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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