No, I only keep their writings, short stories, poems, and some art work; if they have a lot you'd like to save, you could take pictures of their work, and make a scrap book for them.
I keep a journal, and make weekly entries.
When the time comes again to make a transcript, we will translate it into "edu speak" as my husband (M.Ed) likes to call it.

I make a note for myself what it is we need to pay extra attention to, and since they have to be 85 % or over in understanding the materials , or concepts before we move on it is not needed to keep "assignment papers" for record keeping, unless your state has such requirements.

I keep a reading list, and check mark in a different color for each child if they read the book, and sometimes we discuss it. (verbal narration)
We do not do formal tests, their daily, or weekly work is how we measure progress in math, as well as in the different components of language arts.
All other subjects are accumulative, and over the years they gain knowledge of them through reading, debating the issues, or hands on projects, and experience.

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