﻿ Maths Key Stage 4 - St Peter's Church of England Aided School Exeter, Devon, UK

01392 204764 | school@spexe.org

Students are taught in in two parallel populations throughout year 9, 10 and 11.  Students are set by ability and in year 9 and 10 the populations are split by 6 and 5 sets, whilst in year 11 the populations are split 6 and 7.  All students receive 4 hours of maths teaching per week

Students follow a GCSE Mathematics programme of study and sit GCSE papers using the EDEXCEL board.  2017 will be the first sitting of the new 9-1 GCSE programme of study, this consists of three papers all 1.5 hours in length and grades are awarded 9-1 no longer A*-G.

Pupils will be regularly assessed throughout year 9, 10 and 11 and movement between sets may occur as a result.  The majority of students will follow the higher course (grades awarded 9-4) and some students will follow the foundation (grades awarded 5-1).  It is intended that a 4 is the equivalent to a C in previous years.

Homework should be one piece a week and around 60 minutes on average, in addition it is expected that pupils will work independently revisiting topics using Mathswatch to support development.

### Year 9

During year 9 pupils will begin to be exposed to the rigours of GCSE study and build on the foundation developed in year 7 and 8.

Higher topics covered in year 9 include:

• Calculations, checking and rounding
• Indices, roots, reciprocals and hierarchy of operations
• Factors, multiples and primes
• Standard form and surds
• Algebra: the basics
• Setting up, rearranging and solving equations
• Sequences
• Averages and range
• Representing and interpreting data
• Scatter graphs
• Fractions
• Percentages
• Ratio and proportion
• Polygons, angles and parallel lines
• Pythagoras’ Theorem and trigonometry
• Graphs: the basics and real-life graphs
• Linear graphs and coordinate geometry
• Quadratic, cubic and other graphs

Foundation topics covered during year 9 include:

• Integers and place value
• Decimals
• Indices, powers and roots
• Factors, multiples and primes
• Algebra: the basics
• Expanding and factorising single brackets
• Expressions and substitution into formulae
• Tables
• Charts and graphs
• Pie charts
• Scatter graphs
• Fractions
• Fractions, decimals and percentages
• Percentages
• Equations
• Algebra: the basics
• Setting up, rearranging and solving equations
• Sequences
• Averages and range
• Representing and interpreting data
• Scatter graphs
• Fractions
• Percentages
• Ratio and proportion
• Polygons, angles and parallel lines
• Pythagoras’ Theorem and trigonometry
• Graphs: the basics and real-life graphs
• Linear graphs and coordinate geometry
• Quadratic, cubic and other graphsFoundation topics covered during year 9 include:
• Integers and place value
• Decimals
• Indices, powers and roots
• Factors, multiples and primes
• Algebra: the basics
• Expanding and factorising single brackets
• Expressions and substitution into formulae
• Tables
• Charts and graphs
• Pie charts
• Scatter graphs
• Fractions
• Fractions, decimals and percentages
• Percentages
• Equations
• Inequalities
• Sequences
• Properties of shapes, parallel lines and angle facts
• Interior and exterior angles of polygons

### Year 10

Higher Topics covered during year 10 include:

• Perimeter, area and circles
• 3D forms and volume, cylinders, cones and spheres
• Accuracy and bounds
• Transformations
• Constructions, loci and bearings
• Solving quadratic and simultaneous equations
• Inequalities
• Probability
• Multiplicative reasoning
• Similarity and congruence in 2D and 3D
• Graphs of trigonometric functions
• Further trigonometry
• Collecting data
• Cumulative frequency, box plots and histograms
• Quadratics, expanding more than two brackets, sketching graphs, graphs of circles, cubes and quadratics

Foundation topics covered during year 10 include:

• Statistics and sampling
• The averages
• Perimeter and area
• 3D forms and volume
• Real-life graphs
• Straight-line graphs
• Transformations I: translations, rotations and reflections
• Transformations II: enlargements and combinations
• Ratio
• Proportion
• Right-angled triangles: Pythagoras and trigonometry
• Probability I
• Probability II
• Multiplicative reasoning
• Plans and elevations
• Constructions, loci and bearings
• Quadratic equations: expanding and factorising

### Year 11

Year 11 is spent building towards the summer examinations and it is intentional that the content for the GCSE will be completed towards the end of term 1 and Year 11 PRELIM exams.

Time spent after this is used to specifically target those areas which students need support in achieving their personal best.

Higher topics covered during year 11 include:

• Circle theorems
• Circle geometry
• Changing the subject of formulae (more complex), algebraic fractions, solving equations arising from algebraic fractions, rationalising surds, proof
• Vectors and geometric proof
• Reciprocal and exponential graphs; Gradient and area under graphs
• Direct and inverse proportion

Foundation topics covered during year 11 include:

• Circles, cylinders, cones and spheres
• Fractions and reciprocals
• Indices and standard form
• Similarity and congruence in 2D
• Vectors
• Rearranging equations, graphs of cubic and reciprocal functions and simultaneous equations

All pupils in years 9, 10 and 11 have access to resources which will support their development and progress such as online GCSE textbooks and Mathswatch.