Maths The Maths Department aim to make learning maths fun, interesting and challenging. To ensure

pupils are appropriately challenged we set them according to ability and attainment. Pupils will

be tested within the first week or so of the Autumn Term to determine setting. These settings

are provisional and pupils may be moved between sets if it becomes clear that this will benefit

their learning. Pupils are expected to bring the following equipment to all lessons - a pen (blue

or black), a pencil, a ruler and a calculator. The National Curriculum requires all children to be

taught how to use a calculator effectively. A calculator is thus an essential for work in the

classroom and at home. Furthermore public examinations require the use of calculators. These

are not provided by the school.

We do therefore strongly recommend every pupil to buy a suitable calculator if they do not

already have one. The simplest and cheapest way to do this is to buy a scientific calculator from

the LRC once students arrive in September at a cost of approximately £5.00. We are cheaper

than retail outlets because we are able to sell them without charging VAT. Such a calculator will

last a pupil right through to Year 11 provided it is looked after. Make sure it is identified in some

permanent way as the school cannot be responsible for private property. Then bring it to every

lesson! The LRC also sells basic stationery equipment including compasses and protractors.

At the same time we do discourage over-dependence on calculators. We expect pupils to know

their basic number facts (addition and subtraction facts up to 20 and multiplication times up to

10 x 10), and as at primary school they are taught how to work things out using pencil and

paper where appropriate. This is also a requirement of the National Curriculum and pupils' ability

to perform pencil and paper calculations will be tested in GCSE.

In accordance with the School Policy for home study, we aim to set one written or learning

homework each week.

We wish every pupil a happy and successful Maths experience at Idsall.

MATHS AT KS3

The following is an outline of the topics covered throughout KS3. Groups will study the same

topics although the level will differ depending upon the group. Some topics in year 7 are

repeated in year 8 but to a higher level.

Year 7

Set 1

Autumn 1 Autumn 2

Collecting, Analysing and Displaying Data

Number Skills

Equations, Functions and Formulae

Fractions

Spring 1 Spring 2

Angles and Shapes

Decimals

Equations

Multiplicative Reasoning

Summer 1 Summer 2

Perimeter, Area and Volume

Sequences and Graphs

Revision

Problem Solving Tasks

Year 7

Set 2 & 3

Autumn 1 Autumn 2

Analysing and Displaying Data

Number Skills (1)

Equations, Functions and Formulae

Decimals and Measure

Spring 1 Spring 2

Fractions

Probability (1)

Ratio and Proportion

Lines and Angles (1)

Summer 1 Summer 2

Sequences and Graphs

Transformations

Revision

Problem Solving Tasks

Year 7

Set 4

Autumn 1 Autumn 2

Analysing and Displaying Data

Calculating

Equations, Functions and Formulae

Graphs

Spring 1 Spring 2

Factors and Multiples

Decimals and Measures

Angles and Lines

Measuring and Shapes

Summer 1 Summer 2

Fractions, Decimals and Percentages

Polygons and Transformations

Revision

Problem Solving Tasks

Year 8

Autumn 1 Autumn 2

1 Integers

2 Measures

3 Probability

4 Fractions, decimals and percentages

5 Expressions and formulae

6 Angles and 3-D shapes

7 Equations and graphs

Spring 1 Spring 2

8 Calculations

9 Transformations

10 Sequences and root

11 Collecting and representing data

12 Ratio and proportion

13 Algebra

Summer 1 Summer 2

14 Construction and 3-D shapes

15 Analysing and interpreting data

16 Calculation Plus

17 Functional maths

MATHS AT KEY STAGE 4

As with English, a good Mathematics qualification is a necessary for many jobs and for entry to

Higher Education courses.

All students study Mathematics until the end of Year 11 and the vast majority will sit public

examinations in the form of GCSE.

There will be two levels of entry for GCSE - Foundation and Higher and students will be following

a course which is targeted at one of these levels from the start of Year 9. The decision on which

course is most appropriate for each student is based on a number of factors, including

performance on Year 9 tests - hence thorough preparation for these tests is vital.

EXAM: GCSE (Edexcel) 100% Examination

Year 9

Foundation

Autumn

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

Spring

Pie charts

Scatter graphs

Fractions

Fractions, decimals and percentages

Percentages

Equations

Inequalities

Sequences

Summer

Properties of shapes, parallel lines and angle facts

Interior and exterior angles of polygons

Statistics and sampling

The averages

Perimeter and area

Year 9

Higher

Autumn

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

Spring

Scatter graphs

End-of-unit assessed task

Fractions

Percentages

Ratio and proportion

Polygons, angles and parallel lines

Pythagoras’ Theorem and trigonometry

Summer

Graphs: the basics and real-life graphs

Linear graphs and coordinate geometry

Quadratic, cubic and other graphs

Perimeter, area and circles

3D forms and volume, cylinders, cones and spheres

Accuracy and bounds

Transformations

Constructions, loci and bearings

Year 10

Foundation

Autumn 1 Autumn 2

3D forms and volume

Real-life graphs

Straight-line graphs

Transformations I: translations,

rotations and reflections

Transformations II: enlargements

and combinations

Ratio and Proportion

Spring 1 Spring 2

Right-angled triangles:

