Sit in front of a piano and play middle C. Move up the piano to high C (eight white keys up), playing every white key. The order is C-D-E-F-G-A-B-C. This is a C major scale.
Play middle C again and match your voice pitch to the sound. Sing either la or lay, ee or oo. Play D and do the same. Go slowly at first, making sure you have the right pitch each time.
Reach high C and come back down as slowly as you went up. Develop a rhythm. Hold the notes for a whole note or half-note as you see fit. Continue to focus on pitch. Repeat the C scale a few times until you feel comfortable with it.
Practice with a short five-note scale. This type of scale is easy to play as you learn the notes and their placement. Start with middle C again and sing C-D-E-F-G and back down G-F-E-D-C. Play five white keys up and four down.
Change your starting position to begin a step higher, starting at D. The order is D-E-F#-G-A and back down A-G-F#-E-D. Then move to an E scale: E-F#-G#-A-B. Continue in this pattern until you've reached the top of your singing range. Then go one scale higher to stretch and train your vocal cords, and come down.