Magic of C O N I C S

Well this is my creation from Geogebra using
C O N I C S! .. Not the best, but I think i'm pretty close :)

By the way.. just in case some people don't know what my creation is suppose to be, it is Pikachu the pokemon! ahahah

Here is my concept map IA session 6 :)

IA Session 6 on Prezi

IA Session 4/5

My FINAL research questions;

How can math be used to improve ones performance in hockey?

source 1:

Being as I play hockey myself, I have taken time after practices to time,
measure, and calculate exactly what i do, so I can use this information later on
when i will be putting my IA together.

source 2:

i already know what to do and not do during a game, but my coach helped clearify what exactly it is to take a GREAT shot in hockey. He has given me a lot of insight of how hitting the ice in different spots will affect how high or low the puck will go, or how pointing your stick exactly where you want it, will affect where the puck will go as well. All these little things he has told me will be great help for my IA!

source 3:

Of course, the internet has aloud me to learn about hockey in ways i never knew would be related to math!

source 4:

My more experienced friends who have been hockey for nearly their whole lives have given me more information about my subject as well. For example, one of my friends actually took the time to calculate where she was most accurate on the ice for making goals. she took 50 shots from 5 different angles, and then calculated where she was best out of the 250 shots she took, then applied that to her next season! She based her whole season on what she discovered with math :)

Le Chatelier's Principle!

So when we starting learning about Le Chateliers Principle, there were 3 main factors that affected the equilibrium state of the reaction; can you guess what they are?


... Temperature, Pressure & Volume and Concentration!

Let's start with temperature!

increasing the temperature will favor a reverse reaction, causing the reaction to be
endothermic!

decreasing the temperature will favor a forward reaction, causing the reaction to be
exothermic!

E A S Y!

Now moving on to Pressure & Volume!

If increasing the pressure and decreasing the volume, the reaction will favor the side with the less moles (or less volume)

If decreasing the pressure and increasing the volume, the reaction will favor the side with the a greater amount of moles (or greater volume)

nothing too hard :)

Last one, concentration!

If you remove a reactant from the equation, it will favor the reactant side. (left)

If you add a reactant to the equation, it will favor the product side. (right)

If you add more product to the equation, it will favor the reactants side. (left)

If you remove a product from the equation, it will favor the product side. (right)


Now you know all what these is to know about these 3 factors :)

Chemistry, Haber Process!

Haber Process on Prezi

Trigonometric points !

So to know all the trignometric points in a circle,
we need help from the BIG SEVENTEEN!

<--- here it is :)

Now lets begin with the simplest points, 90° !

Since we know, all the radii are the same, x will only go as far as 1! same rules apply to y :)



So let's start with 45 ° !

1.Start by drawing out a triangle that connects the origin + point on the circumfrance of the cirlce + a vertical line that drops from the previous point.
2.Next, we can say that both angles besides the right angle which is 90° , are both 45°(180-90-45 = 45° )
3.Since both angles are equivalent, this must be an isosceles triangle ! OMG!
4.From this new information, we can say that both sides must be equal right?!
5.Also* the hypotenus must be 1, since all radii equal one in the unit circle!




Then using PYTHAGORAS THEOREM, we find X AND Y :D!!

So continue this whole first quadtrant!


PS. If you know all the points for the first quad, you know everything else as the all the points in the second quad are the same, just X becomes negative!

VOiLA! The second quad!

Here is the final product!

So if you notice, all the points have pretty much the same numbers, just rearranged differently, and are sometimes negative or positive!


Goodluck memorizing this ! :)

Logs!

Well this was what we did last week, but better late then never!

During the several voicethreads we had to listen to i learned how to:

Find the inverse of a log function
Actually find the rule of a log function.. which to be honest i thought was going to be difficult!
uh, finding zeros and intercepts and the H ( the asymptote )
Oh, and using log functions in word problems, although I'm still rusting when doing word problems ahaha.


So, as of thursday I am waiting impatiently for my LES results! Hope i didnt fail aaah :S


Enjoy this rage comic aha