This pattern represents the SQUARE NUMBERS: 1,4,9,16,25,36...draw a picture or diagram to explain SQUARE NUMBERS.
To draw a picture or diagram explaining square numbers, we can start by drawing a square grid. Each row and column in the grid will represent a counting number, starting from 1.
1 2 3 4 5 6 ...
1 1 2 3 4 5 6 ...
2 2 4 6 8 10 12 ...
3 3 6 9 12 15 18 ...
4 4 8 12 16 20 24 ...
5 5 10 15 20 25 30 ...
6 6 12 18 24 30 36 ...
...
In this grid, the numbers are arranged in such a way that each cell contains the product of the corresponding row and column numbers. For example, in row 3 and column 4, you will find the number 12 because 3 multiplied by 4 gives 12.
The numbers highlighted in the grid, such as 1, 4, 9, 16, 25, 36, are the square numbers. These numbers are obtained by multiplying a number by itself.
In the first row, you will find 1, which is the square of 1 (1 x 1).
In the second row, you will find 4, which is the square of 2 (2 x 2).
In the third row, you will find 9, which is the square of 3 (3 x 3).
And so on...
As you move down the diagonal from the top left to the bottom right of the grid, you will encounter all the square numbers.
This diagram illustrates how square numbers can be represented visually in a grid, making it easier to understand the concept.