The document is a daily lesson log for a 7th grade mathematics class covering algebraic expressions. It includes the objectives, content, procedures, and resources for lessons on translating phrases, algebraic expressions, classifying polynomials, and laws of exponents. The lessons introduce key concepts such as constants, variables, coefficients, terms, polynomials, monomials, binomials, and trinomials. Students practice skills like translating phrases, identifying algebraic components, classifying polynomials, and working with exponents. Formative assessments are used to check understanding of these essential algebraic concepts.

1. Republic of the Philippines
Department of Education
Region VIII
Division of Samar
DISTRICT OF MARABUT
Marabut, Samar
GRADES 1 to
12 DAILY
LESSON LOG
School Osmeña National High School Grade Level Grade 7
Teacher Angelina S. Tabugoca Learning Area Mathematics
Inclusive Dates November 28-29 & December 1-2 Section
Week No. 4 Scheduled Time
I. OBJECTIVES TUESDAY WEDNESDAY THURSDAY FRIDAY
A. Content Standard The learner demonstrates understanding of key concepts of algebraic expression, the properties of real numbers as applied in linear equations and
inequalities in one variable.
B. Performance Standards 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 Competencies /
Objectives (Write the LC Code)
Translates English phrases to mathematical phrases and English sentences to mathematics sentences, and vice versa. (No MELC Code given)
(K to 12 MELCs with CG Codes DepEd Commons p. 288
Illustrates and differentiates related terms in algebra:
a. 𝑎𝑛
where 𝑛 is a positive integer
b. constants and variables
c. literal coefficients and numerical coefficients
d. algebraic expressions, terms, and polynomials
e. number of terms, degree of the term and degree of the polynomial.
D. Specific
Learning
Objectives
Knowing Remembering
Identify the words / phrases that
are used to indicate mathematical
operations.
Define constant, variable,
coefficient, term and algebraic
expressions
Define polynomial, monomial,
binomial and trinomial
Identify the base and exponent of
a given expression
Under-
standing
Understanding
Identify the constant, variable,
coefficient, and number of terms
Classify polynomials according
to the number of terms.
Identify the degree of a given
polynomial.
Illustrate 𝑎𝑛
where 𝑛 is a
positive integer

2. Applying
Translate verbal phrases to
mathematical phrases and vice
versa.
Analyzing
Illustrate and differentiate terms
related to Algebra
Evaluating Evaluate an.
Doing Creating
Integration
Value accumulated knowledge as
means of new understanding.
Value accumulated knowledge as
means of new understanding.
Value accumulated knowledge as
means of new understanding.
Value accumulated knowledge as
means of new understanding
II. CONTENT
Verbal Phrases and
Mathematical Phrases
Algebraic Expressions
(Constants, Variables,
Coefficients, and Terms)
Classifying Polynomials Laws of Exponents
III. LEARNING RESOURCES
A. References
1. Teacher’s Guide pages
2. Learners’ Materials pages
pp. 117 – 121 pp.126 - 129 pp.126 - 129
3. Textbook pages Orlando A. Oronce and Marilyn O.
Mendoza e-math, Worktext in
Mathematics 7 pp. 166-168
Gladys C. Nivera, Making
Connections in Mathematics I pp. 99
– 104
Orlando A. Oronce and Marilyn O.
Mendoza e-math, Worktext in
Mathematics 7 pp. 177-182
Gladys C. Nivera, Making
Connections in Mathematics I pp.
99 – 104
4. Additional Materials from
Learning Resources Portals
B. Other Learning Resources https://www.palmbeachstate.edu/prepmathlw/
Documents/translatingkeywords.pdf
IV. PROCEDURES
A. Revisiting previous lesson or
presenting the new lesson
Review on constant and variable. Review on translating verbal phrases
to mathematical phrases and vice
versa
Review on constant, variable,
coefficient, term, and algebraic
expressions
Review on polynomials
Pre-Assessment
Give the product of each of the
following as fast as you can.
a) 3 x 3 = ________
b) 4 x 4 x 4 = ________
c) 5 x 5 x 5 = ________
d) 2 x 2 x 2 = ________
e) 2 x 2 x 2 x 2 = _______
f) 2 x 2 x 2 x 2 x 2 =______
B. Establishing a purpose for the
lesson
Present the topic and its
objectives:
 Identify the words / phrases
that are used to indicate
mathematical operations.
Present the topic and its objectives:
 Define constant, variable,
coefficient, term and algebraic
expressions
Present the topic and its
objectives:
 Define polynomial, monomial,
binomial and trinomial
Present the topic and its
objectives:
 Identify the base and
exponent of a given
expression

