Lesson Plan Math Class XI (Ch-7) | Binomial Theorem

LESSON PLAN MATHEMATICS
CLASS - XI
CHapter - 7 : BINOMIAL THEOREM

Lesson plan for math. class XI  Binomial Theorem, cbse lesson plans for mathematics teachers,    lesson plan for maths teacher in B.Ed.

Rmb dav centnary public school Nawanshahr
NAME OF THE TEACHER				DINESH KUMAR
CLASS	10+1	CHAPTER	07	SUBJECT	MATHEMATICS
TOPIC	BINOMIAL THEOREM			DURATION : 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.

LEARNING OBJECTIVES:

• Introduction and History of Binomial Theorem.

• Statement of Binomial Theorem.

• Proof of Binomial Theorem for positive indices.

• Pascal’s Triangle.

• Simple applications of Binomial Theorem.

EXPECTED OUTCOMES:-

After studying this lesson student should know 

• The statement of Binomial Theorem.

• Understanding of Pascal's Triangle.

• Students also understand the implementation of Binomial concept in different problems.

RESOURCES

• NCERT Text Book,

• NCERT Exemplar Book of mathematics,

RESOURCE MATERIAL : 

Worksheets , E-content, Basics and formulas from  (cbsemathematics.com)

KEY WORDS:

Binomial Expression, Binomial Theorem , Expansion , Positive Integral Index , Power of a Binomial , Pascal's Triangle

LEARNING ACTIVITIES:

INTRODUCTORY ACTIVITY

EXPERIENTIAL ACTIVITY

ART INTEGRATED ACTIVITY

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.

Topic

[For Complete Explanation of the topic Click Here]

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.

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
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.

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

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
Middle term : 
               
If total terms is even, i.e. value of n+1 is even, then there are two middle terms are as follows :  
             

To find the r^th term from end of the Binomial Expansion

Let index of the binomial is = n

Total terms of the expansion is = n + 1

r^th term from the end = (n + 1 – r + 1)^th term from the stating.
                                         = (n – r + 2)^th term from the starting

Now help the students to apply the binomial concepts in different problems given in the

NCERT Book or in any other reference book.

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:-
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.

Competency based assessment can be taken so as to ensure if the learning outcomes have been achieved or not. e.g.

• Puzzle

• Quiz

• Misconception check

• Peer check

• Students discussion

• Competency Based Assessment link: M C Q

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