Important Notices

Mathematics

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Mathematics 2017-11-17T10:20:48+00:00

We wish to teach girls appropriate Mathematics through an interesting and varied approach so that girls are not only able to reach their full potential at each Key Stage but enjoy and have confidence in using and applying Mathematics.

General Aims and Objectives
  • To have high expectations for all girls.
  • For all girls to have a challenging yet accessible curriculum.
  • For all girls to find Mathematics an enjoyable subject.
  • For all girls to develop problem solving skills.
  • For girls to take responsibility for their own learning.

Girls are expected to bring their own basic mathematical instruments to every lesson. These include a pen, pencil, ruler, compasses, protractor and calculator. Girls will be more successful if they are familiar with their own calculator.

Internal key assessments are conducted in half termly modules to measure pupils’ progress. These are used alongside class work and homework to ensure development.

The Mathematics Department organises Mathematics Challenge events for certain groups in Years 7 to 13 which will enrich mathematical experience of those involved.

If successful, they may receive a Bronze, Silver or Gold certificate. There is also a Team event for the older girls.

In addition to their classroom experience, there is an additional opportunity for girls to develop their problem solving skills at puzzle club that runs on a weekly basis.

Key Stage 3

Year 7

The girls are taught initially in mixed ability classes and set after the October half term.

Schemes of Work

Students will cover the following topics:

  • Whole numbers and decimals
  • Measures, perimeter and area
  • Expressions and Formulae
  • Fractions, Decimals and Percentages
  • Angles and 2D shapes
  • Graphs
  • Whole number calculations
  • Statistics
  • Transformations and Symmetry
  • Equations
  • Factors and Multiples
  • Constructions and 3D shapes
  • Sequences
  • Decimal Calculations
  • Ratio and Proportions
  • Probability
  • Everyday Maths

Year 8

Schemes of Work

Students will cover the following topics:

  • Expressions and Formulae
  • Fractions, Decimals and Percentages
  • Angles
  • Transformation
  • Decimals and Calculator Methods
  • Statistics
  • Graphs
  • Equations
  • Powers and Roots
  • Constructions
  • Algebra
  • 3D shapes
  • Ratio and Proportion
  • Probability
  • Whole Number and Decimals
  • Measure, Perimeter and Area
Key Stage 4

Year 9

GCSE Mathematics – EDEXCEL Code: 1MA1 – Specifications

Students begin their Study of the GCSE syllabus in Year 9. This enables them more time to prepare for their Year 11 external examinations. During Year 9, 10 and 11 there will be more focus on the application of their knowledge, reasoning and problem solving.

Schemes of Work

Students will cover the following topics:

Higher

  • Calculation Checking and Rounding
  • Graphs: The Basics and Real Life Graphs
  • Fractions
  • Algebra
  • Polygons, Angles and Parallel lines
  • Collecting Data
  • Representing and Interpreting Data
  • Scatter Graphs
  • Factors, Multiples and Primes
  • Sequences
  • Indices, Roots, Reciprocals and Hierarchy of Operations
  • Constructions, Loci and Bearings
  • Standard Form
  • Perimeter, Area and Circles
  • Percentages
  • Setting up, Re-arranging and Solving Equations
  • Solving Simultaneous Equations
  • Linear Graphs and Co-ordinate Geometry
  • Probability

Foundation

  • Integers and place value
  • Graphs
  • Fractions
  • Algebra; the basics
  • Polygons, Angles and Parallel lines
  • Collecting data
  • Charts and graphs
  • Scatter Diagrams
  • Factors, Multiples and Primes
  • Sequences
  • Isometric drawing/Plans and Elevations
  • Constructions, Loci and Bearings
  • Indices and Standard Form
  • Perimeter, Area and Circles
  • Percentages
  • Setting up, rearranging and solving equations
  • Linear graphs and Coordinate Geometry
  • Probability

Year 10

Schemes of Work

Students will cover the following topics:

