Mathematics provides a deep conceptual understanding of the world, enabling students who apply concepts accurately to approach and solve unfamiliar problems with confidence.”
The Mathematics Curriculum Area vision
Maths is offered as:
Students at Key Stage 3 have 7 hours per fortnight following the White Rose Maths scheme of learning, allowing for the transition from primary school to GCSE.
Term 1  Term 2  Term 3  Term 4  Term 5  Term 6  

Year 7  Algebraic Thinking:
· Sequences · Understand and use algebraic notation · Equality and equivalence
 Place value and proportion
· Place value and ordering integers and decimals · Fraction, decimal and percentage equivalence
 Applications of Number
· Solve problems with addition and subtraction · Solve problems with multiplication and division · Fractions and percentages of amounts  Directed number
· Four operations with directed number Fractional thinking · Addition and subtraction of fractions
 Lines and Angles
· Constructing, measuring and using geometric notation · Developing geometric reasoning
 Reasoning with Number
· Developing Number sense · Sets and probability · Prime numbers and proof

Year 8  Proportional reasoning
· Ratio and scale · Multiplicative change · Multiplying and dividing fractions
 Representations
· Working in the Cartesian plane · Representing data · Tables and probability
 Algebraic techniques
· Brackets, equations and inequalities · Sequences · Indices
 Developing Number
· Fractions and percentages · Standard index form · Number sense
 Developing Geometry
· Angles in parallel lines and polygons · Area of trapezia and circles · Line symmetry and reflection
 Reasoning with Data
· The data handling cycle · Measures of location

Year 9  Reasoning with Algebra:
· Straightline graphs · Forming and solving equations · Testing conjectures  Constructing in 2 and 3 dimensions
· Three dimensional shapes · Constructions and Congruency
 Reasoning with Number:
· Numbers · Using percentages · Maths and money
 Reasoning with Geometry
· Deduction · Rotation and translation · Pythagoras’ Theorem  Reasoning with Proportion
· Enlargement and similarity · Solving ratio and proportion problems · Rates  Representations
· Solve problems using graphs, tables and algebra

Year 7 pupils have 7 lessons a fortnight and are taught in house groups. Pupils will begin to build on the mathematical skills from Key Stage 2 and extend their understanding of number, algebra, geometry and statistics whilst developing fluency in number They will begin to develop mathematical reasoning through problem solving activities throughout their lessons and mathematical enrichment lessons. These lessons take place once per term and focus on allowing pupils to explore areas of mathematics and be able to communicate and explain ideas in written work and investigations. Pupils interested in solving extra problems outside of lessons are invited to Parallel Maths to extend their learning in an engaging way. Pupils with a strong track record in the department will also be invited to participate in the Junior Maths challenge.
Year 8 pupils have 7 lessons a fortnight and are taught in mixed ability groups. Pupils will begin to build on the mathematical skills from Year 7 and extend their understanding of number, algebra, geometry and statistics whilst developing fluency in number and algebra. They will become more familiar with reasoning through problem solving activities in lessons and mathematical enrichment lessons. These lessons take place once per term and focus on allowing pupils to explore areas of mathematics and be able to communicate and explain ideas in written work and investigations. Pupils interested in solving extra problems outside of lessons are invited to Parallel Maths to extend their learning in an engaging way. Pupils with a strong track record in the department will also be invited to participate in the Junior Maths challenge.
Year 9 pupils have 7 lessons a fortnight and are taught in mixed ability groups. Pupils will continue to extend their understanding of number, algebra, geometry and statistics and continue developing fluency but there will be a much stronger emphasis on mathematical reasoning through problem solving activities throughout their lessons and mathematical enrichment lessons. These lessons take place once per term and focus on allowing pupils to explore areas of mathematics and be able to communicate and explain ideas in written work and investigations. Pupils interested in solving extra problems outside of lessons are invited to Parallel Maths to extend their learning in an engaging way. Pupils with a strong track record in the department will also be invited to participate in the Intermediate Maths challenge.
The skills learned during Key Stage 3 allow pupils to use and apply the standard techniques of mathematics, to reason, interpret and communicate mathematically and to solve problems within mathematics and other contexts. Students are provided with a solid foundation to enable them to be successful in Mathematics later.
Assessment in Mathematics consists of written examinations with both a non calculator and calculator element There is one formal assessments per term which will be followed by a whole class feedback lesson. Pupils are set home learning weekly via our online platform and teachers will feedback using this method, as well as providing verbal feedback in the class room during lessons.
Students at Key Stage 4 have 7 hours per fortnight studying the Edexcel GCSE Mathematics qualification. Those who perform well in year 10 have the opportunity to study the AQA Level 2 Certificate in Further Mathematics as an additional qualification.
Term 1  Term 2  Term 3  Term 4  Term 5  Term 6  

