Umm, kind of confused about *two* DS games...

Just wondering, is Sonic Rush and Sonic Rush Adventure two totally different games? Or are they the same? I am not sure... I had sonic rush ADVENTURE, but I deleted it, and I dont remmeber how it started... So can some please tell me if these two games are the same or are they different? Thanks

Sonic Rush Adventure is the sequel to Sonic Rush. They're two different games.