Noun Clauses as Subjects "That Emily danced in class annoyed Dr. Aust."
Noun Clauses as Objects "Dr. Aust reported that Emily danced in class."
Reported Speech "Mary asked Pete how he did in the math test." Other reported speech verbs commonly used are: add, admit, claim, declare, explain, indicate, mention, observe, state, reply, point out, etc.
Grammar Notes
Noun clauses are that clauses that have a subject and a verb. There is no comma between the main clause and the that clause e.g. That several students came late to class annoyed the professor.
In noun clauses, the word that is put before the clause, but it is not required e.g. The instructor said that you were late.
Noun clauses that are made from information question usually begin with the question word when, who, why, etc.
Noun clauses that are made from yes-no questions begin with if, whether
The most common verbs used to report statements are say and tell.
Yes/No questions in reported speech begin with the word if or whether