Most kids save their worst behavior for around their parents because their parents are safe. Their parents will love them and not abandon them regardless if they misbehave. Parents are often dismayed to learn that their child is an angel at school and feel like something must be wrong since their behavior is much worse at home. However, it's normal for kids to "hold it together" at school or someone else's house and then have their meltdowns at home.
Jake did just the opposite - he behaved wildly when his parents weren't around but was well behaved when they were around. Jake's behavior indicates he has not internalized his own reasons for behaving appropriately. He probably behaves appropriately at home due to the consequences of misbehaving. The problem is that it only works well if his parents or someone else is around to administer consequences.
Ideally Jake will learn to regulate his own behavior regardless of whether his parents are around or not. When the only reason kids have for behaving is to avoid punishment, they need to be policed to stay in line. Using a parenting approach that helps Jake learn from his mistakes rather than just learn to avoid being punished will help his behavior improve away from home.
