To unlock this achievement you will need to beat the fourth mission called "Cowabunga Carl Getaway".
This level is pretty heavy on platforming and heavy on using your newly found special ability. The trick with your "Nunchuck Floating" ability is to do a double jump it the direction you want to go and then use the special ability. You will know when to stop using it when you see your shadow on the object you want to land on.
The level also has more intense fighting areas but still should pose no problems. There is no "boss" fight to speak of.
You will also unlock the achievement "Used Mikes special move" early in this level. Master Splinter will tell you when to use it.
Below is a video walk through for your viewing pleasure!