Here's a link to the form to establish residency for DCPS:
https://osse.dc.gov/sites/default/files/dc/sites/osse/publication/attachments/2024%202025%20School%20Year%20DC%20Residency%20Verification%20Form.English.pdf
The form indicates to establish residency you need at least 3 documents, and a lease is just one of those. The other documents are difficult to get very quickly (pay stub, utilities receipt in your name showing you've paid for the utilities... which would require at least 2 months, assuming you got utilities in your name....)
Looks like the only thing that would work quickly is the home visit option. Here's what it says about not being able to establish residency by gathering the required documents:
Verify through a home visit. If you are unable to verify through one of the above methods, speak with your school official about a home visit. The visit must occur inside the residence and demonstrate that the enrolling person and the student reside in the home.
Has anyone done a home visit? How long does it take to get one scheduled and who comes out to do it?