Mathematics
Intent
At Alkerden, we believe that a high-quality mathematics education is an essential foundation for everyday life and crucial for our learners’ future. Our intent is to ensure that every learner develops a deep, secure and adaptable understanding of mathematics through a mastery approach.
We aim for every learner to become fluent in the fundamentals of mathematics, developing efficiency, accuracy and confidence in recalling and applying key number facts. Alongside this, learners are supported to reason mathematically by spotting patterns, making connections and clearly explaining their thinking using precise mathematical language. We place equal importance on learners being able to solve problems by applying their mathematical understanding to real-life and unfamiliar situations, encouraging them to think flexibly and choose appropriate strategies.
At Alkerden, we want learners to see mathematics as more than just numbers; we strive for them to appreciate its beauty, power and importance in the wider world. Through carefully structured learning, we ensure that concepts are introduced in small, coherent steps, enabling learners to build deep conceptual understanding using a range of representations and the concrete–pictorial–abstract approach.
We are committed to developing each learner’s curiosity and confidence in mathematics. Through consistent and carefully planned teaching, we create an environment where learners feel supported to explore ideas, take risks and learn from mistakes. We want every learner to enjoy their mathematical journey, feel successful and view mathematics as a subject where perseverance and exploration are valued.
By the time learners leave Alkerden CE Academy Primary Phase, they will be confident, resilient and reflective mathematicians who are well-equipped with the knowledge and skills they need for the next stage of their education and for life beyond the classroom.
Implementation
Our mathematics curriculum is implemented through a carefully structured mastery approach, ensuring that all learners develop deep and secure understanding over time. Teaching is guided by the White Rose Maths scheme, which provides clear progression through small, coherent steps, allowing learners to build knowledge cumulatively and make meaningful connections between concepts.
Lessons are designed using the concrete–pictorial–abstract (CPA) approach so that learners first experience mathematical ideas through hands-on resources and manipulatives, before moving to visual representations and then to abstract concepts. This supports learners in developing a secure conceptual understanding and the ability to apply their knowledge flexibly.
Fluency is prioritised through daily practice and revisiting of key skills, particularly in number. In EYFS and Key Stage 1, the NCETM Mastering Number programme is embedded to strengthen learners’ understanding of number, with a focus on subitising, composition of number and automatic recall of key facts. This consistent approach continues into Key Stage 2 through regular retrieval and application opportunities.
Mathematical talk is central to all lessons. Learners are encouraged to explain their thinking, justify their answers and engage in discussion using precise mathematical vocabulary. Teachers use questioning, sentence stems and structured discussion to deepen reasoning and ensure all learners can articulate their understanding.
Problem solving is integrated into every lesson, enabling learners to apply their knowledge in a variety of contexts, including real-life and unfamiliar situations. Learners are supported to develop resilience, independence and the ability to select efficient strategies, recognising that there are often multiple ways to reach a solution.
Adaptive teaching ensures that all learners can access the curriculum and achieve success. Teachers use ongoing assessment to identify misconceptions and respond promptly through scaffolding, targeted support and appropriate challenge. Rather than accelerating learners through new content, greater depth is achieved by exploring concepts more deeply and making richer connections.
Across the school, there is a consistent approach to lesson structure, representations and mathematical language, ensuring continuity and progression for all learners. Through high-quality teaching, purposeful practice and a focus on understanding, we enable learners to develop confidence, curiosity and a positive attitude towards mathematics.
Impact
The impact of our mathematics curriculum is seen in learners that develop a deep, secure and connected understanding of mathematical concepts as they progress through the school. Through our mastery approach, underpinned by White Rose Maths and the NCETM Mastering Number programme, learners will build strong fluency in key number facts alongside the ability to reason and solve problems with increasing confidence.
Learners will demonstrate growing accuracy, efficiency and flexibility in their mathematical thinking. They will be able to recall and apply knowledge, make connections between different areas of mathematics and use a range of strategies to approach problems. Their ability to explain, justify and prove their thinking using precise mathematical language will reflect a deepening level of understanding.
As learners move through the school, they will become increasingly independent and resilient. They will approach challenges with confidence, be willing to take risks in their learning and understand that mistakes are an important part of the learning process. Learners will show curiosity and engagement, recognising mathematics as a subject that requires thinking, exploration and perseverance.
