More on Pythagorean Triples

Geometry Students,

There's one more link I'd like you to do.  Make sure it says ADVANCED at the top.  Please read, take notes on Euclid's proof, and try to appreciate the unbelieveable combinations.  Learn the equation for forming triples. Make sure you know the most common Pythagorean Triples from the previous link.
At the bottom of the link are 3 questions.  Please do those too.

http://www.mathsisfun.com/numbers/pythagorean-triples.html

Finally, Be sure to provide a "value added" comment either on the work we've been doing or built off of a fellow student's comment.  Here's a thought:  the graphic in this post is determined by Pythagorean Triples.  Try searching on math, art, Pythagorean Triples and dig a bit under Google Images.  Find out how this is built and comment.

You are doing a great job.  I read your comments daily.  Keep it up!

Extra Problems for Classes

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

Geometry, Architecture, and Declaration of Independence?

,
Students,
 
Math, philosophy, architecture and the law have been intertwined since the ancient Greeks.  It is only in modern times that we see such disciplines separated out. 
 
I want to expand your horizons.  I hope to build your curiousity.  Let's start with the following ... feel free to go on from this site and keep exploring the topic.

http://www.nps.gov/nr/travel/presidents/jefferson_poplar_forest.html

Then, build some thoughts and make a contribution by adding a comment, as discussed in class.  Because I know it can be hard to write a comment that adds value to the discussion, consider using one of the following to get started:

• I didn't realize that .....  it makes me wonder if .....
• If I werew assigned a project on this topic, I would want to further investigate...
• Other websites I find helpful to this topic are.... The reasons are....

Enjoy, dear students.  Remember:  "A mind once open to a new dimension never returns to its previous size."  ~ Emerson

Block C PreCalculus and the Unit Circle

Students,
As we study the unit circle please know your time and dedication to this topic is very well spent. The Unit Circle is one of the big building blocks of Trigonometry, our focus in Q4.

• Be sure to use resources I have posted for you under Links on our EdLine page.  For starters, here is our friend Patrick from MIT with some succinct help     http://www.youtube.com/watch?v=cIVpemcoAlY
• Also by writing comments here, you may share your questions, answers and resources to help others.  Be sure to do so.

This Small Planet

"For in the final analysis, our most basic common link is that
we all inhabit this small planet.
We all breathe the same air.
We all cherish our children's futures.
And we are all mortal."     
                                            ~ President J. F. Kennedy, 1963.

Groups 'n Proofs

Freshman and Formal Proofs

Let's face it ...proofs can be difficult at first.  But, by now, students are really shining, beautifully writing complex and elegant proofs.  And to think...eight months ago, you did not know what a proof was!  Keep up the good work, students!

Essential Question:  How does the structure of a proof in Geometry reinforce its purpose? Please comment and give specific examples from recent parallelogram, trapezoid and kite proofs.



Colin, aka Co-llinear, Brown teaches Block B a tricky trapezooid proof.



Colin's classmates in Block B.

Boston Day at RMHS

Some Precalc Students from Block C

~ April 26, 2013 ~

Boston Strong.  RMHS Strong.  Room 203 Strong.