Mathematics
Subject Leader(s):
Mr E Hargreaves (hargreavese@saintgeorgescofe.kent.sch.uk)
Mrs. E Lowe (lowee@saintgeorgescofe.kent.sch.uk)
Lessons and homework:
Year 7 & 8 – Fortnightly students have 7 lessons. Students receive a paper homework once a week. This contains a mixture of topics taught during the previous week, as well as a selection of questions on topics encountered in the past to aid students in retrieval practice. Homework support is available after school every day in rooms 3 & 8.
Year 9 – Fortnightly students have 9 lessons. Students receive homework in much the same way as years 7 & 8.
Lesson style:
All lessons have an embedded collaborative approach using Kagan structures, particularly when developing and embedding knowledge of a new skill or technique. Lessons also feature plenty of opportunity for pupils to practice, as well as develop their problemsolving ability by applying existing knowledge to unfamiliar contexts.
Assessment:
All students are assessed at least once a term on the topics that have been covered during that term’s work. There also are two allocated dates for summative assessment for each year group, these assessments will draw from all content encountered throughout the year of study and form the basis of our judgements when recording pupil grades and progress.
Curriculum
Year 7 Topics:
 Term 1 – Basic Number: Addition, subtraction, multiplication, and division, all including decimals. Factors, multiples, including Highest Common Factor (HCF) and Lowest Common Multiple (LCM). Perimeter and area of basic 2D shapes.
 Term 2 – Geometry: Draw, measure and name angles. Find unknown angles using angles rules, find unknown angles using rules within parallel lines. Understand properties of triangles and quadrilaterals.
 Term 3 – Fractions: Equivalent fractions, fractions and decimals, mixed and improper, fraction of a quantity. Add, subtract, multiply and divide with fractions and mixed numbers.
 Term 4 – Algebra: Completing and understanding how to apply the correct order of operations. Introduce the basics of algebra including substitution and simplifying algebraic expressions. Continuing sequences and calculating nth term.
 Term 5 – Percentages: Convert between fractions, decimals and percentages. Calculations with percentages, percentage of a quantity and percentage increase and decrease.
 Term 6 – Statistics: Collect and organise data. Read and draw bar charts, pie charts and pictograms. Understand averages by calculating mean, median and mode.
Year 8 Topics:
 Term 1 – Number: Exploring factors, multiples and primes including writing a number as a product of its primes. Highest Common Factor (HCF) and Lowest Common Multiple (LCM) and calculating these with Venn diagrams. Add, subtract, multiply and divide with fractions and mixed numbers.
 Term 2 – Equations and Inequalities: Calculating with negative numbers and understanding inequality statements, solving linear equations and inequalities and continuing sequences and calculating nth term.
 Term 3 – 2D Geometry: Construct triangles and quadrilaterals. Convert between units of length and area. Perimeter and area of 2D shapes including triangles, parallelograms and trapezia. Use compound measures for speed, density and pressure.
 Term 4 – Ratio and Proportion: Represent ratios, share parts into given ratios and write ratios as fractions. Direct and inverse proportion. Calculations with percentages, percentage increase and decrease, compound interest and reverse percentages.
 Term 5 – Circles and 3D Geometry: Rounding, significant figures and estimating. Circumference and area of a circle. Understand the properties of 3D shapes and draw nets. Calculate the volume of prisms.
 Term 6 – Linear Graphs: Plot coordinates and draw linear graphs. Paying attention to horizontal and vertical lines, calculating gradients, both positive and negative and calculating midpoints of lines.
Year 9 Topics:
 Term 1 – Algebraic Expressions: Understanding arithmetic and geometric sequences. Changing the subject of a formula. Expanding binomials and factorising quadratic expressions. Using rules of indices and writing and reading standard form.
 Term 2 – Constructions and shapes: Accurately completing constructions and understanding loci. Begin to prove congruency and similarity. Calculate missing angles in regular and irregular polygons.
 Term 3 – Equations and inequalities: Construct and solve equations and solve quadratic equations. Solve simultaneous equations graphically and algebraically. Drawing quadratic, cubic and reciprocal graphs.
 Term 4 – 2D Geometry: Pythagoras Theorem and Trigonometry in right angled triangles. Accurately complete and describe all transformations, including, translations, rotations, reflections and enlargements.
