'continuously-assessed' originates from English, combining 'continuously' (from Latin 'continuus' via Late Latin 'continuare', where 'continuus' meant 'unbroken, continuous') and 'assessed' (from Medieval Latin 'assessare' < Latin 'assidēre', where 'assidēre' meant 'to sit beside; assist' and came to mean 'to fix a tax; evaluate').

'continuously-assessed' formed in Modern English as a hyphenated compound adjective built from the adverb 'continuously' + the past participle 'assessed', following the English pattern of attributive compounds (e.g., 'well-known', 'high-risk').

The components originally meant 'without break' and 'evaluated/levied.' In combination they came to denote something 'evaluated on an ongoing basis,' especially in educational contexts.