Motivation
Chapter Name : Principle Of Mathematical Induction |
Sub Topic Code : 104_11_04_02_01 |
Topic Name : Motivation |
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Sub Topic Name : Motivation |
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Introduction
The basic principle behind mathematical induction can be understood with the help of the domino effect which is a chain of events taking place when the first member of the arrangement is disturbed.
Pre-Requisites:
Knowledge of deductive reasoning , basic idea about mathematical induction
Activity:
Try to observe the domino effect with different objects like tiles , bricks under linear as well as circular arrangements.
Real Life Question:
How can induction be related to a chain of events one after the other?
Key Words / FlashCards
| Key Words | Definitions (pref. in our own words) |
|---|---|
| Mathematical Induction | A tool which helps us to establish mathematical proofs. |
| Domino Effect | A condition when all dominoes placed in succession one after the other falls when the first one falls. |
Learning aids / Gadgets
| Gadgets | How it can be used |
|---|---|
| Take 8 tiles of same shape and size. | Place the tiles at equal distances in a straight line on the ground. Hit the first tile in the line. See how all tiles in the line fall one after the other. |
Real life uses :
Using induction to successfully predict a chain of events.
Places to visit :
The construction site.
Practical examples around us
| Examples | Explainations |
|---|---|
| Collision among similar balls placed in a line at equal distances when the first ball is hit. | The first ball hits the second ball and induces motion in it and so on till the last ball in the line starts moving. |
What you learn in Theory:
Motivation behind mathematical induction.
What you learn in Practice:
Predicting a chain of events with the help of induction.