Curriculum Intent:
“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
 For all pupils to really enjoy and have a positive attitude towards Mathematics so that they can appreciate the power and beauty of the subject.
 For all pupils to develop a deep and secure knowledge to enable them to become inquiring thinkers and achieve their maximum potential.
 For all pupils to develop mathematical fluency and the ability to reason mathematically.
 For all pupils to have confidence in approaching a variety of problems.
 For all pupils to become keen to take risks and make mistakes; they then learn from these mistakes in order to progress.
 For all staff to promote excellence in teaching and learning throughout the school.
 For all staff to work together within the curriculum area and share our good practice amongst ourselves and with other curriculum areas.
Maths is offered as:
 Core subject Years 7, 8, 9, 10 &11
 IB Application and Interpretations Year 12 & 13 (Standard and Higher)
 IB Analysis and Approaches Year 12 & 13 (Standard and Higher)
Key Stage 3 Mathematics
Curriculum Overview
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
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
Year 8 pupils have 7 lessons a fortnight and are taught in 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
Year 9 pupils have 7 lessons a fortnight and are taught in 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
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.
Further Reading/Resources
 Alex’s Adventures in Numberland by Alex Bellos
 Cabinet of Mathematical Curiosities by Ian Stewart
 The Num8er My5teries by Marcus du Sautoy
 How Many Socks Make a Pair?: Surprisingly Interesting Maths by Rob Eastway
 The Curious Incident of the Dog in the Nighttime by Mark Haddon
 The Penguin Dictionary of Curious & Interesting Numbers by David Wells
 The Calculus Wars by Jason Socrates Bardi
 The Code Book by Simon Singh
 The Simpsons and Their Mathematical Secrets by Simon Singh
 Humble Pi: A Comedy of Maths Errors by Matt Parker
 50 Mathematical Ideas You Really Need to Know by Tony Crilly
 The Indisputable Existence of Santa Claus by Dr Hannah Fry
Key Stage 4 Mathematics
Curriculum Overview
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 9  Number Applications
Percentages and Ratio 
Expressions, Identities & Equations
Geometry and Transformations 
Constructions and Loci
Compound Measures Data 
Probability
Area and Volume 
Pythagoras  Trigonometry 
Year 10  Sequences
Further Data Presentation

Linear Graphs and Inequalities
Quadratic Equations Simultaneous Equations Measures 
Congruency
Further Graphs 
Vectors
Sketching curves Proportion 
Circle Theorems  Further Trigonometry 
Year 11  Algebraic Fractions
Proof Functions 
Graph Transformations
FM Number & Algebra I FM Algebra II FM Algebra III 
FM Matrices
FM CoOrdinate Geometry FM Geometry I FM Geometry II

FM Algebra IV
FM Calculus 
Revision 

Year 10
Year 10 pupils have 7 lessons a fortnight and are taught in 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
Year 11 pupils have 8 lessons a fortnight and are taught in 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.
Assessment at GCSE
 Paper 1 – Written examination paper with a range of question types.
 No calculator is allowed
 1 hour and 30 minutes
 80 marks available
 Paper 2 – Written examination paper with a range of question types.
 Calculators are allowed
 1 hour and 30 minutes
 80 marks available
 Paper 3 – Written examination paper with a range of question types.
 Calculators are allowed
 1 hour and 30 minutes
 80 marks available
All papers are equally weighted and contribute to 33.3% of the total mark awarded
Further Reading/Resources
Reading List
 Alex’s Adventures in Numberland by Alex Bellos
 Cabinet of Mathematical Curiosities by Ian Stewart
 The Num8er My5teries by Marcus du Sautoy
 How Many Socks Make a Pair?: Surprisingly Interesting Maths by Rob Eastway
 The Curious Incident of the Dog in the Nighttime by Mark Haddon
 The Penguin Dictionary of Curious & Interesting Numbers by David Wells
 The Calculus Wars by Jason Socrates Bardi
 The Code Book by Simon Singh
 The Simpsons and Their Mathematical Secrets by Simon Singh
 Humble Pi: A Comedy of Maths Errors by Matt Parker
 50 Mathematical Ideas You Really Need to Know by Tony Crilly
 The Indisputable Existence of Santa Claus by Dr Hannah Fry
Film List
In addition to reading, there are some fantastic films inspired by mathematics and most are available on Amazon Prime or Netflix:
 The Man Who Knew Infinity (2015)
 Pi (1998)
 X + Y (2015)
 Good Will Hunting (1997)
 The Imitation Game (2014)
 A Beautiful Mind (2001)
 The Oxford Murders (2008)
Key Stage 5 Mathematics
Curriculum Overview
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 

Year 12
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.
Year 13
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.
Assessment at IB
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 
Further Reading/Resources
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:
 Introducing Geometry: Angles and Shapes
 Exploring Mathematics: a Powerful Tool
 Exploring Mathematics: Maths in Nature and Art
The University of Nottingham:
 PreUniversity Mathematics
Oxford University:
 The Secrets of Mathematics
University of Warwick:
 Why Beauty is TruthA Short History of Symmetry
The University of Sheffield:
 Mathematical Skills Exponentials and Logarithms
 Mathematical Skills – Straight Lines and Simultaneous Equations
British Values:
British Values in Mathematics
· 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.