4 Months of Braces Followed by 9 Months of Invisalign - Good Plan?

It sounds like your orthodontist is trying to get rotation of teeth using conventional braces before finishing the case with Invisalign. Using Invisaling to rotate teeth, especially canines, used to be a very difficult proposition but the company has developed newer attachments that make this movement somewhat more predictable. I would suggest trying Invisalign first (with the newer attachments of course) and see if you can't complete the entire case with only Invisalign. If treatment objectives are not realized at the completion of Invisalign then brackets and wires can easily be used at the end.

SInce you asked your initial question 12 months ago, I'm curious how things turned out for you. Please do share!

Adding some braces for a few months before, during or after the Invisalign can boost the speed of treatment. For example if teeth are rotated more than 45 degrees. Ask your doctor what specific goals he or she has for the braces phase of the treatment, so you both know when you will be set free. If the idea is just to get you in braces to sway you from Invisalign without a clear justification I would advise against that.

If you are going to do four months of braces and that is enough to get significant changes, which in my office using Damon braces it probably would be for some mild Class I crowding,  you would probably be better off and get a more precise final result if you just go ahead and do a few more months in the braces and be done with it. You might also be able to do it faster.    It is likely to be a good bit more cost effective and probably a more precise result at the end.  It doesn't sound like a difficult or long term case.   Once you are into the process most patients just want "whatever will get me done the quickest".  Talk to your orthodontist about the treatment time goals that you want to shoot for.