Republic of the Philippines
Department of Education
Caraga Region
SCHOOLS DIVISION OF AGUSAN DEL SUR
AGUSAN DEL SUR NATIONAL HIGH SCHOOL
Detailed Lesson
Plan in the
New Normal
Via Face to Face
School
Teacher
Teaching
Date and
Time
AGUSAN DEL SUR NATIONAL HIGH
SCHOOL
NATHANIEL LEONARD D.
VILLAMOR
March 10, 2025
1:45 PM – 3:15 PM; 7- Camachile
Grade
7
Level
Learning
MATHEMATICS
Area
Quarter 4
I. OBJECTIVES
A. Content
Standard
The learners should demonstrate an understanding of algebraic expressions, focusing on
how they are used in real-life problem-solving.
B. Performance
Standard
The learners should be able to apply their knowledge of algebraic expressions in solving
real-life mathematical problems.
C. Learning
Competencies/
Objectives
(Write the LC
code for each)
The learner…
 Solve problems involving algebraic expressions and formulas
D. Specific
Objectives
At the end of the session, the learners are expected to:
i.
ii.
iii.
II. CONTENT
Solve problems involving algebraic expressions and formulas;
Apply the steps in solving problems involving algebraic expressions and
formulas;
Participate actively in the discussion.
Solving Problems Involving Algebraic Expressions
III. LEARNING RESOURCES
A. References
1. Teacher’s
Resources
2. Learning
Resources
3. Materials
B. Other
Learning
Resources
C. Strategies
IV. PROCEDURES
Realistic Math _ Unit 2, pp. 124-145
Mathematics Learner’s Material 7 pp. 121-132
Whiteboard marker, Laptop, Power Point Presentation, Calculator (if necessary)
1.5 E's - Differentiated Instructions
2. Collaborative Learning
TEACHER’S ACTIVITY
3. Guided Discovery
4. Contextualization
STUDENT’S
ACTIVITY
A. Preliminary
Activity
1. Prayer
Before we begin, may I request everyone to stand for our
prayer.
(Student will lead the
prayer)
2. Greetings
Good afternoon, Grade 7- (Section)
Good afternoon, sir.
Good afternoon,
visitors.
3. Checking of attendance:
Welcome to our Perya Adventure!
I am Teacher Nat, your host for today!
(Players sit down)
We are honored to have players from this section joining us
today. Let’s take this moment to recognize and warmly
welcome our esteemed players.
First, let’s give big round of applause to our team
(The Champs).
(Player’s stand-up)
w/ background music
https://www.youtube.com/watch?v=wTE41GEaLfQ&list=P
LFxECIB5e-Oup-jJLfbzgpcagVtOojUSN
Up next, let’s cheer for the unstoppable force
(The Conquerors).
(Player’s stand-up)
w/ background music
https://www.youtube.com/watch?v=HbElKpm9c3g&list=PL
FxECIB5e-Oup-jJLfbzgpcagVtOojUSN&index=2
Of course, we can’t forget our strategic masterminds
(The Rulers).
(Player’s stand-up)
w/ background music
https://www.youtube.com/watch?v=LIBWfE36CMc&list=P
LFxECIB5e-Oup-jJLfbzgpcagVtOojUSN&index=4
Now, get ready for a burst of energy as we welcome
(The Maverick).
(Player’s stand-up)
w/ background music
https://www.youtube.com/watch?v=GHagtTiZWlU&list=PL
FxECIB5e-Oup-jJLfbzgpcagVtOojUSN&index=6
And last, but absolutely not least—make way for (The
Dominators).
(Player’s stand-up)
w/ background music
https://www.youtube.com/watch?v=_1dImviPRwY&list=PL
FxECIB5e-Oup-jJLfbzgpcagVtOojUSN&index=11
Let’s give a massive cheer to all of incredible teams!
(Students Clap their
hands)
4. Setting of Classroom Standards:
Throughout our activities, I will be keeping track of your
performances.
