In DOTA2 you no longer start with all the game modes unlocked. Is there a chart somewhere that indicates at which levels you unlock Ability Draft, All Random, Random Draft, etc? I've googled around and can't find a specific answer for any of those modes, much less a comprehensive table or list. (I'm assuming the unlocks are based on the meta-game levels, but I guess it could be games played, total wins or some other criterion.)
Taken from the table here. Things like wins, games played, etc. don't factor in, so if you really want to jump through the levels, you can always grab a battle booster to get through them more quickly.