Mathematics 3–6 units
Sample units to support implementation of the Mathematics K–10 Syllabus.
Mathematics 3–6 resources update
The NSW Department of Education is revising and updating curriculum implementation resources for NSW syllabuses, including sample units, to align with system-wide priorities such as the Explicit teaching in NSW Public Schools statement and Our Plan for NSW Public Education.
As part of this work, the Mathematics 3–6 sample units are no longer available on the public website. No immediate action is required for NSW public schools or staff.
Access for NSW public schools
All Mathematics 3–6 resources remain available to NSW public school staff on Inside the Department: Mathematics 3–6 units (staff only) (staff login is required).
Using existing resources
NSW public school teachers and staff may continue to adapt and use existing Mathematics 3–6 sample units as part of their programs, applying professional judgement and local school decisions in line with syllabus requirements and student needs.
Unit features
Sample units are optional resources forming part of the curriculum reform support package in mathematics for primary teachers. As part of the Curriculum Partnership Schools project, primary school teachers across the state worked collaboratively with the Primary Curriculum team to develop mathematics 3–6 sample units.
These units are designed for teachers of 3–6 students and represent ‘one way’ of designing teaching and learning experiences.
The Mathematics K–10 Syllabus (2022) affords a refreshed approach to mathematics units. Sample units include value-added features that support this approach.
Timeframe for use
Each unit is 2 weeks in duration, aligned to department scope and sequences. Including the Daily number sense instructional sequence.
Sample units
- make connections within and between mathematical concepts including making connections to real-life experiences
- highlight and reinforce the role of working mathematically and student reasoning
- include rich mathematical tasks, resources and opportunities for assessment and differentiation
- address all syllabus outcomes for Stage 2 and Stage 3
- comply with curriculum policy and registration requirements.
Before engaging with sample units, it is imperative to develop a deep understanding of the Mathematics K–10 Syllabus (2022) and the underpinning evidence base.
Professional learning
- Department microlearning course NR40415 (elective professional development)
- Introduction to Mathematics 3–6 Syllabus (NESA) – all NSW teachers have access to the course by logging into NESA Online Learning.
Resources
Mathematics K–10 (2022) Syllabus (Years 3–6) – information for school leaders
How to use sample units
Sample units are optional resources to support classroom teachers in designing high-quality teaching and learning experiences for students.
Like any resource, sample units must be reviewed for suitability prior to use. Teachers should exercise professional judgement when making these decisions. Teachers are strongly encouraged to adapt and modify sample units to reflect their whole-school approach to mathematics and to meet their students’ learning needs.
Note
Where staff cannot adapt or modify sample units, consider use of alternatives that:
- have a strong evidence base
- are better matched to local-level curriculum requirements
- are more effective in meeting student needs.
All units are best viewed digitally as opposed to printed hard copies.
To move through sections of a unit, open the unit and view the navigation pane (Ctrl+F or select View > Navigation pane). In the navigation pane, select the Headings tab.
To go to a heading in a sample unit, select that heading in the navigation pane. This allows teachers to view headings without scrolling.
Each sample unit has been designed using the following structure:
- Title – indicates key learning area, stage of learning and unit number.
- Contents – key reference page to support navigation.
- Unit description and duration – describes the focus of the unit and indicates suggested student prior learning experiences. All sample K-2 units are 2 weeks in duration.
- Lesson overview and resources – a high-level summary of each lesson, including indicative times, resources, and syllabus focus areas and content groups.
- Lessons 1 to 8 – every sample unit comprises 8 lessons. Each lesson includes
- the core concepts
- learning intentions and success criteria
- activities (daily number sense, consolidation and meaningful practice)
- discuss and connect the mathematics
- indicative times to support weekly timetabling
- prompts and anticipated student responses
- assessment opportunities (What to look for? What to collect?)
- differentiation ideas (Too hard? Too easy?)
- where relevant, content points show links to the National Numeracy Learning Progression (Version 3) identified.
- Optional assessments – provides short, flexible activities to monitor student understanding and guide teaching decisions. These formative assessments align with the department's Effective assessment advice.
- Resources – for whole class display or distribution to small groups/individual students.
- Syllabus outcomes and content – syllabus intent is explicitly indicated through relevant focus areas, outcomes, content groups and content points.
- References – provide links to third-party material, websites and further reading.
Sample units are provided as a starting point for teachers to contextualise learning for their students. Implementation of inclusive practices in planning, programming, and assessing supports learning for the full range of students and ensure all students can access and engage with the units.
In NSW classrooms there is a diverse range of students including:
- Aboriginal and/or Torres Strait Islander students
- students learning English as an additional language or dialect, including Aboriginal English speakers
- high potential and gifted students
- students with disability.
Some students may identify with more than one of these groups, or possibly all of them.
Advice for teachers on curriculum planning for every student in every classroom.
Teachers are also encouraged to enrol in ‘Curriculum planning for every student in every classroom’, available in MyPL, to explore curriculum planning strategies and resources to optimise learning for every student.
Use comments to annotate a unit, including to show evidence of strategies to optimise learning for specific groups of students, or individual students. This could include strategies to enhance teaching and learning, such as differentiation or personalised adjustments.
To learn how to share comments read Share and collaborate with Word for the web. Staff can reply to a comment, adding further detail about the level, type and effectiveness of support provided to a student or group of students.
3–6 resources
A term-by-term view of the Mathematics 3–6 units is available on Mathematics 3–6 units (staff only).
For NSW public schools, all 3–6 mathematics resources are available in our Mathematics K–6 resource catalogue (staff only).
Quality assurance
Sample units have undergone a rigorous quality assurance process as part of our commitment to improving school support. The process ensures that all sample units provided to schools are relevant, of high quality, and underpinned by evidence-based practice.
Alignment to School Excellence Framework
These resources support the School Excellence Framework and clearly align to the following domains and themes:
Learning domain
Curriculum: Curriculum provision, Teaching and learning programs
Assessment: Whole school monitoring of student learning
Student performance measures: NAPLAN
Teaching domain
Effective classroom practice: Lesson planning, Explicit teaching
Learning and development: Collaborative practice and feedback; Expertise and innovation
Leading domain
Educational leadership: Instructional leadership
Alignment to system priorities and/or needs
These resources reflect the following existing frameworks:
Australian Professional Standards for Teachers
- 1.2 – Understand how students learn
- 1.5 – Differentiate teaching to meet the specific learning needs of students across the full range of abilities
- 2.1 – Content and teaching strategies of the teaching area
- 2.2 – Content selection and organisation
- 2.3 – Curriculum, assessment and reporting
- 2.5 – Literacy and numeracy strategies
- 3.1 – Establish challenging learning goals
- 3.2 – Plan, structure and sequence learning programs
- 3.3 – Use teaching strategies
- 3.4 – Select and use resources
- 5.1 – Assess student learning
- 7.2 – Comply with legislative, administrative and organisational requirements
Curriculum planning and programming assessing and reporting to parents K–12 policy
Registration process for monitoring the government schooling system
Consultation
Resources have been developed with NSW school-based writing teams as part of the department's Curriculum Partnership Schools project. Subject matter experts from Curriculum Early Years and Primary Learners endorsed documents to ensure accuracy of content.
Evidence base
The evidence base for these resources is:
Contact
Email questions, comments and feedback about these resources to mathematicsk6@det.nsw.edu.au.