Interesting Web Pages

In this post I will show some Internet sites in which you can find extra information:

1. http://en.wikipedia.org/wiki/Pythagorean_theorem


2. http://www.cut-the-knot.org/pythagoras/


3. http://en.wikipedia.org/wiki/Pythagoras


4. http://www.gap-system.org/~history/Biographies/Pythagoras.html

Here are some links to sites with really useful games:

1. http://www.crctlessons.com/Pythagorean-theorem-game.html

And a link I made in Excel:

1. http://www.mediafire.com/?sharekey=55c9e7f2eb048319e62ea590dc5e5dbbe04e75f6e8ebb871

Proof of the Pythagorean Theorem

There are more than 367 proofs for this theory, Im just going to show a few.
proof with the equation:
c= square root of a2+b2;
a2=c2-b2;
b2=c2-a2.



proof of rearranging. These is that the squares on a and b can fit on the square of c.



proof of substracting areas. it means that the square of the hypotenuse plus four triangles is the same than the squares of the two legs plus four triangles.


proof of algebra.

What was his theory?

Pythagoras most known discovernment was the Pythagorean Theorem. He discovered it not alone, but with all his group of followers but it is still called after him. This discovery is known all over the world and it is taught everywhere.

The Pythagorean Theorem basically is a relationship between the three sides of a right triangle. the equation for this relationship is a2+b2=c2. a and b are the shortest sides (legs) of the triangle and c is the longest side (hypotenuse). The equation means that axa + bxb = cxc. If you draw this you would get a right triangle with squares on each side. Here is an example.

Who was Pythagoras?

Pythagoras was a Greek mathematician that founded the Pythagoreanism. He was born between 580 and 572 BC and died between 500 and 490 BC. As many other Greeks, he wasn’t only a mathematician; he was also a philosopher and a scientist. He is mainly known because of his math discoveries, between them, the Pythagorean Theorem, which is named after him.

He believed that math was related to everything. That with numbers you can measure patterns and cycles. What is interesting about him is that he was the first “lover of wisdom” or a philosopher. All of his writings disappeared and all we know from him is from writings from his friends. What I can say from this is that maybe he found something else about math that we don’t know and never told anyone so it will be always a secret.

There was a group of followers who are now a day called the Pythagoreans. The idea of this group was that everything started with numbers and everything can be solved with numbers. This group was not only a group of people that got together to talk about math, they were like a family, a brotherhood. They helped each other in everything. In their math problems and in life problems. They had a rule that I’m going to just as I got it. A rule that they had was to help a man "in raising a burden, but do not assist him in laying it down, for it is a great sin to encourage indolence."

Introduction

I´m Alicia Perez and in my computers class they made me do a blog on the Internet about some unit we did in math this year. I chose to do the Pythagorean Theorem.

They made me choose a role and an audience to make it for. I chose to be a math teacher whose students couldn't understand this unit. My math students were having trouble understanding.

In this blog I have to put inside something done in Excel and a PowerPoint presentation. all of this made from information about anything to do with the Pythagorean Theorem.

I hope you enjoy this school project!!!!