start off in madaba and avoid the bustle of amman during your first days. madaba has a very relaxed vibe in the morning. i arrived at around 5am and no one was around, my hotel was closed. i took it upon myself to wander around and by 9am, i had visited everything in madaba. from madaba you can visit mount nebo, dead sea, al maghtas (bethany) in the same day. from there you can make your way to petra but make stops along the way to dhibban and wadi mujib. even if you get to petra right away, you'll need a good two days to see it and pace yourself while you're there. i rushed it all into one day and i was drained. you can arrange for transport to wadi rum from there and after that head to aqaba to relax. take a bus to amman (about 5 hours but cheap) and use that as your base to visit umm qais, jerash, ajlun, and the desert castles.