Wednesday, February 8, 2017
Pythagorean Theorem Blog #1
8th grade students, I am excited for our first blog to be started. Today you will be reading an article on the Pythagorean Theorem. The website to view the article is https://nrich.maths.org/2721. Please read the article and write one paragraph (5-6 sentences) on what you have learned from it. Be sure to put how you can relate what you have learned in real life. Next, you will comment on another students blog. I do not want to see anything like " Good Job" or " I agree". Your response must be 2-3 sentences.
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What I learned from the article is Pythagoras formed a special school where members followed strict rules. Pythagoras thought numbers where male and female, ugly or beautiful, or had a special meaning. 1 is the number of reason. 2 is the first even or female number, the number of opinion. 3 is the first true male number, the number of harmony. 4 is the number of justice or retribution. 5 means marriage. 6 is creation ...and so on. Something that Pythagoras' school learned about was the sum of the angles of a triangle is equal to two right angles because they were so interested in triangles. Perhaps the most famous theorem in the world is known as Pythagoras' theorem. It is thought that it was known to the Babylonians 1000 years earlier but Pythagoras may have been the first to prove it. The theorem is: for a right-angled triangle the square on the hypotenuse is equal to the sum of the squares on the other two sides.
ReplyDeleteThis was very well thought out and put together.If i was a teacher this would be an A.
DeleteGreat and simple way to explain what you have learned. Really shows that you understand the Pythagoras Theorem.
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ReplyDeleteFrom this article I learned that Pythagoras created a method called the Pythagorean theorem which is a2+b2=c2.
He studied mathematics and thought numbers had a certain meaning.
He grouped odd numbers even numbers and triangular numbers.
Pythagorean main focus was triangles he made up the idea of using the corners of the triangle to make a straight line. Pythagoras did many of things such an hypotenuse to the opposite side of the right angle.
Jamarkus Allen I learned that they thought pythagorean numbers was a male or female. Then I didn't know that there was triangular number that's new and how the numbers go up, and they had square numbers. The sum of the triangle equal to two right triangles didn't know that. Also they had a special meaning. I learned Pythagoras formed a school were members followed strict rules.
ReplyDeleteThat's good that you understood the theorem. And you learned something new about the triangular numbers. Awesome job all-around.
DeleteWhat I learned from reading the article about Pythagorus was that, one thing Pythagorus was a Greek philosopher and lived around the time of 580 BC to about 500 BC. He made important developments in mathematics and many other get developments. Pythagoras spent most of his life studying mathematics and he even formed a special school where the ones that where apart of his school had to followed strict rules, one of the rules were that they couldn't eat meat. Pythagoras thought that everything in the world could be explained by using numbers and his school, that he created, worked hard to try to learn enough about numbers to be able to understand the universe.In Pythagorus'school, he also taught about shapes and created one theorem which was the sum of the angles of a triangle is equal to two right angles.
ReplyDelete~Hailee Medlock
This is a good way of explaining what you have learned. It's good that you included the years, and rules.
DeleteI learned from the article that... Pythagoras of Samos was a Greek philosopher who lived from about 580 BC to about 500 BC. He made important developments in mathematics. He believed that everything in the world could be explained by numbers. Pythagoreans thought numbers were male or female, ugly or beautiful, or had a special meaning.
ReplyDelete1 is the number of reason.
2 is the first even or female number, the number of opinion.
3 is the first true male number, the number of harmony.
4 is the number of justice or retribution.
5 means marriage.
6 is creation ...and so on.
That's important information. The theorem is: for a right-angled triangle the square on the hypotenuse is equal to the sum of the squares on the other two sides. 'Hypotenuse' is the name given to the side that is opposite the right angle.
i thought u knew everything from the article and use it very well. i think that if i was a teacher i would give this A+ work.
DeleteYour response to the article shows that you thoroughly read because you talked about the important developments that Pythagoras made, and his view on his perception on numbers.
Deletei know that pythagorean spent most of his life studying math and he had to follow rude and bad rules and he and they could not never eat meat again and he work and try so hard to eough to learn about numbers
ReplyDeleteI learned from the article was that they believed that numbers had their own nature.For example 1 is the number of reason and 2 is the first even or female number.I also learned that one of the theorems was for a right triangle the square on the hypotenuse is equal to the sum of squares on the other two sides.This was one theorem that i hadn’t known very well and i now understand better after reading this part of the article.I also saw how fitting together two corner teared triangles like a puzzle is the same as right angles.And finally i learned that Pythagoras believed everything in the world could be solved by numbers and this made his school work very hard to prove this.
