Introduction
Chapter Name : Linear Equations In One Variable |
Sub Topic Code : 104_08_02_01_01 |
Topic Name : Introduction |
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Sub Topic Name : Introduction |
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Introduction
A linear equation in one variable is an equation where one quantity is unknown and its power in one. In the question, time is the unknown quantity and it has a power 1 in the equation relating speed, distance and time.
Pre-Requisites:
Basic knowledge about arithmetic operations
Activity:
The path set should be a straight line. Let the position of the ship be a variable and we know the length of the path. From this, we can calculate the position of the ship from one point.
Real Life Question:
How much time do we need to travel 50km at a speed of 20kmph?
Key Words / FlashCards
| Key Words | Definitions (pref. in our own words) |
|---|---|
| Non Linear Equation | Any one of the variable(s) of the equation should have power other than 1. |
| Linear Equation | The power of the variable(s) should be 1 |
| Algebraic Equation | It is an equality involving variables |
Learning aids / Gadgets
| Gadgets | How it can be used |
|---|---|
| Map, toy ships | On a map,a travel route can be set from one port to another in a single dimension for our current use. Toy ships can be placed at various places and their current position can be known using linear equations of one variable. |
Real life uses :
Conversion of units from one scale to other, traveling, exchange rates, Cell phones
Practical examples around us
| Examples | Explainations |
|---|---|
| Money Exchangers | USD= 55.4*INR (Everyday value changes) |
| Cell phone tarrif | The tarrif of telephone is a linear variable in the equation which relates the total seconds used to the tarrif per second and total tarrif. |
What you learn in Theory:
An Intro into the representation of a linear equation in one variable.
What you learn in Practice:
This has many applications in everyday situations as well as higher maths and applied science and commerce. This topic throws light on the importance of the concept.