Assessment
Course standards
Course standards are comprised of syllabus standards and performance standards. Syllabus outcomes and content form the syllabus standards that describe what students are expected to know, understand and do. Performance standards, including the Common Grade Scale for Preliminary courses, HSC Performance Band Descriptions and Achievement Level Descriptions (for HSC courses with grades only) describe how well students have achieved in relation to syllabus standards. Performance standards are used to report student achievement on NESA credentials.
Performance Band Descriptions for Mathematics Extension 2
HSC performance band descriptions summarise the knowledge, understanding and skills typically demonstrated by students at each band level in a particular course. NESA uses these holistic descriptions to report a student's overall level of achievement in an HSC course.
Band E4
A student who performs at this level typically:
demonstrates extensive knowledge, understanding and skills appropriate to the course
creatively synthesises mathematical concepts, techniques and results to efficiently solve problems
demonstrates sophisticated multi-step logic and mathematical insight to solve problems and prove results in familiar and unfamiliar situations
constructs, analyses and applies mathematical models effectively to solve problems in a wide variety of situations
communicates complex reasoning, justification and arguments effectively, using appropriate mathematical language, concise notation, diagrams, and algebraic and graphical techniques.
Band E3
A student who performs at this level typically:
demonstrates thorough knowledge, understanding and skills appropriate to the course
synthesises mathematical concepts, techniques and results to solve problems
demonstrates complex multi-step logic to solve problems and prove results in familiar and unfamiliar situations
constructs, analyses and applies mathematical models to solve problems in a variety of situations
communicates reasoning and justification effectively, using appropriate mathematical language, notation, diagrams, and algebraic and graphical techniques.
Band E2
A student who performs at this level typically:
demonstrates sound knowledge, understanding and skills appropriate to the course
uses mathematical concepts, techniques and results to solve problems
constructs and applies mathematical models to solve problems in a range of situations
communicates reasoning and justification effectively, using mathematical language, notation, diagrams and graphs.
Band E1
Performance reported as Band E1 indicates that the minimum standard expected was not demonstrated.