ReplyDeleteWhat i have learned from the article is that Pythagoras was a philosopher. He had spent is whole life studying math and he had never eaten meat because of the strict rules. He worked so hard to learnt he numbers of the universe,because he thought that the numbers meant beautiful or ugly, male or female. 1. is the number of reason. 2. is the first even or female number. 3. is the first true male number, the number of harmony. 4. is the number of justice or retribution. 5. means marriage. 6. is creation... and there are many more, Something that Pythagoras' school learned that number like 1,3,5,7 and so on are odd numbers and 2,4,6,8 and so on are even numbers but 1,3,6,10 and so on are numbers that represent triangular numbers. And there is also number that represent square numbers. I had also learned that for a right-angled triangle the square on the hypotenuse is equal to the sum of the squares on the two sides. Hypotenuse means/is like the side the right-angled triangle. I had also learned the equation of the Pythagoras theorem a^2+b^2=c^2.
ReplyDeleteFrom the article, I have learned that Pythagoras had believed that all things were able to be explained through numbers. He had opened a 'special' school of strict ruling and dedicated his life to mathematics. Numbers were thought to have their own special nature and meaning.One was the number of reason, Two was the number of opinion, Three was the number of harmony, Four is retribution, Five was for marriage, Six was for creation, and the list continues on from there. We still use ideas such as odd numbers, even numbers, triangular numbers, square numbers, etc. Pythagoras had taught his students his theorems. One of those theorems was the world renown Pythagorean theorem, which has been know to the Babylonians 1000 before proven by Pythagoras.
ReplyDeleteThere was a Greek Philosopher Pythagoras and he made the even and odd number system that we use today. He made triangular numbers and square numbers. He believed the sum of the angles of a triangle is equal to 2 right triangles. The pythagorean theorem is the belief that a right angled triangles the square on the hypotenuse is equal to the sum squares on the other two sides.
ReplyDeleteWhat I learned was that Pythagoras was a Greek philosopher who thought numbers where ugly, beautiful, male, female, or had special meaning. He made a school where its learners had to follow very strict rules. In this school people studied many shapes but were interested in triangles. His theory is that if you tear the corners of a triangle then you can put them back together like a puzzle and then they will make a straight line. The most famous theorem was the Pythagoras theorem.
ReplyDeleteamira haddad***
DeleteI know that pythagoras thought that numbers were male or female and ugly or beautiful. I also learned it is similar to what we use now that is odd or even numbers.
ReplyDeletewhat i have learned from this article is. Pythagoras of Samos is a Greek philosopher who lived from 580BC to 500BC. He believed everything in the world was explained by numbers. we still use some of the ideas they used n school. For example,odd numbers 1,3,5,7,9,11 even number like 2,4,6,8,10,12. Triangular number like 1,3,6,10,15 square numbers like 1,4,9,16,25. 1 is the number of reason. 2 is the first even or female number, the number of opinion. 3 is the first true male number, the number of harmony. 4 is the number of justice or retribution. 5 means marriage. 6 is creation...etc.
ReplyDeleteIts good that you now understand that he think everything was explained by numbers. I found that out too. Good Job!
DeleteJustin Watts This was a very well thought out. This is A+ work
ReplyDeleteWhat i learned from this article is This theorem is named for the Greek mathematician and philosopher, Pythagoras.Pythagoras spent much of his life studying mathematics and formed a special school to worked hard to try to learn enough about numbers to be able to understand the universe.Pythagoras believed that everything in the world could be explained by numbers. Pythagoreans thought numbers were male or female, ugly or beautiful, or had a special meaning.Perhaps the most famous theorem in the world is known as Pythagoras' theorem. It is thought that it was known to the Babylonians 1000 years earlier but Pythagoras was first to prove it.Pythagoras' theorem says that if we add the smaller squares together we should get the big square.
