Introduction
Chapter Name : Principle Of Mathematical Induction |
Sub Topic Code : 104_11_04_01_01 |
Topic Name : Introduction |
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Sub Topic Name : Introduction |
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Introduction
Principle of mathematical induction is an axiom of mathematics. It is used to prove, Mathematically, that a given statement is true for all natural numbers.
Pre-Requisites:
Deductive Reasoning.
Activity:
At the bicycle stand, observe that when one bicycle falls, all others fall due to induction.
Real Life Question:
Can induction lead to a series 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. |
| Deductive Reasoning | Use of given statements and facts to reach logically correct conclusions. |
Learning aids / Gadgets
| Gadgets | How it can be used |
|---|---|
| Take 5 similar balls. | Place the balls at equal distances in a smooth channel. Hit the first ball in the line. See how it induces motion in the other balls. |
Real life uses :
Solving real life problems using deductive reasoning.
Places to visit :
The school bicycle stand.
Practical examples around us
| Examples | Explainations |
|---|---|
| At a bicycle stand when one bicycle falls, all others fall one after the other. | This is because each falling bicycle induces movement in the bicycle next to it. |
What you learn in Theory:
Introduction to mathematical induction.
What you learn in Practice:
Deriving logical conclusions from given facts and statements.