OK...you're on the right track.

Here's the general Rule of Thumb: If it doesn't move.....Aperture Mode
If it moves..............Shutter Mode
Subject to change with circumstances, depending on what and where and how you're shooting.
Also, the Golden Triangle of Photography - Aperture, Shutter Speed and ISO - will also come into play. Learn about that first, and some of the rest will come much easier to you.
As to your original question...which would I use for sports? Hockey (fast moving)...shutter mode. Tennis...same. Baseball......hmmm. Are the players moving or standing still at the bases? If moving...shutter. If not moving...Aperture. See what I mean about the different circumstances?