Standard INVOICE vs "Statement/Invoice"

Please can we have an option of sending out itemised INVOICES, that reflect students Tuition?

INVOICE : What a client needs to pay.
RECEIPT: What a client receives after paying INVOICE
STATEMENT : What a client receives either Monthly, Quarterly, or even Yearly (What was paid & when)

This will really be a huge improvement and a more progressive Tuition/Invoicing and Statement option.

Many Thanks