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  • Mathematics

    Mathematics

    Name of Head of Department

    Mr N Riseborough BSc (Hons), PGCE

    Statement of Intent

    At the core of everything we do is the ideal that mathematics at DHSG should be an exciting adventure where our students are guided to discover the richness and variety of our subject.

    Though our bespoke and ambitious curriculum, we aim to stimulate our students’ interest in and enthusiasm for mathematics, with a commitment to fostering a positive attitude towards their studies.

    Whilst striving to grow a love of studying mathematics for its own sake, it is important that our girls recognise the diverse applications of our subject and how it underpins almost every area of the wider curriculum, from the more obvious science and computing links, through to the music and art subjects.

    Our curriculum offer is much more than teaching the skills required for the GCSE. We teach our girls to ask questions, think critically, and respond with brave reliance when faced with unfamiliar situations.

    It is our intention that at the end of middle years, all girls have a positive view of mathematics and are confident and fluent with the curriculum. Girls will have outstanding foundations for any further study and, importantly, enter the world beyond school as highly numerate citizens.

    Curriculum Programmes of Study

    Year

    Cycle Content

    Year 7

    Cycle 1

    Properties of number
    Using a scientific calculator
    An introduction to algebra
    Algebra: Brackets
    Rounding and estimation
    Area and perimeter

    Cycle 2

    Solving equations
    Straight line graphs
    Probability
    Fractions
    Transformations

    Cycle 3

    Angles
    Averages and range
    Distance-Time graphs
    Sequences
    Ratio
    3D Shapes

    Year 8

    Cycle 1

    Calculations, checking and rounding
    Indices, roots, reciprocals and hierarchy of operations
    Factors, multiples and primes
    Standard form and surds
    Introduction to algebra

    Cycle 2

    Algebra the basics
    Setting up, rearranging and solving equations
    Factorising complex quadratics
    Sequences

    Cycle 3

    Averages and range
    Representing and interpreting data
    Fractions
    Percentages

    Year 9

    Cycle 1

    Ratio and proportion
    Polygons, angles and parallel lines
    Pythagoras’ Theorem and trigonometry
    Linear graphs and coordinate geometry

     

    Cycle 2

    Graphs: Real-life graphs
    Quadratic, cubic and other graphs
    Perimeter, area and circles
    3D form and volume, cylinders, cones and spheres

     

    Cycle 3

    Accuracy and bounds
    Y9 MOCKS
    Transformations
    Solving quadratics and simultaneous equations
    Iteration

    Year 10

    Cycle 1

    Inequalities
    Probability
    Multiplicative reasoning
    Similarity and congruence in 2D and 3D
    Graphs of trigonometric functions

     

    Cycle 2

    Further trigonometry
    Collecting data
    Cumulative frequency, box plots and histograms
    Quadratics, expanding more than two brackets, sketching graphs (circles, cubes and quadratics)

     

    Cycle 3

    Circle theorems
    Circle geometry
    Y10 MOCKS
    Changing the subject of formulae (more complex)
    Algebraic fractions
    Solving equations arising from algebraic fractions

    Year 11

    Cycle 1

    Vectors and geometric proof
    Introduction: How to successfully approach the GCSE mathematics examination
    Y11 MOCKS
    Constructions, Loci and Bearings
    Mock feedback

     

    Cycle 2

    Reciprocal and exponential graphs; Gradient and area under graphs
    Direct and inverse proportion
    Spring MOCKS
    Review of class areas for development

     

    Cycle 3

    Past papers with teaching of areas for development informed by MOCKS/Past papers

    Lower Years Assessment Framework

    To view the Lower Years Assessment Framework for Mathematics, please click here

    Middle Years Exam and Specification Information

    All students follow the new Edexcel GCSE (Higher) mathematics course. Whilst we do set by ability, all students follow the same scheme of work and sit the same assessments. All students have the opportunity to achieve the highest grades.

    Details can be found here:

    Full details of the specification and assessment criteria can be found on the Edexcel website GCSE Mathematics Specification

    Extra-curricular activities

    200 students every year take part in the junior, intermediate and senior mathematics challenges.

    The department run a mathematics club on a lunchtime. Students from this group are selected for the Mathematics Challenge team. The school have been regional junior champions on a number of occasions.

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