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    Mathematics

    Why study mathematics?

    Mathematics is the universal language that is used to describe the world around us and is an essential skill that is required to fully understand many aspects of life. Through a rich curriculum focussing on teaching key concepts we intend to develop students as problem-solvers whom are equipped with the skills that they will require to flourish in day-to-day life and able to think logically and critically.

    To achieve this the curriculum aims to develop students’ skills and understanding in terms of mathematical literacy and fluency, reasoning and problem-solving, explaining mathematics as a series of interconnected concepts and ideas, as well as highlighting the links with other areas of the school curriculum and life outside the school.

    By delivering a rich curriculum that based around a deep conceptual understanding we will also engender a fascination with the subject and promote further study of mathematics beyond the KS4 curriculum.

    KS3 Mathematics

     
    Learning Cycle 1
    Learning Cycle 2
    Learning Cycle 3

    Year 7

    Algebraic Thinking

    • Sequences
    • Understanding and using algebraic notation
    • Equality and equivalence

    Place Value and Proportion

    • Place value and ordering integers and decimals
    • Fraction, decimal and percentage equivalence

    Applications of Number

    • Solving problems with addition and subtraction
    • Solving problems with multiplication and division
    • Fractions and percentages of amounts

    Directed Number

    • Four operations with directed number

    Fractional Thinking

    • Addition and subtraction of fractions

    Lines and Angles

    • Constructing, measuring and using geometric notation
    • Developing geometric reasoning

    Reasoning with Number

    • Developing number sense
    • Sets and probability
    • Prime numbers and proof

    Year 8

    Proportional Reasoning

    • Ratio and scale
    • Multiplicative change
    • Multiplying and dividing fractions

    Representations

      • Working in the Cartesian plane
      • Representing data
    • Tables and probability

    Algebraic Techniques

    • Brackets, equations and inequalities
    • Sequences
    • Indices

    Developing Number

      • Fractions and percentages
      • Standard index form
    • Number sense

    Developing Geometry

    • Angles in parallel lines and polygons
    • Area of trapezia and circles
    • Line symmetry and reflection 

    Reasoning with Data

      • The data handling cycle
    • Measures of location

    Year 9

    Reasoning with Algebra

    • Straight line graphs
    • Forming and solving equations
    • Testing conjectures

    Constructing in 2 and 3 Dimensions

    • Three-dimensional shapes
    • Constructions and congruency

    Reasoning with Number

    • Numbers
    • Using percentages
    • Maths and money
       

    Reasoning with Geometry

    • Deduction
    • Rotation and translation
    • Pythagoras’ Theorem

    Reasoning with Proportion

    • Enlargement and similarity
    • Solving ratio and proportion problems
    • Rates

    Representations

    • Probability
    • Algebraic representation

    KS4 Mathematics

    Edexcel GCSE Mathematics (9-1) – 1MA1

    https://qualifications.pearson.com/content/dam/pdf/GCSE/mathematics/2015/specification-and-sample-assesment/gcse-maths-2015-specification.pdf

     
    Learning Cycle 1
    Learning Cycle 2
    Learning Cycle 3

    Year 10

    Using tables and diagrams

    Using prime factors

    Multiples in context

    Best Value

    Exchange Rates

    Rounding, error intervals and estimation

    Percentages, growth and decay and reverse percentage changes 

    Fractions, ratios and proportion

    Recurring fractions 

    Fractional/negative indices 

    Product rule 

    Upper & lower bounds 

    Surds including rationalising 

    Expanding & factorising 

    Rearranging equations 

    Sequences (including quadratics)

    Standard Index Form

    Index Laws

    Expanding and factorising expressions

    Solving equations

    Changing the subject of formulae

    Calculating and using averages

    Inequalities

    Frequency diagrams

    Scatter Graphs

    Time Series

    Linear, quadratic and cubic graphs

    Coordinate geometry

    Coordinate geometry 

    Surface area & volume - cylinders, cones, spheres & frustums

    Transformations

    Quadratics including the formula & iteration 

    Simultaneous equations

    Conditional probability 

    Direct and inverse proportion

    Compound measures

    Real life graphs

    Pythagoras’ Theorem and trigonometry 

    Bearings

    Angles in parallel lines

    Interior and exterior angles

    Sampling

    Pie charts

    Probability 

    Plans and elevations

    Constructions

    Similarity in 2D & 3D

    Graphs of trig functions 

    Further trigonometry 

    Sampling 

    Cumulative frequency & box plots

    Histograms

    Using graphs of circles, cubes and quadratics

    Gradient and area under graphs

    Year 11

    Circles 

    Arcs and Sectors

    Surface Area and Volume

    Congruence 

    Similar Shapes

    Transformations

    Vectors

    Sequences

    Forming and Solving Equations 

    Simultaneous Equations

    Direct and Inverse Proportion

    Circle geometry – gradients/tangents

    Circle theorems

    Algebraic fractions

    Functions 

    Algebraic Proof

    Congruence and geometric proof

    Vectors

    Topics covered in Learning Cycles 2 and 3 will be dependent upon the outcomes and analysis of performance in the mock exams.

    *Bold topics are for Higher Tier students