Students,
Changed from last week: Blocks A and B:
Please visit the following for practice on Pythagorean Triples:
http://www.mathsisfun.com/pythagorean_triples.html Read , take notes and answer 10 questions at end.
Block C:
Please visit the following for practice on our current trig topics:
http://mathbits.com/MathBits/TISection/Trig/unitcircle.htm
Blocks F and G:
Please visit the following for more practice on polynomials.
http://www.regentsprep.org/Regents/math/ALGEBRA/AV3/BinJava.htm
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15 comments:
Hi it's Thomas Moylan from C Block. I was talking to my cousin, Philip, who goes to middle school in Middleton. Right now, he is taking pre-algebra and learning how to graph lines and shapes in degrees. Although, I couldn't use advanced words such as radians or SOH CAH TOA, I tried to explain how other units can be used to measure angles. Together, we did a problem and converted 60 degrees into 1.047 radians. He didn't see a purpose in converting it, but thenI explained how you could measure the temperature in fahrenheit and celsius. Both are useful but in different ways.
Hi it's Emma from B block. I did the homework from this website and the homework you gave us in the book and I don't understand how they connect. In class and in the textbook we are working on circles and the different parts. How does Pythagorean triples come into play? Is this just an extra thing that we aren't going to be tested on or is it used with circles somehow?
Hi, James from Block B here. This pythagorean triple link was very helpful for building and understanding of the concept. I was very confused during class, but this explained what the triples were and why they are important. I followed the second link to "Advanced Pythagorean Triples" and found more on constructing pythagorean triples. I found it very interesting how algebra and geometry came together so well here. The use of systems of equations to solve a right triangle problem was very cool.
Paul Chong (A Block):
I remember learning about Pythagorean triples before, but that was before learning about triangles and their properties. In retrospect, learning the concept then wasn't nearly as useful as it is now, as I can use it for so much more now. I can solve special triangles and other problems involving triangles using the Pythagorean Theorem and the Pythagorean Triples. Re-learning a different way to solve triangles definitely helps when you're stuck on a problem, because you can try different ways to solve it. I also found it interesting how the Pythagorean Theorem is directly tied to sine, cosine, and tangent, yet you can use them separately to solve problems.
Hi,
This is Elizabeth from A Block. I think that the Pythagorean theorem is really useful when trying to find an unknown side of a right triangle. The Pythagorean theorem is great to use when the right triangle is not a special right triangle or you don't have enough information to use SOH, CAH or TOA. I do wish that the Pythagorean theorem worked for all triangles and not just right triangles, because of how simple and easy it is. The website http://www.regentsprep.org/Regents/math/ALGEBRA/AT1/PracPyth.htm is great practice with the Pythagorean theorem because the problems help you understand better and it gives an explanation for why the solution is correct. As I did some research, I learned that the Babylonians understood the Pythagorean theorem 1000 years earlier than Pythagoras, but Pythagoras was the first to prove it.
Hi it's James Soucy from A block. I thought this was really cool because I remember learning the Pythagorean Theorem in elementary school and thinking it was pretty cool, even though we never used it or did much work with it. I did the ten problems and I was interested especially in the table of Pythagorean Triples and how big the three numbers in each triple could get, but with a squared plus b squared still equaling c squared.
This is Gabrielle from A Block. I was amazed at all the triples- I only knew about the (3,4,5) and I wasn't even sure what that meant- and I didn't know that to create further ones, all you had to do was scale the original one up. Personally I prefer Pythagorean Theorem to trigonometry and special right triangles because it's simpler and more fun. Even when I first learned it in seventh grade, I liked it. I thought it was a useful formula and I knew I'd be seeing them again.
Hi it's Chloe M. from Block A. I have always thought that the Pythagorean Theorem was a very useful tool. I first learned about it in 8th grade when doing Algebra, and it has always been my go-to method whenever solving for triangles. I had never learned about the triples, though, and now that I know about them they make using the theorem so much easier! It really simplifies the process when you know that you have a set of triples ready to use. The Pythagorean theorem is an essential basic of math, and I'm glad that we're still able to use it in geometry.
Hi this is Aaron from Block C. I just looked at these problems and it immediately came back to me. I remembered this unit and its plethora of uses both in the math world as well as in the real world. Actually just last night i was talking to my brother about some trigonometry problems ans the easiness in which you can solve them with the proper equations.
Hi this is Aaron from Block C. I just looked at these problems and it immediately came back to me. I remembered this unit and its plethora of uses both in the math world as well as in the real world. Actually just last night i was talking to my brother about some trigonometry problems ans the easiness in which you can solve them with the proper equations.
Hi it's Claire Walsh from Block A.
After reading about Pythagorean Triples on the website, I saw that it didn't give a very developed backround and I wondered how someone could come up with seemingly 'magic' numbers that match perfectly in those right ttriangles. So, I looked up Pythagoras who was an Ionian Greek mathematician and philosopher. He even influenced Plato, a very well known philosopher, and all of Western philosophy. One thing I found particularly interesting was that Pythagoras had a religion that he founded called Pythagoreanism. I had never known that a math thing shared names with a religion(even a dead religion.)
Hi this is Matthew Vallis from B block,
When we were in class today being taught about these Pythagorean theorems I sort of understood what we were talking about, though I was very solid on it. Now with this website I can check my answers for some good review problems. I like how it explains to me what I got wrong too so I know what to do different next time. All the problems with 1-20 I could do in my head too because we had memorized the squares of all those numbers earlier in the year. At first the problems with the variables were tricky but then I applied common algebra knowledge and figured it in no time.
Kyra McDermott from Block B
I understood what this post was trying to teach me, but I feel like there has to be another way to find out whether or not a set of numbers is a Pythagorean Triple. If the only way to figure it out is doing out the theorem, I don't exactly see what new information this post has taught me. I am worried that I am missing the big picture of what the website is about.
Hi this is Jackson from A block. The Pythagorean Theorem is quite fascinating to me. It is unbelievable that Pythagoras, the man credited with discovering it, could figure out and see the relations in these triangles. Over 2,000 years ago, discoveries in mathematics were first being made. It is cool to see the connections on how we still use and learn ancient methods. It is one reason math is so fascinating. For example, science classes are mostly based of recent discoveries as technology advances. Math however opens a new world to human history and we learn not about just recent discoveries, but discoveries from man-kind of all time periods.
This is Cynthia from Block A:
These were interesting.
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