ReplyDeleteWhat i learned from this article is This theorem is named for the Greek mathematician and philosopher, Pythagoras.Pythagoras spent much of his life studying mathematics and formed a special school to worked hard to try to learn enough about numbers to be able to understand the universe.Pythagoras believed that everything in the world could be explained by numbers. Pythagoreans thought numbers were male or female, ugly or beautiful, or had a special meaning.Perhaps the most famous theorem in the world is known as Pythagoras' theorem. It is thought that it was known to the Babylonians 1000 years earlier but Pythagoras was first to prove it.Pythagoras' theorem says that if we add the smaller squares together we should get the big square. The formula for pythagorean theorem is c=a+b.
ReplyDeleteGood job gator,i like it how you mentioned the theorem. You just need to square the letters.
DeleteI like how you did this wrote it nice. But the formula is a^2+b^2=c^2
DeleteLast one it said unknown and idk how to delete it ain popping up
ReplyDeleteAfter reading the pythagoras theorum article I have learned that back then numberrs meant something. For example number one was the number of reason.I didnt know there was square number. I didnt know that there were triangle numbers.I realized that a hypotenuse was the long open part of a triangle. I know understand the pythagorean theorum more and all the details to it.
ReplyDeleteIts good that you understand how numbers work now. And that you learned about the hypotenuse too. I know that you actually read the article.
Deletewhat i learned about pythagorean theorem was there was a greek philosopher named pythagoras. pythagoras created the pythagoream theorem to let people understand the pythagorem theorm nembers was used to understand like the number 1 is to give reason,another number is number 5 means marriage. pythagoras created those numbers so he can understand the universe. he also thought that the numbers were male or female, ugly or beautyful, or had a special meaning.and the wanted people to know that formula for pythagorean theorm was c=a+b. Demetrius baker
ReplyDeletei like the way that you are telling something new to someone, and teaching them new things. like i didn't even know that Pythagorean was Greek. i would say this is A+ grade.
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DeleteWhat i learned from this article is that the Greek philosopher, Pythagoras, had created a whole system of meanings. He thought you could explain everything by using numbers. And also he had a school and they didn't just study numbers they also studied shapes too. I've also learned that they have triangular numbers and that if you add smallest squares together you get bigger ones. Pythagoras grouped odd numbers and triangular numbers together. I've also learned that numbers have meanings, like for instance, the number five means marriage. And number 2 is the female number. And number 3 is the male number. 6 mean creation, and it goes on.At first, I really didn't understand the right angle and i get that its basically 3 parts from the picture i saw in the article.The three parts are a,b, and c. And now i know that relate to a^2+b^2=c^2.
ReplyDeleteGood way to show you have learned from the article. It shows that you have a good understanding of the pythagorean theorem.
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ReplyDeleteWhat i learned from the article that i read is, that the Pythagoras theorem is the study of numbers, mathematics, and shapes. I learned that 1=number of reason, 2=first even or female number, the number of opinion, 3=first true male number, the number of harmony 4=number of justice or retribution, 5=marriage,and 6=the creation(etc).i also learned that there are triangular numbers and square numbers such as triangular(1,3,6,10,15)and square(1,4,9,16,25). I also learned that The sum of the angles of a triangle is equal to two right angles. I learned all of this because of this website (https://nrich.maths.org/2721), and now that i have learned this i can. Also the equation for the Pythagorean Theorem is a^2+b^2=c^2
ReplyDeletewell done lil boy tre' pythagoras did study numbers, and mathmatics.
DeleteThis shows clearly what you learned.You showed it and supported you details. Shows that you know the theorem.
Deletepythagoras also known as pythagoras of samos he was a very intelligent man and who entrested in the subject of math. he also studied it his whole life. Cordellnalls
ReplyDeleteTerniyea Hall
ReplyDeleteWhat I learned from this article is that the pythgorean theorem was created and named by a greek philosopher who live from 580 BC to 500 BC. Pythagoras spent so much of his life studying mathematics he created a school in which his students had to follow strict rules. They had a different point of view on number than we do today. They had married, triangular, square, male and female numbers.All numbers back then had it's own special meaning.
K'la Prewitt After reading the article I noticed some of the things I didn't know and that I learned from this article, here are some listed below. I didn't know that a very long time ago they thought numbers were male or female, beautiful or ugly, or had a special meaning, very unlike what we think today. For example the number 5 meant marriage.Pythagoras helped develop the theory of music. I also didn't know that they couldn’t eat meat if they attended Pythagoras school. I didn't know anything about square numbers i didn't even know that existed. The Pythagoras Theorem was used with babylonians over 1000 and is one of the most famous known theorem. These are things that I learned and didn't know from the article.
