If the piece is large enough to survive its passage through our atmosphere, it will fall to the earth as a meteorite. Meteors are atmospheric. Meteorites actually land upon the Earth. Meteoroids are simply bits of debris in space, too small to be called an asteroid. Asteroids are bodies large enough to be detectable by telescope.
Meteors can be rocky, metallic, or a combination of both.
The composition of meteor samples taken as a whole suggests the possibility that a small planetary body or bodies may have been broken up by an enormous impact with another body or each other. Since the material seems to be differentiated in some samples, and may be less terrestrial in others, some meteors may be more icy in composition. This raises the question of where these particles came from. An obvious answer is the asteroid belt. It would appear that one or more small planetary bodies or moons have collided and have scattered debris throughout the solar system.