 Term 5 – Statistics: Understand averages by calculating mean, median and mode and from a grouped frequency table. Comparing data sets and sampling methods. Reading and drawing scatter graphs and using them to make predictions.
 Term 6 – 3D Geometry: Compare units of volume and area. Calculate the volume and surface area of prisms, cylinders, cones, spheres and pyramids.
Useful Resources:
https://www.bbc.co.uk/bitesize/subjects/zqhs34j
Subject Leader(s):
Mr E Hargreaves (hargreavese@saintgeorgescofe.kent.sch.uk)
Mr L SmithShepherd (smithshepherdl@saintgeorgescofe.kent.sch.uk)
Examinations
Students study towards the GCSE Mathematics exam to be taken at the end of Year 11. There are two tiers, Higher (Grades 49) and Foundation (Grade 15), students will be selected for appropriate tiers depending on work ethic and ability. Currently we use OCR for Foundation and Edexcel for Higher.
Lessons and homework:
Year 10 & 11 – Fortnightly students have 9 lessons. Students receive a paper homework once a week. This contains a mixture of topics taught during the previous week, as well as a selection of questions on topics encountered in the past to aid students in retrieval practice. Homework support is available after school every day in rooms 3 & 8.
Lesson style:
Year 10 – All lessons have embedded a collaborative (Kagan) approach to learning mathematics. Topics have a combination of mastery techniques, concrete pictorial and abstract (CPA), discovery and structured consolidation of topics. More emphasis is placed on exam technique and preparation for GCSEs.
Year 11 – Lessons are based around structured consolidation to ensure preparation for GCSEs. All topics from previous years are covered, exam papers are systematically used to support revision.
Assessment:
Year 10 – All students are assessed on all topics they have covered in a single half term. Students are expected to complete independent study to prepare for an assessment. SIT (Strengths, Improvements and Targets) marking will be given and an opportunity to reflect and improve on results is given after in the form of DIRT (Dedicated, Improvement and Reflection Time).
In the final term of the year students will take part in a PPE (Mock Exam) in the tier that has been chosen for them. Exams will take place in the hall.
Year 11 – Students are assessed through the whole school PPE schedule and are given full mock exams at two stages throughout the year. From year 11 we provide onehour compulsory revision per week after school on a Wednesday between 3:15 and 4:15. This however will only support the independent revision that needs to take place to reach their full potential.
Year 10 Topics:
Foundation tier:
 Term 1 – Number: Estimating square roots and using rules of indices. Percentages including increase and decrease, profit and loss and compound interest. Calculating nth term of a sequence and calculating with standard form.
 Term 2 – Geometry: Solve problems with similar shapes. Read and draw bearings accurately and prove angle rules algebraically. Solve problems with Pythagoras theorem and trigonometry.
 Term 3 – Algebra and Graphs: Understand linear graphs including parallel and perpendicular lines. Using and manipulating constant acceleration formulae. Solve problems with basic vectors.
 Term 4 – Probability: Theoretical and experimental probability. Using twoway tables and listing outcomes of events. Understanding Venn diagrams and probability trees.
 Term 5 – Applications of Algebra: Expand and factorise quadratic expressions. Draw and read quadratic, cubic and reciprocal graphs. Solve simultaneous equations graphically and algebraically.
 Term 6 – Geometry and Algebra: Circumference and area of circles, arcs and sectors of circles. Solve problems with direct and inverse proportion.
Higher tier (In addition to all covered in Foundation):
 Term 1 – Number: Calculating with fractional powers, surds including rationalising the denominator. Calculating the nth term of quadratic sequences. Recurrence relations and solving equations by iterative methods.
 Term 2 – Geometry: Solving problems in 3D using Pythagoras theorem and trigonometry. Understanding exact values and trigonometric graphs.
 Term 3 – Algebra and Graphs: Solve complex vector problems. Calculate equations of parallel and perpendicular lines and shade regions of inequalities on graphs.
 Term 4 – Probability: Topics for probability and using probability trees and using conditional probability.
 Term 5 – Applications of Algebra: Drawing and reading exponential graphs. Solving quadratic with coefficients greater than 1 and by completing the square and using the formula. Calculating with algebraic fractions.
 Term 6 – Geometry and Algebra: Apply and prove circle theorems. Calculate the equation of a circle and tangent to a circle. Direct and inverse proportion with powers and roots.
