LOOK UP
When can you see it?
Afternoon and eveningThis phase is convenient for evening viewing: the Moon typically rises around midday and sets around midnight. The boundary between light and shadow is called the terminator. Near that boundary, shadows can make the surface relief easier to notice with binoculars.
How is first quarter different from last quarter?
Both look half lit. At first quarter, the bright portion is increasing towards full Moon; at last quarter, it is decreasing towards new Moon. Their usual viewing times also differ: evening for first quarter, late night and morning for last quarter.
Astronomy reference: NASA’s guide to Moon phases ↗