Change the teacher writes on the board into passive voice

The board is being written on by the teacher.

Hope it helps you

the sentence that avoid faulty coordination is:

culture, which is well represented in philadelphia, plays a major role including theatre, music, and the visual arts.  

faulty coordination occurs when the writer gives equal importance two different ideas (clauses) which in fact are not equivalent. in order to correct a misplaced clause or idea, the writer can place less important or emphatic ideas in a relative clause as in the previous sentence.  

uncanny would be like unlucky or disaster. you can look for more in the dictionary or if you have text book then turn to a. 17 but it's different with textbooks.