The index cards on the right and left hand flaps have little Velcro circles on them. The child opens any flap he/she wishes and they will find a card showing a phase of the moon inside insha'Allah (see below).
Each moon card also has a Velcro circle on the back. They take the card out and find its match on the board (which also has Velcro on each moon too).
(NEW) And try this great idea too insha'Allah! Reader Submission - Sis Alena: Last 10 Days of Ramadan Count Down Activity (Pictures Included!). You can also use these nice resources too insha'Allah:
Animated Phases of the Moon simulation (from NASA...this is nice but more for kindergarten aged children)
Moon Phases Powerpoint (Nice!) Scroll all the way down to the end of the page insha'Allah