Republic of the Philippines

Department of Education
Region IX, Zamboanga Peninsula
Division of Zamboanga Sibugay
Pangi, Ipil, Zamboanga Sibugay

SAN FERNANDINO NATIONAL HIGH SCHOOL

A Detailed Lesson Plan in General Mathematics 11

First Quarter
S.Y. 2021 – 2022
November
I. OBJECTIVES

Content Standards: The learner demonstrates understanding of key concepts of functions.

Performance Standards: The learner is able to accurately construct mathematical models to represent real-life
situations using functions.
Learning Competency: The learner evaluates a function. (M11GM-Ia-2)

At the end of the session, the students must be able to:

a. evaluate function;
b. solve problem involving function;
c. value the concepts of evaluating function in real life.
II. SUBJECT MATTER
Topic: Evaluating Function
Grade Level: Grade 11
References: General Mathematics 11 ADM (Quarter I), MELCS, and Internet
Materials: Chalk and/or board, Laptop, PowerPoint Presentation, Activity Sheets, Cellphones
Values Integration:
 Cooperation and cautiousness in solving for the answers
 Listening Attentively

III. PROCEDURE

Teacher’s Activity Students’ Activity

A. Preliminary Activities

Prayer
Requesting everybody to please stand up for a prayer. Kirk, please lead the Let us put ourselves in the
prayer. presence of God…

Greetings
Good morning, class!
Before you take your seat, look around you, if you see trash, please pick it up and Good morning, sir!
take a look at your chair if they are aligned. Then you can take your seat now. (The students will pick up pieces
of paper and arrange the chair
Checking of attendance and take their seats)
May have the attention of our classroom secretary to check the attendance of the
class. Jane, please list down the name who are absent for today’s session and
submit it to me later.
For those who are absent for this session, please tell them to check our official Yes, sir.
group chat time to time to keep updated cause I will be sending there the video
presentation of our topic today and for those who can’t access to the internet please
tell them to see me here in the school so that I can provide them the ADM Module.
Is that clear class? Yes, sir.

Presenting class rules

Let us be reminded of our class rules in new normal.

 Raise your hand to speak.

 Be attentive to the class. Participate to all
actvities.
 Be quiet when someone is talking.
 Follow direction. Listen to instruction.
 Be honest.
Review
Are you in familiar of game Word Search?
It is a game that you need to locate and encircle the words you find in the
grid. Words may appear straight across, back word straight across, up and down,
down and up, and diagonally. The students will find the
following hidden words:
S P O S R E B M U N  Evaluate
U O R T S I U C H O  Substitute
B G L I R L A E R I  Function
 Solve
S D E V I Q T L P T
 Value
T L U B E A U J S C  Numbers
I M L G U K N L Y N  Variable
T R S L T U V W X U
U Z A C D E F G Y F
T V A R I A B L E H
E K O P J E U L A V
The hidden words are:
Evaluate Substitute Function Variable
Value Numbers Solve

After you find the word, use the word you find and make a sentence out of it.
(Integration to English) The students will make a
sentence of the word they found
in the gird.

B. Motivation

Now, let’s have an activity called “Function Machine”. The class will be divided
into three groups. Each group will be given a needed material (sheet of paper,
ballpen.)
Listen to the mechanics.
1. I’ll be presenting the function and set of input to be process in the machine.
2. Each member of the group will be to find out the output in the given
machine.
3. The group that will have the highest score will be the winner.

Questions:
1. If 7 goes into the machine, what number comes out?
2. If -3 goes into the machine, what number comes out? 1. 2(7) + 5 = 19
3. If 5 goes into the machine, what number comes out? 2. 2(-3) + 5 = -1
4. If -1 goes into the machine, what number comes out? 3. 2(5) + 5 = 15
5. If 2 goes into the machine, what number comes out? 4. 2(-1) + 5 = 2
5. 2(2) + 5 = 9
For those who got correct tap your shoulder and say to yourself, you did great
and for those who got wrong tap your shoulder and say, do much better next time.

So much for that.

C. Lesson Proper
Based from the activity, or based from the function machine. What do have (One of the student’s volunteers
you observe? to answer)

Very good. The activity earlier has something to do with our topic for today’s (One of the student’s volunteers
discussion. Then who can guess, what is our topic for today? to answer)
 Our topic for today’s discussion is
Evaluating Function
(Certain student will read the
And here are the objectives we need to attain after the discussion. Who can read objectives).
the objectives?
a. evaluate function;
b. solve problem involving function;
c. value the concepts of evaluating function in real life.