Outcomes will show that learners achieve well and make sustained progress from their starting points. Gaps in understanding will be identified and addressed quickly, ensuring that all learners, including those who may be disadvantaged, are supported to succeed. High expectations for all learners will ensure that the majority meet age-related expectations, with many demonstrating greater depth through reasoning and problem solving.
As Alkerden CE Academy Primary Phase continues to grow, learners will be well-prepared for the next stage of their education. They will develop the confidence, skills and understanding to apply mathematics in a range of contexts and will recognise its importance in everyday life. Most importantly, they will develop a positive attitude towards mathematics, seeing themselves as capable and confident mathematicians.
Mathematics Across the Stages
Early Years Foundation Stage (EYFS)
Learners will begin their mathematical journey through a rich, play-based and practical approach, in line with the Early Learning Goals for Number and Numerical Patterns. They will develop an understanding of numbers to 10 and their relationships, alongside building confidence in subitising small quantities, counting beyond 20 and exploring early number bonds. Through hands-on experiences with manipulatives, learners will begin to explore concepts such as doubling, sharing and simple addition and subtraction. They will also investigate 2D and 3D shapes, space, measures and patterns, laying the foundations for geometry and spatial reasoning. Mathematics will be embedded throughout daily routines and continuous provision, enabling learners to develop understanding in meaningful contexts. A strong emphasis will be placed on developing a positive attitude, where learners are encouraged to notice patterns, talk about their thinking, make mistakes and see mathematics as a creative and exploratory subject.
Key Stage 1 (Years 1-2)
Learners will build on the strong foundations established in the Early Years, developing secure understanding of number and place value in line with the National Curriculum. Through a mastery approach, supported by White Rose Maths and the NCETM Mastering Number programme, learners will develop fluency in addition and subtraction facts within 20, and begin to apply this knowledge to solve problems.
Learners will deepen their understanding of number through the use of concrete resources, pictorial representations and abstract methods, enabling them to make connections and explain their thinking clearly. They will begin to explore multiplication and division through grouping and sharing and develop confidence in recognising fractions as part of a whole. Alongside number, learners will investigate shape, measurement and statistics, building their understanding of the wider mathematical curriculum.
Mathematical talk will be central to learning, with learners encouraged to explain, justify and reason using precise vocabulary. Through carefully structured lessons and opportunities for problem solving, learners will develop confidence, resilience and independence, seeing themselves as capable mathematicians who can apply their learning in a range of contexts.
Key Stage 2 (Years 3-6)
Learners will continue to build on their mathematical foundations, developing greater depth, fluency and independence across all areas of the curriculum. Through a mastery approach, supported by White Rose Maths and the NCETM principles, learners will strengthen their understanding of number, including place value, the four operations, fractions, decimals and percentages.
Learners will be supported to apply efficient written and mental methods, while maintaining a strong conceptual understanding through the continued use of representations and the concrete–pictorial–abstract approach where appropriate. They will explore more complex concepts such as ratio, algebra and proportion, and develop their understanding of geometry, measurement and statistics.
A strong emphasis will be placed on reasoning and problem solving, with learners encouraged to explain their thinking, justify their methods and make connections across different areas of mathematics. They will tackle increasingly complex problems, including real-life and unfamiliar contexts, developing resilience and the ability to think strategically.
As learners progress through Key Stage 2, they will become more confident and independent mathematicians who can select appropriate strategies, reflect on their learning and apply their knowledge with increasing accuracy and efficiency. They will recognise the relevance of mathematics in the wider world and be well prepared for the next stage of their education.
Inclusion & Support
At Alkerden, we recognise that each learner is unique. We are committed to providing equal opportunities for all, including those who may need additional support. We adapt teaching, provide targeted interventions, and use a flexible approach, ensuring that every learner can access the mathematics curriculum and succeed.
Enrichment & Beyond the Curriculum
We believe mathematics is not only for the classroom, it’s a life skill. We encourage learners to see maths in everyday life, explore its beauty, and enjoy discovering patterns and solving problems. As they grow, they will become more confident, resilient and creative thinkers, equipped not just with skills, but with a positive and curious attitude towards mathematics.
For families seeking additional practice or enrichment, we recommend a range of online resources and games that support fluency and enjoyment. (For example: educational maths websites, mental-arithmetic games, times-tables practice activities.)
Extra Resources
Further Mathematics Help
Fun Mathematics Games