Two students working on a maths grid activity with cards and counters

Our Learning

Numeracy at WPS

Real-life tasks, hands-on investigations, explicit teaching and problem solving — building mathematical thinkers from Foundation through to Year 6.

Mathematics in everyday life.

Numeracy is the knowledge, skills, behaviours and dispositions that students need in order to use mathematics in a wide range of situations. It involves recognising and understanding the role of mathematics in the world and having the dispositions and capacities to use mathematical knowledge and skills purposefully.

At WPS, our mathematics program is built on the Victorian Curriculum F–10 Version 2.0, covering six interconnected strands — Number, Algebra, Measurement, Space, Statistics and Probability — taught explicitly and explored through rich, open-ended tasks every day.

Explicit teaching underpins mathematics instruction in every strand and at every year level. Teachers model new concepts and strategies clearly, guiding students through worked examples before they practise and apply their learning independently. Whether it's place value, fractions, measurement or data, our teachers use a consistent I Do / We Do / You Do lesson structure — first demonstrating the thinking, then working through problems together, and finally releasing responsibility so students can consolidate their understanding with confidence.

This explicit approach ensures that foundational skills, mental strategies and mathematical language are taught systematically, giving every student the secure knowledge base they need to engage with rich, open-ended problem solving — and to use mathematics purposefully in everyday life.

NumberAlgebraMeasurementSpaceStatisticsProbability

Four mathematical capabilities

Understanding

Building conceptual knowledge of mathematical ideas and how they connect to real-world situations.

Fluency

Developing accuracy and efficiency with mathematical facts, procedures and mental strategies.

Problem Solving

Applying mathematics to unfamiliar situations with flexibility, creativity and persistence.

Reasoning

Explaining and justifying mathematical thinking logically, clearly and with evidence.

Student working on a multiplication activity with linking cubes
Hands-on learning with linking cubes brings multiplication concepts to life.
Student working through multiplication problems with red counters
Concrete materials help students model and explain their mathematical thinking.

Our Teaching Philosophy

The power of productive struggle.

At WPS, we intentionally create opportunities for students to struggle productively with mathematics. This means giving students tasks that are genuinely challenging — problems that require thinking, not just recalling a memorised procedure.

Research consistently shows that when students work through difficulty themselves, they develop a deeper and more durable understanding of mathematical concepts than when they are shown a method to copy. The effort of working something out strengthens neural pathways and builds genuine mathematical confidence.

Our teachers carefully design tasks that sit in each student's "zone of proximal development" — challenging enough to require real thinking, but accessible enough that with persistence and the right support, every student can experience success.

Importantly, productive struggle is not about leaving students to flounder. Our teachers observe, prompt with questions, encourage peer discussion and celebrate the process of thinking — not just correct answers.

Deeper Understanding

Students build genuine conceptual knowledge, not just procedural memory.

Growth Mindset

Mistakes are reframed as essential steps in the learning journey.

Lasting Confidence

Students who struggle and succeed believe they can solve hard problems.

The Learning Pit — a graphic showing the journey of productive struggle from easy learning to deep learning and eureka

Teaching Model

Inquiry Numeracy Model

The latest evolution of our teaching and learning program is the implementation of an Inquiry Numeracy model that uses open-ended questions and problem-solving activities to engage students in active learning and promote a deeper understanding of mathematical concepts.

Tasks have many different entry points — encouraging discussions and student-led investigations that build critical thinking and analytical skills regardless of where a student is starting from.

Download Numeracy Overview (PDF)

Curriculum Planning

Mathematics Scope & Sequence — Foundation to Year 6.

Our yearly mathematics plan is structured into four terms, each with a clear focus aligned to the Victorian Curriculum. Below is a summary of the key concept areas covered each term, from Foundation through to Level 6.

Term 1

Place Value, Number Facts & Time

  • Place Value & Partitioning
  • Estimation & Rounding
  • Addition & Subtraction Facts
  • Multiplication Foundations
  • Time & Duration

Term 2

Fractions, Patterns & Data

  • Addition & Subtraction
  • Fractions & Equivalency
  • Number Sequences & Patterns
  • Shapes & Space
  • Statistics — Collecting & Organising Data

Term 3

Multiplication, Money & Measurement

  • Sharing, Grouping & Multiplication
  • Division Strategies
  • Number Facts — Multiplication & Division
  • Money & Financial Contexts
  • Length, Mass, Capacity & Angles

Term 4

Algorithms, Location & Probability

  • Algorithms & Number Patterns
  • Statistics — Creating & Interpreting Graphs
  • Space & Location
  • Probability & Chance Experiments
  • Number Revision

Download

Full Mathematics Scope & Sequence 2025

The complete Foundation to Level 6 scope and sequence, including all Victorian Curriculum content descriptors for every term — suitable for printing at A3.

Download Scope & Sequence (PDF)

Acknowledgement of Country

Warrandyte Primary School acknowledges the Wurundjeri people, the Traditional Custodians of the land we live, work and travel upon, and we pay our respect to Elders past and present. We recognise and respect the history, culture, diversity and continuing connection of Aboriginal and Torres Strait Islander peoples to Country.

Warrandyte Primary SchoolSchool No. 12 · Warrandyte, Victoria

A Victorian Government primary school combining a strong community, rich local heritage and evidence-informed teaching to help every child learn, belong and thrive.

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© 2026 Warrandyte Primary School. A Victorian Government school.

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