Lesson Plan, Class XI (Ch-4) | Principal of Mathematical Induction

E- LESSON PLAN   SUBJECT MATHEMATICS    CLASS 10+1

Lesson plan for maths class XI (Chapter 4) Principal of Mathematical Induction cbse lesson plans for mathematics teachers,  Method to write lesson plan for maths class 11, lesson plan for maths class XI, lesson plan for mathematics grade XI, lesson plan for maths teacher in B.Ed.

Board – CBSE	CLASS –XI	SUBJECT- MATHEMATICS
CHAPTER 4 : Principal of Mathematical Induction

TOPIC  :-  Chapter : 4 : Principal of Mathematical Induction

DURATION:-  

This chapter is divided into 10 modules and is completed in 25 class meetings.

PRE- REQUISITE KNOWLEDGE:-

Knowledge of number system.

TEACHING AIDS:- 

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

METHODOLOGY:-   Lecture method  and Demonstration

OBJECTIVES:-

• Process of the proof by induction.

• Motivating the application of the method by looking at natural numbers as the least inductive subset of the real numbers.

• Principal of mathematical induction and its simple applications.

PROCEDURE :-

Start the session by asking simple questions related to the mathematical formulas and their proofs, then starts explaining to the students about different methods and techniques of proving that the given formula is universally accepted or not.  Now introduce the topic step by step as follows.

S. No.	Topic
1	Introduction : In algebra, there are certain results or statements that are formulated in terms of n, where n is a positive integer.  To prove such statements the well suited principal that is used on the specific technique, is known as the Principal of Mathematical Induction.
2	Motivation : In mathematics we use a form of complete induction called mathematical induction. To understand the basic principal of mathematical induction, suppose a set of thin rectangular tiles are placed as shown. When the first tile is pushed in the indicated direction, all the tiles will fall.
3	Now introduce the topic Principal of Mathematical induction and explain different steps involved in the principal. First Step: At n = 1 Let us take the mathematical result in terms of n. Explain the  first step at n = 1 by putting n = 1 then making LHS = RHS
4	Step II : Let us consider that the result is true at n = k. Here we replace  all the terms in n by k.
5	Step III : Here we shall prove that the result is true at n = k+1 First we take the last term of the LHS in step II, and then replace k by k+1. Add this term to the LHS of step II and on the RHS replace k by k+1. Now solve the LHS and RHS so that both sides become equal.
6	If the result is true in First, Second and Third steps, then by principal of mathematical induction the result is true for all values of n.
7	Now help the students in applying this principal to verify the different results.

EXPECTED OUTCOMES:-

After studying this lesson student should become 

• Familiar with the term Principal of Mathematical Induction. 
• Students should know how to apply first, second, and third step to verify the given mathematical statement or formula.

STUDENTS DELIVERABLES:-

• Review questions given by the teacher. 
• Students should prepare a demonstration on this topic and explain it in the front of the class so that all students become familiar with the topic.  
• 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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