I love your powerpoint explaining the different routes taken to solve trig equations, Mrs. McG. However, as soon as I saw it, I thought “I could make it even better with a Cmap!”. I don’t guarantee anything, but I think you will agree with the results. Hopefully it will be integrated in your powerpoint for everyone to see next year!! 🙂
For everyone else… let me know what you think in the comments, and let it be a review/memory aid for you!
If you knew how many hours I have spent working on this, I would probably get a 200% mark on my project. Here is a visual outline of the history, applications, ideas and concepts behind fractals. In case you don’t know what fractals are, it is a visual representation of all the points that belong to a certain equation. The results are breathtaking, in the case of the Mandelbrot Set, you have multicolor beautiful geometric patterns that can be zoomed to infinity where you will see eerie self similarities. I won’t go into the details here, to learn more, simply read my other posts on my blog. But your best bet is to simply follow this outline. Enjoy… and try not to overload your brain with information!
At a given temperature, a certain equilibrium reaction will always have the same ratio of products and reactants, and return to that ratio should the concentrations change. This happens by either more of the reactants reacting into products, or the products breaking down into reactants. This ratio is normally called Kc, and can be found by taking the concentration of each of the reactants or products and raising it to the power of the number of moles of that chemical. Then, set Kc equal to the concentration of the products raised to the power of moles, and multiplied by each other, divided by the reactants raised to the power of moles and multiplied by each other. Like so:
Given the Kc, this equation can also be used to find some of the concentrations.
This is my “mind-map” of the history and properties of the Haber Process, amazingly laid out in CmapTools. For anyone who does not know what that program is, it allows you to make just this, beautiful, colourful, lovely visual outlines of complex information, making it easy to follow and understand. I actually heard about this software from my dad, who is using it for his degree in education, and I love it! It allows me to take all of the amazing, wonderful thoughts flying through my brain, and write them all down in an intuitive, logical, and quick way. Because you know, there are so many wonderful thoughts in my head that would have remained unspoken (ermm, unwritten) had it not been for this. Oh, and… its free!