Maths
The Maths Department is a fantastic place to work and study: the staff are a group of hardworking and committed teachers who all have, at the very heart of their practice and approach, a belief in valuing each student and giving them the very best educational opportunities that the school can offer.
As a department, we are proud of the results achieved in recent years and bear out the reality that the Maths Department is constantly striving to build on the successes and improve.
Department Structure and Exam Results
Staff 
9 full time specialists 2 parttime specialists 2 parttime intervention specialists 
Structure 
Head of Mathematics Head of KS3 Mathematics KS5 Coordinator Numeracy across the curriculum coordinator 
Examination courses for KS4 
GCSE Mathematics (AQA) 
Examination courses for KS5 
A Level (AQA) 
GCSE examination results 
2015 53.7% (A*  C) 11.5% (A* A) 2016 62.7% (A*  C) 16.9% (A*  A) 2017 69.0% (9 – 4) 49.8% (9 – 5) 10.9% (9 – 7) 
A Level examination results 
2015 100% (A – E) 71.4% (A – C) 42.9% (A – B) 2016 100% (A – E) 58.3% (A – C) 41.7% (A – B) 2017 100% (A – E) 76.9% (A – C) 46.2% (A – B) 
Timetable structure 
Year 7 – 6 lessons per fortnight Year 8 – 6 lessons per fortnight Year 9 – 8 lessons per fortnight Year 10  8 lessons per fortnight Year 11  8 lessons per fortnight KS5 – 10 lessons per fortnight 
Intervention 
We have an extensive suite of intervention programmes that we use to support vulnerable cohorts of Year 11. These include maths based tutor groups, out of school hours sessions and a revision residential. 
CURRICULUM PLAN
KEY STAGE 
YEAR 
AUTUMN 1 
AUTUMN 2 
SPRING 1 
SPRING 2 
SUMMER 1 
SUMMER 2 
KEY STAGE 3 
7 
Place Value Positive and negative numbers Degrees of accuracy Arithmetic progressions Properties of numbers Four operations with decimals Order of operations Estimation Algebraic notation Manipulating algebraic expressions.

Properties of shape Special quadrilaterals Area and Perimeter of 2D shapes Area and perimeter of circles and sectors Volume of cuboids.

Ordering decimals, fractions, positive and negative numbers Express one quantity as a fraction of another Percentages of amounts Percentage change Apply four operations to mixed and improper fractions Frequency of outcomes Theoretical probabilities.

Solve linear equations with one unknown Use and apply inequality notation Construct and interpret charts, tables and diagrams Interpret and compare distribution of data sets.

Measure line segments and angles Draw diagrams from written descriptions Properties of a circle Work with coordinates in all four quadrants Solve geometric problems on axes Understand and use lines parallel and perpendicular to axes Understand and use ratio notation Divide an amount into a given ratio. 
Identify and construct congruent shapes by considering rotation, reflection and translation Describe translations in 2D vectors Use, understand and convert units of measure Convert between miles and kilometres. 
8 
Interpret, use and complete calculations in Standard Form Round numbers and measures. Generate terms of a sequence Calculate the general rule of a sequence. Use the concepts and vocabulary of primes, factors, multiples, HCF, LCM and use unique factorisation theorem Calculate with positive integer indices. Apply the four operations with integers and decimals Apply the correct order of operation, including reciprocals Substitute into scientific formulae Rearrange formulae Interpret algebraic notation, including fractions. 
Simplify and manipulate algebraic expressions. Understand and use inequalities and factors. Recognise and find missing angles on parallel lines. Find missing angles in polygons, using properties of shape and angle sum of a triangle. Calculate perimeters of shapes, including circles. Calculate areas of shapes, including compound and circles Calculate volume of prisms, including cylinders. 
Work with percentages greater than 100%. Percentage change, original value problems and simple interest. Terminating decimals and their corresponding fractions. Apply the four operations to fractions, mixed numbers and improper fractions. Know that an exhaustive set of outcomes and mutually exclusive outcomes sum to 1. Enumerate sets systematically using tables and Venn diagrams. Construct and use sample space diagrams.

