E- LESSON PLAN SUBJECT MATHEMATICS CLASS 10+1
Lesson plan for math. class XI (Chapter 8) Binomial Theorem, 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
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CLASS –XI
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SUBJECT- MATHEMATICS
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CHAPTER :
8 : Binomial Theorem
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Chapter 8 : Binomial Theorem
DURATION:-
This chapter is divided into 8 modules
and is completed in 10 class meetings.
PRE- REQUISITE KNOWLEDGE:-
Knowledge of all types of Polynomials.
Knowledge of Algebraic Identities
(Binomials only)
TEACHING AIDS:-
Green Board, Chalk, Duster, Charts, smart board, projector,
laptop etc.
METHODOLOGY:- Lecture method and Demonstration.
OBJECTIVES:-
- Introduction and History of Binomial Theorem.
- Statement of Binomial Theorem.
- Proof of Binomial Theorem for positive indices.
- General and middle term in Binomial Expansion.
- Simple applications of Binomial Theorem.
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.
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Topic
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1
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Introduction: In earlier classes we
tries to learn the expansion of binomial like (a + b) and (a - b) with
exponents 2 , 3 or 4. But it is difficult to learn the expansion of these
binomials with exponent 5,6,7, ….. But this task can be made very easy with
the help of Binomial Theorem.
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2
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Statement
of the binomial theorem:
In
general binomial theorem can be written as
General
term of the binomial theorem is written as
Note:
1.
Number of terms is one more than the index
If index is = n then number of terms = n+1
If
index is = 10 then number of terms = 11
2.
Power of first quantity ‘a’ go on decreasing by 1, whereas the power of the
second quantity ‘b’ increases by 1, in the successive terms.
3.
In each term the sum of the indices of a and b is the same and is equal to
the index of a + b
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3
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Now explain the Pascal triangle to
the students as follows:
Pascal's Triangle
The
array of numbers shown in the following figure is called Pascal’s
triangle. It is called Pascal Triangle because it is given by French
Mathematician Blaise Pascal.
Pascal Triangle is a useful technique
to find the indices to expand any binomial.
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4
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General Term in Binomial Theorem
To get fist term of the expansion we
put r = 0,
To get second term of the expansion
we put r = 1, and so on
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5
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Middle term in the
Binomial Theorem:
For index n, total
terms in the binomial expansion = n + 1
If total terms is
odd, i.e. value of n+1 is odd, then
If total terms is
even, i.e. value of n+1 is even, then there are two middle terms are as follows
:
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6
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To find the rth term from
end of the Binomial Expansion
Let index of the binomial is = n
Total terms of the expansion is = n +
1
rth term from the end = (n
+ 1 – r + 1)th term from the stating.
= (n – r + 2)th term from the starting
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7
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Now help the students to apply the binomial
concepts in different problems given in the NCERT Book or in any other reference
book.
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EXPECTED OUTCOMES:-
After studying this lesson student
should know
- The statement of Binomial Theorem, its general term, its nth term, middle
term, and the rth term from the end of the
expansion.
- Students also know the implementation of Binomial concept 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 Binomial Theorem.
- Solve NCERT problems with examples.
EXTENDED LEARNING:-
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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