Mathematics Vision Statement

At HPS we aim to provide a mathematical experience that prepares students for the workplace, for further education and the mathematical literacy and problem solving skills needed in life. We strive to enable students to develop the confidence to learn through making mistakes and reflecting effectively on their learning. This is accomplished through teachers’ commitment to excellence in teaching, a well-designed curriculum and a supportive environment where students take pride in their work and progress.

We expect our students to take responsibility for their learning. An  example of this is the “Target Homework” approach at Key Stage 4, where students choose their own weekly homework task based on their areas of development.  This teaches them to take responsibility but empowers them in driving their own learning.

Year 7

  • Coordinates, sequences and introduction to solving equations
  • Ordering numbers, the four operations, and the order of operations
  • Geometry vocabulary and notation, angles, and transformations
  • Fractions, percentages and ratio
  • Data collection and presentation, including mean, mode and median
  • Functions, inverse operations, the rules of algebra and substitution
  • Accuracy, estimating answers, identifying and using prime numbers
  • Using mathematical equipment, area of a trapezium and volume
  • The four operations using fractions and problems using percentages

Year 8

  • Sieve of Eratosthenes, factors, multiples and the order of operations
  • Working with fractions, ratio and the four operations using decimals
  • Area and perimeter of different shapes, including skew squares
  • Data presentation, including calculating the averages from tabulated data
  • Working with directed numbers and introduction to curvy graphs
  • Reflection, rotation, translation, enlargement, nets and tessellation
  • Manipulating algebraic expressions and solving harder equations
  • Loci, scale drawings, constructions, plans and elevations

Year 9

  • Angle properties, introduction to Pythagoras’ Theorem and trigonometry
  • Recap of all number skills covered in Year 7 and Year 8
  • Graphs of quadratic equations and advanced algebraic simplification
  • Congruent and similar shapes, perimeter and area of circles
  • Data collection techniques and experimental and theoretical probability
  • Proportion, powers, value for money, fractions and percentages
  • Transformations, constructing triangles and accurate nets
  • Working with fractions, prime factor decomposition leading to HCF/LCM
  • Further manipulation of algebraic expressions and solving equations


At KS4 all students follow a linear GCSE course working towards either the higher or foundation tier. Those sitting the higher tier can achieve grades 9 to 4, whilst those sitting the foundation tier can achieve grades 5 to 1. 

The GSCE course content is split into modules which spiral up through the grades over the two years. The exact topics and order in which modules are covered will depend on the tier a student is working towards.


YEAR 10  

  • Algebra 1 - Simplifying, substitution and graphs
  • Number 1 - Fractions, decimals, percentages and indices
  • Geometry 1 - Transformations, area, angles, circles, construction and Pythagoras' Theorem
  • Algebra 2 - Algebraic manipulation, solving equations and inequalities
  • Probability 1 - Averages, charts, sampling, probability of independent events
  • Ratio 1 - Ratio, percentage change, direct and inverse proportion
  • Algebra 3 - Factorising, quadratics and simultaneous equations
  • Geometry 2 - Congruence, trigonometry and volumes of 3D shapes
  • Probability 2 - Probability of dependent events, cumulative frequency and histograms

YEAR 11      

  • Algebra 4 - Iteration and the quadratic formula
  • Geometry 3 - Circle theorems and similar shapes
  • Number 2 - Indices, surds and bounds
  • Algebra 5 - Proof, graphing functions and regions
  • Geometry 4 - Sine and cosine rules, vectors
  • Algebra 6 - Functions, quadratic sequences and algebraic fractions 




  • Algebra 1 - Simplifying, substitution and graphs
  • Number 1 - Place value, decimals and negatives
  • Geometry 1 - Polygons, angles and area
  • Probability 1 - Averages, charts and simple probability
  • Number 2 - Decimals and fractions
  • Ratio 1 - Ratio and simple proportion
  • Geometry 2 - Circles, construction and Pythagoras'    Theorem
  • Algebra 2 - Algebraic manipulation, solving equations and inequalities


  • Number 3 - Fractions, decimals, percentages and indices
  • Algebra 3 - Factorising, quadratics and simultaneous equations
  • Ratio 2 - Percentage change and similar shapes
  • Probability 2 - Sampling, independent and dependent events
  • Geometry 3 - Trigonometry and volumes of 3D shapes 




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