Here’s our:
And if your group received a MINUS ticket means:
And here’s our:
Each group will have the opportunity to earn a Golden
ticket which represent your points by:
At the end of our adventure, the teams with the highest score
will receive a mystery prize.
Is that clear, everyone?
Yes, Sir.
B. Reviewing
previous lesson
That’s good to hear. But before we step into our exciting
game, let’s take a quick stop at the 'Review Booth' to check
if you still remember our previous discussion!"
In this perya, we’ll spin the “Wheel of Numbers” to
randomly select the number of the player who will answer
the question.
(Spins the Wheel)
Okay, please stand-up number (Students name).
What was our previous discussion all about?
Our previous discussion
was Evaluating
Algebraic Expressions.
Very good, (student’s name)
Are there any clarifications and questions regarding to
previous lesson?
None, Sir
So, are you ready to step in and claim your victory?
Yes, Sir
🎡 Let the game begin!
C. Establishing a
purpose for the
lesson
ENGAGE
(Drum roll)
GROUP ACTIVITY: Wheel of Fortune
(Students respond
enthusiastically.)
💡 Here’s How to Play:
🎠 Each Teams can stand- up and form a circle.
🎟️Each Teams have 10 seconds to evaluate the expression.
Again!
🎯 After the timer ends, teams will raise their answers at the
same time and cannot change or modify their answers after
raising them. Again!
🎠 Teams with the correct answer earns a Golden Ticket,
which represents a point. Teams with incorrect answers
receive no points.
Is that clear?
So, are you ready?
(Student response)
Let’s get started!
Problems:
Answers:
1. Evaluate 3n at n = 11
2. Evaluate c – 9 at c = 16
1. 33
2. 7
3. Reflexive Property
3. If 3b = 3b, Identify the Properties of Equality used.
4. If x + 7 = 15, Identify the Properties of Equality used.
4. Subtraction Property
5. x = 91
5. x – 34 = 57, solve for x.
Give a round of applause to the winner!
D. Presenting
examples
instances of the
new lesson
(Students Clap their
hands)
Here’s your prize!
EXPLORE
Now, who among you often comes late to the flag ceremony
every Monday?
(Student response)
Now, have you ever noticed that those who arrive late seem
to have their own "mini" flag ceremony at the ground 1?
Why do you think that happens?
(Student response)
Why is Attending the Flag Ceremony Important?
(Student response)
The flag ceremony is not just a routine—it’s a moment
where we exercise discipline, responsibility, and respect. It
also reminds us of our core values:
✅ Makadiyos – Respect for God and faith
✅ Makatao – Respect and kindness towards others
✅ Makabansa – Love for our country
✅ Makakalikasan – Care for the environment
Even teachers make mistakes too! One Monday, I was late.
Just like you my students, being late meant missing an
important part of the day. But do you think one mistake
defines a person forever? No! I realized the importance of
being punctual and took steps to become responsible again.
What did I do?
I started waking up earlier every Monday to ensure I will
never miss the flag ceremony again. This small habit helped
me become a more responsible teacher. That is how I solved
my problem of being late. How about you? Were you able to
find a solution so that you will be able to attend the flag
ceremony regularly?
Now let’s try solving a word problem.
Problem:
If it takes 25 minutes from Prosperidad to Agusan del Sur
National High School. In what time shall Teacher Nat started
to travel so that he can attend the flag ceremony at 7:00 AM?
Yes, Sir!
1. What is the given in the problem?
Answer:
Step 1.
25 mins. – Prosperidad
to ASNHS.
7:00 AM- need to be at
school
2. What is asked?
Step 2. The number of
minutes.
Let x = time to leave in
Prosperidad
3. How will you form the equation?
Step 3. x + 25 = 7:00
AM
4. Who will volunteer to show the solution?
Step 4.
x+ 25= 7:00 AM
Subtraction Property
x + 25 – 25 = 7:00 – 25
x = 6: 35 AM
5. What property of equality is applied to get the value of x
or the missing number?
