Performance band descriptions for Mathematics Standard
HSC performance band descriptions for Mathematics Standard 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.
Mathematics Standard 1
Band 6
A student who performs at this level in the exam typically:
- demonstrates extensive knowledge and skills appropriate to the course
- applies appropriate mathematical concepts, skills and techniques consistently and accurately in familiar and unfamiliar contexts
- selects and uses a variety of problem-solving strategies to solve mathematical problems
- applies mathematical reasoning and interprets mathematical models
- communicates effectively using appropriate mathematical notation, diagrams and graphs.
Band 5
A student who performs at this level in the exam typically:
- demonstrates thorough knowledge and skills appropriate to the course
- applies appropriate mathematical concepts, skills and techniques consistently in familiar contexts
- selects and uses some problem-solving strategies to solve mathematical problems
- uses mathematical reasoning and interprets familiar mathematical models
- communicates using appropriate mathematical notation, diagrams and graphs.
Band 4
A student who performs at this level in the exam typically:
- demonstrates sound knowledge and skills appropriate to the course
- uses mathematical concepts, skills and techniques in familiar contexts
- selects and uses some problem-solving strategies to solve mathematical problems with limited success
- uses mathematical reasoning
- communicates using mathematical notation, diagrams and graphs.
Band 3
A student who performs at this level in the exam typically:
- demonstrates basic knowledge and skills appropriate to the course
- uses a limited range of mathematical concepts, skills and techniques
- uses some mathematical reasoning
- uses mathematical notation, diagrams and graphs.
Band 2
A student who performs at this level in the exam typically:
- demonstrates limited knowledge and skills appropriate to the course
- uses minimal mathematical techniques
- uses some simple mathematical notation or diagrams.
Band 1
Performance reported as Band 1 indicates that the minimum standard expected was not demonstrated.
Mathematics Standard 2
Band 6
A student who performs at this level in the exam typically:
- demonstrates extensive knowledge and skills appropriate to the course
- applies appropriate mathematical concepts, skills and techniques consistently and accurately in a wide range of familiar and unfamiliar contexts
- selects and uses a wide variety of problem-solving strategies to solve mathematical problems
- demonstrates mathematical reasoning and justification, and interprets and analyses mathematical models
- communicates effectively using appropriate mathematical language, notation, diagrams and graphs.
Band 5
A student who performs at this level in the exam typically:
- demonstrates thorough knowledge and skills appropriate to the course
- applies appropriate mathematical concepts, skills and techniques accurately in a range of familiar and unfamiliar contexts
- selects and uses a variety of problem-solving strategies to solve mathematical problems
- demonstrates mathematical reasoning and interprets mathematical models
- communicates using appropriate mathematical language, notation, diagrams and graphs.
Band 4
A student who performs at this level in the exam typically:
- demonstrates sound knowledge and skills appropriate to the course
- uses mathematical concepts, skills and techniques in familiar and some unfamiliar contexts
- uses problem-solving strategies to solve mathematical problems
- uses some mathematical reasoning and mathematical models
- communicates using some appropriate mathematical language, notation, diagrams and graphs.
Band 3
A student who performs at this level in the exam typically:
- demonstrates basic knowledge and skills appropriate to the course
- uses mathematical concepts, skills and techniques in familiar contexts
- uses some mathematical reasoning
- uses some mathematical language, notation, diagrams and graphs.
Band 2
A student who performs at this level in the exam typically:
- demonstrates limited knowledge and skills appropriate to the course
- uses basic mathematical concepts, skills and techniques to solve problems with limited accuracy
- uses some mathematical language and simple diagrams.
Band 1
Performance reported as Band 1 indicates that the minimum standard expected was not demonstrated.