Assessment: Coursework, Performance Descriptors, and Examinations
School-assessed coursework
SAC tasks in Specialist Mathematics are graded against performance descriptors that describe levels of quality, not just correctness. Descriptors typically address: knowledge and skills, application, reasoning and proof, and communication. A response that reaches the correct answer with no justification may score lower than one that shows sound reasoning with a minor arithmetic slip.
Performance descriptors
Descriptors are holistic bands. To move up a band, students must communicate reasoning explicitly: define variables, state assumptions, justify each step, and interpret the result in context. Traps: presenting bare algebra with no connective prose; failing to state a conclusion; not checking whether an answer is reasonable (e.g. a negative time).
Examination specifications
The end-of-year examination has two components: a technology-free section (short-answer, testing fluency and exact values) and a technology-permitted section (extended questions, modelling, and proof). Know the duration, marks, and weighting of each from the current study design - do not rely on memory. Trap: spending too long on the technology-free section and rushing the extended questions.
Worked example: band-jumping
A student solves $\int_0^1 xe^{x},dx$ and writes only "$=1$". A stronger response writes: let $u=x$, $dv=e^x dx$, so $du=dx$, $v=e^x$; then $\int xe^x dx = xe^x-\int e^x dx = (x-1)e^x$; evaluating from 0 to 1 gives $0-(-1)=1$. The second response evidences reasoning and communication and earns the higher band.
Rule of thumb
For every extended response, write a one-sentence interpretation at the end. It costs ten seconds and frequently lifts the band.