Does the changing shape of the phase of the moon follow a pattern?

Answer 1

Yes.

Appearing first as a skinny crescent on the right side, the visible portion of the moon grows to a full disk,
and then shrinks to a skinny crescent on the left side, before disappearing entirely.
This entire pattern repeats every 27.53 days.
Go out and watch it some time.

Answer 2

Yes, the changing shape of the moon follows a predictable pattern called the lunar cycle, which repeats approximately every 29.5 days. This cycle includes the phases of the new moon, waxing crescent, first quarter, waxing gibbous, full moon, waning gibbous, last quarter, and waning crescent.