for remediation
who scored below 80%
C. Did the remedial lessons work? No.
of learners who have caught up with
the lesson
D. No. of learners who continue to
require remediation
E. Which of my teaching 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?
Footnote:
This material has been formulated for the benefit of the teachers and learners as reference to ease preparation of learning plan. Yet, you are given the right to make some changes as your
locality/learners need but not the competencies.
Thank you.