Evaluating Function
When we say evaluating function, it is the process of determining the value of
the function at the number assigned to a given variable. just like in evaluating
algebraic expressions, you just need to follow the following steps:
1. Replace each letter in the expression with the assigned value.
First, replace each letter in the expression with the value that is assign to it.
To make your calculations clear and accurate, enclose the number’s you’re
substituting in parentheses. The value that is given to a variable stays the
same throughout the entire problem, even if the letter occurs more than in
the expression.
2. Perform the operations in the expression using the correct order of
operations.
Once you’ve substituted the value for the letter, do the operations to find
the value of the expression. Don’t forget to use the correct order of
operations. The what we so called GEMDAS/PEMDAS from left to right.
Parentheses
Exponent
Multiplication
Division
Addition
Subtraction

 Evaluate function 2x2 – 6x + 26, if x=3.

Let’s try another one.

Is it clear class? Certain student will go to the

Alright, any volunteer to solve this on the board? board and solve the function.
 Renting a canoe cost $10 plus $28 per day, which is expressed as f(x) = 28x + 10
f (x)=28 x+10. What is the total renting cost of canoe in 3 days? f (3) = 28(3) + 10
f(3) = 84 + 10
f(3) = 94
Therefore, the total renting cost
of canoe in 3 days is $94.

You can also use this process in getting your Body Mass Index (BMI). And
here is the formula on getting your BMI. (Integration to MAPEH(Health))

Replace the value of weight representing

the W and your height representing the
H. then you can find your BMI. If you
are normal, malnourished or obese.
 None sir.
Excellent, do you have any question or clarification?

If there is none. Let’s apply the concept you’ve learned in real life situation.

D. Application

In real-world, functions are mathematical representations of many input-output

situations. Functions are widely used in disciplines such as biology, chemistry,
economics, statistics and engineering. (Integration to Science and Ar.Pan)
Let’s now have a group activity to measure your level of understanding on our
topic. This is a group activity but each member has a different task to be
accomplish. But, before we will proceed to our group activity, let me first present
to you the rubric to be followed.

RUBRIC
CATEGORY 5 Points 4 Points 3 Points
The solution is The solution and
The solution and the
Accuracy wrong but the the answer are
answer are correct.
answer is correct. wrong.
The presenter
Mastery of the The presenter The presenter does
refused to
Presenter explains well. not explain well.
explain.
Finish after 8
Finish before the 8 Finish 10 minutes
Promptness minutes but before
minutes. beyond.
10 minutes.
All members of
One of the the group do not
All members are
members does not perform the task
wearing facemask
perform the task given and does
and observe social
Behavior given while not worn
distancing and
wearing facemask facemask and
performing the task
and observing does not observe
given.
social distancing. the social
distancing.

There’s no need for you to stand because I will distribute to you the task you need
to accomplish. Remember you only have 8 minutes to accomplish the task. Write
your answer on the manila paper that I give to you.

Task 1. Given: f (x)=10 x+28 and x=12

The math club goes to an amusement park. Student tickets cost $10 each. Solution:
Teachers go for free. The bus costs $28. This is expressed as f (x)=10 x+28. How f (12) = 10(12) + 28
much is the cost of 12 students going in the amusement park? f (12) = 120 + 28
f (12) = 148
Therefore, the cost of 12 students
going in the amusement park is
$148.

Task 2. Given: P(b)= 25b + 7 and b=6

For Daniela’s bicycle business, the net profit (in $) for renting b bicycle is Solution:
P(b)= 25b + 7. If Daniela’s rents 6 bicycle, what is her profit? P(6) = 25(6) + 7
P(6) = 150 + 7
P(6) = 157
Therefore, the profit of Daniela
after renting 6 bicycle is $157.
 Given: f(x)= x2–3x+10, if x = -3.
Task 3. f(3) = x2 – 3x + 10
Evaluate the function f(x) = x2 – 3x + 5 if x = -3. f(-3) = (-3)2 – 3(-3) + 10
f(3) = 9 + 9 + 10
f(3) = 28
Given: f(x)= x2–3x+10 and f(3) = 28.

(After the activity, the teacher will ask a volunteer on each group to present their
output. The teacher will rate the activity by group using the rubric)

We can evaluate function by

E. Generalization
replacing the variable of the
To sum our lesson for today, how can we evaluate function?
assigned value and perform the
necessary operations.

Cooperation and listening

attentively sir.
Exactly, what values have you develop during the discussion and group
activity?

None sir.
Correct, is there any question or clarification about our topic?

If there is none, prepare for a quiz.

F. Evaluation
Direction: Read each item carefully. Encircle the letter of the correct answer.

Prepared by: Checked by: Noted by:

JANETTE O. ENCARNACION ARLENE B. OLMEDO DANILO G. GAYAT

Subject Teacher Head Teacher I Principal I