Patterns In Mathematic - Chapter 1 - Class VI

 Mathematics - Patterns In Mathematics Part - 1

Hello Students, I am Mentor 0, and today we will be starting a new chapter in maths which is 'Patterns In Mathematics'. So this is the first chapter of class VI maths and an easy one too. We'll be exploring every concept of this chapter and I'll be leaving a download button for you to download the free pdf of this chapter directly from NCERT. If the button doesn't work then you can visit the Official Ncert Website: https://ncert.nic.in/textbook.php

Click this button to make your free PDF available.

So let's get Started:

So in this chapter, we will be learning about patterns followed by mathematics and numbers in mathematics. So the first part deals with explaining what mathematics is and how it works and deals with numbers. So basically mathematics is just a journey of exploring how and why patterns appear. Patterns are simply long chains following a certain pattern through numbers. So for example we'll take a pattern that is "2,4,6,8,10,12,14" so what can you think after seeing this pattern I have written over here. You might have already figured out that it is the pattern of all the even numbers or you can say that its every number skipping by 1. This chain of numbers follows a particular pattern and is thus known as a pattern. Whereas, if we take this chain "1,4,2,7,2,7,2,9,3,0", This chain, in particular, doesn't follow any of the patterns, so it is not a pattern. Some common patterns you will see regularly are:

Even numbers: 2,4,6,8,10,12,14,16,18

Odd Numbers: 1,3,5,7,9,11,13,15,17,19

Square Numbers: 1,4,9,16,25,36,49,64,81,100

Cube Numbers: 1,8,27,64,125,256,343,512

Counting Number: 1,2,3,4,5,6,7,8,9,10

Power of 2: 2,4,8,16,32,64,128,256,512,1024,2048,4096

These patterns aren't meant to be remembered at all but you can use them as your reference.

Our next topic is 'Visualising Patterns in Mathematics'. This topic will be covered by us through the activity of Dots as given in the NCERT. We'll try to make some patterns through them and here they are:

 ODDS

 EVENS

 SQUARES

So as you can see we have done three of them and now you might have some idea of how these patterns work. Similarly, you can do many more with the patterns listed before.

Now we will move ahead to the next topic which is about relating number patterns/sequences to each other. In this topic we will also learn what makes a pattern and how can we state that a given set of numbers is a pattern.

    Starting off with the first thing that is how can you segregate a pattern from set of numbers. This is stated by indications and these indications are uniform in the whole pattern. Usually they include difference or sum of same number. For eg.

1,3,5,7,9,11

This pattern has the increment of 2 in each pair. Therefore it is a pattern.

So it was all for today. We'll meet in part 2 and learn a few more things. Till then keep learning and be healthy.