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

LESSON PLAN   SUBJECT MATHEMATICS    CLASS 10+1

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

TEACHER'S NAME :    DINESH KUMAR	SCHOOL :   RMB DAV CENTENARY PUBLIC SCHOOL NAWANSHAHR
SUBJECT   :   MATHEMATICS	CLASS                  :   XI  STANDARD BOARD                 :  CBSE
LESSON TOPIC / TITLE   :  CHAPTER 07:   Binomial Theorem	ESTIMATED DURATION:  This chapter is divided into 10 modules and is completed in 20 class meetings.

TOPIC:- 

Chapter 07 : 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.

• Pascal’s Triangle.

• 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.

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.

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:-

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

THANKS FOR YOUR VISIT

PLEASE COMMENT BELOW

🙏