3.  Translate verbal phrases to
mathematical phrases and
vice versa.
 Value accumulated
knowledge as means of new
understanding.
 Identify the constant, variable,
coefficient, and number of
terms
 Value accumulated knowledge
as means of new
understanding.
 Classify polynomials
according to the number of
terms.
 Identify the degree of a given
polynomial.
 Value accumulated knowledge
as means of new
understanding.
 Illustrate 𝑎𝑛
where 𝑛 is a
positive integer
 Evaluate an.
 Value accumulated
knowledge as means of new
understanding
C. Presenting examples/ instances
of the new lesson
Given a series of examples, let the
students define the following:
1. constant
2. variable
3. coefficient
4. term
5. algebraic expressions
Define the following terms by
giving examples:
1. monomial
2. binomial
3. trinomial
4. degree of a monomial
5. degree of a polynomial
Define the following:
1. base
2. exponent

4. D. Discussing new concepts and
practicing new skills #1
TRANSLATING KEY WORDS
AND PHRASES INTO
ALGEBRAIC EXPRESSIONS
The table above lists some key words
and phrases that are used to describe
common mathematical operations.
Examples of Algebraic
expressions:
−4, 𝑥, 2𝑥𝑦3
, −4𝑚,
𝑚 − 2, 2𝑥3
+ 3𝑥 − 2
Consider the following:
Discuss this example thoroughly by
illustrating and differentiating terms
related to algebra.
Present the procedure in
identifying or classifying
polynomials:
a. Look for plus or minus signs
separating the terms.
(Although we defined a
polynomial as a sum of one or
more terms, any one of those
could be a negative term.)
b. Make sure that there are no
variables in the denominator
of any of the terms, nor any
variable under the radical
sign)
c. Count the number of terms
and name the expressions
accordingly.
Use the pre-assessment as the
springboard in defining base and
exponent.
Give the product of each of the
following as fast as you can.
a) 3 x 3 = ________
b) 4 x 4 x 4 = ________
c) 5 x 5 x 5 = ________
d) 2 x 2 x 2 = ________
e) 2 x 2 x 2 x 2 = _______
f) 2 x 2 x 2 x 2 x 2 =______
Based on the above example,
express each item in terms of
base and exponent.
a) 32
b) 43
c) 53
d) 23
e) 24
f) 25
E. Discussing concepts and
practicing new skills #2
Present the following examples to
the students and let them
understand how translation is
done.
Activity: Identify Me1!
Directions: Identify the constants,
variables, numerical coefficient,
literal coefficient, and terms in each
algebraic expression.
A. Identify the following
polynomials:
1. 4𝑥2
𝑦3
2. 𝑥2
− 10
3. −30
4. 3𝑥4
− 5𝑥 + 8
Rewrite each of these in
exponential form. (an)
a) 5∙5∙5∙5∙5 = ______
b) (a)(a)(a)(a) = ______
c) 6∙x∙x∙x∙x∙x∙x= ______
d) 7∙7∙y∙y = ______
e) 10 = ______

5. Verbal Phrase
Algebraic
Translation
the product of 8 and m 8m
10 times c 10c
twice x 2x
½ of p 1/2p
7 multiplied by b 7b
the quotient of 8 and m 8/m
10 divided by c 10/c
The ratio of 7 to a 7/a
P split into 4 equal parts p/4
X divided by into 10 10/x
10 divided into q q/10
5. 2𝑎3
+
𝑏𝑐
𝑎
B. Identify the degree of each
polynomial.
1. 2𝑎3
𝑏2
𝑐 + 5
2. 10𝑥5
− 8𝑥3
+ 8𝑥 + 4
F. Developing mastery
(Leads to Formative
Assessment 3)
A. Let the students translate the
following by writing at least two
verbal phrases for each
expression:
1. 8-3
2. n + 5
3.
2+𝑛
3
4.
3+𝑛
4
B. Let 𝑛 a certain number. Then
translate each into an algebraic
expression.
1. 9 more than a number
2. 14 decreased by a number
3. 12 more than 5 times a number
Activity: Identify Me2!
Directions: Identify the constants,
variables, numerical coefficient,
literal coefficient, and terms in each
algebraic expression.
Classify and identify each of the
following polynomials as to
number of terms and degree.
A. Express the following in
exponential from and find the
value of the expression:
1. 3⋅ 3 ⋅ 3 ⋅ 3
2. 7⋅7⋅7
3. z⋅z⋅z⋅z⋅z
4. 4⋅ 4 ⋅ 4 ⋅ 4 ⋅ 4
5. (2x)(2x)(2x)

