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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.

Key Stage 3 Curriculum Overview

 

 

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

Number

  • Using tables and diagrams
  • Multiples and factors
  • Rounding and estimation

Ratio and Proportion

  • Fractions and percentages
  • Using ratio and proportion

Algebra

  • Algebraic manipulation

Solving equations

Ratio and Proportion

  • Fractions and percentages
  • Using ratio and proportion

Algebra

  • Algebraic manipulation
  • Solving equations
  • Linear, quadratic and cubic functions
  • Coordinate geometry

Statistics and Probability

  • Calculating and using averages
  • Representing data

Geometry

  • Compound measures
  • Pythagoras and trigonometry
  • Bearings

Statistics and Probability

  • Calculating and using averages
  • Representing data

Algebra

    • Linear, quadratic and cubic functions
    • Coordinate geometry
  • Forming and solving equations
  • Simultaneous equations

Geometry

    • Angle reasoning
  • Plans and elevations and constructions
  • Circles, arcs and sectors
  • Surface area and volume
  • Congruence and similarity
  • Transformations
  • Vectors

Ratio and Proportion

Direct and inverse proportion

 

*Year 9 bold topics are for higher students.

Key Stage 4 course

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



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