As said previously, she needs to enjoy and breath music!
If you want her to be more "active" mentally doing music, I don't think suzuki is the method to be honest. Combine it with more imagination driven playing at the piano. For instance, put the pedal down (of let her do it if she reaches) and let her play and explore the black keys. It all will sound lovely in the pentatonic. Let her do big noise, and very quiet one, in the whole register of the piano!
Also, story telling at the keyboard. you can have bells, and play tinkling sounds at the top. Or a thunder storm, and just rumble at the bass. Don't censor her, let her love the instrument and connect to her imagination with it.
Sing lots with her too. There is very good books that have very very easy arrangements of nursery rhymes. Always more motivating when they like the music and they know it before hand, so she can asses her improvement. Sing and play together. Don't forget the "play" part of playing the piano...