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NC DPI website has the state standards for every grade. Unpacking the standards supplement will provide you all the examples of material the student has probably worked with. I despise these standards but NC Math1 is a combo of Algebra, Geometry, and Statistics. I think that's it's basic sum up. I haven't taught Math 1 for NC in a hot minute though.
I would email the other school and ask if they have a curriculum map they could send. We teach Math 1, 2, and 3 at my high school, and we sometimes get requests for that. I much prefer the integrated curriculum, but the name doesn’t tell you much about what is being taught.
You'd think but last I truly knew 100% it was 2017 and when teachers in the system were emailed about students they gave a brief summary of the student themselves and slapped the NCDPI link to their content in the email.
If the student just transfered, I would ask the student to show you his/her notes. Even if you do get a hold of the standards, you can not figure out what was covered. You can also email the teacher to send you the pacing guide from beginning of the school year until now.
I myself taught Math II and III and I truly enjoyed it.