for New South Wales
This guide has been produced by the expert team of mathematics teacher, authors and publishers at Oxford University Press. It contains a clear, concise overview of the key changes to the Mathematics 7–10 Syllabus for New South Wales (2022) and is designed to save you time and help you plan and implement the new syllabus with confidence.
Plan and prepare to teach the new syllabus
Start teaching the new syllabus
Why is the New South Wales Syllabus changing?
The NSW Education Standards Authority (NESA) has redeveloped the Mathematics 7–10 Syllabus in response to the recommendations of the NSW Curriculum Review (Masters 2020).
This is the first comprehensive reform of the NSW school curriculum in three decades.
NSW has taken an ‘adopt and adapt’ approach to incorporate Australian Curriculum content into the NSW Curriculum. The syllabus has been restructured to remove peripheral content and help teachers and students focus on developing fluency of core maths skills and in-depth understanding of essential mathematical concepts over time.
The Core–Paths structure
The new syllabus features a Core–Paths structure in Stage 5 which replaces the substages (Stage 5.1, Stage 5.2 and Stage 5.3) in the current syllabus.
The content within the Core–Paths structure demonstrates clear progression and has been streamlined to identify essential knowledge. Core content provides a foundation for Mathematics Standard 2 in Stage 6. Each path is labelled with Standard, Extension, and/or Advanced to allow for a diverse range of endpoints up to the end of Stage 5 and is linked to Year 11 and 12 Mathematics courses.
Mathematics Stage 5 Outcome 2
MA5 -TRG-P-02 establishes and applies the properties of trigonometric functions and finds solutions to trigonometric equations (Path: Adv)
Focus area: Trigonometry Path
Timeline
release
Syllabus
2022 2023 2024
Working mathematically
Key considerations
The syllabus now has a more explicit focus on applying mathematics knowledge.
The overarching Working mathematically outcomes are now embedded within the content and examples.
Mathematics 7–10 outcomes has been restructured from four strands with sub-strands to three areas with subsequent focus areas:
! Working mathematically
! Number and algebra
! Measurement and geometry
! Statistics and probability
! Number and algebra
! Measurement and space
! Statistics and probability
! Paths are used to progress students towards Stage 6 courses and may be implemented at any time in Stages 4 and 5. Teachers should plan to cover as many Paths as practicable.
! Some topics have been removed from the new Mathematics K–6 Syllabus and are being introduced to students for the first time in Stage 4.
Stage 4
What’s In?
What’s out?
What’s been added/moved/changed?
Solving equations in the form of
MA4-EQU-C-01 Moved from Stage 5.2
What’s been removed/de-emphasized?
Finding common multiples and lowest common multiples (LCM) MA4-5NA
Deemphasized
Stage 4
Describing linear relationships in real life context and solve related problems
MA4-LIN-C-01 NEW
Solving linear equations of up to 3 steps MA4-10NA Moved to Stage 5 Core
Stage 4
Stage 4
Using as the formula for the area of a rectangle or square, removing as the formula for the area of a square
MA4-ARE-C-01
Developing the formula for the area of a sector
Describing translations, reflections in an axis, and rotations of multiples of 90° on the Cartesian plane using coordinates MA4-11NA
Moved to Stage 5 Path (Adv)
Stage 4
from the area of a circle
MA4-ARE-C-01
Changed
Performing calculations of time that involve mixed units, and interprets time zones
MA4-15MG
Moved to Life Skills
Stage 4
Changing the formula for the area of a trapezium from to
MA4-ARE-C-01
NEW
Changed
Using Pythagoras’ theorem to investigate irrational numbers
MA4-16MG
Deemphasized
Stage 4
Stage 4
Interpreting data in pictograms and infographics
MA4-DAT-C-01 NEW
Identifying line and rotational symmetries
MA4-17MG
Determining congruent triangles to find unknown side lengths and angles
MA4-17MG
Identifying the difference between data collected from primary and secondary sources
MA4-19SP
Moved to Stage 5 Path (Adv)
Moved to Stage 5 Path (Ext)
Removed
Stage 4
Identifying and describing the shape and distribution of a dataset using terms symmetrical, negatively skewed and positively skewed
MA4-DAT-C-02
Moved from Stage 5.1
Representing events in Venn diagrams and two-way tables
