Key Stage 3

Our students are taught in ability based sets and these groupings are reviewed each half term following a core assessment. The aim of the National Curriculum is to enable students to develop mathematical fluency, the ability to reason mathematically and solve problems. The content is divided into six key areas of learning, and each of these is taught across Years 7 to 9.

  Year 7 Year 8 Year 9
  • Positive and negative numbers
  • Decimals (addition, subtraction, multiplication and division)
  • Non calculator work
  • Fractions including improper fractions, adding and subtracting fractions, equivalent fractions
  • Percentages
  • Directed numbers
  • Powers and roots
  • Prime factors
  • Significant figures
  • Standard form including multiplication
  • Adding, subtracting, multiplying and dividing fractions and integers
  • Adding, subtracting, multiplying and dividing fractions
  • Powers of 10 and Standard Form
  • Sequences and rule
  • Missing terms
  • Finding the nth term
  • Using formulae
  • Writing formulae
  • Solving equations
  • Graphs from linear equations
  • Graphs from quadratic equations
  • Algebraic notation
  • Equations with brackets
  • Rearranging formulae
  • Multiplying out brackets
  • Factoring algebraic expressions
  • Equations with fractions
  • Expanding brackets
  • Solving simultaneous equations
Ratio, proportion and rates of change
  • Introduction to ratios
  • Simplifying rations
  • Ratios and sharing
  • Ratios and fractions
  • Calculate percentage increases and decreases
  • Ration of lengths, areas and volume
  • Direct and inverse proportion
  • Simple interest
  • Calculating the original value
  • Repeated percentage changes
  • Introduction to trigonometric rations
Geometry and Measures
  • Perimeter and area of rectangles and compound shapes
  • Area – 2D shapes
  • Cubes and Cuboids – surface area and volume
  • Line and rotational symmetry
  • Reflections, rotations and tessellations
  • Naming and drawing 3D shapes
  • 3D investigations
  • Parallel lines
  • Translations, enlargements and Constructions
  • Congruent shapes and triangles
  • Metric unites for area and volume
  • Surface area and volume of prisms
  • Circumference of a circle
  • Properties of polygons
  • Interior and exterior angles of regular polygons
  • Tessellations and regular polygons
  • Volume, surface area of a cylinder
  • Probability scales
  • Combined events
  • Experimental probability
  • Exclusive and exhaustive outcomes
  • Estimates of probability
  • Mode, Median, Mean and Range
  • Data collection – discrete and continuous
  • Comparing data using averages and the range
  • Statistical surveys
  • Interpreting graphs and diagrams including pie charts and scatter graphs
  • Frequency tables and diagrams
  • Comparing data sets
  • Scatter graphs and correlation
  • Estimation of mean
  • Statistical investigations

Key Stage 4

Students are taught in ability based groups, with the majority of students being entered for the higher tier paper at the end of Year 11.

At Key Stage Four, students  follow the 2 tier Edexcel GCSE Mathematics course and will follow either the Higher (Grades D-A*) or Foundation (Grades G-C) course.  There is no coursework element in this subject.

The work done in Key Stage 4 follows on from the work in Key Stage 3. The topics covered in Key stage 4 are:

Foundation Tier

Integers and place value Decimals Indices, powers and roots
Factors, multiples and primes Algebra: the basics Expanding and factorising single brackets
Expressions and substitution into formulae Tables Charts and graphs
Charts and graphs Scatter graphs Fractions
Fractions, decimals and percentages Percentages Equations
Inequalities Sequences Properties of shapes, parallel lines and angle facts
Interior and exterior angles of polygons Statistics and sampling The averages
Perimeter and area 3D forms and volume Real-life graphs
Straight-line graphs Transformations I: translations, rotations and reflections Transformations II: enlargements and combinations
Ratio Proportion Right-angled triangles: Pythagoras and trigonometry
Probability I Probability II Multiplicative reasoning
Plans and elevations Constructions, loci and bearings Quadratic equations: expanding and factorising
Quadratic equations: graphs Circles, cylinders, cones and spheres Fractions and reciprocals
Indices and standard form Similarity and congruence in 2D Vectors
Rearranging equations, graphs of cubic and reciprocal functions and simultaneous equations


Higher Tier

Calculations, checking and rounding Indices, roots, reciprocals and hierarchy of operations Factors, multiples and primes
Standard form and surds Algebra: the basics Setting up, rearranging and solving equations
Sequences Averages and range Representing and interpreting data
Scatter graphs Fractions Percentages
Ratio and proportion Polygons, angles and parallel lines Pythagoras’ Theorem and trigonometry
Graphs: the basics and real-life graphs Linear graphs and coordinate geometry Quadratic, cubic and other graphs
Perimeter, area and circles 3D forms and volume, cylinders, cones and spheres Accuracy and bounds
Transformations Constructions, loci and bearings Solving quadratic and simultaneous equations
Inequalities Probability Multiplicative reasoning
Similarity and congruence in 2D and 3D Graphs of trigonometric functions Further trigonometry
Collecting data Cumulative frequency, box plots and histograms Quadratics, expanding more than two brackets, sketching graphs, graphs of circles, cubes and quadratics
Circle theorems Circle geometry Changing the subject of formulae (more complex), algebraic fractions, solving equations arising from algebraic fractions, rationalising surds, proof
Vectors and geometric proof Reciprocal and exponential graphs; Gradient and area under graphs Direct and inverse proportion

The topics covered are the same, except that students are expected to go further and hone their skills picked up in Key Stage 3. In terms of national curriculum levels, a grade “C” is roughly equivalent to a level 7. The GCSE course covers grades “G” to “A*”.

Mathematics GCSE is a linear course and will be assessed in May/June at the end of Year 11 by a calculator and non-calculator paper. There are no modules and no controlled assessments. Internal assessments will be given throughout the year. Some students in Year 11 may also do the Statistics GCSE, this will consist of a controlled assessment element in addition to the terminal examination.

Qualification: GCSE Mathematics

Exam Board: Edexcel

Code: IMA01/IMA02