Year 11 Topics:
Year 11 will complete a program of study which will cover each of the following topics given in various forms and with exam technique highlighted throughout.
Foundation Tier
 Basic Number
 Multiples, Factors and Primes – HCF and LCM
 Place Value – Square and Cube numbers
 Prime Factors
 Long Multiplication and Division – Negative numbers
 Order of Operations
 Fractions, Decimals and Percentages
 Equivalent and simplifying
 Ordering Fractions – Mixed and Improper numbers
 Add/Subtract/Multiply/Divide
 Problems
 Order fractions, decimals and percentages
 Percentage of an amount
 Percentage increase/decrease – Percentage profit/loss
 Percentage problems
 Compound Interest
 Angles
 Straight line, vertically opposite and round a point
 Parallel lines, Perpendicular lines
 Triangles – Special triangles
 Polygons – interior/exterior angles
 Bearings
 Algebra
 Collecting like terms
 Expanding Brackets – Double brackets
 Factorising – Factorising quadratics
 Solve equations – 1 step/2 step/brackets/variables on both sides
 Solve quadratics
 Graphs
 Linear – Coordinates, y=n, x=n, y=mx+c
 Quadratic
 Cubic and reciprocal
 Inequalities
 Number line
 Solving inequalities
 Change the subject of a formula
 Midpoints and gradients
 Calculate midpoint and gradient
 Recognise parallel lines
 Area and Perimeter
 Rectangle, Triangle, Parallelogram, Trapezium, Circle.
 Circle – Area sectors and Arc Length
 Compound shapes
 Problem solving
 3D Shapes
 Plans, Elevations and Nets
 Volume of Cuboids
 Volume of Prisms
 Surface Area – Cubes, Cuboids, Prisms
 Volume/Surface Area – Cylinder
 Pythagoras and Trigonometry
 Simple Pythagoras
 Trigonometric ratios and how to use them
 Problem solving
 Data Handling
 Pictograms – Bar Charts – Pie Charts – Scatter Graphs
 Types of data
 Frequency Polygon – Venn diagram
 Averages – Mean, median, mode and range – advantages and disadvantages
 Grouped frequency tables
 Transformations
 Rotational symmetry
 Translation, rotation, reflection and enlargement
 Construction and Loci
 Construct triangles, angle bisector, perpendicular bisector
 Problem solving
 Ratio
 Simplifying and writing
 Writing as fractions
 Calculating amounts from a ratio
 Worded problems
 Direct and Inverse proportion problems
 Probability
 Of an event
 Twoway tables, sample space diagrams
 Mutually exclusive and independent events
 Probability trees – AND/OR – Dependant events
 Vectors
 Basic vectors –column vectors
 Problem solving
 Measures
 Convert unit lengths, area and volume
 Imperial/ Metric
 Speed, distance and time – calculations and graphs – problem solving
 Density, mass and volume – problem
 Sequences
 Complete a sequence
 Nth term
 Is a number part of a sequence?
 Standard Form
 Write numbers in standard form – large/small
 Calculating with standard form
 Congruent Shapes
 Conditions for congruency
 Problems and proof
 Simultaneous equations
 Solving
 Forming and solving
Higher Tier
All foundation topics are deemed assumed knowledge, therefore any gaps in knowledge would also need to be revised from the foundation tier list.
 Indices
 Basic indices multiplying and dividing
 Negative indices
 Fractional indices
 Standard Form
 Writing small and large numbers
 Calculating with standard form
 Percentages
 Percentage increase/decrease – Percentage profit/loss
 Percentage problems
 Compound Interest and depreciation
 Sequences
 Complete a sequence
 Nth term
 Is a number part of a sequence?
