Curriculum – Mathematics

Curriculum Aims

Provide Inclusive and Ambitious Challenge for all

  • Design an inclusive Mathematics curriculum that removes barriers to learning through careful sequencing and clear mathematical modelling to ensure equality of access and high expectations for all pupils.
  • Adapt teaching responsively through strong formative assessment (with an emphasis on check points, mini-whiteboards and timely hinge questioning)  and adaptive independent practice, enabling misconceptions to be addressed promptly and ensuring pupil learning is scaffolded to reach the highest outcomes.
  • Use evidence from assessment, pupil work and engagement to regularly review and refine the Mathematics curriculum, ensuring it remains ambitious, coherent and effective for all learners.

Build Knowledge, Skills and Understanding

  • To develop students that think critically and equip students with problem solving skills which they can apply to a variety of mathematical, real-life and cross-curricular areas
  • To create students that don’t just ‘do Maths’, but that really understand why mathematical concepts work and how topics interconnect with other topics
  • To equip students with a variety of models which can be applied to mathematical concepts

Develop Literacy and Numeracy

  • To create students who are numerate and to foster a love of learning about mathematical concepts, and who recognise Mathematics in the World around them.
  •  Prioritise the development of mathematical language and vocabulary, so pupils can explain their thinking clearly, justify methods and interpret mathematical information accurately.
  • Support numeracy development through enrichment opportunities such as Maths Ambassadors mentoring KS3 pupils to strengthen times tables knowledge and build confidence.

Establish the value of Mathematics to the Individual, the World of Work and Society

To develop life skills that students will use beyond their time in school. Students will be critical consumers, be aware of larger economical issues, be able to manage risk, plan for expenditure and understand debt.

Explore Ethical, Cultural and Moral Dimensions of Learning

  • Explore ethical and social dimensions of Mathematics, including fair use of data, financial responsibility and informed decision-making.
  • Develop pupils’ awareness of how Mathematics underpins contemporary issues such as economics, technology and global challenges, helping them to become thoughtful and responsible citizens.

Knowledge & Skills

Progression Summary

In very general terms, the progression of skills and knowledge from year 7 – 11 is shown below. All students follow the same route throughout their time at Droylsden Academy and the decisions about whether students will follow the Foundation or the Higher pathway is not decided until the third term of year 10. More specific skills and knowledge breakdown is on the following pages.

