Mathematics
Mathematics is an important and exciting subject because it has direct and valuable applications for students in many areas of life. It makes an essential contribution to a student’s education by developing a wide range of skills which can be applied across the curriculum.
As a department we are committed to the philosophy that during the five core years, each student should:
- Develop fluency in their mathematical skills and confidence in using them effectively; understand the significance of results and estimate whether or not an answer is reasonable.
- Tackle increasingly difficult problems, learn from their mistakes and develop high levels of resilience.
- Apply mathematics to everyday situations and appreciate how mathematics can be used to solve real life problems, including in other subjects.
- Reason mathematically, generalising findings and develop and communicate arguments using mathematical language, both orally and in writing.
- Experience a feeling of progress and success in the subject throughout their school life through being prepared for the demands of their GCSE and beyond.
We are committed to pushing students towards fulfilling their potential, irrespective of their starting point. We believe that students should be encouraged to learn not just mathematical content, but the full range of skills required in order to apply this when solving problems. We plan all our lessons to engage students with the subject, and to build confidence.
Over the last four years, we have been involved, with other local schools, in the national ‘Teaching for Mastery’ initiative. Mastery is achieved through developing procedural fluency and conceptual understanding in tandem, since each supports the other. Lessons are designed to have a high-level of teacher-student and student-student interaction where all students in the class are thinking about, working on and discussing the same mathematical content. Every lesson has a highly focussed objective. Teachers model new concepts using worked examples, giving explicit instructions and explanations. Challenge and the opportunity to deepen understanding of the key mathematical ideas is provided for all. Differentiation is achieved, not through offering different content, but through paying attention to the levels of questioning, support and challenge needed to allow every student to fully grasp the concepts and ideas being studied. This ensures that all students gain sufficiently deep and secure understanding of the mathematics to form the foundation of future learning before moving to the next part of the curriculum sequence. Students are encouraged to make notes in lesson to support their learning. They do this in their exercise books along with independent consolidation work which they complete.
Enrichment
UK Maths Challenge
Students in the top sets in all year groups plus all our sixth form students have the opportunity to take part in the UK Maths Challenge. This is a national Mathematics competition aimed to challenge the most able students. We have had many successes at all levels with several pupils each year being asked to take part in further competitions by the invitation of the organisers. These competitions give the very best students the chance to shine and if you can achieve at this level, you really can describe yourself as a mathematician! This year we had several Golds, including one in the senior section, this was an amazing result.
Curriculum Overview by Year Group and Term
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Download Maths Curriculum Overview(160 KB)
| Band A |
Band B |
- Use positive integer powers and associated real roots
- Apply the four operations with decimal numbers
- Write a quantity as a fraction or percentage of another
- Use multiplicative reasoning to interpret percentage change
- Add, subtract, multiply and divide with fractions and mixed numbers
- Check calculations using approximation, estimation or inverse operations
- Simplify and manipulate expressions by collecting like terms
- Simplify and manipulate expressions by multiplying a single term over a bracket
- Substitute numbers into formulae
- Solve linear equations in one unknown
- Understand and use lines parallel to the axes, y = x and y = -x
- Calculate surface area of cubes and cuboids
- Understand and use geometric notation for labelling angles, lengths, equal lengths and parallel lines
|
- Multiply and divide numbers with up to three decimal places by 10, 100, and 1000
- Use long division to divide numbers up to four digits by a two-digit number
- Use simple formulae expressed in words
- Generate and describe linear number sequences
- Use simple ratio to compare quantities
- Write a fraction in its lowest terms by cancelling common factors
- Add and subtract fractions and mixed numbers with different denominators
- Multiply pairs of fractions in simple cases
- Find percentages of quantities
- Solve missing angle problems involving triangles, quadrilaterals, angles at a point and angles on a straight line
- Calculate the volume of cubes and cuboids
- Use coordinates in all four quadrants
- Calculate and interpret the mean as an average of a set of discrete data
|
| Band A |
Band B |
- Apply the four operations with negative numbers
- Convert numbers into standard form and vice versa
- Apply the multiplication, division and power laws of indices
- Convert between terminating decimals and fractions
