Also, listen to recordings until you can hear it so clearly it feels like you have the recording on - and decided if you want to play the pieces or if it is just an assignment. The dedication to the piece will only be there if you want to play it - and it will take some work.
Learn the main scale and arpeggio sections from memory first. Practice slowly and carefully until you feel secure. Then, push your speed limit to just beyond what you can deal with. Then, go straight back to a comfortable speed and work on clarity, accuracy and other technical aspects that will be evident by trying to play fast. Repeat the process. You should find that the comfortable speed gradually increases until one day you realise you are playing much faster than you ever thought you would or could.I find the keys are memorising, pushing the limit so that technical problems become evident that are not present when playing slow (sometimes very different techniques are needed) and nurturing accuracy. Give yourself time - it might take weeks or even months, but give yourself a realistic chance and I am sure you'll be surprised and encouraged.