the interpreter chooses the most appropriate way to convey the message
the interpreter signs the message, the Deaf person sees the signs
the Deaf person conceptualizes and processes the meaning of the message
the Deaf person signs a message
the process reverses and begins anew

Things to Consider:
Address the other consumer(s) directly, rather than addressing the interpreter.

Speak or sign at a normal volume and rate. The interpreter will let you know if you need to change the rate of signing or speech.

Don't sign or say things you don't want interpreted - the interpreter is ethically bound to interpret everything that is seen or heard.

Remember that the interpreter is a few words/signs behind the speaker/signer. Allow the interpreter time to finish the message before asking questions of the other consumer or starting a discussion. At times, the interpreter may need to interrupt the speaker or signer to ask for clarification, in order to provide a clear and accurate interpretation.