Shall \shal\ , auxiliary verb;
1. Plan to, intend to, or expect to
Shall is the present tense of should, though it is quickly falling into the archaic category, along with whom and probably others.
It comes from Old English sceal ("I owe/he owes, will have to, ought to, must), which is conjugated from the infinitive sculan, and derives from Proto-Germanic *skal- or *skul-. The past tense of sculan was sceolde, which gave rise to should.