The transitional phrase in <em>In the hope that I would get a better grade, I found myself studying much more often than I normally do</em> is a. In the hope that.
Explanation:
<u>Transitional words or phrases</u> are those used to create links between ideas, to connect one idea to the next one. These words or phrases are very useful in writing to establish different types of connections between ideas, such as time, exemplification, place, contrast or purpose, like in this case: the phrase <em>in the hope that</em> introduces the objective the writer had when studying much more than he usually did.
<u>Many of them are following the sequence</u> that they have. This is a normal question for, usually, the fourth grade and its purpose is to awake the imagination in children and in that way teacher can see what is the knowledge of the children in the class and what is their point of view, can they describe their imagination in a proper way.
There is no wrong answer to this question and that is why this is one of the most interesting questions in the school. Teachers should always follow the sequence when it comes to this kind of question.