Some grammarians prefer to teach this topic based on subjects versus objects, but I prefer to use verbs when determining when to use "I' or "Me".
For example, if the verb comes first in the sentence use "Me". (e.g., "The chef made delectable burgers for Noor and me.")
Otherwise, use "I". (e.g., "Noor and I are going to the Fanelli’s in SoHo for burgers."