Year 10  Congruence, similarity and enlargement Non right angled trigonometry Delving into data
 Angles and bearings Volume and surface area Probability Expanding and factorising  Circle theorems Vectors Representing solutions  Simultaneous equations Numerical reasoning  Manipulating expressions Gradients and lines Non linear graphs  Using graphs Changing the subject Functions 
Year 11  Multiplicative reasoning Geometric reasoning Algebraic reasoning Transforming and constructing  Using and describing Show that…  Revision  Revision  Revision 

Year 10 pupils have 7 lessons a fortnight and are taught in mixed ability groups. Pupils will have a solid foundation from Key Stage 3 and will now extend their understanding of number, algebra, geometry and statistics and continue developing fluency but there will be a strong emphasis on mathematical reasoning through problem solving activities throughout their lessons and mathematical enrichment lessons. Pupils will begin developing links between topics. These lessons take place once per term and focus on allowing pupils to explore areas of mathematics and be able to communicate and explain ideas in written work and investigations. Pupils with a strong track record in the department will also be invited to participate in the Intermediate Maths challenge.
Year 11 pupils have 8 lessons a fortnight and are taught in mixed ability groups. Pupils will have developed fluency in key skills and will now be focussing much more on the application to problem solving and using mathematical knowledge from a range of topics to solve more complex problems. Year 11 will focus on finishing the content of the GCSE and revision of the course. Pupils in set 1 will also study the AQA Level 2 Certificate in Further Mathematics. Pupils with a strong track record in the department will also be invited to participate in the Intermediate Maths challenge.
Throughout Key Stage 4 pupils are provided with a solid foundation for further academic and vocational study. All units of work taught provide the opportunity for pupils to hone and enhance mathematical skills, knowledge and understanding in order to help them progress to a full range of courses in further and higher education including Level 3 mathematics courses as well as undergraduate and Level 3 courses in other disciplines such as biology, geography and psychology, where the understanding and application of mathematics is crucial. The skills learned during these two years allow pupils to use and apply the standard techniques of mathematics, to reason, interpret and communicate mathematically and to solve problems within mathematics and other contexts.
All papers are equally weighted and contribute to 33.3% of the total mark awarded
Reading List
Film List
In addition to reading, there are some fantastic films inspired by mathematics and most are available on Amazon Prime or Netflix:
Students at Key Stage 5 follow either the Mathematics: Applications and Interpretations or the Mathematics: Analysis course as part of the IB Diploma.
Applications and Interpretation Standard Level
Term 1  Term 2  Term 3  Term 4  Term 5  Term 6  

Year 12  Exponentials and Logarithms
Functions  Geometry
Trigonometry  Sequences and Series
Statistics  Probability
Probability Distributions  Differentiation
Further Statistics  Internal Assessment work 
Year 13  Differentiation
Modelling Real Life Phenomena  Integration  Revision

