Performance band descriptions for Mathematics Extension 2
HSC performance band descriptions for Mathematics Extension 2 summarise the knowledge, understanding and skills typically demonstrated by students at each band level. NESA uses these holistic descriptions to report a student's level of achievement in the HSC exam.
Band E4
The typical performance in this band:
- demonstrates extensive knowledge and skills appropriate to the course.
- synthesises mathematical techniques, results and ideas creatively to solve problems.
- demonstrates sophisticated multi-step logic and mathematical insight to solve problems across a wide range of contexts.
- proves results in familiar and unfamiliar settings.
- communicates complex mathematical ideas and relationships using algebraic, diagrammatic and graphical techniques, concise notation and clear logical argument.
Band E3
The typical performance in this band:
- demonstrates thorough knowledge and skills appropriate to the course.
- solves problems effectively across a wide range of contexts.
- demonstrates complex multi-step mathematical reasoning and justification.
- demonstrates a sound grasp of techniques required to prove results in familiar settings.
- communicates mathematical ideas and relationships using algebraic, diagrammatic and graphical techniques, appropriate notation and logical argument.
Band E2
The typical performance in this band:
- demonstrates sound knowledge and skills appropriate to the course.
- solves problems across a range of contexts.
- demonstrates reasoning and justification in a range of contexts.
- communicates effectively using mathematical language, notation, diagrams and graphs.
Band E1
Performance reported as Band E1 indicates that the minimum standard expected was not demonstrated.