Ape Out

To get this achievement, you have to beat Adrift, the fourth level. There are 7 stages total, 3 on Side A and 4 on Side B. When you pass through green doors, it's the equivalent of a checkpoint, which is at each new stage. I've listed the name of each level below:

Side A
Hold Fast
Rough Seas
No Quarter
Side B
Hit the Deck
Abandon Ship
Wreck
Outro

If you die, it will show you a map of the stage. The overall map stays relatively the same, but some small things may change in the layout of pillars and such. Try to map out the path you want to go after you've died to finish the level. It should be noted that dying doesn't affect this achievement.