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When writing a legal brief there should be only one Table of Contents for the entire document. The entry for an Appendix is normally listed as one of the items on that Table of Contents and then each exhibit having a line beneath that. So, for example, you would list it in this manner:
I. Statement of the Facts
II. Legal Argument
III. Legal Argument
A. Exhibit A (or Tables, Illustrations, etc.)
B. Exhibit B
Only if you also have a Table of Authorities (meaning a table listing all of the cases used in your legal arguments, would you need a separate table. In that case, the Table of Authorities is placed directly behind your Table of Contents.
That is the normal "real world" practice, but even there each court has its own preferred styles. You should always check with your teacher to see if they have a different preference, therefore.