Papers can talk directly about a mathematical topic related to symmetry, they can be a personal reflection, and an expository talk relating symmetry to something in history, design, culture…you name it! Above all, make sure your writing is focused and specific. However symmetry appears in your paper, write about it with as much precision as you can.
A good paper includes pictures and examples to support your writing, as well as outside references. Good papers are readable (avoid typos and grammatical mistakes).
Avoid a paper that is a simple laundry list of symmetric objects in your life. Write about something you find interesting or that you care about.
I will grade you paper on a 0-5 point scale. Papers that receive a 5 are exceptional. Note that the grade on your short papers represents a pretty hefty chunk of your overall grade (40%). In the gradebook these assignments are not weighted as they will be when I compute your grade. Blowing off your papers is a really bad idea! Treat this assignment with the same seriousness that you would a test.
Hints: Symmetry is that one shape is exactly like the other shape when it is moved, rotated, or flipped.
In the real life, we always use symmetry to solve different kinds of problems.
Also, symmetry brings us a lot of convenience to solve mathematical problems, especially in geometry.