I think you have a really good question I just don’t think it’s that important.
The answer would be contraction
The correct word would be 'Passed' because it is the past tense version of the word 'to pass,' the verb you wanna use in this context. The word 'past' is a noun which refers to generally previous events or history. That word does not make sense here.
Teaching is the profession of those who provide instruction, particularly in an elementary, secondary, or university setting. A chalkboard is used by a teacher to write on. Teaching is an activity that aims to achieve meaningful learning through a morally and pedagogically acceptable method. Teaching is also the process of an experienced person instilling moral values, abilities, and skills in an inexperienced person in order to effect positive change.
Hope this helps and if it does, don't be afraid to give my answer a "Thanks" and maybe a Brainliest if it's correct?