Page 11 - Revised Maths Wisdom Class - 6

1 Patterns in Mathematics

CHAPTER OUTLINES

● Patterns in Numbers ● Visualising Number Sequences ● Patterns in Shapes

RECALL

● Even numbers: Those numbers which are divisible by 2, are called Even number.
i.e., 2, 4, 6, 8, 10, 12, ....
● Odd numbers: Those numbers which are not divisible by 2, are called odd numbers.
i.e., 1, 3, 5, 7, 9, 11, ....
● Square numbers: If we do the square of every natural number then we get another series called square numbers series.
i.e., 1, 4, 9, 16, 25, 36, ....
● Cube numbers: If we do the cube of every natural number then we get another series called cube number series.
i.e., 1, 8, 27, 64, 125, 216, ....
● Triangular number series: The triangular number square is the representation of the numbers in form of equilateral triangle
arranged in a series.
i.e., 1, 3, 6, 10, 15, 21, 28, ....
● Fibonacci series (Virahanka numbers): It is the series of numbers where each number is the sum of the two preceding numbers.
i.e., 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, ....
● Power of 2 series: In this series number is composed by power of 2 is known as power of 2 series.
i.e., 1, 2, 4, 8, 16, 32, ....

Introduction

Basically mathematics is all about numbers. It also involves the study of different patterns. There are different
types of patterns such as number patterns, image patterns, word patterns etc. Number patterns are very common
in mathematics. There are quite familiar to the students who study maths frequently. Especially number patterns
are everywhere in mathematics. Apart from this, nature is the best example which shows patterns. Nature provides
patterns in flowers, animals and shapes. The secret of discovering these patterns is to look around. This is called
observations.
Numbers are facinating and so are the patterns.

Patterns in Numbers
Numbers have fascinated humans since ages, be it the mathematicians or statisticians. There is so much that one
can do with them, and there’s so much that is yet to be discovered, for example, we know that the whole numbers
represent the set of all positive numbers. Including zero without any decimal or fractional part. But did we know
that we can derive relationships between the whole numbers by finding some kind of patterns between them.