Have a general structure for the first lesson, but expect to follow the plan loosely. Introduce yourself by demonstrating the instrument, playing musical pieces the pupil will recognize. Most children are anxious initially, especially if they don't know their teacher. When they recognize a tune, it's an icebreaker and gets the instructor and student talking. Ask the child what songs he likes and would like to learn to play.
Now it's time for the student to touch the keys. Musical games help teach music theory, which is cumbersome at times. Play tone recognition games in follow-the-leader format. For example, instruct the child to play a single note while saying the name of the note aloud and striking the key with an index finger in repetitions of four. The instructor goes first and the student follows. Choose notes to form a simple melody. At the end of the melody pattern, play each note singly, with the student repeating them, and show the child that she just played a song. You can add other exercises if time allows.
If the new student is comfortable, you can ask if he has ever picked out familiar melodies on the piano keys. Have the student play the song he has sounded out. This will help you assess the child's tonal awareness and prior exploration of music. Afterward, teach one or two practice skills to help the student learn to coordinate his fingers on the keyboard. Teach the correct finger pattern for playing one octave. Start with the right hand. Play along with the student until he can play it on his own. Next, teach the left hand pattern. Add these to the pupil's first homework assignment.
Encourage your students. Create an upbeat class session on which the child can build a string of enjoyable lessons. If she makes a mistake, be supportive. Remind her that everyone makes mistakes. Discuss briefly the importance of practice in correcting mistakes. If a child won't participate in the lesson, demonstrate all that you planned with a smile. It may take several lessons before children feel comfortable participating. If a child is not ready now, she may be later. What she experienced in her first trial at the piano may be the inspiration that brings her back.