Mathematics

Mathematics

Mathematics has a great deal to offer students of all abilities.  From the satisfaction of solving a new problem to the sense of intrigue felt when encountering the patterns which pervade the subject, there is something for everyone.  Qualifications in mathematics are highly sought-after by employers.  The five year programme leading to GCSE keeps this in mind whilst seeking to illuminate the subject in its own right.

 

Mathematics - Key Stage 5

AS-Level Mathematics/A-Level Mathematics

AS-Level Mathematics comprises Core Mathematics 1 and 2 together with one applied module (Mechanics, Statistics or Decision Mathematics).

A-Level Mathematics comprises Core Mathematics 1-4 together with two applied modules.

Exam Board: Edexcel

Click here for specification

 

Module

Syllabus

Core Mathematics 1

Algebra and Functions, Quadratic Functions, Equations and Inequalities, Sketching Curves, Coordinate Geometry, Sequences and Series, Differentiation, Integration

Core Mathematics 2

Algebra and Functions, Sine and Cosine Rule, Exponentials and Logarithms, Coordinate Geometry, Binomial Expansion, Radian Measure, Geometric Sequences and Series, Graphs of Trigonometric Functions, Differentiation, Trigonometric Identities and Equations, Integration

Core Mathematics 3

Algebraic Fractions, Functions, The Exponential and Log Functions, Numerical Methods, Transforming Graphs of Functions, Trigonometry, Further Trigonometric Identities, Differentiation

Core Mathematics 4

Partial Fractions, Coordinate Geometry, Binomial Expansion, Differentiation, Vectors, Integration

Mechanics

Kinematics of a Particle Moving in a Straight Line, Dynamics of a Particle Moving in a Straight Line, Statics of a Particle, Moments, Vectors

Statistics

Measures of Central Tendency, Measures of Dispersion, Representation of Data, Probability, Correlation, Regression, Discrete Random Variables, Normal Distribution

Decision Mathematics

Algorithms, Graphs and Networks, Algorithms on Networks, Route Inspection, Critical Path Analysis, Linear Programming, Matchings

     
 

Mathematics - Key Stage 4

Years 9 - 11
GCSE Mathematics

The foundation tier of GCSE Mathematics (grades C-G) provides an emphasis on the essentials of the subject, along with an introduction to problem-solving in practical situations.

The higher tier (grades A*-C) develops a wider and more abstract repertoire.  At this level students encounter demanding areas of the subject and use their abilities to solve problems of greater complexity.

An outline of each syllabus is given below.  Note that Year 9 students follow a course designed both to stimulate interest and provide a firm basis for GCSE.  Further details are available in the relevant schemes of work.

Exam Board: Edexcel

Click here for specification

 

Foundation

Higher

Properties of Number, Collecting and Recording Data, Angles, Fractions and Decimals

Properties of Number, Angles, Scatter Graphs, Fractions, Expressions and Sequences

Two-Dimensional Shapes, Directed Numbers, Decimals, Algebra

Measure, Decimals and Fractions, Expanding Brackets and Factorising, Two-Dimensional Shapes, Linear Equations

Perimeter and Area of 2-D Shapes, Sequences, Angles, Graphs

Collecting and Recording Data, Percentages, Graphs, Transformations, Inequalities

Further Fractions, Processing and Interpreting Data, Graphs, Measure

Estimating and Accuracy, Averages and Spread, Formulae, Pythagoras’s Theorem and Trigonometry, Ratio and Proportion

Percentages, Averages, Equations and Inequalities, Powers and Roots

Processing and Interpreting Data, Three-Dimensional Shapes, Graphs, Probability

Formulae, Circumference and Area of Circles, Probability, Ratio and Proportion

Further Graphs, Trial and Improvement, Indices and Surds, Standard Form, Constructions and Loci, Congruence, Factorising and Completing the Square, Algebraic Proof

Three-Dimensional Shapes, Transformations, Algebra, Estimating and Accuracy

Circle Geometry, Quadratic Equations, Pythagoras’s Theorem and Trigonometry Revisited, Simultaneous Linear and Quadratic Equations

Constructions and Loci, Scatter Graphs, Pythagoras’s Theorem

Similar Shapes, Direct and Inverse Proportion, Vectors, Transformation of Graphs


 

 

Mathematics - Key Stage 3

Starting with the four operations – addition, subtraction, multiplication and division – the path toward abstract problem-solving begins here.  At the same time as students increase their fluency with the language of the subject, they gradually develop confidence in using mathematics to tackle a variety of challenges from across the discipline.

Whilst the programme varies according to the ability of the student, the syllabus below is representative of the mathematics covered in the first two years at the College.

 

 

Year 7

Functions and Sequences
Directed numbers
Estimates
Length, perimeter and area
3-D shapes
Surface area of cubes and cuboids
Fractions and decimals
Averages
Statistical diagrams
Probability
Algebraic terms and expressions
Angles
Coordinates

Grouped frequencies
Data collection
Rounding
Order of operations
Long multiplication and division
Squares and square roots
Straight line graphs
Measuring and drawing angles
Constructions
Percentages
Ratio and proportion
Problems in algebra

Symmetry
Transformations
Presenting data
Probability
Decimal arithmetic
Further fractions and percentages
Equations
Formulae
Polygons
Tessellation
Constructing 3-D shapes

 

Year 8

Negative numbers
Factors, multiples and prime numbers
Powers and roots
Sequences 
Angles
Geometric proof
Constructions
Probability (including experimental probability)
Fractions and decimals
Arithmetic with fractions
Percentage increase and decrease
Expanding brackets and simplifying
Area of 2D shapes

Volume of a cuboid
Imperial units 
Linear functions and graphs
Estimation
Congruence
Transformations (including scale factor)
Equations
Substitution
Stem and leaf diagrams
Pie charts
Scatter graphs
Order of operations
Equations

 

Real-life graphs
Changing the subject of a formula
Logic and proof
Proportion and ratio
Plans and elevations
Scale drawings
Finding the mid-point of a line segment
Construct of triangles
Circumference and area of a circle
Bearings
Comparing data
Experimental and theoretical probability


 

                     
 

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