Yes, there are 6 open tones and three checked tones (syllables that end with p, t, k). And while you can say they're different tones since one type is shorter than the other, I think I've only seen one romanization system that uses 9 tone markers instead of six. You have three level tones, two rising, and one falling.
It'll seem a little overwhelming at first, but don't worry, it gets a lot easier the more you practice! Stick with it and you'll do fine. :)