Scott,
Just to add to Bruno's answer.
As he says, you may or may not want/need to include business processes in your models for a particular system. In fact, you may or may not want/need to include business process models for
parts of your system.
Here, we use them as a means to validate any specific use cases that are unclear or otherwise "suspicious".
The beauty of them is that you can model the process at a very high level - while getting down the salient points of interest to the system designers. What I mean by this is, ...
Previous pocesses and notations (e.g. IEDEF, etc) involved a very detailed analysis of a business process, looking at either the data flows or the activity flows
within the process. All very fine and good if the process is likley to change. However, if the process is reasonably stable, the only information that is truly needed at the requriements/analysis/use case modelling stage is that info indicated by the first diagram in
http://www.sparxsystems.com.au/business_process_model.htm From these simple enunciations we can check that a use case is aligned with the business process, and if not explore it further with the stakeholders until we are sure that what we understand is what they understand.
Activity models on the other hand, can be used to explore the inner mechanistic steps (behaviour) of many
elements and features - processes, methods, etc etc. They a common way of representing the inner workings of some behaviour (there are dozens of threads in these forums on their use in specific instances e.g. analysing use case scenarios etc).
We also find that activity models are "easier" for stakeholders to comprehend than state, sequence and collaboration diagrams. The latter are used in the technical design of the system and IMO should not be forced on the uninitiated.
IOW - (business) process models are "semi-structural", they are used to describe the gestalt of a process, gleaning the needed information quickly and effectively. Activity diagrams are used for detailed analysis of the stepwise, atomic level behaviour of both the business and the system.
hth
Bruce