YearMain Focus
Year 7Numerical fluency and foundational algebra
Year 8Generalisation, percentages, graphs and 3D geometry
Year 9GCSE bridge topics (quadratics, Pythagoras, similarity)
Year 10Core GCSE content and mathematical modelling
Year 11 FoundationConsolidation of GCSE Foundation content
Year 11 HigherAdvanced GCSE Higher content and proof
YearKey KnowledgeKey Skills
7Number Place value and number sense Four operations with integers Negative numbers Order of operations Factors, multiples and prime numbers Fractions, decimals and percentages Basic proportion Algebra Algebraic expressions Substitution One-step and simple two-step equations Single brackets Geometry & Measures Time and measures Properties of 2D shapes Coordinates Perimeter and area Angle facts Statistics & Probability Averages and range Tables and charts Data collection Theoretical probabilityCalculate accurately using all four operations Apply BIDMAS/order of operations Compare and order fractions Convert between fractions, decimals and percentages Simplify and evaluate expressions Solve simple equations Find perimeter and area Plot and interpret coordinates Use angle facts to find unknown angles Calculate probabilities from simple outcomes Interpret and present data clearly  
8Number Percentages and percentage change Money calculations Indices and index laws Significant figures Standard form Recurring decimals Algebra Equations Sequences Inequalities Double brackets Algebraic fractions Geometry & Measures Area and circumference of circles Surface area and volume Nets of 3D shapes Transformations Coordinates and midpoints Statistics Statistical diagrams Venn diagrams Ratio Ratio notation Scale diagramsCalculate percentage increases and decreases Apply index laws Round to significant figures Use standard form in calculations Generate and analyse sequences Solve inequalities Expand double brackets Simplify algebraic fractions Calculate area, circumference, surface area and volume Perform transformations accurately Interpret Venn diagrams Draw and analyse statistical diagrams.
9 (For 2026-27 only. We are currently rolling out a new scheme. These students followed something different in their year 7 and 8)Number Prime numbers, factors, HCF and LCM Fractions and reciprocals Standard form Rounding, estimation and significant figures Percentages and financial mathematics Algebra Expanding and factorising brackets Solving linear equations and rearranging formulae Algebraic graphs and coordinates Simultaneous equations (graphical) Substitution and forming equations Geometry Transformations Angles and properties of shapes Pythagoras’ Theorem and trigonometry Area, perimeter and circles Constructions and loci Ratio & Proportion Ratio and sharing Direct and inverse proportion Currency conversion and conversion graphs Percentage change Real-life proportional reasoning Statistics & Probability Two-way tables, frequency trees and Venn diagrams Averages and comparing distributions Scatter graphs and correlation Pie charts Probability from tables and list  Perform accurate calculations with integers, fractions and percentages. Round numbers and estimate answers effectively. Work confidently with standard form. Simplify, expand and factorise algebraic expressions. Solve linear equations and rearrange formulae. Plot, interpret and use algebraic graphs. Solve ratio, proportion and percentage problems. Apply Pythagoras’ Theorem and basic trigonometry. Calculate perimeter, area and the circumference and area of circles. Use transformations, constructions and angle facts to solve geometric problems. Interpret and analyse statistical diagrams and data. Calculate probabilities using tables, frequency trees and Venn diagrams. Solve multi-step mathematical problems in real-life contexts. Explain mathematical reasoning using appropriate mathematical language.  
10Number Advanced percentages Indices and recurring decimals Compound measures Algebra Simultaneous equations Formulae Sequences Graphs Geometry Trigonometry Surface area and volume Constructions Transformations Statistics & Probability Tree diagrams Statistical analysis Data handling Ratio & Proportion Advanced proportional reasoningSolve simultaneous equations Apply trigonometry in right-angled triangles Use and rearrange formulae Model situations using graphs Calculate compound measures Interpret tree diagrams Solve complex ratio and proportion problems Use transformations and geometric reasoning Work with sequences and patterns  
11 (Foundation)Number Fractions Percentages Standard form Factors, multiples and primes Algebra Expressions Equations Inequalities Sequences Linear graphs Geometry Angles Right-angled triangles Surface area and volume Vectors Statistics & Probability Probability Statistical diagrams Ratio & Proportion Ratio and proportion Compound measuresSolve multi-step equations and inequalities Use percentages in real-world contexts Apply ratio and proportion methods Calculate probabilities Interpret and draw statistical diagrams Solve problems involving surface area and volume Use vectors and coordinate reasoning Analyse linear graphs  
11 (Higher)Advanced Number Surds Algebraic fractions Advanced Algebra Functions Equations Iteration Algebraic proof Advanced Geometry Pythagoras and trigonometry Circle theorems/geometry Similarity Geometric proof Transformations Statistics & Probability Probability Statistical diagrams Graphs Advanced graph interpretation  Manipulate and simplify surds Work fluently with algebraic fractions Use function notation Solve iterative processes Construct algebraic proofs Apply trigonometry in complex contexts Use circle geometry theorems Prove geometric relationships Analyse and interpret advanced graphs

Sequence of Learning

Year 7 curriculum
 ½ term 1½ term 2½ term 3½ term 4½ term 5½ term 6
TopicNumber sense and calculations  Expressions and equations, measures2d shapes, perimeter and area, coordinatesFactors, multiples and primes, fractions, bracketsAngles, handling data, proportionFractions, decimals and percentages, probability
Year 8 curriculum
 ½ term 1½ term 2½ term 3½ term 4½ term 5½ term 6
TopicPercentages, Money, Indices  Equations, sequences, ratioRounding, coordinates, area, circlesStandard form, Venn diagrams, 3d shapes, surface area and volumeLinear graphs, transformations, angles, statistical diagramsInequalities, brackets, algebraic fractions, recurring decimals
Year 9 curriculum
 ½ term 1½ term 2½ term 3½ term 4½ term 5½ term 6
TopicProbability diagrams Prime numbers Direct proportion Rounding Percentage changePercentage change (cont) Fractions Ratio Proportion TransformationsStandard form Brackets Solving equations Averages Scatter graphsCoordinate geometry  Pythagoras and trigonometry Angles Similarity and congruence Pie ChartsProbability Plans and elevations Constructions and Loci Circles
Year 10 curriculum – all students
 ½ term 1½ term 2½ term 3½ term 4
TopicPercentages, Surface area and volume, simultaneous equationsFormulae, Trigonometry, ConstructionsLinear graphs, Real-life graphs, set notations, tree diagramsCompound measures, ratio, Graphs
Year 10 curriculum – Foundation
 ½ term 5½ term 6
TopicSequences, Handling data, proportion, transformationsRounding, Indices, Brackets, handling data and statistics
Year 10 curriculum – Higher
 ½ term 5½ term 6
TopicSequences, Handling data, proportion, transformations  Rounding, Indices, Recurring decimals, Brackets, handling data and proportion
Year 11 – Foundation
 ½ term 1½ term 2½ term 3½ term 4½ term 5½ term 6
TopicFactors, multiples and primes, fractions, expressions, equationsAngles, Right-angled triangles, surface area and volume, statistical diagramsProbability, Inequalities, Vectors, Percentages, Compound measureRatio and proportion, Standard form, sequences, linear graphsRevisionN/A
Year 11 – Higher
 ½ term 1½ term 2½ term 3½ term 4½ term 5½ term 6
TopicSurds, Algebraic fractions, equationsPythagoras and trigonometry, circle geometry, statistical diagramsProbability, inequalities, functions, transformation, iterationAlgebraic proof, similarity, geometric proof, graphsRevisionN/A

Example Scheme of Work

This is an example of one unit of work in Mathematics (Year 8, Unit 1)

The key features are:

  • Where the unit fits into the overarching scheme
  • The key objectives for this unit
  • Details of each learning episode
  • Details of any objectives beyond the National Curriculum
  • Key vocabulary
  • Common misconceptions and how they are tackled (e.g. KAP Points and hinge questioning)

Lessons are created in SMART Notebook and shared centrally and are adapted for the needs of the students.

