Make sure the sporting event allows firearms, as such events typically do not allow carry.
Our posting laws have recently changed. If it has a gun in a circle with a slash (a "gunbusters" sign) visible at the entry, do not carry there.
As with any traveler, make sure you have a way to lock the firearm up, safely, in your vehicle.
NOTE: In Tennessee, you are limited to the rights of Tennessee permit holders, so if your permit allows carry of a taser, knife, etc., carrying in TN is limited to a pistol.
http://www.tn.gov/safety/handgunmain.htm
State's site on info on permit.
http://www.tn.gov/safety/handgun/reciprocity.htm
reciprocity for permits from other states...
Enjoy!