- Find a relevant multiplier when solving problems involving proportion
- Solve problems involving percentage change, including original value problems
- Factorise an expression by taking out common factors
- Change the subject of a formula when two steps are required
- Find and use the nth term for a linear sequence
- Solve linear equations with unknowns on both sides
- Plot and interpret graphs of linear functions
- Apply the formulae for circumference and area of a circle
- Calculate theoretical probabilities for single events
|
- Use positive integer powers and associated real roots
- Apply the four operations with decimal numbers
- Write a quantity as a fraction or percentage of another
- Use multiplicative reasoning to interpret percentage change
- Add, subtract, multiply and divide with fractions and mixed numbers
- Check calculations using approximation, estimation or inverse operations
- Simplify and manipulate expressions by collecting like terms
- Simplify and manipulate expressions by multiplying a single term over a bracket
- Substitute numbers into formulae
- Solve linear equations in one unknown
- Understand and use lines parallel to the axes, y = x and y = -x
- Calculate surface area of cubes and cuboids
- Understand and use geometric notation for labelling angles, lengths, equal lengths and parallel lines
|
| Band A |
Band B |
- Calculate with roots and integer indices
- Manipulate algebraic expressions by expanding the product of two binomials
- Manipulate algebraic expressions by factorising a quadratic expression of the form x² + bx + c
- Understand and use the gradient of a straight line to solve problems
- Solve two linear simultaneous equations algebraically and graphically
- Plot and interpret graphs of quadratic functions
- Change freely between compound units
- Use ruler and compass methods to construct the perpendicular bisector of a line segment and to bisect an angle
- Solve problems involving similar shapes
- Calculate exactly with multiples of π
- Apply Pythagoras' Theorem in two dimensions
- Use geometrical reasoning to construct simple proofs
- Use tree diagrams to list outcomes
|
- Apply the four operations with negative numbers
- Convert numbers into standard form and vice versa
- Apply the multiplication, division and power laws of indices
- Convert between terminating decimals and fractions
- Find a relevant multiplier when solving problems involving proportion
- Solve problems involving percentage change, including original value problems
- Factorise an expression by taking out common factors
- Change the subject of a formula when two steps are required
- Find and use the nth term for a linear sequence
- Solve linear equations with unknowns on both sides
- Plot and interpret graphs of linear functions
- Apply the formulae for circumference and area of a circle
- Calculate theoretical probabilities for single events
|
| Higher |
Foundation |
- Manipulate fractional indices
- Solve problems involving direct and inverse proportion
- Convert between recurring decimals and fractions
- Manipulate algebraic expressions by factorising a quadratic expression of the form ax² + bx + c
- Solve quadratic equations by factorising
- Link graphs of quadratic functions to related equations
- Interpret a gradient as a rate of change
- Recognise and use the equation of a circle with centre at the origin
- Apply right-angled trigonometry in two dimensions
- Calculate volumes of spheres, cones and pyramids
- Understand and use vectors
- Analyse data through measures of central tendency, including quartiles
|
- Calculate with roots and integer indices
- Manipulate algebraic expressions by expanding the product of two binomials
- Manipulate algebraic expressions by factorising a quadratic expression of the form x² + bx + c
- Understand and use the gradient of a straight line to solve problems
- Solve two linear simultaneous equations algebraically and graphically
- Plot and interpret graphs of quadratic functions
- Change freely between compound units
- Use ruler and compass methods to construct the perpendicular bisector of a line segment and to bisect an angle
- Solve problems involving similar shapes
- Calculate exactly with multiples of π
- Apply Pythagoras' Theorem in two dimensions
- Use geometrical reasoning to construct simple proofs
- Use tree diagrams to list outcomes
|
| Higher |
Foundation |
- Solve equations using iterative methods
- Simplify surds, including rationalising the denominator of a surd expression
- Manipulate quadratic expressions by completing the square
- Deduce roots and turning points of quadratic functions
- Understand the concept of an instantaneous rate of change
- Sketch translations and reflections of given functions
- Solve quadratic inequalities in one variable
- Use the sine and cosine rules to solve problems
- Complete Constructions
|
- Apply right-angled trigonometry in two dimensions
- Manipulate negative indices
- Solve simultaneous equations
- Problems with shapes involving quadratics
- Know and use the graphs of inverse and direct proportion
- Recognise and describe geometric sequences
- Calculate volumes of spheres, cones and pyramids
- Solve quadratics through factorising
- Link graphs of quadratic functions to related equations
- Understand and use vectors
- Complete constructions
- Understand and use sampling methods
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Curriculum prepared June 2025