First off, I wonder, what is the reason that your mom is going now, and wants you to go? Is there a reason you can't wait until June to go? If it was just the time, I think it's rather selfish of your mom. If there was no other time to go, then there was no other time.
Your about what, 16 or 17, being a junior? Think back to when your 8. What sort of stuff do you remember? You remember the fun times, you don't remember the pain of having to make up a weeks worth of school work. 10 years down the road, when your 27, you won't remember that extra work you had to put in, even if it sucks for a week. You will always remember your trip to Hawaii. if going to Hawaii or staying home was the difference in making Boston University, I'd say stay home.
If your that worried about it, you can probably talk to some of your teachers ahead of time. Tell them that your going, and you'd like your work. If you focus on school work for the flight there and back, you could put in an hour of studying in the room a day, and you likely won't even be that far behind when you get back. Even if it takes a day or 2 of killing yourself to catch back up, it's so worth it.