It would be helpful to know what kind of workout you're looking at (is it track repeats?).  If a coach or somebody gave it to you, just ask them. If it's a published training plan, usually they come with a 'key' or other information explaining what they mean by the different terms. But I'll give you my guesses! Recovery jog sounds to me like an "active cooldown" (just slow jogging, or even walking, instead of stopping/standing) between intervals. Slow jog and cooldown jog sound the same and I'd guess it's simply a slow pace that allows your heart rate and breathing to come down without actually standing still, to keep your muscles working while you're recovering.  A warmup 'jog' would just be an easy pace that gets your muscles warmed up; nothing more. For example, I have a training plan that says to warm up or cool down for 10 minutes before or after the actual workout. It's basically at whatever pace you like, as long as it's gentle. A warmup 'run' might be somewhat faster and more intense, such as before a race or a timed trial or something. But those are guesses, without actually seeing your training plan.