This was actually pretty tricky. Start at the top with the largest level of biological chemistry (organism). The first big split seems sensible for dividing organic and inorganic (since that is a major type of division) and the four offshoots on the right seem made for the four major types of carbon macromolecules. On the left, things seem to keep getting smaller, getting down to atoms, elements, etc. The lowest two boxes seem the most sensible location for bonds and reactions. So we fill in the chart as shown below.
atoms chemicals proteins nucleic acids lipids carbs