Some More Interesting Pattern
Chapter Name : Squares And Square Roots |
Sub Topic Code : 104_08_06_03_01 |
Topic Name : Some More Interesting Pattern |
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Sub Topic Name : Some More Interesting Pattern |
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Introduction
What is a perfect square?
Pre-Requisites:
Basic knowledge about multiplication, square numbers and square roots
Activity:
For a particular number of beads on the top in the unit place, its square will have a standard value of number of beads on the top in its unit place all the time.
Real Life Question:
How are the dimensions of area for a swimming pool of some volume derived?
Key Words / FlashCards
| Key Words | Definitions (pref. in our own words) |
|---|---|
| Square number | A number that is the product of a number with itself. |
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. |
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. Square numbers have only digits of 0,1,4,5,6,9 in their unit place. Even numbers have even squares and odd numbers have odd squares. The number of zeroes in a square of a 10 multiple is always even.
What you learn in Practice:
On reducing odd numbers from a perfect square one after the other the no. of beads on the top of abacus will come down to 0.