Step 5. x = 6:35 AM
Teacher Nat leaves in
Prosperidad.
6. Checking.
Step 6. Check
x+25 = 7:00 AM
6:35 + 25 = 7:00 AM
7:00 = 7:00 AM True
Give yourselves a round of applause!
But before we proceed to our discussion, what do you think
our topic for today?
(Students Clap their
hands)
Solving Problems
Involving Algebraic
Expressions
Yes, (Student name)
"Very good, (student name)!
i. Solve problems
involving algebraic
expressions and
formulas;
but before anything else, please read our task.
ii. Apply the steps in
solving problems
involving algebraic
expressions and
formulas;
iii. Participate actively
in the discussion.
E. Discussing the
concepts and
practicing new
skills
EXPLAIN
Let us now discuss the concept of Solving Problems
Involving Algebraic Expressions.
Solving equations becomes meaningless if it cannot be
applied to our daily life situations.
Let us discuss and solve word problems following the sixsteps method.
Directions:
1. Each team will be given a problem to be solved.
2. Be sure that each member will cooperate with the task.
3. Follow the six- steps in solving word problem.
4. Each team will be given 2 minutes to discuss. Those team
who can finish early will present in front.
5. Prizes will be given to the presenter with a correct answer.
Is that clear?
Time starts now!
Example 1:
Problem:
Mark Vincent spent half of his allowance on his snack. Then
he’s classmate borrowed 20 pesos. If he arrived home with
50 pesos, how much did he have before he brought his
snack.
Yes, sir.
TEAM THE
CHAMPS
Step 1. Read and
understand the
problem
How much did he have
before he brought his
snack?
Step 2. Represent the
unknown.
Let x = allowance of
Mark Vincent.
Step 3. Write an
equation.
𝑥
− 20 = 50
2
Step 4. Solve the
equation.
- Apply Addition
Property.
𝑥
− 20 + 20 = 50
2
+ 20
𝑥
= 70
2
𝑥
(2) = 70(2)
2
2𝑥
= 140
2
Step 5. State the
answer.
x = 140 Allowance of
Mark Vincent
Step 6. Check.
140
− 20 = 50
2
70 –
20 = 50
50
= 50 True
TEAM THE
CONQUERORS
Example 2:
Problem:
The total amount Xander spends on lunch is thrice a number.
This is equal to 30 pesos, which represents the total amount
of money he brings. Solve for x and determine the amount
he spend for lunch.
Step 1. Decide what you
are being asked to find.
Step 2. We are asked to
find a number, so we
write:
Let x = amount of
Xander spends.
Step 3. 2x = 30
Step 4.
2x = 30 Division
Property
2𝑥
30
=
2
2
Step 5. x = 15 is the
amount
Step 6. Checking.
2x = 30
2 (15) = 30
30 = 30 True
THE TEAM RULERS
Example 3:
Problem:
Eight years from now, Angelle’s age will be twice her age 5
years ago. How old is Angelle now?
Step 1. How old is
Angelle now?
Step 2. Let x = current
age
Step 3. x + 8 = 2 (x – 5)
Step 4.
x + 8 = 2 (x – 5)
x + 8 = 2x – 10
x + 8 + 10 = 2x – 10 +
10
x + 18 = 2x
x – x + 18 = 2x – x
Step 5. 18 = x is the
Angelle now.
Step 6. Checking.
Example 4:
Problem:
Ashlie Mae gives ₱15 to Aubrey Jane. This amount is added
to ₱4 times a certain number, representing her remaining
money. The total amount they want to buy a set of make-up
that costs ₱171. Find the unknown number.
THE TEAM
MAVERICK
Step 1. Find the
unknown?
Step 2. Let x =
unknown number
Step 3. 15 + 4x = 171
Step 4.
