Did the moon or planets accrete in ways similar to Earth, in the same time frame, or both? How do the accretion histories of the moon and other planets compare with that of Earth?
It is unlikely that the moon formed in the same way as earth, i.e., as a rocky core in orbit around the juvenile sun, accreting material from debris in the young solar system. A more likely scenario is the moon as a by-product of an impact between early earth (after the core had formed, but before earth had fully accreted) and a Mars-sized rocky body.
Planets between the sun and the asteroid belt are all composed largely of silicate rocks. That is, most of their mass consists of elements and compounds that vaporize at "very high" temperatures. All such terrestrial planets formed in similar ways, leading to similar vertical layers within them (typically core, mantle, and crust). But the material that accreted to make them varied somewhat, possibly in narrow bands, with distance from the young sun. A good example is the difference in the K/Th mass fraction ratio as well as in the mass fraction of Fe between Earth and Mars.
Clear and detailed descriptions of the origin of the moon are available at the following sites:
Planetary Science Discoveries: Earth Moon system origin
Issues with the impact-origin theory is highlighted in a well-cited Wikipedia entry as well.
An additional concise but insightful description on the origin of the moon is available at:
Planetary Science Institute Moon origin
This page was last updated on February 10, 2016