Maybe Next Time
In this game you have two goals: put numbers in order, and stop on a high value.
When you draw a number, put it in the ladder - you won't be able to move it later! If you draw a number with no space, put it to the side.
When you feel like you've got a high value, hit stop. If your current number is bigger than the next, score points equal to how many numbers you have in order in the ladder.
The trick? How big the numbers can get changes from round to round!
Two examples below the game.
(Working on this game with Joe Schwartz. Feedback requested!)