Answer:No , you don't need to worry about plagiarism.
Explanation: Plagiarism occurs when you take someone else's idea or written work and produce it as your own without the acknowledgement of a person who actual came up with the idea or who initially wrote that work.
In this case the work is based on your idea and your written work and you are sharing that idea with two different teachers but the work is still originally yours and you haven't stolen anyone's idea or written work and produced it as your own.
