Performance band descriptions for Mathematics Extension 1
HSC performance band descriptions for Mathematics Extension 1 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 effectively to solve problems.
- demonstrates insightful and sophisticated multi-step mathematical reasoning and justification.
- interprets, explains, justifies and evaluates solutions to problems across a wide range of familiar and unfamiliar contexts.
- applies mathematical models to efficiently solve problems.
- communicates complex ideas and arguments effectively using appropriate mathematical language, notation, diagrams and graphs.
Band E3
The typical performance in this band:
- demonstrates thorough knowledge and skills appropriate to the course.
- synthesises mathematical techniques, results and ideas to solve problems across a range of familiar and unfamiliar contexts.
- demonstrates well-developed multi-step mathematical reasoning and justification.
- interprets, explains, justifies and evaluates solutions to problems.
- communicates effectively using appropriate mathematical language, notation, diagrams and graphs.
Band E2
The typical performance in this band:
- demonstrates sound knowledge and skills appropriate to the course.
- uses mathematical techniques, results and ideas to solve problems across a range of contexts.
- demonstrates logical reasoning and justification.
- communicates using mathematical language, notation, diagrams and graphs.
Band E1
Performance reported as Band E1 indicates that the minimum standard expected was not demonstrated.