RHSE in Mathematics

The Mathematics curriculum makes a significant contribution to the delivery of RHSE by embedding real-life contexts, decision-making, resilience, and financial literacy throughout both KS3 and KS4. Although Mathematics does not directly teach statutory Relationships and Sex Education content, it supports many aspects of the wider RHSE framework by developing students’ confidence, independence, critical thinking, and understanding of the wider world. The curriculum encourages students to apply mathematical skills to realistic scenarios, helping them to make informed choices and prepare for adult life.

Within the Health and Wellbeing strand, Mathematics promotes resilience, self-reflection, and positive learning behaviours. Students regularly evaluate their progress through assessments, Question Level Analysis (QLAs), and independent learning platforms such as Sparx Maths. This encourages students to identify strengths and areas for development, set realistic goals, and build confidence in overcoming challenge. Revision activities and exam preparation at KS4 also help students to develop organisation, time management, and coping strategies linked to managing stress and responsibility. In addition, statistical investigations and data-handling activities encourage students to analyse information critically, supporting informed thinking around health, wellbeing, and social issues.

The curriculum also contributes to the Relationships strand through collaborative learning, discussion, and the interpretation of social data. Students frequently work together to solve problems, explain reasoning, and communicate mathematical ideas respectfully, which helps develop teamwork and communication skills. Through statistical analysis, students explore how data can represent populations and influence public opinion, encouraging critical thinking about fairness, equality, and representation. Activities linked to university aspirations, careers, and social trends help challenge stereotypes and broaden students’ understanding of opportunities available to different groups within society.

The strongest contribution of Mathematics to RHSE is within the Living in the Wider World strand, particularly through financial education. Financial literacy is embedded across KS3 and KS4 and gives students practical knowledge that will support them beyond school. Students study topics such as budgeting, savings, bank accounts, wages, taxation, interest, mortgages, renting, loans, and credit cards. These contexts allow students to understand how mathematics applies to everyday financial decisions and develop the skills needed to manage money responsibly. Students also explore percentage profit and loss, depreciation, and compound interest, helping them understand the long-term consequences of borrowing and saving.

At KS3, students are introduced to key concepts linked to employment, spending, and personal finance, including the difference between luxury and essential spending, minimum wage calculations, and budgeting decisions. They also consider real-life financial risks such as payday loans and debt, which supports safeguarding and informed decision-making. At KS4, students deepen this understanding through more advanced financial mathematics, including student loans, interest calculations, and the risks associated with gambling and borrowing. These topics are particularly valuable in preparing students for post-16 education, employment, and independent living.

Mathematics also supports careers education and aspiration by demonstrating the relevance of mathematical skills within a wide range of professions and future pathways. Students encounter real-world applications of data and finance, helping them recognise the importance of mathematics in employment and everyday life. Through these experiences, students develop critical thinking, problem-solving, and analytical skills that contribute positively to their personal development and future economic wellbeing.

Overall, the Mathematics curriculum provides meaningful and relevant opportunities to support RHSE across all key stages. By linking mathematical learning to real-life contexts, students develop resilience, financial capability, informed decision-making, and an understanding of the wider world, helping to prepare them for successful and responsible adult lives.

Citizenship in Mathematics

In maths lessons, citizenship is developed by encouraging pupils to work together respectfully, listen to different viewpoints, and support one another when solving problems. Students learn to take responsibility for their learning, contribute positively to group activities, and understand how maths is used in everyday life and society.

British Values in Mathematics

British values are promoted through maths by fostering mutual respect, tolerance, and individual liberty. Pupils are encouraged to share their methods and ideas confidently while respecting the opinions of others. The rule of law is reflected in following mathematical rules and procedures, and democracy is supported through discussion and collaborative decision-making during tasks.

SMSC in Mathematics

SMSC (Spiritual, Moral, Social and Cultural development) is embedded throughout maths lessons. Spiritual development is encouraged through curiosity and appreciation of patterns and problem-solving. Moral development is supported by promoting honesty and perseverance, while social development grows through teamwork and communication. Cultural development is enhanced by exploring the contributions of mathematicians from different cultures and understanding the global importance of mathematics.