Finding The Square Of A Number
Chapter Name : Squares And Square Roots |
Sub Topic Code : 104_08_06_04_03 |
Topic Name : Finding The Square Of A Number |
|
Sub Topic Name : Pythagorean Triplets |
|
Introduction
What are Pythagorean triplets?
Pre-Requisites:
Basic knowledge about arithmetic, square numbers and square roots
Activity:
Two numbers are taken as the sides of a right angled triangle. Each number is represented on the abacus and then it’s square. Both the squares are added. The length of hypotenuse will be the square root of that sum.
Real Life Question:
How are the lengths of diagonals of a room measured?
Key Words / FlashCards
| Key Words | Definitions (pref. in our own words) |
|---|---|
| Pythagorean Triplet | A set of three numbers which can form a right angled triangle. |
Learning aids / Gadgets
| Gadgets | How it can be used |
|---|---|
| Abacus | Use abacus to represent the numbers. Note down the no. of beads on the top in the unit place for the number. Represent its square. Note down the no. of beads on the top in the unit place. represent the next numbers and its squares and repeat the procedure. Add them and see if the number is a perfect square. |
Real life uses :
Construction, business transactions, computer games, animations
Practical examples around us
| Examples | Explainations |
|---|---|
| Overhead tanks Computer games | 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 The squares and square roots are used in construction of computer games during interactions of characters with objects |
What you learn in Theory:
Square of a number is the product of itself. A number which has integers as its square roots is called a perfect square. Pythagorean triplets are those three numbers which can form a right angled triangle.
What you learn in Practice:
The sum of squares of two numbers should be a perfect square. Then the three numbers are called a Pythagorean triplet.