6. 4. a number divided by 7
5. 2 raised to a number
G. Finding practical applications of
concepts and skills in daily living
Group Activity
H. Making generalizations and
abstractions about the lesson
In translating verbal phrases into
mathematical phrases, consider
the following terms:
 Addition would indicate an
increase, a putting together, or
combining. Thus, phrases like
increased by and added to are
addition phrases.
 Subtraction would indicate a
lessening, diminishing action.
Thus, phrases like decreased
by, less, diminished by are
subtraction phrases.
 Multiplication would indicate a
multiplying action. Phrases like
multiplied by or times are
multiplication phrases.
 Division would indicate
partitioning, a quotient, and a
Algebraic Expressions is a
statement containing one or more
terms connected by plus or minus
signs.
A term (algebraic term) is a
number, variable, or a product or
quotient of numbers and variables.
A variable is a symbol (usually
letter/letters) used to represent an
unknown quantity (number).
A constant is a single number or a
number, letter, or symbol which
value is fixed.
Numerical Coefficient is the
number in an algebraic term.
Classifying Polynomials based on
the Number of Terms
1. A polynomial with one term is
called a monomial
2. A polynomial with two terms is
called a binomial
3. A polynomial with three terms is
called a trinomial
Degree:
The degree of a monomial is the
total number of times its variable
occurs as factors
The degree of a polynomial is the
greatest of the degree of its term
The exponent tells us how many
times the base is multiplied by
itself. The base is the factor
which is to be multiplied by itself
n times to obtain the product.
The power refers to the product
of equal factors.
To interpret an where n is a
positive integer:
an= a x a x a x a ….. (n times)
*a is called the base
*n is called the exponent
Ex. 53 = 5x5x5 = 125

7. ratio. Phrases such as divided
by, ratio of and quotient of are
common for division.
Literal Coefficient is a letter used to
represent a number.
Polynomial is an algebraic
expression that represents a sum of
one or more terms containing whole
number exponents on the variables.
I. Evaluating learning Directions: Translate the given
verbal phrases into mathematical
expressions or vice versa.
a) The sum of a number and
three
b) Four times a certain number
decreased by one
c) The ratio of a number x and six
increased by two
d) A certain number decreased by
two
e) The product of p and q divided
by three
f) 9m
g) 4x– 7
h) 5(x+1)
i) 4 + x
j) 2a + 3
Directions: Identify the constants,
variables, numerical coefficient,
literal coefficient, and terms in each
algebraic expression.
Classify and identify each of the
following polynomials as to
number of terms and degree.
Identify the base and the
exponent. Then evaluate the
expression.
a) 28
b) 82
c) 51
d) 32
e) 182
J. Additional activities for
application or remediation
1. Follow-up: Write your own
pair of mathematical
phrase and its verbal
translation.
2. Study: Polynomials
Define the following:
1. Monomial
2. Binomial
3. Trinomial
1. Follow-up Activity:
Rewrite in exponential form:
a)(xyz)(xyz)(xyz)
b)3∙3∙3∙x∙x∙y∙y∙y
2. Study: Laws of Exponent
pages 126-129 (Learner’s
Material)
V. REMARKS
REFLECTION

8. VI. No. of learners who earned 80%
in the evaluation.
A. No. of learners who require
additional activities for
remediation
B. Did the remedial lessons work?
No. of learners who have caught
up with the lesson.
C. No. of learners who continue to
require remediation.
D. Which of my teaching strategies
worked well? Why did it work?
E. Which of my teaching strategies
worked well? Why did it work?
F. What difficulties did I encounter
which my principal or supervisor
can help me solve?
G. What innovation or localized
materials did I used/discover
which I wish to share with other
learners?
Prepared by:
ANGELINA S. TABUGOCA
Teacher III
Reviewed by:
GLENDA G. SEBANDAL.
MT-I, Department Head – Designate
Noted:
CONCEPCION P. MABINI
Secondary School Principal IV