Areas are Tables!
It seems to me that you
are thinking that you are teaching all mathematical subjects using tables and
suddenly you are teaching area using geometry and graphs.
Math is like that. All
its titles are the same. One can be exchanged for the other. It is on that
basis that we looked at the geometry and diagrams yesterday.
You ask, have we seen area
as geometry and graphs to tables?
Yes tell me what doubt
it is. Let's reminisce about the old connection.
Look now. In second
table take 2 × 2 = 4. Take 3 × 3 = 9 in the third table. Take 4 × 4 = 16 in the
fourth table. Understandably you are asking if we should take 5 × 5 = 25 in the
next fifth table. Yes it is. In this way, take the sixth table and the seventh
table and so no. What do you understand?
Are you saying that
this is what you taught class? Yes, same. Not only that but now all you see is
the area of the squares. What is the formula for the area of a square? side × side?
That means the side size is the same side size multiplied by the side size.
Then the two numbers multiplied are the same. If the two numbers being
multiplied are same then it is square number.
If all we see as square
is the area of the square then yes it is. If we look at the shape of the square, it
will be the area of the square. That is, if the two numbers being multiplied
in the product of side are the same number, then its product is also the area
of square or square number.
Do you now understand
how the area of a square is derived from the table? And how the square is born from the
area of the square. That's why I said that you can learn the entire math while
keeping table.
That's right, if 2 × 2
= 4, 3 × 3 = 9, 4 × 4 = 16, ... represent the area of a square, then what do
the other multiplication products represent?
Therein lies the
delicious math. All other multiplications refer to the area of the rectangle. That is
2 × 3 = 6, 2 × 4 = 8, …. All of which represent the area of the rectangle. Is this
real, you ask? It's real.
So I hear you asking me
to face that reality. We will show it tomorrow. It is not enough to hear
mathematical facts. Do not want to see the eye!
Some of my friends say
that I talk a lot in one day, so I will stop with this amount today. If not,
that reality can be exposed even today. That's why your comfort is important to
me. We will see tomorrow.
Now you agree that area
is multiplication table. Others see tomorrow.
*****
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