See if it's possible to attend a service at Tempio Maggiore. You'll learn about some of the traditions and practices of the Jewish religion.
If you're spending a while in Quartiere XXVII Primavalle, Tempio Maggiore is a fine place to kick off your exploring. This Jewish house of worship is one of numerous attractions that'll keep you busy here. St. Peters Basilica, Roman Forum and Piazza Navona are also waiting to be explored close by.