Option 1 -> "Approx." is an abbreviation for "approximately," which doesn't grammatically or contextually fit when discussing evaluating performance.
Option 2 -> "Appraise" means to assess, evaluate, or estimate the quality/value of something - the teacher needs to evaluate the student's work before grading.
Option 3 -> "Apprise" means to inform or notify someone about something; you cannot "apprise a performance."
Option 4 -> "Praise" means to express approval or admiration, but the context requires assessment/evaluation, not commendation.
Hence, Option 2: Appraise -> The teacher must assess and evaluate the student's performance systematically before determining final grades, making "appraise" the correct verb for this academic evaluation context -> correct