Higher

  • Inequalities
  • Ratio and Proportion
  • Averages and Range
  • Cumulative Frequency and Box Plots
  • Pythagoras and Trigonometry
  • Histograms
  • 3D Forms and Volume, Cylinders, Cones and Spheres
  • Accuracy and Error Intervals
  • Direct and Inverse Proportion
  • Indices, Roots, Reciprocals and Hierarchy of Operations.
  • Solving Quadratics
  • Transformations
  • Similarity and congruence
  • Quadratic Functions and Graphs
  • Vectors
  • Circle Theorems
  • Further Trigonometry
  • Circle Geometry
  • Quadratic, Cubic and other Graphs
  • Graphs of Trigonometric Functions
  • Direct and Inverse Proportion

Foundation

  • Review equations
  • Inequalities
  • Ratio and proportion
  • Averages and range
  • Pythagoras and trigonometry
  • Decimals
  • 3D Forms and Volume, cylinders, cones and spheres
  • Fractions, decimals and percentages
  • Multiplicative reasoning
  • Indices , powers and roots
  • Quadratic equations, expanding/factorising
  • Transformations I
  • Transformations II
  • Similarity and congruence
  • Quadratics equations: graphs
  • Vectors
  • Fractions II
  • Tables
  • Easter
  • Perimeter, area and volumes
  • Expressions and substitution formulae
  • Rearranging equations
  • End of Year exams
  • Area and circumference circles
  • Indices and standard form
  • Percentages
  • Straight line graphs

Year 11

Schemes of Work

At the beginning of the year, Year 11 will be taught the final content and will focus on reviewing existing content from a problem solving perspective. For the remainder of the year, they will be working on preparations towards their final exam, whilst focusing on their reasoning and problem solving skills.

Students will cover the following topics:

Higher

  • Linear Graphs and Co-ordinate Geometry
  • Setting up, Rearranging and Solving Equations
  • Complex Algebra
  • Reciprocal Exponential Graphs, Gradient and Area Under Graphs
  • Probability
  • Solving Quadratics
  • Quadratic, Cubic and Circle Functions
  • Further Trigonometry
  • Vectors and Geometric Proof
  • Pythagoras and Trigonometry
  • Histograms

Foundation

  • Real Life Graphs/ Straight-line graphs
  • Transformations
  • Ratio and Proportion
  • Pythagoras and trigonometry
  • Multiplicative reasoning
  • Probability
  • Plans and elevations/ Constructions, loci and bearings
  • Quadratic equations
  • Perimeter, area and volume 2: circles, cylinders, cones and spheres
  • Perimeter and area and circles/3D forms and volume
  • Fractions
  • Indices and standard form
  • Similarity and congruence in 2D
  • Vectors
  • The averages
  • Angles
  • Equations/Inequalities/Sequences
  • Percentages
  • Simultaneous equations
  • Charts and graphs/Pie charts
  • Scatter graphs
  • Rearranging equations, graphs of cubic and reciprocal functions and simultaneous equations

How will my progress be tested and examined?

Students will either be entered for the  Foundation tier (Grade 1 to 5) or the Higher tier (Grade 4 to 9)

Three external examination papers make up 100% of the Maths GCSE. They are broken down as follows:

Paper 1 – Non-Calculator (33.3%)

Paper 2 – Calculator (33.3%)

Paper 3 – Calculator (33.3%)

Regular school tests and examinations will be set throughout the course to monitor progress. Each girl will be prepared for the level of examination most suited to her individual learning needs.

Progression – How will the study of Mathematics benefit students’ future education and career?

GCSE Mathematics at Grade 5 or above is a requirement of:

  • All University courses.
  • All Sixth Form courses.
  • Employers.

Skilled Mathematicians are highly sought after in the jobs market especially in the Banking, Finance, Insurance and STEM sectors.

Key Stage Five

Year 12 

AS & A2 Mathematics – EDEXCEL Codes: 8MA0 & 9MAO 

Course Content – What will I study?

While studying Mathematics, you will be expected to:

  • Use mathematical skills and knowledge to solve problems.
  • Solve quite complicated problems by using mathematical arguments, modelling and logic. You will also have to understand and demonstrate what is meant by proof in mathematics simplify real life situations so that you can use mathematics to show what is happening and what might happen in different circumstances.
  • Use the mathematics that you learn to solve problems that are given to you in a real life context.
  • Use calculator technology and other resources (such as formulae booklets or statistical tables) effectively and appropriately; understand when not to use such technology and its limitations.

