EDM will work to your advantage in this situation. I wouldn't worry about it at all. EDM works on a spiral curriculum, and our school found it very easy to compress the content of two years into one by merging different rings of the spirals. The teacher can introduce the concept, and instead of quitting after the basic introduction at the 2nd grade level, can then present the 3rd grade version at the same time.
We also found that my DD naturally inferred the next rings of the spiral to the point that I suspect she would have been fine without grades 1 and 2 after doing EDM for K.
There's not that much weird vocab in the EDM pre- and post-tests, just in the curriculum itself.
