Mathematics & Pure Maths
The Mathematics Department Curriculum
We teach GCSE skills and content from year 7 to 11 as shown on our curriculum mapping spreadsheet. The same areas of study repeat year on year, each time increasing in complexity and content. This allows the pupils to recall, reinforce and extend.
Year 7
In year 7 we aim to bring together methods taught at primary school and to establish the foundations for further study towards GCSE. We are assessing prior knowledge (PK) for each topic. Misconceptions and rote learning may need reinforcement before progression. Pupils will need clear guidance to adjust to the routines and expectations of secondary maths lessons.
 × and ÷ number work
 BIDMAS and calculator use
 Probability
 Negative Numbers
 Multiples and Factors
 Introducing Algebra, terms and expressions
 Constructions
 Median and Range for comparison
 Area
 Extending algebra, equivalent Expressions
 Decimals
 Parallel Lines and angles
 Percentages
 Algebra, starting to solve equations
 Quadrilaterals, properties and language
 Mean, Median, Mode and Range, problem solving
 3D shapes
 My Money Week
 Sequences
 Introducing linear graphs
 Ratio
Year 8
In year 8 we aim to build on the foundations laid in year 7 increasing expectations as we move further towards GCSE. This is an opportunity for reinforcement of ideas and skills while starting to develop them further.
 Fractions, Decimals and percentages
 Percentage change
 Linear graphs
 Transformations
 Algebra, expanding and simplifying with negative numbers
 Real life graphs
 Algebra, writing and solving linear equations, substitution
 Experimental and Theoretical probability, probability spaces
 Angles in polygons
 Ratio, scale and proportion
 Planes of symmetry
 Metric and imperial units, including area and volume
 My Money Week
 Scatter graphs
 Frequency tables and diagrams
 Linear graphs extended
 Constructions, Loci and bearings
Year 9
In year 9 we aim to build on the foundations laid in year 7&8 completing most of the GCSE foundation syllabus content by the end of the year and continually moving closer to the style of question and assessment at GCSE. Recapping prior knowledge (PK) for each topic previously studied is advisable, this should not mean reteaching, as pupils are expected to have remembered year 7 & 8 work. However, it is an opportunity for reinforcement of ideas and skills before developing them further. Gaps in pupils’ knowledge identified should be dealt with on an individual basis.
 Algebra, solving equations
 Algebra, manipulation, brackets and indices
 Standard form
 Circle, area and circumference
 Fractions and probability
 Cumulative frequency
 Linear graphs
 Pythagoras’ Theorem
 Simultaneous equations
 Changing the subject of a formula
 Similar shapes
 Functions and graphs
 Inequalities
 More manipulation, quadratics
 My Money Week
 Sequences
 Vectors
 Indices
 Using and Misusing statistics
Years 10 and 11
In year 10 we build on the foundations laid at KS3 preparing from the start for the GCSE exams including GCSE style questions and guidance on exam technique. We recapping prior knowledge for topics previously studied, however, this should not mean reteaching, as pupils are expected to have remembered their previous work. It is an opportunity for reinforcement of ideas and skills before developing them further. Pupils are expected to take more responsibility for their progress and gaps in their knowledge should be dealt with on an individual basis, including use of the Maths Clubs.
Year 10
 Pythagoras and trigonometry
 Rearranging formulae
 Straight line graphs
 Circle Theorem, Angle recap from KS3
 Area and Volume, compound units
 Rates
 Upper and lower bounds
 Forming and solving equations
 Algebraic fractions and indices
 % change, exponential growth and decay
 Direct and inverse proportion
 Quadratics expand and factorise
 Solving Quadratics, graphs
 Inequalities
 Similarity and enlargement
 Length, area, volume, circles
 Vectors
 Sampling, Histograms, Data Handling Revision
Year 11
 Irrational numbers
 Surds
 Transformations
 Trigonometric graphs, formulas, 3D
 Probability
 Sequences
 Pattern and proof
 Iteration
 Functions
 Transforming graphs
 Algebraic fractions
 Simultaneous equations, incl quadratics
 Circle equations
 Congruence and proof
 Loci and constructions
Year 12 A level Mathematics
Transition material is provided over the summer holiday to help students prepare for the faster pace and higher standards of solution required at Advanced Level. Topics start by extending familiar GCSE skills and build to enable more complex problems solving. The content involves Pure Maths, Mechanics and Statistics. Detail is provided in the specification. The order of teaching varies depending on staffing and the timetable but is approximately as follows:
Pure Maths 
Applied 
Algebra and functions 
Statistical sampling 
Coordinate Geometry 
Data presentation and interpretation 
Differentiation 
Quantities and units in mechanics 
Factor theorem 
Kinematics (SUVAT) 
Binomial theorem 
Correlation 
Integration 
Probability 
Trigonometry 
Forces and Newton’s Laws 
Exponentials and logarithms 
Binomial hypothesis testing 
Binomial Distribution 
Vectors 
Proof 
Variable acceleration 
Vectors 

Year 13 Mathematics
Students are now focusing on extending their skills and developing their examination technique to prepare for the final examination. This includes continual revision alongside learning the remaining content across the same areas as year 12. Further detail is provided in the specification. Approximate order is as follows:
Pure Maths 
Applied 
Trigonometry 
Log Models in Statistics 
Exponentials and Logarithms 
Correlation Hyp. Testing 
Differentiation 
Probability II 
Partial Fractions 
Normal 
Implicit and Parametric 
Normal Hypothesis Testing 
Numerical methods 
Moments 
Integration by substitution 
Resolving 
Functions and Modelling 
Projectiles 
Integration by Parts 
Friction 
Sequences and Series 
Variable acceleration 
Differential equations 

Year 12 and 13 A level Further Mathematics
The Core Pure Maths is taught alongside the A level Pure, linking to Further Maths topics where applicable. In year 12 the students will cover all the material that the A level class(s) do and the following topics in addition. Because of the need to build up skills there is a dominance of A level teaching in year 12 and a higher proportion Further Maths in year 13. The Applied Further Maths is taught after the A level content. Approximate order is as follows:
Year 12 

Pure Maths 
Applied 

Complex numbers 
A level contents from year 12 and 13 above 

Matrices 


Series 


Proof by induction 


Argand diagrams 


Year 13 

Roots of Polynomials 
Discrete probability 
Momentum and Impulse 
Volumes of revolution 
Poison 
Work Power and Energy 
Linear transformations 
Binomial distributions 
Elastic strings and springs 
Vectors 
Hypothesis testing 
Elastic collisions in one dimension 
Argand Diagrams 2 
Central limit theorem 
Elastic collisions in 2 dimensions 
Complex numbers 2 
Chisquared tests 

Methods in Calc 35 
Quality of tests 

Polar Coordinates 
Probability generating functions 

Maclaurin Series 


Improper Mean value 


Differential equations 


Hyperbolic functions 