How will my progress be tested and examined?

  • There are 2 units of Pure Mathematics and 1 of Applied Mathematics. The Applied Units contain both a Statistics and Mechanics element.
  • These courses are externally examined at the end Year 13, all are calculator papers.
  • Three 2 hour examinations at the end of Year 13.
  • Paper 1 (33.3%) Any Pure mathematics content
  • Paper 2 (33.3%) Any Pure mathematics content
  • Paper 3 (33.3%) Statistics and Mechanics
  • Internal key assessments are conducted to measure pupils progress. These are used alongside class work and homework to ensure development.

Schemes of Work

Students will cover the following topics

Pure Content:

  • Algebraic expressions
  • Quadratics
  • Equations and inequalities
  • Graphs transformations
  • Straight line graphs
  • Circles
  • Algebraic methods
  • The binomial expansion
  • Trigonometric identities and equations
  • Vectors
  • Differentiation
  • Integration
  • Exponential and Logarithms

Statistics

  • Data Collection
  • Measures of Location and Spread
  • Representations of Data
  • Correlation
  • Probability
  • Statistical Distributions
  • Hypothesis Testing

Mechanics

  • Modelling in Mechanics
  • Constant Acceleration
  • Forces and Motion
  • Variable Acceleration

Year 13

AS & A2 Mathematics – EDEXCEL Codes: 8371 & 9371 – Specifications

Course Content – What will I study?

While studying Mathematics, you will be expected to:

  • Use mathematical skills and knowledge to solve problems.
  • Solve quite complicated problems by using mathematical arguments and logic. You will also have to understand and demonstrate what is meant by proof in mathematics simplify real life situations so that you can use mathematics to show what is happening and what might happen in different circumstances.
  • Use the mathematics that you learn to solve problems that are given to you in a real life context.
  • Use calculator technology and other resources (such as formulae booklets or statistical tables) effectively and appropriately; understand when not to use such technology and its limitations.

How will my progress be tested and examined?

  • These courses are externally examined.
  • There are 4 units of Pure Mathematics and 2 of Applied Mathematics. The Applied Units are usually Statistics or Mechanics.
  • The AS comprises 3 units examined at the end of Year 12.
  • The full A Level comprises 6 units in total , 3 of which will be examined at the end of Year 13.

Topics Covered:

Core 3

  • Algebraic Fractions
  • Functions
  • The Exponential and Log Functions
  • Numerical Methods
  • Transforming Graphs of Functions
  • Trigonometry
  • Further Trigonometric Functions and their Applications
  • Differentiation

Core 4

  • Partial Fractions
  • Coordinate Geometry in the (x,y) plane
  • The Binomial Expansion
  • Differentiation
  • Vectors
  • Integration

Statistics 2

  • Binomial Distribution
  • Poisson Distribution
  • Continuous Random Variables
  • Continuous Uniform Distribution
  • Normal Approximations
  • Population and Samples
  • Sampling
  • Hypothesis Testing

AS & A2 Further Maths – EDEXCEL Codes: 8FM0 and 9FM0 Specifications

Course Content – What will I study?

While studying Further Mathematics, you will be expected to apply the same principles as the AS/A2 Level Mathematics, to a much higher standard.

How will my progress be tested and examined?

  • This course is externally examined.
  • It is studied alongside the AS/A2 Mathematics.
  • Four 1 and a half hour examinations at the end of Year 13
  • Paper 1 (25%) Any Further Pure content
  • Paper 2  (25%) Any Further Pure content
  • Paper 3 & 4 (25% each) Further Mathematics Options 1 & 2

Progression – How will the study of Mathematics benefit students’ future education and career?

GCSE Mathematics at Grade 5 or above is a requirement of:

  • All University courses.
  • All Sixth From courses.
  • Employers.

Skilled Mathematicians are highly sought after in the jobs market especially in the Banking, Finance Insurance and STEM sectors.

Schemes of Work

Students will cover the following topics

  • Complex Numbers
  • Argand Diagrams
  • Series
  • Roots of Polynomials
  • Volumes of Revolution
  • Matrices
  • Linear Transformations
  • Proof by Induction
  • Vectors