School: TELABASTAGAN INTEGRATED Grade Level: 11

SCHOOL
Teacher: ARRIS G.SULIT Learning Area: General Mathematics
Quarter: Observation: 1 2 3 4

Observation Date: March 12, 2021

Semi-Detailed Lesson Plan in GENERAL MATHEMATICS

(Scheduled Classroom Observation)

I.OBJECTIVES(Layunin)
A. Content Standard The learner demonstrates understanding of key concepts of rational
(PamantayangPangnilalaman) functions.
B. Performance Standard The learner is able to accurately formulate and solve real-life problems
(PamantayansaPagganap) involving rational functions

C. Learning Competencies The learner

(PamantayansaPagkatuto) 1. represents real-life situations using one-to one function. (M11GM-Id-
1)
2. determines the inverse of a one-to-one function. (M11GM-Id-2)
3. represents an inverse function through its: (a) table of values, and (b)
graph. (M11GM-Id-3)
4. solves problems involving inverse functions. (M11GM-Ie-2)

II.CONTENT(Nilalaman)  One-to-one Function

 Inverse Function

III.LEARNING
RESOURCES(KagamitangPanturo)
A. References(Sanggunian)
1. Teacher’s Guide pages
2. Learner’s Materials pages General Mathematics Learner’s Material (DepEd, First Edition, 2016)
3. Textbook pages Statistics and Probability for Senior High School, pages 28-34

4. Additional materials from Learning Zoom Meeting, Youtube, Slideshare, Math is Fun
Resource (LR) portal Goteachmath.co.uk
https://link.quipper.com/en/organizations/547fe04fd11ff00002001baa/da
shboard
B. Other Learning Resources Powerpoint Presentation, Randomizer, digital pen, digital whiteboard,
(Iba pang KagamitangPnturo) Worksheets,

IV.PROCEDURES(Pamamaraan)
A. Reviewing previous lesson or (indicator 5; indicator 2 – literacy; indicator 1 – within; indicator 9 –
presenting the new lesson eliciting prior knowledge; indicator 4 – hands-on activities; indicator 3 –
(Balik-aralsanakaraangaralin HOTS ; indicator 6 – diversity; )
at/opagsisimulangbagongaralin) 1. Routinary activities (Checking of Attendance).
Reading the their names in Zoom chat box and say hello and to
inquire about their condition or the health of a student.
2. Teacher will post the powerpoint of the do and don’ts of Zoom
classroom discussion using powerpoint presentation.
 3. A review on previous lesson will be given to the pupils:
The teacher will ask:
What are the lessons discussed last week?
(Teacher will randomly pick students to answer the question using
randomizer) -indicator 9 (ICT)
The teacher will share the screen of the Powerpoint of last week’s
lesson.
Student will be praised if the answer is correct and corrected if the
answer is incorrect- indicator 5(positive feedback)

What is a rational function? indicator 3 (HOTS).

(Teacher will randomly pick students to answer the question using
randomizer) -indicator 9 (ICT)

The teacher will post the powerpoint of the meaning and the general
form of the rational function..
Students will read the formula.- indicator 2 (literacy)
Teacher will praise the students if is the answer is correct and give
another chance if the answer is incorrect. –indicator 5 (positive feedback)
Teacher will use powerpoint game to test the student’s familiarity with
rational function.

Since you are now familiar with our lesson we can now move on to our
next lesson.
(indicator 1 –knowledge of content within- indicator 2 – literacy ; indicator 3 –
B. Establishing a purpose for the HOTS; indicator 8; indicator 9(ICT )
lesson Teacher will show different pictures using powerpoint presentation.
(Paghahabisalayuninngaralin) Students will gues the word/phrase emphasize by of each pictures.-
 indicator 1 (English integration).

Student’s answer will be:

ONE ON ONE

Student’s answer will be:

INVERSE
Teacher will praise the students if is the answer is correct and give
another chance if the answer is incorrect.
Today we will going to study both one to one function and Inverse
function and their relationship to each other.
Teacher will state the different objectives for today’s lesson.
1. represents real-life situations using one-to one function. (M11GM-Id-
1)
2. determines the inverse of a one-to-one function. (M11GM-Id-2)
( indicator 5; indicator 1 – knowledge of content; indicator 2-literacy; indicator 8;
C. Presenting examples/instances indicator 1 (knowledge of content within.
of the new lesson Teacher will discuss One to one Function in relation to real life situation.
(Pag-
uugnayngmgahalimbawasabagong
aralin)
 Teacher will post powerpoint presentation to test understanding of
concept of One to One function.

