Lessons include instruction in some or all of the following:
piano skills (scales, chords, arpeggios) technique, theory, sight reading, and
My First Piano Adventures by Faber is, I believe, the best method written for piano. This is a magical age and the books are full of delightful pieces and learning exercises.
There are many methods for this age group to choose from. Some move quicker than others and all have the same basic early material. These books are colorfully attractive for young children.