To unlock this achievement, you'll have to play and clear levels 1-10 in the single player mode. Your rank doesn't matter, you just have to clear all of them. It's not necessary to worry about collecting all of the stars unless you're dead set on completing the game. Unless you start with the multiplayer, this will likely be your first achievement in the game.
Make sure to make all of your movements as smooth and deliberate as possible. Moving too fast will only cause you to fling your Leedmees across the screen instantly killing them.