 Quadratic nth term
 Transformations
 Rotational symmetry
 Translation, rotation, reflection and enlargement
 Enlargement with negative scale factor
 Combining transformations
 Similar shapes
 Using scale factor to calculate lengths
 Proving similarity and congruence in triangles
 Surds
 Simple rules of surds
 Rationalising the denominator
 Angles
 Straight line, vertically opposite and round a point
 Parallel lines, Perpendicular lines
 Triangles – Special triangles
 Polygons – interior/exterior angles
 Bearings
 Pythagoras and Trigonometry
 Simple Pythagoras
 Trigonometric ratios and how to use them
 Problem solving
 Sine and cosine rule
 Using trigonometry to calculate area of a triangle
 Graphs
 Linear – Coordinates, y=n, x=n, y=mx+c
 Understanding y = mx + c
 Quadratic
 Cubic
 Reciprocal
 Exponential
 Vectors
 Basic vectors –column vectors
 Problem solving
 3D Shapes
 Plans, Elevations and Nets
 Volume of Cuboids
 Volume of Prisms
 Surface Area – Cubes, Cuboids, Prisms, Spheres
 Volume – Cubes, Cuboids, Prisms, Spheres
 Probability
 Of an event
 Twoway tables, sample space diagrams
 Mutually exclusive and independent events
 Probability trees – AND/OR – Dependant events
 Venn Diagrams and data set
 Algebra
 Collecting like terms
 Expanding Brackets – Double brackets
 Factorising – Factorising quadratics
 Solve equations – 1 step/2 step/brackets/variables on both sides
 Solve quadratics
 By factorising
 Using the formula
 Completing the square
 Solving simultaneous equations
 Algebraic fractions – All functions
 Area and Perimeter
 Rectangle, Triangle, Parallelogram, Trapezium, Circle.
 Circle – Area sectors and Arc Length
 Compound shapes
 Problem solving
 Variation
 Direct proportion
 Inverse proportion
 Circle theorems
 Equation of a circle
 Recognising
 Calculating the equation of a line perpendicular to a circle
 Cumulative Frequency
 Plotting and drawing the graph
 Using quartiles and inter quartile range
 Histograms
 Drawing and using histograms
 Calculating frequency density
 Compound measure
 Speed
 Density
 Pressure
Useful Resources:
Exam Specifications and past papers
www.edexcel.com/subjects/mathematics
www.ocr.org.uk/qualifications/bysubject/mathematics
Contact : Mr E Hargreaves 
Examination Board : Edexcel. 
What is Maths A level about?
Mathematics at AS and A2 level is comprised of three main areas:
Pure Mathematics, Statistics and Mechanics. Pure Mathematics is the study of the basic principles of Mathematics that underpin many real life processes. During this part of the course you will extend your knowledge of such topics as algebra, trigonometry and sequences. You will also learn new concepts such as calculus. Statistics is the study of data. This part of the course will teach you how to critically analyse data and how probability theory can be used to model real life situations. Mechanics is a practical application of Mathematics. It considers how we can use Mathematics to model reallife situations and how best to solve physical problems.
Course Requirements
Prospective students must have at least a grade B at GCSE Mathematics, though an A grade is desirable. There is a significant difference in the expected outcome of students who achieved an A grade at GCSE compared with those who achieved a B grade due to the difficult nature of the subject.
Since the course is very algebra based you must also have good skills in manipulating algebra and you will be tested on this during the first week of the course.
Between Year 11 and Year 12, students are required to complete a summer work booklet. This is a unit of work designed to bridge the gap between GCSE and A level. It should take students around two hours to complete and mainly focuses on the B, A and A* topics of GCSE which are fundamental in A level Maths.
Three weeks after commencing the A level Maths course, students will be given an induction assessment to complete. This allows us to accurately assess whether or not Mathematics A level is the correct course. We carry out this testing very early in the course, as it is extremely important that students who will struggle to cope with the nature and demands of Mathematics A level are identified.
Where could it lead?
Mathematics is a highly employable A level to have. Most students who study Mathematics go on to careers in Engineering, Computer Science, Finance, Investment Analyst, Science and Research, Medicine, Economics, Statistician, Chartered Accountant, Systems Developer.
Expectations
 The department expects all ‘A’ level students to approach their studies in a mature fashion and to complete all tasks to the best of their ability both in class and for homework tasks.
 Students are expected to complete at least 4 hours of additional work outside of lessons per week. This is particularly important in Maths as the techniques learnt cannot be simply learnt and then recalled in a test. They need to be practiced.
 Each student will need to bring their Module textbook and a lever arched folder to each lesson together with a stationary supply and scientific calculator.
 Students carry out an assessment after each unit of work (around every two weeks). Students are expected to remain on target and complete each assessment to a satisfactory standard. Students who do not perform as expected will be required to retake the assessment/s (times will be announced).
