Take a quick look at the photo below:
Each accidental has two names, and I'll explain why (technically, even the white keys have two names, but that's another post). Each key, from a white key to the black key next to it, or from white to white key in cases of E to F and B to C, are one "half step" apart. From C to D, for example, would be two "half steps" apart, or one "whole step" (because there's a black key in between them). A black key that is a half step higher than the original white key next to it would be given the same name of that white key, but with a added "sharp" (the thing that looks like a pound/hashtag symbol). So, the black key that is a half step higher than C would be called C Sharp (C#), as shown above. Also, the black key that is a half step lower than the original white key next to it would be given that white key's same name but with an added "flat" (the symbol that looks like a lower cased "b"). So, since C# is also a half step lower than D, it's also called "D flat"... Thus, the two names for the same note.
The same rule goes for the other black keys that come afterwards.
Now that that's out of the way, below is the video that demonstrates a two-octave scale for C Major on piano. If you want to see the tutorial for one octave, you can find it on my youtube channel. Enjoy, and don't forget to subscribe to my channel to stay updated. Also check out my tabs above to learn more about who I am, private Skype piano lessons, etc :-)