ReplyDeleteI Think that this can tell you read this article. Your response is a little bit of and educated summary of this article. I think this is really good.
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ReplyDeleteYou could of have more information and more details of what the Pythagorean Theorem. instead of putting what he did because this doesn't show me what you know just that you really know
DeleteEdwin Vargas: After i read the article i learned that the sum of the angles of a triangle is equal to two right angles. And the that back then the numbers meant if you were a male, female, beautiful, or ugly. That boy Pythagoras was that smart. The Pythagorean theorem is a2+b2=c2. The Pythagorean theorem is a fundamental relation in Euclidean geometry among the three sides of a right triangle. It states that the square of the hypotenuse is equal to the sum of the squares of the other two sides.
ReplyDeletePosterior to reading this article I inquired more knowledge about The Pythagorean Theorem including Pythagoras making important developments in not just math and astrology but also music.
ReplyDelete"1 is the number of reason
2 is the first even or female number, the number of opinion.
3 is the first true male number, the number of harmony.
4 is the number of justice or retribution.
5 means marriage.
6 is creation ...and so on."
The third and final thing a learned was that there is such things as triangular numbers.
I like how you gave an understanding of you learned more about the Pythagorean Theorem. Your point of view of the article gave you a better understanding of hoe the Pythagorean Theorem works. You show how the article gave you a better understanding of triangular numbers. You show how Pythagoras made developments just not from math but music too.
DeleteI learned that Pythagoras thought that numbers had meanings. He opened his own school just to learn about math,music,and astronomy. He said that numbers could be beautiful or ugly.
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DeleteI thought that those things were interesting when I read that. Some people in real life associate colors with months and things like that so that was cool to learn.
DeleteI learned that Pythagoras spent most of his life learning about math. I also learned that the Pythagorean theorem is for a right angled triangle the square on the hypotenuse is equal to the sum of the squares on the other two sides. I also found out that he thought the numbers were signs like boy, girl, ugly, beautiful, and other things. I learned that he made important discoveries in math, astronomy, and the theory of music(?). I also found out he had lived from 580 b.c. to 500 b.c. (so 80 years.
ReplyDeleteIt is very good that you learned about Pythagoras Jose. Very well written. :)
DeleteTeyah (Williams)
ReplyDeleteWhat I learned from reading the article is that Pythagorus though that every number could be a female or male, ugly or beautiful, or had a special meaning to it. I learned that some square numbers are 1, 4, 9, 16, and 25 and triangular numbers are 1, 3, 6, 10, and 15. The Hypoyenuse is the name given to the side that is opposite of the right angle and is always equal to the number of squares on the other two sides of a trangle.
I thought that it was good like when you said that the hypotenuse is the name given to the side that is opposite of the right angle and is always equal to the number of squares on the other two sides of a triangle. The only problem is that you made some simple spelling mistakes.
DeleteWhat I learned was quite interesting. I learned that he believed that each number had its own special nature. For example, 1; the number of reason, 4; the number of justice, 5; the number of marriage, and 6; the number of creation. He also had beliefs that seem odd nowadays. He invented even and odd numbers as well as triangular numbers such as 1, 3, and 6 as well as square numbers like 1, 4, and 9. For some reason he liked triangles. I also learned that a hypotenuse is the name given to the scale that is opposite the right angle.
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DeleteI believe that some of the facts you have given are true, but you need a bit more information to get your point across. You also need to include what the Pythagorean is and how it works.-Stacey
DeleteAfter reading the article on the Pythagorean theorem I learned that he thought that all numbers had there own name. Whether they were they male or female. He also found out that if you cut off one side of the triangle you end up with a right triangle. He also had certain groups of numbers. Odd numbers, Even numbers, and Triangular numbers.
ReplyDeleteThis article has taught me everything about the Pythagorean Theorem. In the article it said that "Pythagoras thought that number were male or female, ugly or beautiful, or had a special meaning. Also in the article the article is said that Pythagoras like to study shapes, but he mainly studied triangles. In the article it said "Perhaps the most famous theorem in the world is the Pythagoras Theorem . It is thought that it was known to the Babylonians 1000 years earlier but Pythagoras may have been the first to prove it.". The article has gave me a better understanding the hypotenuse of the triangle. That was all the things this article has taught me. From Jaquarus Orr
ReplyDeleteLike the way you explained what you learned. I can tell you read the article because you used supporting details to tell about what you learned from this article
DeleteThis shows that you really took some of that information and really use it for your answer. You use the things that had to do with pythagoras also.
