The department shall adopt and promulgate rules to establish a standardized alphabetic or numeric grading system based on the 4.0 scale or one hundred percent scale to be used by public schools, including charter schools, for grades three through twelve that is aligned with the New Mexico academic content standards and benchmarks and performance standards. A public school shall include the results of standards-based assessments in the standardized grading system and may augment the standardized grading system with a narrative or other method that measures a student’s academic, social, behavioral or other skills.