Her heart raced while introducing herself to her new classmates and soon to be friends which was unknown to her, after explaining herself to the others she would sit back down with her head low.

"Thank you (Y/N) now today we will be going over the Pythagoras theorem much more clearly, and after yesterday's confusion we will have a more in depth explanation"

A soft smile would come over the new students face as she lifted her head back up, she knew this off by heart, everyone opened their note books as well as the math jornal page 394, pencils dancing over the pages could be heard as well as some students asking questions.

'In mathematics, the Pythagorean theorem, also known as Pythagoras' theorem, is a fundamental relation in Euclidean geometry among the three sides of a right triangle. It states that the area of the square whose side is the hypotenuse is equal to the sum of the areas of the squares on the other two sides. '

(Y/N) would read the small paragraph and write it down in her note book for later, yes she knew about the Pythagoras theorem off by heart but it doesn't hurt to touch up on it, her eyes would glide over the words in her math journal and her hand would make the pencil dance over the paper as she wrote down some helpers and tips.

After 10 minuets of doing so the teacher would hand out some sheet work to students, she noticed the blonde male staring at the new girl.

"Prompto, is there something interesting over in that direction that you want to let us know about?"

The teacher would ask, the blonde boy would whip his head forward before shaking it side to side quickly, once the sheets had been handed out everyone got to work, heads were down and work began, (Y/N) of course got through it quickly without stopping, her hand raised calmly before handing the completed work sheet to the teacher, their eyes opened wide seeing not once mistake.

"Good job, you may leave if you wish"

She would nod and pack up her things before pulling out a drawing pad, she opened it and started to stare out the window, a small bird asleep in the nest caught her eye, she started to sketch it out calmly and quietly while in her own world.

A small peice of paper would be placed on her desk from someone beside her, she had lifted her head before turning it towards where It would have come from, a blonde boy would be trying to act as if he didn't place it on her desk, she knew all to well, opening the note and starting to read it she would softly smile

'Nice drawing! - Prompto'

She would flip the small note over and write on the back of it before handing it carefully to him, he would read it carefully before slipping another one to her, she would read it with a large smile then turn to nod at him

'Wanna hang out and chat at the all coffee shop near by at 4pm ?'

Little did she know, this was the start of a strong friendship

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I will add more and sorry for taking so long, but here's an update