DeleteThis article taught me about Pythagorean Theorem. In the article it said that Pythagoras that everything could be explained by numbers. I also learned that sum of triangles are equal to two right triangles.They thought of numbers of male and female.I understand the triangular numbers and square numbers and the way they increase.
ReplyDeletewhat i learn about pythagoras is he spent most of his time learning mathmatics the pythagorean theroem is the study of shapes mathmatics and numbers. i like how kayci talked about the male number and the harmony number in her explanation
ReplyDeleteFrom reading the artice I learned that the Pythagoreans that they thought numbers were male and female,ugly or beutiful, or had speical meanings. I learned that 1,10,and 15 were triangular numbers. I also learned that 9 and 25 were square numbers. The most famous theorem was the Pythagorean Theorum. Also people thought that the Babylonians had the theorum first but it ws actully the Pythagorean. Lastly I learned that if you add smaller squares together that you'll get a bigger square.
ReplyDeleteFrom reading the artice I learned that the Pythagoreans that they thought numbers were male and female,ugly or beutiful, or had speical meanings. I learned that 1,10,and 15 were triangular numbers. I also learned that 9 and 25 were square numbers. The most famous theorem was the Pythagorean Theorum. Also people thought that the Babylonians had the theorum first but it ws actully the Pythagorean. Lastly I learned that if you add smaller squares together that you'll get a bigger square.
ReplyDeleteWhat I learned after reading this article is that they thought of numbers of being good or bad, ugly or beautiful, and man or female. I never thought that back then they would think of numbers like this because I thought they would think of numbers as numbers but also having a meaning. "2 is the first even or female number, the number of opinion. 3 is the first true male number, the number of harmony." I didn't know that 1000 years ago babylonians used the Pythagorean Therom.
ReplyDeleteAs I read this article I learned that the creator of the pythagorean theorem was a greek philosoper. His name was Pythagoras and he thought that the numbers had a special meaning to them.Also he thought that the numbers were either female or male , or beautiful or ugly. As i continue to read i learned that some of the other ideas that they worked on we still learn today in school such as odd and even numbers. Lastly i learned that hypotenuse is the name that was given to the side that is opposite of the right angle.Something that i already knew before i read the article was the formula for the pythagorean Theorem which is a^+b^=c^.
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ReplyDeleteWhat I learned from reading the article was that back then people thought that numbers had their own nature.Number could be considered as male, or female. Numbers could also be considered as beautiful, or ugly. People studied numbers we learn in school today. Such as odd numbers and even numbers. When you take the corners off of any triangle, and put them together you will make a straight line.
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ReplyDeleteKaila Lewis
ReplyDeleteI learned from this article that Pythagroras spent most of his life studying mathematics and even built a special school with rules. In his school they believed that numbers meant something that just counting like 1 means the number of reason, also 5 means marriage and so on, some special meaning to these numbers we never new about. I also learned that some numbers such as 1,3,6,10, and 15 are triangular also the numbers 1,4,9,16, and 25 are square numbers certain different types of numbers are either those two shapes. They have named the long part of any right triangle is called a "Hypotenuse" basically it's the long part everyone is trying to find. a^2+b^2=c^2 is the formula people use to find any right triangle. Pythagoras said if we add the smaller squares it should equal to the big square.
The Pythagorean Theorem. What an interesting topic to write about. Do you ever wonder who created such a complex system of mathematics? Well what I learned from the article given to us was that a man by the name of Pythagoras of Samos created it. He, along with many others believed that everything in the world could be explained by numbers. He also thought that numbers had their own special nature. They also studied shapes. The shape they loved the most was the triangle. They worked on the sum of the angles of a triangle, which is basically equal to two right angels. What this basically means is that when you take the corners of any type triangle, and tear them off it can give you a straight line. Which is the same as two right angles, but to sum the Pythagorean theory up, if you do add the smaller squares together we would get a bigger square, but this can simply be written as: a^2+b^2=c^2 which is the Pythagorean theory.
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