Analysis Standard Level
Term 1  Term 2  Term 3  Term 4  Term 5  Term 6  

Year 12  Algebra and Functions
Trigonometry  Exponentials and Logarithms
Geometry Sequences and Series  Differentiation
Summarising Data  Probability  Differentiation  Correlation and Regression
Internal Assessment work 
Year 13  Discrete Probability Distributions
Further Differentiation  Integration  Revision


Applications and Interpretation Higher Level
Term 1  Term 2  Term 3  Term 4  Term 5  Term 6  

Year 12  Exponentials
Functions Geometry and Trigonometry  Matrix Algebra
Sequences and Series Complex Numbers  Differentiation
Statistics  Vectors
Probability  Modelling Real Life Phenomena
Probability Distributions  Graph Theory
Internal Assessment work 
Year 13  Integration  Further Statistics  Revision


Analysis Higher Level
Term 1  Term 2  Term 3  Term 4  Term 5  Term 6  

Year 12  Algebra and Functions
Binomial Expansion Counting Principles  Complex Numbers
Trigonometry  Vectors  Probability  Proofs and Limits  Differentiation
Internal Assessment work 
Year 13  Integration  Probability Distributions  Revision 

Sixth form students follow the IB Diploma and choose to study either the Mathematics: Applications and Interpretations or the Mathematics: Analysis and Approaches course. Both pathways offer standard level and higher level and students are encouraged to study the course that will suit their future needs.
Applications and Interpretations is based around the principles studied in mathematics and allows for a development of the understanding of key mathematical concepts with an emphasis in statistical testing and techniques and decision mathematics. Analysis and Approaches is based firmly within the discipline of pure mathematics and students are provided the opportunity to employ and refine their powers of abstraction and generalisation.
All courses require the use of a Graphical Display Calculator.
At the end of Year 12, pupils will begin their Internal Assessment and will complete this over the summer holidays.
In Year 13 pupils will begin the year by finalising their Internal Assessment based on teacher feedback. They will then focus on completing the course and revising up until the final examinations.
Applications and Interpretation:
Type of assessment  Format of assessment  Time (hours)  Weighting of final grade (%)  

External  SL  HL  SL  HL  
Paper 1  Compulsory shortresponse questions based on the syllabus  1.5  2  40  30 
Paper 2  Compulsory extendedresponse questions based on the syllabus  1.5  2  40  30 
Paper 3  Two compulsory extendedresponse problemsolving questions  1  20  
Internal  
Exploration  Project based on students own research  15  15  20  20 
Analysis:
Type of assessment  Format of assessment  Time (hours)  Weighting of final grade (%)  

External  SL  HL  SL  HL  
Paper 1  Non Calculator  1.5  2  40  30 
Paper 2  Calculator  1.5  2  40  30 
Paper 3  Two compulsory extendedresponse problemsolving questions  1  20  
Internal  
Exploration  Project based on students own research  15  15  20  20 
If you have an iPad or iPhone, go to iTunesU or download the iTunesU app. Now you have access to millions of courses but check out the following powerful courses to prepare you for IB maths:
The Open University offers:
The University of Nottingham:
Oxford University:
University of Warwick:
The University of Sheffield:
· Respect civil and criminal law in Mathematics: students are taught to think morally and to distinguish between right and wrong in the classroom in the Mathematics lessons with regards to behaviour. The department follow the school behaviour policy using rewards and sanctions when appropriate. The staff give a clear reason why they are being issued.
· Acceptance and engagement with fundamental British values of democracy: we actively promote the fundamental British values of democracy through enrichment lessons and Internal Assessment work at IB. Pupils are free to choose their own subject for the exploration at IB, but many students at RGS who are interested in politics and carry out advanced statistical techniques on mock elections.
· Contribute positively to life in Modern Britain, students actively contribute positively: RGS enters national competitions such as the UKMT Maths challenges. Pupils also become more aware of the financial world and the world of work by studying taxation, pay day loan companies and best buys in supermarkets.