Square Roots
Chapter Name : Squares And Square Roots |
Sub Topic Code : 104_08_06_05_02 |
Topic Name : Square Roots |
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Sub Topic Name : Finding Square Root Through Repeated Subtraction |
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Introduction
What is a square root?
Pre-Requisites:
Basic knowledge about arithmetic operations, square numbers and square roots
Activity:
A square number on repeated subtraction with odd numbers will result in 0
Real Life Question:
How are the lengths of diagonals of a room measured?
Key Words / FlashCards
| Key Words | Definitions (pref. in our own words) |
|---|---|
| Square root | A number which when multiplied by itself will form a square number. |
Learning aids / Gadgets
| Gadgets | How it can be used |
|---|---|
| Abacus | Represent a number on the abacus. Start subtracting all the odd numbers from the number one after the other and note down the result and the respective step number. |
Real life uses :
Construction, business transactions, computer games, animations
Practical examples around us
| Examples | Explainations |
|---|---|
| Overhead tanks | The area of the tank is measured by dividing the capacity of tank with its proposed height. We use square roots to determine sides or radius |
| Computer games | The squares and square roots are used in construction of computer games during interactions of characters with objects |
What you learn in Theory:
Like subtraction and division, the inverse operations of addition and multiplication, finding a square root is the inverse operation of squaring a number. A square root can be found by repetitive subtraction of odd numbers from the square number and the step at which the difference becomes 0 is our required square root.
What you learn in Practice:
The beads on the abacus are subtracted from 1 and increasing with other odd numbers in line. If the difference becomes 0 at nth step, then the square root of the taken number is n.