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Mathematics

 

KEY STAGE 3 MATHEMATICS

The National Curriculum for mathematics aims to ensure that all pupils:

 

Become fluent in the fundamentals of mathematics, including through varied and frequent practice with increasingly complex problems over time, so that pupils have conceptual understanding and are able to recall and apply their knowledge rapidly and accurately to problems

 

Reason mathematically by following a line of enquiry, conjecturing relationships and generalisations, and developing an argument, justification or proof using mathematical language

 

Can solve problems by applying their mathematics to a variety of routine and non-routine problems with increasing sophistication, including breaking down problems into a series of simpler steps and persevering in seeking solutions

Term

Year 7

Year 8

Year 9

Autumn

Transition unit from Y6

Using a calculator

Sequences

Perimeter and area

Averages and range

Fractions

Fractions, decimals, percentages

Angles

Rules of algebra

Coordinates

Sequences

Fractions

Properties of numbers

Negative numbers

Area and Perimeter

Rounding off and estimating

Using Algebra

Fractions, decimals, percentages

Geometrical Reasoning

Construction and Locus

Circles

Written Calculations

Using a calculator

Written Calculations and Numeracy

Using Algebra

Geometrical Reasoning

Fractions

Scatter Graphs

Index Laws

Using Calculators and BIDMAS

Circumference and Area of Circles

Constructions

Solving Equations

Estimating

Functional Maths

Straight Line Graphs

Spring

Decimals 1

Multiplying and dividing with decimals

Properties of numbers

Straight line graphs

Handling data

Probability 1

Applying mathematics in a range of contexts

Constructing triangles

Two dimensional shapes

Percentages

Formulas and expressions

Drawing graphs

Reflection

Describing data

Rotation and combined transformations

Interpreting and sketching real-life graphs

Brackets and equations

Fractions review

Handling data

Ratio and proportion

Area

Transformations

Reading Graphs and Pie Charts

Drawing 3-D Shapes

Volume

Percentages Equations Practice

Sequences

Averages

Ratio

Loci

Functional Maths

Pythagoras' Theorem

Summer

Proportion and ratio

Negative numbers

More algebra

Rotation

Line symmetry

Translation Probability 2

Interpreting graphs

Rounding numbers

More equations

Sequence rules

Metric and imperial units

Angles and constructions

Three dimensional objects

 

Negative numbers review

Sequences – the nth term

Enlargement

Congruent shapes, tessellation

Drawing graphs review

Area review

Percentages

Review/test

Probability

Measures

3–D Objects

Bearings and scale drawing

Decimals review

Volume

Number Review

Probability

Different Types of Graphs

Speed/Distance/Time & Mass/Density/Volume

Algebra Review

Upper and Lower Bounds

Shape and Space Review

Simultaneous Equations

Collecting and Interpreting Data

Inequalities

Functional Maths

 

 

KEY STAGE 4 MATHEMATICS

Edexcel GCSE in Mathematics A – Linear (1MA0)

 

All pupils follow Edexcel GCSE in Mathematics A – Linear (1MA0).

 

Overview of assessment

Two written papers: each contributes 50% of the final grade

Tiered papers

Foundation Tier grades C-G available

Higher Tier grades A*-D available (E allowed)

1 hour 45 minutes (Foundation papers)

1 hour 45 minutes (Higher papers)

 

Key subject aims

This qualification in Mathematics encourages students to develop confidence in, and a positive attitude towards, mathematics and to recognise the importance of mathematics in their own lives and to society. This qualification prepares students to make informed decisions about the use of technology, the management of money, further learning opportunities and career choices.

 

Knowledge and understanding

This Edexcel GCSE in Mathematics A qualification requires students to:

Develop knowledge, skills and understanding of mathematical

methods and concepts, including:

  • Number
  • Algebra
  • Geometry
  • Measures
  • Statistics
  • Probability
  • Use their knowledge and understanding to make connections between mathematical concepts
  • Apply the functional elements of mathematics in everyday and real-life situations

 

Skills

This Edexcel GCSE in Mathematics A gives students the opportunity to develop the ability to:

acquire and use problem-solving strategies select and apply mathematical techniques and methods in mathematical, every day and real-world situations reason mathematically, make deductions and inferences and draw conclusions, interpret and communicate mathematical information in a variety of forms appropriate to the information and context.

