How to ask a girl, if she want's to dance?

There's this ridiculous tradition at my school, where everyone has to dance for a couple of lessons, every day for a week. It's pretty common to have a dance partner ready, instead of waiting around till the dancing begins. It's tomorrow and i have a very short time period to ask someone. Which way is the easiest, or most efficient? I really don't wan't to be rejected...

Tips and Exercises:

1. The turnout requires a flexible hip joint and it also requires the muscles around the hip area to be limber as well. Stretching this area as much as possible will certainly help your turnout. A center split with the stomach to the ground, is one at their maximum turn out stretching potential. In order to get to this point, holding a stretch in this manner (but only as far as is comfortable for your body) will help. After achieving this stretch position; roll all the way through and bring your legs back to a turned out position with the feet together in a flexed position. If you put in your time, and do these stretches daily, for at least a half-hour to an hour, then your turn out will inevitably improve.

2. Think of the center line of your body; imagine every muscle pulling outward, and being turned out. This energy and mindset can guide your body to stay in the form that will maximize your turnout and ultimately, your techniqué.

Your bone will actually be rotated in the hip-socket. Imagine your rotated bone, your socket and the tendons attached; imagine the rotation constantly.
Imagine your body energy as two fields, with each energy field on either side of your center. Picture both stretching outward into a line of eternity. Imagine this pull and exude it.
Think of your energy shooting down through the floor while you pull up. This gives the mind a feeling of defying gravity. This energy shooting downward will improve your balance in turnout.

3. When stretching with your foot at the barré, or doing an extension, make sure your hip is rolled down and isn't lifted whatsoever. A lifted hip can ruin a good pirouette and any other basic ballet move. This must be constantly attended to during all barré exercises, especially rond de jamb, grande battement and fondu.
A turn out at the ankle can maximize the look of a better turnout than you actually have. This must only be used on the lifted leg in adagio. Do not use it on the leg that you put weight on.

I want to learn how to tumble but I don't know where to go. I live in NYC so preferably someplace in New York or New Jersey would be great.

Russian Pointes probably just fit your feet better for whatever reason. Fitting pointe shoes is so specific, I've had shoes in the past where they fit properly, but were hard/painful to dance in. And then I've had shoes which feel like they fit my feet perfectly.

Since there are so many small differences between pointe shoe brands, and types of pointe shoes within a brand, and of course difference in people's feet, it's hard to say exactly why the Russians are better for you. But whatever the reason is, stick with the Russians, since you like them!

First of all, you shouldn't be walking on your toes without pointe shoes. Even if you have really strong ankles, going up 'en pointe' without pointe shoes is dangerous, and it's too easy to injure yourself.

Secondly, you don't want to curl your toes. When you point your foot, you want the point to come from your ankle primarily, with your toes just slightly pointed. Curling your toes is something to be avoided, you want to keep your toes pointed but straight.

If you want to improve your feet strength, start working with a theraband. Therabands don't just help with ankle strength and flexibility, they also help with foot strength. For your toes, try the toe swapping exercise.

Toe swapping exercise: Have your foot lie flat on the ground, with your weight equally distributed over your whole foot. Lift your big toe, but try and keep the other 4 toes down. Once you've lowered the big toe, try lifting the other 4 toes but keeping the big toe down.

It might take a bit of practice to get used to it, but it will definitely help.