The correct option is A Firstly, tidy up your room before leaving for school.
While reducing a clause to an adverb or adverb phrase, the subject and verb must be omitted. The given sentence "It should be done first" must be reduced to an adverb/adverb phrase. The resulting sentence becomes a simple sentence.
From the given options, D contains the adverb, 'Firstly', which has taken the place of the second sentence all the while retaining its original meaning. Hence option D is correct.
Option A is incorrect because the sentence does not use an adverb/adverb phrase. Moreover, the sentence is grammatically incorrect; 'that' is unnecessary.
Option B is incorrect because an adverb/adverb phrase has not been utilized. Instead, the adverb clause "because... ." is used.
Option C is incorrect because the resulting sentence is a compound sentence which does not use an adverb/adverb phrase.