Conventions are multi-day events, inviting students from around the state (State Convention) and the nation (National Convention) to participate in many mathematical competitions. These include:
Individual tests for Mu, Alpha, and Theta
Bowl rounds in the form of a team test
Topic tests about specific topics within Mu, Alpha, and Theta
Ciphering rounds which are in the form of individual team rounds
Mental Math and Speed Math, which are extremely competitive fun tests
Chalk Talk, which is a formal speech regarding the connection between math and a specific topic
But most importantly, they are a great experience with your team and an opportunity to meet more mathematically-minded people!