The scale that I am going to be teaching you today is the B Flat minor melodic scale. Like all melodic scales, this one changes the notes as you come back down the scale. The notes on the way up are B flat, C, D flat, E flat, F, G, A and back to B flat. Following the B flat, you begin to walk down with the notes A flat, G flat, F, E flat, D flat, C, and back to B flat.
The fingering for the right hand begins with the second finger on the B flat. The thumb comes under to hit the C, then the second and third fingers hit the D flat and E flat. The thumb comes under again and hits the F. The scale climb finishes with the fourth finger on the B flat. Coming down from the B flat your third finger is going to hit the A flat, your second finger the G flat, and your thumb the F. Now you simply cross your third finger over and finish with the same notes and fingering that you climbed up with.
On the left hand, start with the second finger on the B flat, cross over with the fourth finger to the D flat, then continue up the scale. When the thumb gets to the G, the third finger crosses over to the A and you finish the climb with the second finger on the B flat. Coming back down, hit the A flat with your third finger, cross your thumb under to hit the G flat, then follow the scale back down using the same notes and fingering that you used coming up.
Next, you can practice the B Major Scale.