I'm in the 11th grade. At the bachelor exam, my main focus will be on mathematics and informatics.
I'm a hard working man, but due to the school norms, I can consider myself idiot at math. Why? Because the math that's studied at school is rubbish. It makes you reproduce, and not think. I'm also tutored at math, but with the same results.
I want to go on the same way I went with informatics, and this is by learning in private, alone.
Could you recommend me some books that can help me understand the whole high-school curriculum? A book/books that takes me from the very below (9th grade) till 12th grade?
These books by Gelfand - an outstanding mathematician - who also wanted math taught correctly are excelent:
Algebra
http://www.amazon.com/Algebra-Israel-M-Gelfand/dp/0817636773/ref=sr_1_1?s=books&ie=UTF8&qid=1383230077&sr=1-1&keywords=israel+gelfand
and Trig
http://www.amazon.com/Trigonometry-I-M-Gelfand/dp/0817639144/ref=pd_bxgy_b_img_y
similarly for geometry by Kiselev
http://www.amazon.com/Kiselevs-Geometry-Book-I-Planimetry/dp/0977985202/ref=sr_1_1?s=books&ie=UTF8&qid=1383230284&sr=1-1&keywords=Kiselev%27s+Geometry%3A+Book+1%2C+Planimetry
These are all very math oriented, along the lines of what you are looking for.