Pairs events, normally matchpointed, are the most common club format; Teams events compare two tables playing the same boards in opposite directions, normally scored in IMPs; Individual events change partnerships during the session (Law 4)
Why people argue about this
People often assume that in Team events of Duplicate Bridge (ACBL), all players sit at one table throughout the session, which is incorrect. Actually, Teams events compare two tables playing the same boards but in opposite directions, and scoring is done in IMPs, not between individual pairs as they might expect from Pairs events.