 Most importantly, students must arrive with enthusiasm and a willingness to learn.
Complementary Subject Combinations
The main links between other subjects and Maths come from the choice of applied topic:
 Mechanics – fits well with Physics as there is a lot of overlap in the content of the courses
 Decision – there are many A levels and degrees that use the techniques learned in Decision Maths. Computer Sciences and Programming, Business and Management and Electronics all have elements of Discrete Maths (another name for Decision Maths), in their university courses.
 Statistics – fits well with Psychology and Biology as they use statistical analysis in some of their coursework.
Useful Links
Video Tutorials. The most useful website in my opinion is www.examsolutions. It contains videos on all A level topics which are a useful start point for students who are reading ahead.
Past question papers are an essential part of the revision process for Mathematics, it is important to get plenty of practice of the type of questions you will be asked in exams. At the end of each chapter in the text book there is a mixed exercise made up of past exam questions and we always leave plenty of time after completing the learning for the module to do past paper practice, both under exam conditions and as an open book revision tool. The entire collection of Edexcel past Quest Papers for all modules is located via this link http://www.mathspapers.co.uk/edexcel.html.
Textbooks
Edexcel AS and A Level Modular Mathematics: Core Mathematics 1 (C1), by Keith Pledger and Mr Dave Wilkins (13 May 2008).
Edexcel AS and A Level Modular Mathematics: Core Mathematics 2 C2), by Keith Pledger and Mr Dave Wilkins (13 May 2008).
Edexcel AS and A Level Modular Mathematics: Core Mathematics 3 (C3), by Keith Pledger and Mr Dave Wilkins (13 May 2008).
Edexcel AS and A Level Modular Mathematics: Core Mathematics 4 (C4), by Keith Pledger and Mr Dave Wilkins (13 May 2008).
Edexcel AS and A Level Modular Mathematics – Statistics 1, by Keith Pledger et al (Author), Alan Clegg (Author), Susan Gardner (Editor).
Edexcel AS and A Level Modular Mathematics – Mechanics 1 by Ms Susan Hooker, Mr Michael Jennings, Bronwen Moran and Mr Laurence Pateman (3 Oct 2008).
How is this course structured?
All units are equal weighting.
Unit Content  Unit Assessment 
AS Unit 1: Core Maths 1 This extends your GCSE knowledge of Algebra.Indices and Coordinate systems. It also teaches you how to express your Mathematics correctly. This is the only noncalculator option.  Module examination in May/June ofYear 12. 
AS Unit 2: Core Maths 2 This builds upon the work you did in Core 1. In this module you begin to look at such topics as Calculus and Trigonometry. 
Module examination in May/June ofYear 12. 
AS Unit 3: Statistics 1 This module covers how to analyse data, the binomial distribution, probability theory and how to test whether a particular result is significant 
Module examination in June of Year 12. 
A2 Unit 4: Core Maths 3 This module extends the calculus techniques that you learnt in Core 2. It also looks at functions and natural logarithms. You will be required to produce a piece of coursework. 
Module examination in June of Year 13. 
A2 Unit 5: Core Maths 4 This module is called Applications of Advanced Mathematics. The module extends all the topics you have learnt thus far and asks you to apply them in more complex situations. 
Module examination in June of Year 13. 
AS Unit 3: Mechanics 1 This looks at how to model situations involving velocity, distance and time. It also considers the motion of projectiles.  Module examination in June of Year 13. 
Mathematics Course Pathways
Course  Modules Studied – AS  AS Cashin code  Modules Studied – A2  A2 Cashin code 
Maths Mechanics  C1 6663 C2 6664M1 6677 
Maths 8371  C3 6665 C4 6666M2 6678 
Maths 9371 
Maths Statistics  C1 6663 C2 6664S1 6683 
Maths 8371  C3 6665 C4 6666D1 6689 
Maths 9371 
Pure Maths  C1 6663 C2 6664C3 6665 
Maths 8371 
C4 6666FP1 6667FP2 6668

Pure Maths 9372 
Further Maths 
M1 6677 S1 6683 
Maths 8371and Further Maths 8372 
M2 6678 S2 6684 
Maths 9371and Further Maths 9372 
Two A – Levels (Maths and Further Maths) 
Maths (using C12 and e.g. M1) and Further Maths (using FP1, and remaining two applied units) 