Shortcut to maximise to full screen?

Is there any way in which one could open programs in full screen mode without having to find the "little green toggle"? It is wonderful to have a "minimise" shortcut, but alas the opposite seems to be unobtainable.

I am using El Capitan 10.11.1 on a MacBook Air - late 2010 and have recently switched from Windows and am struggling to adapt. I can't find third party software in the App Store that seems to be any good. Is it possible to assign a "hot key" ?