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Lesson Plan, Class XI (Ch-2) | Relations & Functions


E- LESSON PLAN   SUBJECT MATHEMATICS    CLASS 10+1

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Board – CBSE

CLASS –XI

SUBJECT- MATHEMATICS

CHAPTER  : 2 : Relation and Functions


TOPIC:- Chapter  2 : Relation and Functions

DURATION:-  

This chapter is divided into 7 modules and is completed in 20 class meetings.

PRE- REQUISITE KNOWLEDGE:-

Set theory chapter 1 class 11   math-lesson-plan-class-xi-chapter-1

TEACHING AIDS:- 

Green Board, Chalk,  Duster, Charts, smart board, projector, laptop etc.

METHODOLOGY:-   Lecture method  and Demonstration

OBJECTIVES:-
  • Ordered pair, Cartesian product of sets. Number of elements in the Cartesian product of two sets.
  • Cartesian product of the sets of reals with itself (up to R x R x R )
  • Definition of relation, pictorial diagrams, domain, co-domain and range of a relation.
  • Function as a special type of relation, pictorial representation of a function, domain, co-domain and range of a function.
  • Real valued functions, their domain and range.
  • Constant, identity, polynomial, rational, modulus, signum, exponential, logarithmic and greatest integer functions with their graphs.
  • Sum, difference, product and quotient of functions. 

PROCEDURE :-

Start the session by asking simple questions of set theory and their method of representations.  Now introduce the concept of relation and functions step by step as follows.


 

Topic

 [For complete explanation  click here] 

1

Start the session with the brief description of set theory. Now explain the method of doing Cartesian product of two sets by taking some examples.

2

Now explain the concept of ordered pair to the students and explain the relationship between ordered pair and the elements of Cartesian products.

3

Now give the definition of relation to the students with its pictorial diagrams and explain the domain, co-domain and range of the relations.

4

Now give the definition of functions with its pictorial diagrams and explain the domain, co-domain and range of the functions.

5

Concept of real valued functions with their domain and range. Simple concept of their inverse.

6

Definitions  of  Constant, identity, polynomial, rational, modulus, signum, exponential, logarithmic and greatest   integer functions with their graphs.

7

Help the students in finding Sum, difference, product and quotient of functions.


EXPECTED OUTCOMES:-

After studying this lesson student should know  
  • the ordered pair, method of finding the Cartesian product, 
  • relation and functions, their pictographs, their domain, co-domain and range.
  • Students should know the different types of real valued functions with their graphs.
STUDENTS DELIVERABLES:-

  • Review questions given by the teacher.  
  • Students can make a pictorial representation showing relation and functions with their domain, co-domain and range. 
  • Solve NCERT problems with examples and some extra questions from refreshers.

EXTENDED LEARNING:-

Students can extend their learning in   through the Resource Centre Mathematics . Students can also find many interesting topics on mathematics at the site:   cbsemathematics.com

ASSESSMENT TECHNIQUES:-

Assignment sheet will be given as home work at the end of the topic. Separate sheets which will include questions of logical thinking and Higher order thinking skills will be given to the above average students.
Class Test , Oral Test , worksheet and Assignments. can be made the part of assessment.
Re-test(s) will be conducted on the basis of the performance of the students in the test.


THANKS FOR YOUR VISIT
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