Yes, thats a much better idea, but dont use only 1 rm maxes, use doubles and triples as well. fwiw, this works very well doing it every other day too, depending on how well you recover, some guys make better gains going to a max (1,2,3) every other day, than they do trying to lift every day. If youre going to be playing a lot of basketball and jumping a lot, this will likely serve you much better.
One other thing is, if you ONLY work up to the rep max, make sure to take plenty of ramping sets on the way to the max, if you are going to hit the max, then do a few back down sets of 2's or 3's, then get to the max asap, then get the extra volume in the back down sets. On days youre feeling very energetic and rested, the second method will be better, on days youre not, simply working up the max and stopping will work well.