 

 

The content of GCSE Mathematics Specification A

The content of the GCSE Mathematics specifications has been grouped into the topic areas of Number, Algebra, Geometry, Measures, Statistics and Probability. Don’t worry if you don’t know what all of these mean yet – you will know at the end of your two years of study. Topics in bold are Higher tier only

 

Number

 

Algebra

 

Geometry and Measures

 

Statistics and Probability

 

Four operations

Decimals

Percentages

Fractions

Equivalent fractions Accuracy

Use of calculators

Factors and multiples

Cubes, roots and squares

Index laws

Standard form

Surds

Inverse operations

Recurring decimals

Ratio

Using percentage and repeated percentage change

Compound interest

Reciprocals

Upper and lower bounds

 

 

Notation

Graphs

Graphs of functions

Expressions

Factorising

Formulae

Rational expressions

Sequences

Coordinates in 2-D and 3-D

Straight line graphs

Gradients of lines

Graphs of loci

Real life graphs

Equations

Quadratic equations

Changing the subject of the formula

Inequalities

Trial and improvement

Simultaneous equations

Graphs of functions

Graphs of loci

Quadratic graphs

Direct and indirect proportion

Transformation of functions

Angles at a point

Scales and units

Angles and triangles

Quadrilaterals

Symmetry

Polygons

Parts of a circle

Perimeter and area

Circle theorems

3-D shapes

Volume

Scales and measures Compound measures

Congruence

Pythagoras’ Theorem

Trigonometry

Circle Theorems

Transformations

Constructions

Loci

Mensuration

Vectors

Bearings

Scale drawings

 

Handling data cycle

Data collection

Data representation

Analysing data

Interpreting data

Sampling

Box plots, histograms and cumulative frequency

Addition and multiplication of probabilities

Probability measures

Relative probability

Mutually exclusive outcomes

Mutually exclusive and independent events

Tree diagrams

 

 

 

KEY STAGE 5 MATHEMATICS

The Mathematics department aims to thoroughly prepare students wishing to continue into higher education.  Advanced Subsidiary (AS) and Advanced GCE Mathematics are prerequisites for an enormous variety of courses and careers.  We believe students should have an appreciation of both the pure nature of mathematics as well as its application in 'real' situations.

The syllabus we offer will equip you well for whichever path you choose to take in either higher education or a career after sixth form.  In addition to the traditional methods of pure mathematics, you will study the three main applied fields, namely, Probability, Statistics and Mechanics.

If you have an aptitude for Mathematics, we are confident that the AS and Advanced GCE courses will provide you with intellectual stimulation and fulfilment, whilst enabling you to acquire the necessary knowledge and skills you will require.

The following are the primary curriculum aims of the AS and Advanced GCE courses on offer.

      To encourage students to:

(a)          develop their understanding of mathematics and mathematical processes in a way that promotes confidence and fosters enjoyment

(b)          develop abilities to reason logically and recognise incorrect reasoning, to generalise and to construct mathematical proofs

(c)           extend their range of mathematical skills and techniques and use them in more difficult, unstructured problems

(d)          develop an understanding of coherence and progression in mathematics and of how different areas of mathematics can be connected

(e)          recognise how a situation may be represented mathematically and understand the relationship between ‘real-world’ problems and standard and other mathematical models and how these can be refined and improved

(f)            use mathematics as an effective means of communication

(g)          read and comprehend mathematical arguments and articles concerning applications of mathematics

(h)          acquire the skills needed to use technology such as calculators and computers effectively, recognise when such use may be inappropriate and be aware of limitations

(i)            develop an awareness of the relevance of mathematics to other fields of study, to the world of work and to society in general

(j)            Take increasing responsibility for their own learning and the evaluation of their own mathematical development.

 

In year 12 students study AS Mathematics

Course: Edexcel: 8371 Advanced Subsidiary Mathematics

Core Mathematics units C1 and C2 plus one of the Applications units M1, S1 or D1.

 

In year 13 students study A2 Mathematics

Course: Edexcel: 9371 Advanced GCE Mathematics

Core Mathematics units C1, C2, C3 and C4 plus two Applications units M1, S1 and D1

Unit

Unit Summary of unit content

 

C1

Algebra and functions; coordinate geometry in the (x, y) plane; sequences and series; differentiation; integration

C2

Algebra and functions; coordinate geometry in the (x, y) plane; sequences and series; trigonometry; exponentials and logarithms; differentiation; integration.

C3

Algebra and functions; trigonometry; exponentials and logarithms; differentiation; numerical methods.

C4

Algebra and functions; coordinate geometry in the (x, y) plane; sequences and series; differentiation; integration; vectors.

M1

Mathematical models in mechanics; vectors in mechanics; kinematics of a particle moving in a straight line; dynamics of a particle moving in a straight line or plane; statics of a particle; moments.

S1

Mathematical models in probability and statistics; representation and summary of data; probability; correlation and regression; discrete random variables; discrete distributions; the Normal distribution

D1

Algorithms; algorithms on graphs; the route inspection problem; critical path analysis; linear programming; matchings