Record of changes for Mathematics Advanced

Updates to Mathematics Stage 6 syllabuses

Minor amendments have been made to the Mathematics Stage 6 syllabuses to provide clarification and ensure consistency.

• Amendments were introduced in Term 4 2019
• Amendments to Year 12 content will be examinable in the 2020 HSC exams
• Amendments to Year 11 content will be examinable in the 2021 HSC exams
• Changes to the Mathematics Reference Sheets and Exam Specifications are effective from the 2020 HSC exams.

A copy of the affected content is included below for reference purposes:

• Mathematics Advanced Year 11 content prior to maintenance detailed in Official Notice NESA 48/19 (PDF 663.97KB)

Mathematics Advanced Stage 6 – Syllabus updates

(Official Notice NESA 48/19)

Effective from 18 November 2019

NESA has completed maintenance of the Mathematics Standard, Advanced, Extension 1 and Extension 2 syllabuses to provide clarification and ensure consistency between Stage 6 Mathematics syllabuses.

The summary table below specifies the updates that have occurred for Mathematics Advanced.

Reference	Prior to 2019 maintenance	November 2019 update
Mathematics Advanced	The phrase ‘including but not limited to’ has been replaced with the word ‘including’.	This has resulted in 8 changes in the syllabus text.
Mathematics Advanced MA-F1 Working with Functions – F1.2: Introduction to functions	understand and use interval notation as a way of representing domain and range	understand and use interval notation as a way of representing domain and range, eg [4, ∞)
Mathematics Advanced MA-F1 Working with Functions – F1.3: Linear, quadratic and cubic functions	solve practical problems involving a pair of simultaneous linear and/or quadratic functions algebraically and graphically, with or without the aid of technology; for example determining and interpreting the break-even point of a simple business problem AAM	solve practical problems involving a pair of simultaneous linear and/or quadratic functions algebraically and graphically, with or without the aid of technology; including determining and interpreting the break-even point of a simple business problem AAM
Mathematics Advanced MA-S1 Probability and Discrete Probability Distributions – S1.2: Discrete probability distributions	recognise uniform random variables and use them to model random phenomena with equally likely outcomes (ACMMM138) use Var(X) =E((X – μ)²) = E(X²) – μ² for a continuous variable and Var(x) = σ² for a dataset	recognise uniform discrete random variables and use them to model random phenomena with equally likely outcomes (ACMMM138) use Var(X) =E((X – μ)²) = E(X²) – μ² for a random variable and Var(x) = σ² for a dataset
Mathematics Advanced MA-M1 Modelling Financial Situations – M1.1: Modelling investments and loans	use a table of future value interest factors to perform annuity calculations, eg calculating the future value of an annuity, the contribution amount required to achieve a given future value or the single sum that would produce the same future value as a given annuity	use a table of interest factors to perform annuity calculations, eg calculating the present or future value of an annuity, the contribution amount required to achieve a given future value or the single sum that would produce the same future value as a given annuity
Mathematics Advanced MA-S2 Descriptive Statistics and Bivariate Data Analysis – S2.2 Bivariate data analysis	implement the statistical investigation process to answer questions by identifying, analysing and describing associations between two numeric variables AAM	solve problems that involve identifying, analysing and describing associations between two numeric variables AAM
Mathematics Advanced MA-S3 Random Variables S3.1 Continuous random variables	define the probability as the area under the graph of the probability density function using the notation  P(X ≤ x) =ƒ (x) dx where ƒ(x) is the probability density function defined on [a, b] explore properties of a random variable that is uniformly distributed	define the probability as the area under the graph of the probability density function using the notation  P(X ≤ r) =ƒ (x) dx where ƒ(x) is the probability density function defined on [a, b] explore properties of a continuous random variable that is uniformly distributed
Mathematics Advanced MA-S3 Random Variables S3.2 The normal distribution	use z-scores to identify probabilities of events less or more extreme than a given event AAM	use z-scores to identify probabilities of events less or more extreme than a given event AAM use statistical tables to determine probabilities   use technology to determine probabilities
Mathematics Advanced Glossary compass bearing		Compass bearings are specified as angles either side of north or south. For example a compass bearing of N50°E is found by facing north and moving through an angle of 50° to the east.
Mathematics Advanced Glossary true bearing		True bearings are measured in degrees clockwise from true north and are written with three digits being used to specify the direction. For example the direction of north is specified 000°, east is specified as 090°, south is specified as 180° and north-west is specified as 315°.
Mathematics Advanced Glossary flags	- This symbol indicates that a sample question that illustrates the term is included in the associated Topic Guidance.	The symbol and its explanation have been removed from the Mathematics Advanced syllabus

Minor updates have been made to the Mathematics Advanced Examination Specifications:

Updates include:

• clarification regarding examination equipment
• formatting.

Corresponding updates have occurred to the Mathematics Advanced, Extension 1 and Extension 2 Reference Sheet.

For more information, contact: 
curriculum@nesa.nsw.edu.au  

New and updated Stage 6 Mathematics Exam Materials

(Official Notice NESA 45/18)

The new Stage 6 Mathematics Advanced, Mathematics Extension 1 and Mathematics Extension 2 courses will be examined for the first time for the HSC in 2020. NESA has prepared new HSC exam specifications to align with the new syllabus content and directions.

Exam specifications and sample exam materials for Mathematics Advanced, Mathematics Extension 1 and Mathematics Extension 2 are now available including:

• Assessment and Reporting in Stage 6 documents containing HSC exam specifications
• Sample exam materials, including sample questions, marking guidelines, sample answers and mapping grid and Reference Sheet
• Performance band descriptions
• Consultation Report on the exam specifications
• Exam advice.

New Stage 6 Mathematics Advanced syllabus for implementation in 2019

(Official Notice NESA 2/18)

The recently published version of new Stage 6 Mathematics Advanced syllabus for implementation in 2019 omitted a formula. The formula for variance that was in the Glossary has now been relocated in the body of the syllabus.

Clarification of Mathematics Standard Stage 6 Pathways

(Official Notice NESA 4/18)

The following amendment will be made to text on the page headed ‘Mathematics in Stage 6’ in the new Stage 6 Mathematics Standard, Mathematics Advanced, Mathematics Extension 1 and Mathematics Extension 2 syllabuses.

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