Is this sentence gramatically correct? outside of school, i like playing soccer; my favorite sport.

no, it should say, "Outside of school. I like playing soccer; it is my favorite sport."

modal adverbs are used to modify specific verbs that consist of a linking verb (verb of being) and sometimes another verb. examples of modal verbs include can, could, may, might, must, shall, should, will and would.

modal auxiliary. an auxiliary verb characteristically used with other verbs to express mood, aspect, or tense. in english, the most common modal auxiliaries are can, could, may, might, must, ought, shall, should, will, and would. also called modal .

(d) alice notices that the glass is melting away. because that aint real