Solve linear equations with the unknown on both sides. Use and interpret scatter diagrams. Use appropriate graphical representation to interpret, analyse and compare data distributions. Calculate averages and measures of spread.

Interpret maps, scale drawings & use bearings. Construction of perpendicular & angle bisectors. Solve loci problems. Interpret plans & elevations of 3D shapes. Plot graphs linear equations. Find approximate solutions to linear equations graphically. Identify & interpret intercepts & gradients. Recognise & sketch graphs of linear & quadratic functions. Apply ratio to real life problems. Express a relationship between two quantities as a fraction and ratio. Relate ratio to fractions and linear functions. Identify & work with fractions in ratio format. 
Identify and construct similar shapes, on axes and considering enlargement. Use and change freely between compound units. Plot and interpret real life graphs, including speed and acceleration.


KEY STAGE 4 
9

Support Place Value Rounding to powers of 10 Ordering integers and decimals Negative numbers Four operations Angles at a point, on a line and in triangles and quadrilaterals. Properties of 2D and 3D shapes. 
Support Primes, factors, multiples. Simple powers and roots. Collecting like terms, expanding single brackets, Factorising into single brackets. Simplifying. Equivalent fractions Proper fraction arithmetic Converting between FDP Ordering FDP Terminating decimals Percentages of amounts. 
Support Continuing sequences Generting sequences Generating rules of sequences Solving linear equations 
Support Perimeter including circumference. Area of quadrilaterals and circles. Surface area of cuboids. Simplifying ratio Dividing in a given ratio Proportion Scale factors Similar shapes Standard units Converting between units Speed 
Support Coordinates Horizontal and vertical graphs Linear graph plotting Real life graphs Travel graphs Measuring and drawing lines and angles. Bearings Simple constructions and scale drawings Transformations 
Support Simple probability Construct and interpret tables, charts and diagrams. Averages from lists and tables 
Core Place Value Rounding to powers of 10 and significant figures. Four operations Order of operations Powers and roots Types of numbers Properties of shape Basic angle facts Angles on parallel lines Angles in polygons

Core Algebraic notation Algebraic manipulation Laws of indices Writing and rearranging simple inequalities Fraction arithmetic. Mixed and improper fractions Terminating decimals. Percentages and fractions of amounts Converting between FDP 
Core Generate sequences General rule of a sequence. Using and rearranging scientific formulae and expressions. Solving linear equations. 
Core Perimeter including circumference. Area of quadrilaterals and circles. Volume of prisms including cylinders. Ratio: simplifying, dividing and problem solving. Scale factors. Similarity. Direct and inverse problems. Standard Units Converting between units. Converting between units. 
Core Coordinates Horizontal and vertical graphs Straight line graphs Simple gradient and intercept Solving equations graphically. Real life graphs. Bearings Constructions Transformations Congruence 
Core Calculating simple probabilities Construct and interpret tables, charts and diagrams. Scatter graphs Central tendency and spread. 

Extension Rounding and truncation Limits of accuracy. Calculating with roots and integer indices Standard Form Calculating with pi Terminating decimals Circle properties Constructions Loci Plans and elevations

Extension Expanding and factorising double brackets. Proving equivalence. Identities. Writing expressions and formulae. Percentage change Original amounts Direct and inverse proportion Compound measures Similarity and congruence. 
Extension Linear and quadratic sequences. Linear Equations Linear Inequalities Rearranging and substituting into formulae.

Extension Pythagoras Angle facts and geometric reasoning Sectors and Arcs Volume and surface area of prisms and cylinders

Extension Y=mx+c Parallel lines Equation from two points Quadratic graphs and roots Graphs of nonstandard functions. Kinematics Simultaneous Equations Quadratic equations Graphical solutions for equations.

Extension Construct and interpret graphs Line of best fit. Correlations. 