MA4-21SP
Moved to Stage 5 Path (Adv)
Stage 5 Core
Adding royalties as a way of earning an income
MA5-FIN-C-01 NEW
Determining restrictions on the values of variables after rearrangement a literal equation
MA5.3-7NA
Removed
Stage 5 Core
Using the compound interest formula to establish the depreciation formula
MA5-FIN-C-02
NEW
Determining the inverse functions for a variety of functions and recognising their graphs as reflections of the graphs of the functions in the line
MA5.3-12NA
Removed
Stage 5 Core
Stage 5 Path (Adv)
Solving linear equations involving up to 3 steps, limited to one algebraic fraction
MA5-EQU-C-01
Identifying line and rotational symmetry in various linear and non-linear graphs
MA5-LIN-P-01
Moved from Stage 4
NEW
Stage 5 Path (Adv)
Describing translations, reflections in an axis, and rotations through multiples of 90° on the Cartesian plane, using coordinates
MA5-LIN-P-01
Moved from Stage 4
Stage 5 Core
Stage 5 Core
Stage 5 Path (Adv)
Stage 5 Path (Stn, Adv)
Stage 5 Path (Adv)
Stage 5 Path (Adv)
Determining the equation of the axis of symmetry of a parabola
MA5-NLI-C-02
Solving simultaneous equations where one line is non-linear graphically
MA5-NLI-C-02
Graphing circles and describing their features and transformations
MA5-NLI-P-01
Changing 'Direct and Indirect Proportion' to 'Direct and Indirect Variation'
MA5-RAT-P-01
Graphing regions corresponding to linear inequalities in one and two variables
MA5-FNC-P-01
Changing ‘permissible x-values’ to ‘domain’, ‘permissible y-values’ to ‘range’
MA5-FNC-P-01
Moved from Stage 5.3
Moved from Stage 5.3
Moved from Stage 5.1
Changed
NEW
Changed
What’s been added/moved/changed? What’s been removed/de-emphasized?
What’s In? What’s out?
Stage 5 Core
Solving problems involving surface areas of cylinders and related composite solids
MA5-ARE-C-01
Moved from Stage 5.2
Stage 5 Path (Stn, Adv)
Applying knowledge of the surface area of right pyramids and cones, spheres and composite solids to solve problems
MA5-ARE-P-01
Moved from Stage 5.3
Stage 5 Core
Solving problems involving the volume of composite solids consisting of right prisms and cylinders
MA5-VOL-C-01
Moved from Stage 5.2
Stage 5 Path (Stn, Adv)
Stage 5 Core
Stage 5 Core
Stage 5 Path (Adv)
Stage 5 Core
Applying knowledge of the volume of right pyramids, cones and spheres to solve problems involving related composite solids
MA5-VOL-P-01
Using angles in degrees and minutes in trigonometry
MA5-TRG-C-01
Changing ‘three-figure bearings’ to ‘true bearings’
MA5-TRG-C-01
Applying the sine, cosine and area rules to solve 2-dimensional problems, including bearings
MA5-TRG-P-01
Using the similar symbol (~) in a similarity statement
MA5-GEO-C-01
Moved from Stage 5.3
Moved from Stage 5.2
Changed
Moved from Stage 5.3
Stage 5
Path (Stn)
Solving problems involving the characteristics of graphs/ networks, planar graphs and Eulerian trails and circuits
MA5-NET-P-01
been added/moved/changed? What’s been removed/de-emphasized?
What’s
NEW
NEW What’s In? What’s out?
Stage 5 Core
Stage 5 Core
Stage 5 Path (Adv)
Stage 5 Path (Adv)
What’s In? What’s out?
What’s been added/moved/changed?
Explaining the difference between variables that have an association and variables that have a causal relationship
MA5-DAT-C-02
Examining standard deviation as a measure of spread
MA5-DAT-C-02
Representing events in Venn diagrams and two-way tables
MA5-PRO-P-01
Using Venn diagrams, set language and notation for events
MA5-PRO-P-01
Moved from Stage 5.3
Moved from Stage 4
What’s been removed/de-emphasized?
Constructing and interpreting back-to-back stem-and-leaf plots
MA5.1-12SP
NEW
Removed
NEW
The new Mathematics Syllabus is here… and
Oxford has you covered
Oxford Maths 7–10 NSW Curriculum is a new teaching and learning resource designed for the Mathematics Syllabus (2022).
With Oxford Maths 7–10 NSW Curriculum, teachers can:
Empower every student with precision reporting that identifies misconceptions and addresses gaps in knowledge.
Provide seamless access to review and extension materials with inter-year links from Years 7 to 10.
Foster design thinking to solve real-world problems with fully scaffolded cross-curricular STEAM projects.
Register your interest to stay up to date, receive invitations to professional development events and receive early access to sample pages.
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