Originally posted by magic.pill @robjmitchell, I dont shoot in "green" mode. :-). Mostly I shoot in P mode, since I consider myself a beginner. I tried out to play with shutterspeeds in M mode. But as much as I can remember my camera does not trigger flash with shutter-modes faster than 1/160. I will look out for those "slow speed sync" modes.
"slow sync" is the other way, longer shutter speeds like 1/60s, 1/2s. 2seconds, etc. These let in more ambient light relative to your flash.
"High-speed sync" lets you break the 1/180th barrier, this will help kill the ambient light relative to your flash. This usually isn't a huge problem indoors, the ambient light is generally low enough that it can be knocked out with a stopped down aperture and low iso. Provided you aren't in a cavernous room with black ceilings, you can usually take the ambient down and let the flash do the heavy lifting. It depends on many factors though.
ps. you should have no problem with 1/180th sync in any mode, you'll need to change your EV steps from 1/3rd to 1/2 to make this shutter speed available, or use the "x-sync" setting on your mode dial. It's not vastly different than 1/160th though, but is still a little faster.