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M11GM Ia 1

1. The document is a detailed lesson plan for a Grade 11 general mathematics class about representing real-life situations using functions, including piecewise functions. 2. The lesson plan outlines learning competencies, key concepts, objectives, content, learning resources, and procedures including introductory, application, and assessment activities. 3. The introductory activity uses a "magic box" example to discuss real-life situations that can be represented by functions, such as an ATM machine. The application activity asks students to determine outputs for given functions and input values.

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Neil Lumongsod
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287 views2 pages

M11GM Ia 1

1. The document is a detailed lesson plan for a Grade 11 general mathematics class about representing real-life situations using functions, including piecewise functions. 2. The lesson plan outlines learning competencies, key concepts, objectives, content, learning resources, and procedures including introductory, application, and assessment activities. 3. The introductory activity uses a "magic box" example to discuss real-life situations that can be represented by functions, such as an ATM machine. The application activity asks students to determine outputs for given functions and input values.

Uploaded by

Neil Lumongsod
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
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Download as DOCX, PDF, TXT or read online on Scribd
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Republic of the Philippines

Department of Education
REGION VII, CENTRAL VISAYAS
Schools Division Office of CITY OF BOGO
BARTOLOME C. PIAÑAR MEMORIAL NATIONAL HIGH SCHOOL
Sambag, Dakit, Bogo City, Cebu

DETAILED LESSON PLAN


DLP No: 1 Learning Area: General Mathematics Grade Level: 11 Quarter: Duration: 60 _______
1 mins __, 2023
Represents real – life situations using functions, including
Learning Competency Code: M11GM-Ia-1
piece – wise functions.
A function relates an input to an output.
Key It is like a machine that has an input and an output. The domain is the input while the
Concepts/Understanding range is the output. The domain is an independent value while the range depends
to be Developed upon the value of the domain. The machine is the function.
Piecewise functions are functions in pieces.
Objectives At the end of the lesson, 75% of the students will be able to:
Knowledge Define function;
Skills Site real-life situations where function is applied;
Attitude Work harmoniously with the group; and
Values Maka – tao
Content Functions, Relations, Piece – wise function
Learning Resources LM’s, TG’s, chalk and board
Procedures
Introductory Activity Motivation.
(7 mins) Magic Box
In each group, site at least one real-life situation the same with the magic box where an
Activity (3 mins)
input gives an output out from a certain rule. (ex. Automatic Tubig Machine - ATM)
In your example, what is the product?
(cold or hot water)
How did you come up with the output?
(by inserting one - peso coin, the water will come out)
Was there an instance where the output cannot be determined?
Analysis ( 5 mins)
(yes, if not one - peso coin is inserted, like 25 centavo coin)
Are there instances in your life where functions are applicable? How?
(yes, by studying hard i got good grades)
Are there instances where multiple functions are applicable? How/Where?
(yes, Jeepney fare, the farther the destination the higher the fare)
What determines the output of your input?
(it depends on the input)
Abstraction (15 mins)
Does the output affect the input? Vice-versa?
(no, only the input affects the output)
Application (5 mins) What do you think is the output in the following input following these rules?
1. 3x+8 ; choose five values of x and determine the output
2. 4x-2 ; choose five values of x and determine the output
Assessment Define function , domain, range and piece – wise function in your own words by group in 5
(20 mins) mins.
Agreement Give me the output
1. f(x)= 2x-4 x=3
2. f(x)= 2x-4 x=-3
Remarks
Reflection

Name: CHRISTINE YNOT LUMONGSOD School: Bartolome C. Piañar Memorial NHS

Position/Designation: SHS -T2 Division: City of Bogo

Contact Number: 09175077465 Email Address: christine.ynot001@deped.gov.ph

Bibliography
 pp. 2 – 21, General Mathematics, Orlando A. Oronce
 pp. 1 - 10 , General Mathematics (TG), Deped

Appendices
 Magic Box
Function machines Activity, pp. 3 – 4, General Mathematics (TG)
 Application
1. If x = 1,2,3,4,5
Then the output are, 11, 14, 17, 20, 23
2. If x = 1,2,3,4,5
Then the output are, 2, 6, 10, 14, 18
 Assessment
1. Function – a relation where each element in the domain (input) is related to only one value in the range
(output) by some rule.
2. Domain – the set of all possible values that the variable x can take.
3. Range – the set of all possible values that the variable x can take.
4. Piece – wise function – function that are in pieces

 Agreement
1. f(x) = 2x – 4
f(3) = 2(3) – 4
f(3) = 6 – 4
f(3) = 2

2. f(x) = 2x – 4
f(-3) = 2(-3) – 4
f(-3) = -6 – 4
f(-3) = - 10

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