Foundational Knowledge in Mathematics

A secure grasp of foundational mathematical knowledge is essential for children's long‑term success in maths. At our school, this underpins every aspect of our curriculum design, teaching, assessment and intervention.

What We Mean by Foundational Knowledge

Foundational knowledge refers to the core concepts, skills and mathematical behaviours children must master before they can progress confidently to more complex ideas. These include:

• Early number sense
• Understanding of composition and comparison
• Secure recall of key number facts
• Use of concrete and pictorial representations
• Understanding place value
• Mathematical language and reasoning

Our expectations for foundational knowledge are carefully sequenced and set out clearly in our Whole School Foundational Knowledge and Skills Progression document, ensuring consistency and continuity from FS2 to Year 6. This document also outlines adaptations for SEND learners, ensuring all children have access to the building blocks needed for success.

Why Foundational Knowledge Matters

For our pupils — many of whom face disadvantage, language barriers or learning needs — secure foundational knowledge is essential. It allows children to:

• Access new learning more independently
• Participate confidently in mathematical talk
• Work flexibly with number and structure
• Apply known facts to new contexts
• Reason and justify using stem sentences
• Close gaps and keep up with the learning journey

Our detailed progression ensures that no child is left behind and that every learner, regardless of starting point, has access to the building blocks of mathematical success.

How Foundational Knowledge Links to Our Maths Curriculum

1. Teaching for Mastery & The Five Big Ideas

The five big ideas — coherence, variation, representation & structure, mathematical thinking and fluency — rely on strong foundational knowledge. Without secure fluency and number sense, children struggle to reason, spot patterns or make connections.

2. White Rose Maths Sequencing

White Rose small steps build progressively on prior knowledge. Before each block is taught, teachers use the White Rose end‑of‑block assessments to check whether foundational concepts are secure. Gaps identified at this stage shape pre‑teaching and adaptations.

3. Mastering Number (FS2–Y5)

Mastering Number directly strengthens core foundations such as:

• Subitising
• Composition of number
• Addition/subtraction facts
• Counting structures
• Understanding of number relationships

This work links explicitly to our foundational knowledge progression, ensuring early number concepts are secure before moving on.

4. TA Hub Pre‑Teaching and SEND Adaptations

Using TA Hub White Rose resources, teachers deliver targeted pre‑teaching for:

• Pupils working well below age‑related expectations
• Children with SEND
• Pupils whose foundational knowledge has gaps

These resources break learning into the small steps outlined in your school’s foundational progression, offering scaffolded activities that align perfectly with the main teaching sequence.

Our Foundational Knowledge Progression document sets out the key mathematical knowledge from FS2–Y6 and is used to:

• Identify essential prior knowledge before teaching each unit
• Ensure pupils with gaps receive targeted pre‑teaching
• Provide structured progression for pupils with SEND
• Support teachers’ planning and adaptation

This ensures children build secure foundations in number, calculation and reasoning, enabling long‑term success.

How We Assess Foundational Knowledge

• Daily AFL (questioning, mini‑whiteboards, retrieval tasks) identifies misconceptions immediately.
• End‑of‑block White Rose assessments confirm readiness for new content.
• Targeted pre‑teaching ensures gaps are addressed before whole‑class teaching.
• TA Hub diagnostic tasks help staff pinpoint specific foundational barriers.
• Ongoing use of manipulatives and visual models ensures conceptual understanding is constantly reinforced.

The findings from these assessments feed directly into our planning, grouping and adaptive teaching decisions.