political map is the map showing the inner boundary of the area or the region which the map is about and the physical map is the map showing the outer boundary of the area or the region which the map is about
Yes I would take a map with you if you do not know the area in Arizona or where you are going so you do not get lost. If you know the area then you will not need a map, but if you do not take a map of the area with you.
It would all depend on where you have been there before or not. Also, where you no the area or not. If you know the area well then I would say no if you do not then get a map at the following site I found for you to look at geography.about.com/od/studygeography/a/mapparts.htm