The page that shows the league standings should show the other games for the league (last result, and upcoming game). When trying to figure out where I would end up, there were two other teams that were of interest. So I would have to get the standings, then click on the team, and then click on games, and then click on the ongoing game.
Ideally, the standings page could show the current score, or perhaps at the end of the Q, or perhaps every 5 minutes. I don't think my browser likes too much game swapping, before it crashes.