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Maths

The Maths Department is a fantastic place to work and study: the staff are a group of hard-working 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 part-time specialists

2 part-time intervention specialists

Structure

Head of Mathematics

Head of KS3 Mathematics

KS5 Co-ordinator

Numeracy across the curriculum co-ordinator

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 non-standard 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

Pre-calculus 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 fx-85GT, 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 fx-991EX

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.