Lesson Plan Math Class XI Ch-7 | Permutations & Combinations

E- LESSON PLAN   SUBJECT MATHEMATICS    CLASS 10+1

Lesson plan for maths class XI (Chapter 7) Permutations and combinations, cbse lesson plans for mathematics teachers,  Method to write lesson plan for maths class 11, lesson plan for maths class XI, lesson plan for maths teacher in B.Ed.

Board – CBSE	CLASS –XI	SUBJECT- MATHEMATICS
CHAPTER  : 7 : Permutations and Combinations

TOPIC:- 

Chapter 7 : Permutations and Combinations

DURATION:-  

This chapter is divided into 9 modules and is completed in 10 class meetings.

PRE- REQUISITE KNOWLEDGE:-

General Knowledge of mathematical concepts

TEACHING AIDS:- 

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

METHODOLOGY:-   Lecture method  and Demonstration.

OBJECTIVES:-

• Fundamental Principal of Counting.
• Factorial Notations.
• Permutations and derivation of formula 

• Combinations and derivation of formula 

• Simple applications based on Permutations and Combinations.

PROCEDURE :-

Start the session by giving little introduction about the arrangements of the objects and its types.  Now introduce the topic Permutation and combination step by step as follows.

S. No.	Topic [For complete explanation Click Here]
1	1. Fundamental Principal of Counting :  If an event can occur in m different ways, following which another event can occur in n different ways, then the total number of occurrence of the events in the given order is  m x n. This principal can be generalized for any finite number of terms.
2	If an event can occur in m different ways, following which another event can occur in n different ways, following which another event can occur in p different ways, and so on.  Then the total number of occurrence of the events in the given order is  m x n x p…………..
3	Factorial Notation :  The product of n natural numbers is denoted by  n! and read as  n factorial i.e. n! = 1 . 2 . 3 . 4 ……… (n - 2)(n - 1) n  or n! = n(n - 1)(n - 2) …… 3 . 2 . 1
4	Permutations: A permutation is an arrangement in a definite order of a number of objects taken some or all at a time. Permutations when all the objects are distinct. The number of permutations of n different objects taken r at a time is
5	Now explain the derivation of formula:
6	Number of permutations of n different objects taken r at a time, where repetition is allowed is  nr.
7	Number of permutations of n objects, where p are of the same kind and rest are all different is given by
8	Permutations when all the objects are not distinct: The number of permutations of n objects, where P1 objects are of one kind, P2 objects are of second kind ……….. Pk are of kth kind and rest if any are different is given by:
9.	The number of combinations of n different objects taken r at a time is given by :

EXPECTED OUTCOMES:-

After studying this lesson student should know 

• The term Permutations, combinations and factorial notations. 
• Students should know the formula of finding the permutations and combinations. 
• Students also be able to implement these formulas in different problems

STUDENTS DELIVERABLES:-

• Review questions given by the teacher. 
• Students should prepare the presentation individually or in groups on the basic concepts and formulas based on the topic permutation and combinations.  
• Solve NCERT problems with examples.

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.

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