Mission
Republic of the Philippines
Vision
The premier University in
historic Cavite recognized for
excellence in the development
of globally competitive and
morally upright individuals.
CAVITE STATE UNIVERSITY
Silang Campus
Biga I, Silang, Cavite
A Detailed Lesson Plan for Grade 7
Algebraic Expression
Cavite State University shall provide
excellent, equitable, and relevant
educational opportunities in the arts,
sciences and technology through
quality instruction and responsive
research and development activities.
It shall produce professional, skilled
and morally upright individuals for
global competitiveness.
I. Objectives
At the end of discussion, the students should be able to:
A. translates English phrases to mathematical phrases and vice versa;
B. relate the algebraic expression in real life situation; and
C. evaluates algebraic expressions for given values of the variables.
II. Subject Matter
A. Topic: Algebraic Expression
B. Materials:

Cartolina and strips of paper for the lesson proper and application.
C. Values Integrated:

Relating the algebraic expression in real life situation.
D. References:

Mateo, MAT, R. R. & Mercado, PhD, E. T. (2014). Integrated Mathematics.
Dasmariñas City, Philippines: Siam Rein Publishing House.

Oronce, O. A. & Mendoza, M. O. (2011). e-Math (K to 12). Philippines: Rex Book
Store

Idrees, M. (2019b, June 12). Introduction to Algebraic Expressions and Polynomials.
Retrieved November 10, 2019, from
https://www.emathzone.com/tutorials/algebra/introduction-to-algebraic-expressionand-polynomials.html

Evaluate expressions (Pre-Algebra, Introducing Algebra) – Mathplanet. (n.d.).
Retrieved November 10, 2019, from https://www.mathplanet.com/education/prealgebra/introducing-algebra/evaluate-expressions

