It's the same idea, just different excecution.
Trap - The shooter stands behind the house (kind of a mini-bucker with the trap machine chucking out the dommed clay pidgeons) at one of 5 posts. The posts are arranged in an arc of about 90*. The shooter attempts to shoot 5 birds at each post, only firing once at the bird. The trap machine ocsolates at back and forth, so the birds are comming out of the house at a different spot each time. So, a shooter pulls the trigger 25 times at each house. Coincidentally that's a box of shells. A round of trap would be shooting at 25 birds on 4 houses, or at 100 birds.
Skeet - Similiar to trap, but the shooter has the birds comming from both the house, and also stands aranged around the house. So the birds can come from behind, above, on the ground... this sounds like what you've shot. I've only shot a couple rounds of skeet, so I'm not that familiar with it.
Sporting Clays - Shooters are on a course, and it more simulates hunting. At each shooting station the shooter is presented with a different type of bird flight. It's quite a bit of fun, some people have called it golf with a shotgun.
You get to shoot through gaps in trees, or in open fields, ect...
