Shall we draw maths?

Shall we draw maths?

We have already seen about graph paper. Graph papers help us a lot in learning about geometric shapes and number lines.

We can't forget the help that the graph paper made in learning about area.

It can be said that mathematics and graphs not be separated.

It is the graph paper that gives shape to mathematics, which is numbers. We'll see how it goes.

Before that you must be familiar with graph paper. Let's compile them.

Let's draw a horizontal line as the center of the graph paper. The horizontal line lying on this is taken as the X axis.

In this we will note the positive numbers (plus numbers) to the right of the central zero and the negative numbers (minus numbers) to the left of zero.

Now let's establish a vertical line through the zero of the horizontal line X axis? This vertical line is called the Y axis.

The X axis cuts through the center of this Y axis. From there let's note the positive numbers (plus numbers) above the zero and the negative numbers (minus numbers) below the zero.

Now the horizontal line and vertical line i.e. X axis and Y axis together divide the graph paper into four parts?

These four quarters are divided into first quarter, second quarter, third quarter and fourth quarter.

The first quadrant is the area enclosed by the plus number lines of the X and Y axes.

The second quadrant is the area enclosed by the negative number (minus number) line on the X axis and the positive number (plus number) line on the Y axis.

The third quadrant is the area enclosed by the negative number (minus number) line on the X axis and the negative number (minus number) line on the Y axis.

The fourth quadrant is the area bounded by the positive number (plus number) line on the X axis and the negative number (minus number) line on the Y axis.

You can see this in the picture below.

All you need to know is how to mark the points. If two numbers are taken as a pair that is the marking point of the graph paper.

For example take (2, 3) which is a point. The first number of this point corresponds to the X axis and the second number corresponds to the Y axis. That is, the point (2, 3) is where the X-axis 2 and the Y-axis 3 meet. This point is located in the first quarter. This is because both are positive numbers (plus numbers). The first quadrant is bounded by the plus number lines of the two axes.

So if we take (-2, 3) it will be in the second quarter. Because the first number of this point -2 is negative number (minus number) we will take it on negative number (minus number) line segment of X axis. Since the second number of point 3 is a positive number (plus number) we take the positive number of the Y axis in the line segment. The point where these two numbers meet is (-2, 3).

If we take the point (-2, -3) since both the numbers of the point are negative numbers, then the negative number of both axes is taken in the line segment, so the point will be in the third quadrant.

If we take (2, -3) since the first number 2 is a positive number (plus number) on the positive number (plus number) line of the X axis and the second number -3 is a negative number (minus number) it is taken on the minus number line of the Y axis so it is the fourth quarter.

These are all your well-known concepts.

The main benefit of this graph paper, as I said earlier, is the shape it gives to numbers.

It is the graph number that gives the numbers a form called a number line.

Now let's take the table below that we saw in the proportionality?

Numerator	1	2	3	4	5	6	7	8	9	10
Denominator	4	8	12	16	20	24	28	32	36	40

Oh! Again we are saying that it is a direct proportion. Aren't all math topics interrelated?

What does the above table indicate?

Let's say it represents fractions, represents direct proportion, represents multiples, represents the side and perimeter of a square. It can also be said that it indicates the marking points on the graph paper.

You say so? Yes, that's right.

Now take numerator as X and denominator as Y. Oh yes, you say?

X	1	2	3	4	5	6	7	8	9	10
Y	4	8	12	16	20	24	28	32	36	40

Now if we take a number from X and a number from Y, the points we need to mark are ready.

Before that, how do these points lie, can we note that y = 4x? So all numbers in y are multiples of 4x? So the equation we have taken is correct?

Now let's look at the points to be marked. That is, we take a number from X and a number from Y to generate points.

(1, 4)

(2, 8)

(3, 12)

(4, 16)

(5, 20)

(6, 24)

(7, 28)

(8, 32)

(9, 36)

(10, 40)

Note these points on the graph paper . Just connect the points.

The picture you see now is the graph for a direct proportion that we created in the table. It is simply a graph showing the relationship between the side size and the perimeter of a square. It's just a graph showing multiples of four. That's just the graph for the equation y = 4x.

Not only that, but it is also a graph of functions as you will learn in the upper classes.

You will also learn that any algebraic equation can be graphed like this on graph paper.

A graph sheet is a basic tool of 2D i.e., two dimension. You will also understand that this fundamental helps you to understand from 3D to n-Dimension.

Also take a table for inverse ratio and note its points on the graph paper. You can also understand how its graph is structured.

What's next? I understand what you're asking.

We are almost at the end of easy maths. Before that, I think we can conclude by talking about statistical basic measures of central or representative value.

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