10 
Foundation Basic numeracy skills recap Angles Scale diagrams and bearings Factors and multiples Basic Algebra Fractions 
Foundation Coordinates and Linear graphs Basic Decimals Rounding Collecting and representing data Sequences Percentages 
Foundation Perimeter & area including circles Real life graphs Ratio & Proportion 
Foundation Ratio & proportion Properties of Polygons Equations Indices Standard Form

Foundation Basic Probability Transformations Congruence and Similarity 2D representations of 3D shapes Calculating with percentages 
Foundation Measures Statistical Measures Constructions & loci Probability


Higher Basic numeracy skills recap Angles Scale diagrams and bearings Factors and multiples Basic Algebra Fractions 
Higher Coordinates and Linear graphs Basic Decimals Rounding Collecting and representing data Sequences Percentages 
Higher Perimeter & area including circles Real life graphs Ratio & Proportion Properties of Polygons 
Higher Equations Indices & Surds Basic probability Standard Form 
Higher Measures Transformations Congruence and Similarity 2D representations of 3D shapes Calculating with percentage 
Higher Statistical Measures Constructions &loci Volume Scatter Graphs Numerical methods 

11 
Foundation Basic numeracy skills recap Volume Algebra: quadratics, rearranging formulae Scatter graphs Inequalities 
Foundation Pythagoras' theorem Simultaneous equations Algebra and graphs Sketching graphs 
Foundation Direct and inverse proportion Trigonometry 
Foundation Solving quadratic equations Quadratic graphs Growth and decay Vectors 
Foundation Revision and Exams 
Foundation Revision and Exams


Higher Basic numeracy skills recap Probability Algebra: quadratics, rearranging formulae and identities Further equations and graphs

Higher Equations of a circle Simultaneous equations Sketching graphs Direct and inverse proportion Pythagoras' theorem Basic trigonometry 
Higher Inequalities Growth and decay Vectors Transforming functions Sin and Cosine rule 
Higher Circle theorems Gradients and rate of change Precalculus and area under a curve Algebraic fractions 
Higher Revision and exams 
Higher Revision and exams


KEY STAGE 5 
12 
Surds and indices Quadratics Polynomials Graphs 
Coordinate Geometry Logs Data Differentiation Exponentials Binomial Expansion Kinematics 
Differentiation Integration Trigonometry Probability Hypothesis Testing 
Constant Accel Any Angle Trig Force and Motion Contact Proof Vectors 
Review of material 
Mocks 
13 
C3 Functions C3 Differentiation C3 Trigonometry C3 Exponentials and Logs S1 Representing Data S1 Probability 
C3 Integration C3 Numerical methods S1 Discrete Random Variables S1 Continuous Random Variables 
C4 Algebra and Functions C4 Binomial Series C4 Compound Angles C4 Exp Models S1 Estimation 
C4 Further Calculus C4 Vectors S1 Correlation and Regression 
Review of material Past paper practice 
Exams 
Enrichment
In addition to the teaching of Math’s, the department also extends the most able students in mathematics by taking part in the UKMT Maths Challenge. This promotes mathematical thinking, processing and logical skills. In addition the Maths department organises trips to places with a mathematical history such as Bletchley Park.
How to Support Your Child
Ensure students complete past examination papers.
Ensure key terms to be revised.
Ensure key formulae are memorized
Encourage the use of GCSEpod and SAM Learning
Encourage the use of the Mymaths website.
Encourage the use of other Maths websites.
Ensure homework tasks are completed regularly and on time.
In addition to the above, it is essential that students attend every lesson with a geometry set and a scientific calculator. We recommend the CASIO fx85GT, or equivalent, as these are the most commonly used calculators. This type of calculator carries out the basic functions required at primary school and the functions required for secondary school:
 Key Stage 3  Fractions, Brackets and Powers
 Key Stage 4  Trigonometry, (Sin, Cos and Tan), Roots and Statistics functions, (Mean, Standard Deviation and Variance)
 Key Stage 5 – The new recommended calculator to go alongside the new course is Casio fx991EX
Prospect School is not affiliated in any way with CASIO.
The mathematics department at Prospect supply calculators to students at cost price and no profit is made.