I have been in exactly your situation and cringed as well
If your intention is to complement the overhead light, you want to try and match colour temps. In the industry (I owned a company manufacturing for the film industry, and we maintained our own in house studio) this is normally done with gels (basically coloured plastic sheet) on older lights, but you can get close enough if you have an idea of the current lights colour temp (just look at a bulb and look it up if you can). That may not be practical in a basketball court. We won't talk CRI here, but cinema/stage lighting (at least the good stuff) will be high CRI.
In our studio we used quite a few lights, but our goto were Profoto HMIs which run about $6K per light. My studio guys would spend nearly about as much time setting up lights for a shoot as the shoot itself...sometimes more if I let them

Cinema/stage folks treat light like an artist would create a painting. You can quickly descend into a rabbit hole if you go there....
If you want to really take things up a notch, make sure the lights can be dimmed, and that filters (gels) and/or diffusion can be attached to them if needed. Inexpensive gels and diffusion sheet can be ordered up via Amazon. Just some clothes pins and frames will do the trick as heat won't be an issue at the face.
As to
@cybrdyke 's comments, ya, stage and studio lighting is a highly specialised undertaking, but I see no harm in you playing around to help...particularly if you do a bit of research first. If you give the kids a few dimmable lights, diffusion and filters, they may just surprise you with with what they do with them.
You may find that just small LED lights (very low power) on the
students' light stands (to brighten up faces) will be all that you'd need. That light can be bounced off their music sheets if the light mounts are forward enough. Either way, overhead lighting in a gymnasium is going to be pretty hard to work with.