Got a fair stab at ranked games a while ago, won 7/10 of my games playing support. Landed in Silver 4, exactly where I landed in Season 3. Happy enough, I'll make it to Gold before the season is up. :)
Just set up a progression path that you want, and you'll achieve your goal~ take x-amount of time to reach <insert tier, 3 in your case> and then when you do that in the amount of time or less, take a break so you dont get stressed out or tilt and start on your next climb~
This year I'm going with 1-2 weeks per tier climb. Before the next time period starts, I just play ARAMs or norms with friends so I dont let the toxic nature of this community get to me~ or I play another game and then when the start of my next tier comes I feel refreshed and ready to grind another 5-9 games and back to another break til the next climb~