'nationally-evaluated' is a compound of 'nationally' and 'evaluated'. 'Nationally' is formed from 'national' + the adverbial suffix '-ly'; 'national' originates from Latin, specifically the word 'natio' (via Old French 'nation'), where 'natio' meant 'birth, people, nation'. 'Evaluated' comes from the verb 'evaluate', which originates from French 'évaluer', from Medieval Latin 'valutare' (related to Latin 'valēre'), where 'valēre' meant 'to be strong, to be worth'.

'national' came into English via Old French and Middle English from Latin 'natio'; 'evaluate' entered English via French 'évaluer' (from Medieval Latin 'valutare'), and the Modern English compound 'nationally-evaluated' arose by combining the adverbial form 'nationally' with the past participle 'evaluated' to describe something assessed at a national level.

Initially, roots like 'natio' referred to birth/people and 'valēre' referred to worth or strength; over time these developed into 'national' (relating to a nation) and 'evaluate' (to determine worth/value). The compound now specifically means 'assessed according to national standards or at the national level.'