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Mathematics

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“Pure mathematics is in its way, the poetry of logical ideas.” – Albert Einstein  

At school, our Mathematics curriculum is designed to foster students' logical reasoning skills, enabling them to tackle complex problems and apply these skills in their everyday lives. We go beyond traditional math education by offering a unique future pathway program, exclusive to Langton, which instills a lifelong appreciation for the role mathematics plays in various fields. In this program, students discover that mathematics can be a creative subject, allowing them to explore patterns and devise innovative solutions to intricate problems.  

From the moment students embark on their Langton journey in Year 7, we empower them to become confident mathematicians. Our curriculum, combined with extensive support, boosts their self-assurance and significantly increases the number of students choosing to study mathematics at A Level. At Langton, we believe in teaching mathematical literacy, equipping students with essential cognitive abilities and highly sought-after graduate skills needed to navigate a data-driven society. These skills not only enable our students to gain access to prestigious universities but also open doors to lucrative and rewarding career opportunities.  

By the end of their time at Langton, our students have experienced the immense satisfaction of successfully solving problems and comprehend how the study of mathematics has equipped them to pursue both their personal and academic aspirations. 

KS3

Year Group

Areas of Study

7

Term 1: Multiplication and division, data, fractions

Term 2: Decimals, angles, negative numbers, BODMAS, rounding, algebraic expressions, co-ordinates

Term 3: Power and roots, substituting into formulae, averages, solving equations

Term 4: Probability, percentages, pie charts, reflection and rotational symmetry, construction, quadrilaterals

Term 5: Polygons, nets, plans and elevations

Term 6: Brackets in algebra, indices, ratio, proportion, units of length/mass/capacity, perimeter and area, prime factorisation, time and timetables

8

Term 1: Solving equations, approximation, percentage change, probability

Term 2: Indices, similarity and congruence, transformations, expanding and factorising, standard form

Term 3: Rearranging formulae, Pythagoras’ theorem, straight line graphs, scatter graphs

Term 4: Averages, simultaneous equations, volumes of prisms and cylinders, travel graphs

Term 5: Quadratics, bounds, inequalities

Term 6: Recurring decimals, sequences, constructions, loci

9

Term 1: Algebraic expressions, substitution, brackets, factorising, linear equations, rearranging formulae, probability, Venn diagrams

Term 2: Functions, unit conversions, compound measures, circles, arc length, sectors, volume, surface area

Term 3: Quadratics, percentages, ratio, proportion, vectors

Term 4: Indices, surds, coordinates, equation of a straight line, real life graphs

Term 5: angles, polygons, scale drawings, bearings, HCF and LCM, curved graphs, circle theorems

Term 6: Averages, sampling, time series graphs, Pythagoras’ theorem, trigonometry, frequency trees, probability trees.

GCSE

Board

Edexcel GCSE Mathematics (1MA1)

Outline of the Course

  • Number: working with integers, fractions & decimals, order of operations, factors & multiples, powers & reciprocals, percentages, surds, standard form, units, estimation and limits of accuracy, indices
  • Algebra: algebraic manipulation, linear & quadratic equations, functions, curved graphs, simultaneous equations, inequalities, linear & quadratic sequences, algebraic fractions, proof, exponential functions, graph transformations, circle equations, iteration, area under a curve, real life graphs
  • Ratio & Proportion: compound units, direct & inverse proportion, growth & decay, scale factors, similar areas & volumes, percentage increase & decrease, rates of change
  • Geometry: coordinates, construction, loci, similarity & congruence, angles in polygons, angles in parallel lines, angle properties in triangles and quadrilaterals, plans and elevations, circles, bearings, scale drawings, Pythagoras’ Theorem, trigonometry, sine & cosine rules, transformations, circle theorems, areas, volumes, surface areas, vectors
  • Probability: listing outcomes, frequency trees & tree diagrams, relative frequency, combined events, mutually exclusive events, Venn diagrams, independent and conditional probability, histograms
  • Statistics: sampling, distributions, working with grouped data, types of statistical diagrams, comparing data sets, scatter graphs, averages and spread

Assessment

 

Type of Assessment

Duration

Weighting

1

Examination paper 1H (Non-calculator)

1 hour 30 minutes

33.3%

(80 marks)

2

Examination paper 2H

1 hour 30 minutes

33.3%

(80 marks)

3

Examination paper 3H

1 hour 30 minutes

33.3%

(80 marks)

A Level

Minimum Entry Criteria

Essential: 7 in Maths

Board

Edexcel

Outline of the Course

  • Pure Maths: Proof, Algebra & Functions, Co-ordinate Geometry, Sequences & Series, Trigonometry, Exponentials & Logarithms, Differentiation, Integration, Vectors, Numerical Methods
  • Statistics & Mechanics: Statistical Sampling, Data Presentation & Interpretation, Probability, Statistical Distributions, Hypothesis Testing, Quantities & Units in Mechanics, Kinematics, Forces & Newton’s Laws, Moments

Assessment

 

Type of Assessment

Duration

Weighting

1

Examination: Pure Maths

2 hours

33.3%

2

Examination: Pure Maths

2 hours

33.3%

3

Examination: Statistics & Mechanics

2 hours

33.3%

 

Mathematics in Context – Core

Minimum Entry Criteria

Essential: 5 in Maths

Board

Edexcel

Outline of the Course

This is a one year AS course aimed to support students who are not taking A Level Mathematics, but who are taking A Level subjects with some mathematical content, such as Psychology, Biology, Geography or Business Studies. You will develop and learn to apply real-world maths skills through solving problems in various contexts, including Social Networking, Sport, Travel, Finance and Health. The maths content of the course will focus on four main areas:

  • Application of Statistics
  • Probability
  • Linear Programming
  • Sequences and Growth

Assessment

 

Type of Assessment

Duration

Weighting

1

Examination: Comprehension

1 hour 40 minutes

40%

2

Examination: Applications

1 hour 40 minutes

60%

 

Further Mathematics

Minimum Entry Criteria

Essential: 8 in Maths

Board

Edexcel

Outline of the Course

The combination of modules offered at Simon Langton Girls' Grammar School consists of Further Pure Maths 1 and 2, Decision 1 and Further Mechanics 1. No other modules can be taken as part of our Further Maths course. Details of the modules offered are as follows:

  • Further Pure Maths 1: Proof, Complex Numbers, Matrices, Further Algebra & Functions, Further Calculus, Further Vectors
  • Further Pure Maths 2: Complex Numbers, Further Algebra & Functions, Further Calculus, Polar Co-ordinates, Hyperbolic Functions, Differential Equations
  • Optional Paper 3C: Further Mechanics 1: Momentum & Impulse, Collisions, Centres of Mass, Work & Energy, Elastic Strings & Springs
  • Optional Paper 3D: Decision Maths 1: Algorithms & Graph Theory, Algorithms on Graphs I, Algorithms on Graphs II, Critical Path Analysis, Linear Programming

Assessment

 

Type of Assessment

Duration

Weighting

1

Examination: Further Pure Maths

1 hour 30 minutes

25%

2

Examination: Further Pure Maths

1 hour 30 minutes

25%

3

Examination: Optional Paper: Mechanics

1 hour 30 minutes

25%

4

Examination: Optional Paper: Decision Maths

1 hour 30 minutes

25%
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