Monday, 13 February 2012

Waves, waves and more waves!


In the voicethread on cos and sin functions, we learned all about properties of this wave-like function. I guess that's yet another way we can relate math to nature and our surroundings! Maybe next time I'm out swimming, I'll think about the amplitude, the period, the frequency and the l.o.o. of the waves about to crash over my head. Hahaa - never know! Hey, I wonder if surfers ever think about the math behind the waves...

Wednesday, 25 January 2012

IA

Because I am an extremely indecisive person, I think I have changed my mind about the topic of my Independent Assignment close to 10 times( poor Ms. McGoldrick). HOWEVER, I have finally chosen architecture, since I have loved building model houses, whether they were made of Lego, Popsicle sticks, or even paper, since I was little. I plan to use several elements of math such as geometry, Pythagorean theorem, proportions, supplementary and complementary angles, metric relations and much more! Does anyone have any suggestions for what my model should look like??




Tuesday, 24 January 2012

 I was on youtube the other day and found this funny video a school in Ohio made on exponents. The teacher in the video reviews the product rule (<a href="http://www.codecogs.com/eqnedit.php?latex=x^m * x^n = x^m*n" target="_blank"><img src="http://latex.codecogs.com/gif.latex?x^m * x^n = x^m*n" title="x^m * x^n = x^m*n" /></a>), the quotient rule(<a href="http://www.codecogs.com/eqnedit.php?latex=(x^m)/(x^n) = x^m-n" target="_blank"><img src="http://latex.codecogs.com/gif.latex?(x^m)/(x^n) = x^m-n" title="(x^m)/(x^n) = x^m-n" /></a>), the power rule(<a href="http://www.codecogs.com/eqnedit.php?latex=(x^m)^n = x^m*n" target="_blank"><img src="http://latex.codecogs.com/gif.latex?(x^m)^n = x^m*n" title="(x^m)^n = x^m*n" /></a>) and the negative exponent rule(<a href="http://www.codecogs.com/eqnedit.php?latex=x^-m =1/(x^m)" target="_blank"><img src="http://latex.codecogs.com/gif.latex?x^-m =1/(x^m)" title="x^-m =1/(x^m)" /></a>). Voila!
 


After watching the video Ms. McGoldrick posted about the Fibonacci sequence of numbers, my mind was blown. How can math be so mysterious and amazing at the same time?? How can so many things in nature have spirals that are formed using the Fibonacci sequence:
0+1=1
1+1=2
1+2=3
2+3=5
3+5=8 ... CRAZY HUH?
Turns out, the Fibonacci sequence is named after Leonardo of Pisa. Although he may not be as famous as the other Italian Leonardo, he is still a pretty cool guy! The "Golden Ratio" has been found in architecture, economics, music, aesthetics, and, of course, nature. I guess that means math really is all around us. Feast your eyes on these wondrous examples: