For the "traveling waves" which really covers a wide range of topics such as light and optics, as well as wave equations you should know that for an EM wave Energy = h*f where h = planks constant and f = frequency. You should also know that the speed of the wave is dependent only on the medium. Also, when a wave moves from one medium to another, the speed changes, but the frequency does not. There's a lot more, but those are the main concepts.
The standing waves are much simpler. You just need to know that standing waves are a special case where a wave traveling in a closed or open situation seems to "stand still," because the nodes are the same as the wave travels. Even if you don't know the concept, you should memorize the 2 equations relating the harmonic wavelength and the length of the pipe or rope where the wave travels.