Possible ideas for more IP opportunities

I've been reading a lot of posts lately about how bad the IP gains are and how hard it is to attain enough IP to get champions, runes, rune pages, and etc. While increasing the amount of IP one gains per game might pad the problem, I have an non-revolutionary idea that might help. A lot of mmorpg games have daily quest systems that are built into the game for people to get special currency, experience, and what not. While league has something similar with the First Win of the Day, I think Riot could go much further with this. Similar to the three quests that are given when you play HearthStone, I propose an idea where players have the opportunity to gain IP for doing certain tasks.

Some really quick ideas that came to mind were having to play "X" champion from the free champion rotation. Make it so it's randomized based for each player so it doesn't become everyone trying to fight over one champion. Other ideas were playing a certain game mode, being a part of first blood, get 5 dragons, or something silly like use taunt in game after you kill someone.

These quests would be implemented only in normal/bot games. While more lucrative IP gains might be found in playing one ranked game and winning. As to how much IP should be given, I'm really not quite sure. I'm open to ideas but something along the lines of 500 per quest doesn't seem too crazy.