15 + 4x = 171
15 + (-15) + 4x = 171 +
(-15)
4x = 156
4𝑥
156
=
4
4
Step 5. x = 39 is the
remaining money of
Aubrey Jane.
Step 6. Checking.
THE TEAM
DOMINATORS
Example 5:
Problem:
Randy pays fifteen pesos less than twice a number for his
school supplies. The total amount he pays is equal to onehundred five pesos, which represents the amount Arnel Jr.
also paid. Solve for x and determine how much Randy paid.
Step 1. Find the
unknown number.
Step 2. Let x = how
much randy paid.
Step 3. 2x – 15 = 105
Step 4.
2x – 15 = 105
2x – 15 + 15 = 105 + 15
2x = 120
2𝑥
120
=
2
2
Step 5. 60 = x is the
amount of randy paid
for his school supplies.
Step 6. Checking.
F. Developing
mastery (leads
to formative
assessment)
ELABORATE
The Champs.
Did you find difficulty in solving?
(Student response)
The Conquerors.
Did you find difficulty in solving?
(Student response)
The Rulers.
Did you find difficulty in solving?
(Student response)
The Maverick
Did you find difficulty in solving?
(Student response)
The Dominators
Did you find difficulty in solving?
G. Finding
practical
applications of
concepts and
skills in daily
living
H. Making
Generalization
s and
abstractions
about the
(Student response)
From our adventure today, let's take a moment to reflect:
1. What important lessons have you learned from our activity?
(Student response)
lesson/
Valuing
Yes, very good (student name). Today, we discovered how to
turn real-life situations into algebraic equations and solve for
unknown values step by step. We also saw that algebra is not
just about numbers—it helps us analyze problems.
2. Why do we always use x as the unknown? Why not y?
(Student response)
We often use x because it has been a tradition in mathematics
for centuries. A famous mathematician, René Descartes,
made it popular, and since then, it has become the go-to
symbol for unknowns.
But don’t worry—we can use any letter as a variable! In
fact, when we deal with more than one unknown, we also use
y, z, or even letters like a and b. It’s just that x is the most
commonly used, probably because it’s simple and familiar.
Is there any questions or clarifications?
Before we proceed on our assessment, be reminded of the
steps to be followed in solving problem. Can you enumerate
Step 1. Read and
what are those?
Understand the
Problem.
Step 2. Represent the
Unknown.
Step 3. Write Equation.
Step 4. Solve the
Equation.
Step 5. The answer.
Step 6. Checking.
I.
Evaluating
EVALUATE
learning/Addition
al Activities for
Assessment:
Application or
Remediation
Direction: Answer the given problem within 3 minutes.
1. Christian Jade and her friend Juanna decided to share the
cost of a class project. Christian Jade contributed twice a
certain number, while Juanna paid the rest. If the total cost
of their project was ₱120, how much did Christian Jade pay
in total?
Let us check your output. Who will volunteer to answer on
the board? Awards will be waiting.
Answer.
Step 1. how much did
Christian Jade pay in
total?
Step 2. Let x = total
amount paid by
Christian.
Step 3. 2x = 120
Step 4.
2𝑥
120
=
2
2
Step 5. x = 60
Step 6. Checking
J. Additional
Activities for
application or
remediation
Do you have any clarifications or questions about our topic
today?
If none. As your assignment I want you to study in advance
for our next topic.
If there are no further questions, see you when I see you.
Good bye class.
V.
REMARKS
VI.
REFLECTION
A. No. of learners who
earned 80% in the
evaluation
B. No. of learners who
require additional
activities for remediation
C. Did the remedial
lessons work? No. of
learners who have caught
up 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 and supervisor
help me solve?
G. What innovation or
localized I used/discover
which I wish to share
with other teachers?
Prepared by:
NATHANIEL LEONARD D. VILLAMOR
Practice Teacher
Observed by:
ESTRELLA A. TABUGON
Cooperating Teacher, MT-1
Goodbye and thank you
Teacher.