Introduction to Algebra. (2017). Retrieved November 10, 2019, from
https://www.mathisfun.com/algebra/introduction.html
III. Learning Activities
Teacher’s Activity
A. Daily Routine
Student’s Activity
1. Prayer
Everyone, please stand for a prayer.
Kiel, kindly lead the prayer.
2. Greetings
Good afternoon, Grade 7!
Good afternoon, Ma’am!
3. Classroom Management
Before you sit, pick up all the pieces of trash
under your chairs and arrange your chairs
properly.
4. Checking of Attendance
Miss secretary, is there any absent today?
None, Ma’am.
5. Checking of Assignment
Do you have assignment?
None, Ma’am.
6. Review
Let’s have a short recap to our previous
topic. What did we tackle last meeting? Yes,
Erra.
Ma’am we discuss about problem solving
involving conversion of units.
Very good! What is the rule in converting
metric? Yes, Isaac.
To change from a larger unit to a smaller unit
move the decimal point in the given quantity
one place to the right for each smaller unit
until the decimal unit is reached.
Very good! How about converting smaller
unit to larger unit? Yes, Mikaila.
Move the decimal point in the given quantity
one place to the left for each larger unit until
the decimal unit is reached.
Very good! In English system what we will
do in order to eliminate the unit? Yes, Angel.
The unit we need to introduce, must appear in
the numerator and the unit we need to
eliminate, must appear in the denominator.
Very good! It seems that you all learn a lot to
our previous topic.
7. Motivation
Let's have a short activity.
Are you all familiar with the game The Boat
is Sinking?
Yes, Ma’am
Let's put a twist on it. All you need to do is to
group yourselves into the number that I will
flash but, before you’ll group yourselves, you
needed to add the two numbers first. The
sum will be the number you will group
yourselves into.
The three players who will reach the last
round will be the winners. Is everything
clear?
Yes, Ma’am.
Any questions?
None, Ma’am.
Are you ready?
Yes, Ma’am.
The boat is sinking group yourselves into
(the game will start)
The boat is sinking group yourselves into
The boat is sinking group yourselves into
The boat is sinking group yourselves into
The boat is sinking group yourselves into
Did you enjoy the activity?
Yes, Ma’am.
B. Developmental Activities
1. Presentation of Lesson
What do you think is the connection of the
activity you have done earlier to our topic?
Yes, Faith.
In our activity, we solve letter and number
which has an equivalent value. I think our
topic for today is about algebra.
Very good! Today we will talk about
algebraic expression.
Let’s define first what is algebraic
expression?
An algebraic expression is a combination of
variables and constants involving at least one
arithmetic operation.
Examples:
3x2 – x – 2
7x4 – 3x3 +
9x-3
Give me an example of algebraic expression.
Yes, Athena.
6x + 4
Very good! Give me another example. Yes,
Issac.
Very good! Give me another example. Yes,
5xy
Roliven.
Is everything clear?
Yes, Ma’am.
Algebra is a means of computing using non
numeric objects.
2x + 3y – 4z
In here 2, 3 and – 4 are the constants. From
does examples what is a constant? Yes, Kiel.
It refers to the number in the expression.
Very good! A constant is a symbol that
assumes one specific value. Quantities whose
values do not change are called quantities or
simply, constant.
Is everything clear?
Yes, Ma’am.
2x + 3y – 4z
In here x, y and z are the variables. From
does examples what is a variable? Yes,
Samantha.
It refers to the alphabet or letter in the
expression.
Very good! A variable is a symbol that
assumes many values. It is a letter used to
represent one or more numbers in an
expression, equation or inequality. A
quantity whose value change is called a
variable.
Is everything clear?
Yes, Ma’am.
2x + 3y – 4z
This whole expression is a polynomial. From
this example what is a polynomial? Yes,
Ralph.
Very good! A polynomial is an algebraic
expression involving only non-negative
integer power of one or more variables and
containing no variable in the denominator.
Examples:
7x + 3
x
5
It refers to the combination of variable and
constant involving at least one arithmetic
operation.
8x3 – 4xy + 16z
Yes, Ma’am.
Is everything clear?
Translation of mathematical phrase to
mathematical symbol.
I have here a matching type.
Match the column A in column B.
Mathematical Phrase
Column A
Mathematical Symbol
Column B
1. greater than
increase by
more than
added to
sum of
a. –
1. c
b. ×
2. a
c. +
3. b
2. less than
decreased by
smaller than
fewer than
difference
d.3x
4. h
e.÷
5. d
f.4x
6. e
g. =
7. g
3. multiplied
product of
times
h. 2x
4. double
5. triple
6. divided by
ratio of
quotient of
7. equals
Very good!
There are many ways to express addition,
subtraction, multiplication, or division of
algebraic expression.
Examples:
The sum of m and 8
m+8
The difference of 8 and m
8–m
English Phrase
10 added to c
10 subtracted from c
twice x
x divided into 10
Is everything clear?
Algebraic Translation
c + 10
c – 10
2x
10
x
Yes, Ma’am.
Examples:
3+4
The sum of 3 and 4 or 3 plus 4
8–3
8 minus 3 or 8 less 3
Algebraic
Translation
n+5
7–n
20 ÷ 5
8(4)
Is everything clear?
English Phrase
5 more than n or n increased by 5
n less than 7 or 7 decreased by n
The quotient of 20 and 5
8 times 4
Yes, Ma’am.
Try it on board!
1. 5 more than t
2. 1 000 less f
3. 10 times c
4. The ratio of 7 to a
t+5
1 000 – f
10c
7
a
Is everything clear?
Yes, Ma’am.
Any questions?
None, Ma’am.
I have here a puzzle
For checking:
Is everything clear?
Yes, Ma’am.
Any questions?
None, Ma’am.
Try it on board!
1. 2x – 3 = 3
Checking:
2. 4x + 3 = 12
Checking:
Is everything clear?
Yes, Ma’am.
Any questions?
None, Ma’am.
Classification of Algebraic Expressions
Exponent – a number at the upper right hand
corner of the variables, constant, or
expression indicates the number of time a
constant, variable, or expression is used.
Degree – the degree of a polynomial in one
variable is a highest exponent of the viable in
the term of the polynomial. If the term has
more than one variable, the degree is the sum
of the exponents of the variable.
Term – either a single number, a letter, or a
product of several numbers or letters.
1. Monomial – one term.
2. Binomial – two terms.
3. Trinomial – three terms.
4. Multinomial – more than three terms.
Examples: 2x, 3y, 4z
Examples: 3x + 4, 5x – 6, a + b
Examples: 3x + 4y – 5, 4a – 3b + 8, 7m2 –
2m + 9
Examples: 5x + 3y – 2z, 3m3 + 2m2 – 6m + 2
–b
Numerical coefficient – constant factor in a
monomial
Literal coefficient – the variable factor in a
monomial.
C. Application
Board work
Solve the following:
1. x + 2 = 3
2. y – 5 = 5
3. 2z = 10
4. 3a + 1 = 10
5. 25b = 50
x=1
y = 10
z=5
a=3
b=2
Is everything clear?
Yes, Ma’am.
Any questions?
None, Ma’am.
D. Generalization
Let’s sum up our lesson today.
What is a symbol that assumes one specific
value? Yes, Isaac.
constant
Very good! What is a symbol that assumes
many values? Yes, Mikaila.
variable
Very good! What is an algebraic expression
involving only non-negative integer power of
one or more variables and containing no
variable in the denominator? Yes, Zylo.
polynomial
Very good! And what are the types of
polynomial? Yes, Eduardo.
Monomial, binomial, trinomial, and
multinomial.
Very good! What is a variable, a constant or
a combination of variables and constants
involving at least one arithmetic operation?
Yes, Angel.
algebraic expression
Very good! It seems that you all learn a lot to
our topic for today.
IV. Evaluation
Get ¼ sheet of pad paper.
Complete the table.
Ex. 2m2
1. 3a
2. 4abc
3. 2x3
4. 11xy
5. 2x3 + 1
constant
2
variable
m
Ex. 2m2
1. 3a
2. 4abc
3. 2x3
4. 11xy
5. 2x3 + 1
Who got 10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 0
V. Assignment
For your assignment, have an advance study
on addition and subtraction of polynomials
answer the following in your notebook
Goodbye, Ma’am!
1. How to combine polynomials?
2. What format can be used in adding and
subtracting polynomials?
So that’s all for today.
Goodbye, Grade 7!
constant
2
3
4
2
11
2&1
variable
m
a
abc
x
xy
x
Prepared by:
MAUREEN S. TORINO
BSE 4 - Mathematics
Checked by:
DOTHY C. GUMAMELA, LPT
Cooperating Teacher
Reviewed by:
JANE A. MANARPIIS, M.A. Ed.
BSE Coordinator
Recommended by:
CHRISTEL M. BELARO, LPT
Officer-in-Charge SELSHS
Approved by:
ROSELYN A. YMANA, Ph. D.
Teacher Education Department, Chairperson