Oh.

I normally hate really short posts on a blog such as ones like this made for longer thoughtful responses. But earlier as I was trying to solo learn a new concept in may with my brother (that he already knew) when we stopped the first thing I'd said was "yeah haha I don't think I should jump ahead like this, my teachers would be more than satisfied if I'd just stay with the curriculum." I said this not out of laziness but out of logical thinking that I wouldn't be able to grasp a concept 2 years ahead of my own grade level without knowing basic fundamentals.

Unfortunately what I had not done was go back and continue the lesson. I really feel I should have but it seems like I'm pretty ahead anyway why kill myself to be the best. So in the end I had felt guilty about not learning something that I had only the slightest grasps of the root of the lesson. And it kind of kills me because I still feel I can learn it.

So out of all of this I extract one message.
"The fastest way to learn something is to not have a way out of it"

So if you want something done, cut out requirements that you will keep honest to yourself.

And also don't try to learn the law of sines without first knowing what a sine itself means.

-Andrew