Now, turn to the left or right, so the Sun is low in the "sky." Hold the Moon out in front of you, and you will notice that although it is still "daytime", part of the moon is illuminated by the "Sun". By turning, you should be able to find several positions where you can still see the "Sun", but can also see a large part "Moon" that is lit up.
As you experiment, you will find that the farther the "Moon" is from the "Sun", the more of its face will be illuminated. At the extreme, you will notice that full moons rise as the Sun sets.