When the Moon is directly between the Sun and Earth, the side of the Moon facing Earth is not illuminated, and we see a New Moon. As the Moon moves in its orbit, more of the side facing Earth becomes illuminated, and we see a Waxing Crescent Moon. When the Moon is at a right angle to the Sun and Earth, half of the side facing Earth is illuminated, and we see a First Quarter Moon.
As the Moon continues to move in its orbit, more of the side facing Earth becomes illuminated, and we see a Waxing Gibbous Moon. When the Moon is opposite the Sun in the sky, the entire side facing Earth is illuminated, and we see a Full Moon. After the Full Moon, the amount of illuminated side facing Earth begins to decrease, and we see a Waning Gibbous Moon, Third Quarter Moon, and Waning Crescent Moon, until the cycle repeats with a New Moon.