If you are really interested in chemistry buy some of the starter text books listed on the good chemistry books threads.
This is the best advice DarkLightA. The internet may be free, but the information is largely fragmented, and it is not as helpful as reading and working through a general chemistry book that is designed to take you through the subject step by step and build your knowledge in the proper way. I know that there is that feeling that your teacher isn't providing for you and there may be a bit of that youthful rebellion in you that if you have to teach yourself, you might as well throw out *all* authoritative sources on the issue. However, you *do not* have to reinvent the wheel. Working through a good introductory book will help you build a workable knowledge of the subject that is consistent with the way other people are being taught.
Having a knowledge base that is consistent with the way others are being taught is *extremely* important in chemistry. Without it, we simply can't communicate with one another. My main criticism of your teacher's equations is not that they are inaccurate (his equations ARE still accurate in an empirical sense), but rather that this is not the way people are being taught how to write an equation. So people that learn it your teacher's way will be isolated from the other chemists and won't be able to share ideas or build future knowledge in a useful way.
If you want to just make up new rules as you go (like these formulas you are working on), I predict that you will end up just as off base as that teacher is some day, and is THAT what you really want? To become what you are criticizing? (Ooh, it's so Luke Skywalker and Darth Vadar like!). So get a book that conforms to accepted standards and work through it
The closer you adhere to the standards and rules in a standardized chemical text the better off you will be on standardized tests, on coursework in future classes, and in future correspondence with other chemists. Trust me on this. I know that youthful rebellion boils in you, but modern science is no place for lone rangers...