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LangleyGrammar School

  • Mathematics

    Years 7&8

    During Years 7-9 the following topics are taught.

    Year 7 Year 8

    Baseline Testing      
    Integers and Decimals
    Sequences and Functions
    Measures
    Fractions, decimals, percentages
    Representing and interpreting data
    Expressions and formulae
    Calculation and measure
    Probability
    2-D shapes and construction
    Integers, fractions and graphs
    Percentages, ratio and proportion
    Expressions and equations
    Transformations and symmetry
    Surveys and data calculations
    Equations and graphs
    3D shapes and construction

    Sequences and roots
    Collecting and representing data
    Ratio and proportion
    Algebra
    Construction and 3D shapes
    Analysing and interpreting data
    Proportional reasoning
    Geometrical reasoning and constructions
    Equations
    Surveys
    Measures
    Calculations
    Graphs

     

    GCSE

    Students studying the subject at GCSE follow the Edexcel specification. During the course the following topics are covered.

    Year 9 Year 10 Year 11
    Fractions
    Collecting and displaying data
    Constructions and loci
    Angles and polygons
    Sequences
    Area and perimeter
    Percentages
    Standard form
    Transformations
    Probability
    Averages and range
    Straight line graphs
    Pythagoras’ Theorem
    Cumulative frequency
    Inequalities
    Compound measures
    Algebra

    Simultaneous equations
    Error bounds
    Similarity and congruence
    Histograms and frequency polygons
    Quadratics
    Indices
    Circle theorems
    Inequalities
    Arcs and sectors
    Probability
    Volumes and surface areas
    Irrational numbers and surds
    Direct and inverse proportionality
    Algebraic fractions
    Sequences
    Trigonometry
    Vectors
    Handling data
    Transforming graphs

    Expanding, factorising, rearrangement
    Functions
    Straight line graphs
    Equation of a circle
    Probability, including Venn diagrams
    Sine and cosine rules
    Completing the square
    Quadratic sequences
    Time series
    Trigonometric functions for angles of any size
    Kinematics

    Certain students will also be studying the following topics as part of the Further Mathematics course:

    • Matrices
    • Factor theorem
    • Differentiation
       

    For more detailed information on the course content and assessment please refer to the examination board website: http://qualifications.pearson.com/en/qualifications/edexcel-gcses/mathematics-2015.html

     

    A Level

    Students studying the subject at A Level follow the OCR (MEI) specification B. Some students also complete a second A Level qualification in Further Mathematics. During the course the following topics are covered.

    Year 12 Year 13

    Students studying A Level Maths study:

    Core Maths
    Algebra, curve sketching, trigonometry, calculus, co-ordinate geometry, sequences, logs and exponentials, vectors, graphs and transformations.

     

    Statistics

    Probability, discrete random variables, working with large data sets, bivariate data, binomial distribution, hypothesis testing.

     

    Mechanics

    Kinematics, forces and Newton's laws of motion, variable acceleration

     

    Further Maths students also study

    - Complex Numbers, matrices, series, chi-squared tests, Numerical methods

     

     

     

    Students studying A Level Maths study:

    Core Maths

    Functions, further calculus, trigonometric functions and identities, parametric equations, differential equations, numerical methods.

     

    Statistics

    Working with data, probability, statistical distributions, statistical hypothesis testing.

     

    Mechanics

    Kinematics, forces and motion, moments of forces, projectiles

     

    Further Maths students also study
    Series and induction, further calculus, polar coordinates, Maclaurin series, hyperbolic functions, first and second order differential equations, work, energy and power, momentum and impulse, centre of mass, circular motion, Hooke’s Law, modelling oscillations, oblique impact, normal and Poisson distributions,further hypothesis testing.

     

    For more detailed information on the course content and assessment please refer to the examination board website: http://www.ocr.org.uk/qualifications/as-a-level-gce-mathematics-b-mei-h630-h640-from-2017/

     

    Additional resources

    Students may find the following links and/or resources useful to further their studies of this subject:

    www.mymaths.co.uk