Why are mathematical models used in standards-based grading?

• A. To estimate formative scores
• B. To estimate summative scores
• C. To measure summative scores
• D. To measure formative scores

Answer: (B)

In standards-based grading, you gather many pieces of evidence about a student’s mastery of each standard over time. A mathematical model helps combine that evidence to estimate a student’s overall level of mastery for each standard, which then feeds into the final or summative assessment of that standard. This estimation is important because no single test or observation fully captures what the student knows, so the model weighs and aggregates multiple data points to produce a fair, stable summative score that reflects true mastery.

Formative data are used to guide instruction and inform ongoing feedback, not to produce the final grade by themselves. The math model is there to synthesize those multiple indicators into a summative estimate, which is why estimating summative scores is the best fit.