Student will be praised if the answer is correct and corrected if the

answer is incorrect- indicator 5(positive feedback)

Student will be praised if the answer is correct and corrected if the

answer is incorrect- indicator 5(positive feedback).

( indicator 4 –Hands –on; indicator 3 – HOTS; indicator 1 – within content)

D. Discussing new concepts and (hands – on Activities) indicator 4
practicing new skills #1 Teacher will discuss now discuss Inverse of a Function using powerpoint
(Pagtalakayngbagongkonsepto at presentation and digital pen in solving inverse function.
paglalahadngbagongkasanayan
#1)
 What is the important thing to know in finding the inverse of a function?
(indicator 3 – HOTS)
Student’s answer will be:
The most important thing to know in finding the inverse of a function is to
make sure that the function is one to one function?
Teacher will ask why(follow up question).
Students will answer will be:
Because only one to one function has an inverse.
Student will be praised if the answer is correct and corrected if the
answer is incorrect indicator 5(positive feedback)
( indicator 1 – content within ; indicator 3 – HOTS :indicator 9-
E. Developing mastery(Leads to ICT)indicator 10-formative assessment)
Formative assessment) Quiz.
(Paglinangsakabihasnan) The teacher will give individual worksheet.
Teacher will give 10 minutes to answer the worksheet. (synchronous)
Individual Worksheets on One on one function and Inverse.
A. Identify which of the following if it is not one or not. Write (✓) if it
is a one-to-one function or (x) if not.
 __________ 1. A = {(2, 1), (3, 1), (4, 1)}
__________ 2.
x -3 -4 -5 -6 -7
y 1 2 4 1 2
__________ 3.

__________ 4.The students and their school IDs

__________ 5. The cars in Metro Manila and their license
plate numbers
B. Find the inverse of the following.
1. f ( x )=4 x−5
x +2
2. f ( x )=
5

(indicator 1, 4, 5, 6),
F. Finding practical applications of Recitation
concepts and skills in daily living Teacher will randomly pick students to answer the question using
(Paglalapatngaralinsa pang-araw- randomizer) -indicator 9 (ICT)
arawnabuhay)
Teacher will ask students about the practical application of Inverse
Function in real life.
Students will give their ideas about the importance of inverse function.
Teacher will share the importance of Inverse Function.
Importance of Inverse function in Real Life?

Inverse procedures are essential to solving equations

because they allow mathematical operations to be reversed (e.g.
logarithms, the inverses of exponential functions, are used to solve
exponential equations). Whenever a mathematical procedure is
introduced, one of the most important questions is how to invert it.

G. Making generalizations and These might help you to remember!

abstractions about the lesson
(Paglalahatngaralin)  One to one function does not have any y values repeated.
 Only one to one functions can have inverse functions.
 Inverse function is a function that performs the opposite
operation on x (the domain).
 Steps in finding the Inverse of a function can be easily
remember with the acronym CSSC.
“ChangeSwitchSolveChange”.

(Indicator 8)
H. Evaluating learning  Those with internet connection will submit their output online.
(Pagtatayangaralin)  Those students who don’t have internet connection will have
their copy of worksheets inside the school.
One to One Function and Inverse Function
WORKSHEETS
NAME: _______________________
DATE:_______________
A. Write at least 5 real-life examples for one-to-one function. (Note:
 No Mathematical phrase/s will be counted to your score.)

1.
2.
3.
4.
5.

B. Solve for the inverse function.

1
1. f(x) = x+4
2
3
2. f(x) =
x−4
3. f(x) = 2x – 5
4. f(x) = 5 – 9x
x+ 3
5. f(x) =
x−3
(indicator 1, 9, 6)
I. Additional activities for 1. For students who get a failing score will be given a additional activity
application or remediation like manual application of finding the inverse of a function.
(Karagdaganggawainparasatakdan
garalin at remediation)

Prepared by: (Inihanda ni) Noted: (BinigyanPansinni)

ARRIS G. SULIT RACQUEL C. GARCIA

Name and Signature of Teacher Name and Signature of Observer
(Pangalan at LagdangGuro) (Pangalan at LagdangNagmasid)

Reference: DepEd Order No. 42, s. 2016 (Policy Guidelines on Daily Lesson Preparation for the K to 12 Basic Educ. Program)