Pythagoras and trigonometry

Probability I

Probability II

Multiplicative reasoning

Summer 1 Summer 2

Plans and elevations

Constructions, loci and bearings

Quadratic equations: expanding

and factorising

Quadratic equations: graphs

Circles, cylinders, cones and

spheres

Year 10

Higher

Autumn 1 Autumn 2

Solving quadratic and

simultaneous equations

Inequalities

Probability

Multiplicative reasoning

Spring 1 Spring 2

Similarility and congruence in

2D and 3D

Graphs of trigonometric

functions

Further trigonometry

Collecting data

Cumulative frequency, box plots

and histograms

Summer 1 Summer 2

Quadratics, expanding more

than two brackets

sketching graphs of circles,

cubes and quadratics

Circle theorems

Circle geometry

Changing the subject of formulae

(more complex)

algebraic fractions, solving

equations arising from algebraic

fractions

rationalising surds

proof

Year 11

Foundation

Autumn 1 Autumn 2

Fractions and reciprocals

Indices and standard form

Similarity and congruence in 2D

Vectors

Rearranging equations

graphs of cubic and reciprocal

functions

simultaneous equations

Spring 1 Spring 2

Summer 1 Summer 2

Year 11 Higher

Autumn 1 Autumn 2

Vectors and geometric proof

Reciprocal and exponential graphs;

Gradient and area under graphs

Direct and inverse proportion

Spring 1 Spring 2

Summer 1 Summer 2

MATHS AT KEY STAGE 5

MATHS WITH MECHANICS

AS Level (Year 12)

Year 12

Autumn 1 Autumn 2

C1 Algebra.

C1 Indices and Surds.

C1 Coordinate geometry

C1 Polynomials

M1 – Velocity & Acceleration

M1 – Force & Motion

M1 – Vertical Motion

C1 Equations and graphs

C1 Quadratic functions

M1 – Resolving Forces

M1 – Friction

M1 – Motion Due to Gravity

Revision Revision

Exam Exam

Revision Revision

Exam Exam

Spring 1 Spring 2

C1 Differentiation – finding

the gradient of a curve.

M1 – Newton’s Third Law

M1 - Momentum

C2 Integration – finding the

area below a curve.

M1 – General Motion in a

Straight Line

M1 – Combining & Splitting

Forces

M1 – Forces in Equilibrium

Summer 1 Summer 2

REVISION AND PAST PAPER

PRACTICE

REVISION AND PAST PAPER

PRACTICE

A Level (Year 13)

Year 13

Autumn 1 Autumn 2

C3 Functions and graphs

C3 Exponential and

logarithmic functions

C3 Trigonometrical formulae

and identities

M2 – Projectiles

M2 – Work, Energy & Power

M2 – Potential Energy

C3 Differentiation of products

and quotients

C4 Partial Fractions

C4 Integration by parts

M2 – Moments

M2 – Centre of Mass

Spring 1 Spring 2

C4 Integration by substitution

Differentiation and integration

of exponential and logarithmic

functions

Numerical methods for solving

equations and finding the area

C4 Parametric and implicit

functions

C4 Binomial theorem

C4 Differential equations

under a curve

M2 – Rigid Objects in

Equilibrium

M2 – Impulse & Restitution

C4 Vectors

M2 – Motion Round a Circle

M2 – Centres of Mass of Special

Shapes

Summer 1 Summer 2

REVISION AND PAST PAPER

PRACTICE

REVISION AND PAST PAPER

PRACTICE

MATHS WITH STATISTICS

AS Level (Year 12)

Year 12

Autumn 1 Autumn 2

C1 Algebra.

C1 Indices and Surds.

C1 Coordinate geometry

C1 Polynomials

S1 Desciptive Statistics

S1 Histograms

S1 Cumulative frequency

curves and boxplots

C1 Equations and graphs

C1 Quadratic functions

S1 Permutations

S1 Combinations

S1 Probability

Spring 1. Spring 2

C1 Differentiation – finding

the gradient of a curve.

S1 Probability trees

S1 Binomial distribution

C2 Integration – finding the

area below a curve.

S1 Geometric distribution

S1 Expectation

S1 Mean & variance of

distributions

Summer 1 Summer 2.

C2 Trigonometry.

C2 Sequences and series

S1 Regression

S1 Correlation

C2 Remainder theorem and factor theorem.

Revision

S2 Probability density functions

S2 The Poisson Distribution

A2 Level (Year 13)

Year 13

Autumn 1 Autumn 2

C3 Functions and graphs.

C3 Exponential and

logarithmic functions

Trigonometrical formulae

and identities. .

S2 The Normal distribution.

Differentiation and

integration of exponential

and logarithmic functions.

Numerical methods for

solving equations and finding

the area under a curve

S2 Sampling

S2 Central Limit Theorem

Spring 1 Spring 2

C4 Binomial theorem.

C4 Parametric and implicit

functions.

S2 Hypothesis testing.

C4 Differential equations.

C4 Vectors.

S2 Statistical Errors

Summer 1 Summer 2

Revision and past papers

FURTHER MATHS

AS Level (Year 12)

Year 12

Autumn 1 Autumn 2

D1 Algorithms

FP1 – Simultaneous Equations

FP1 – Summation of series

D1 Graph theory

FP1 – Matrices (2x2)

FP1 – Transformation matrices

FP1 – Proof by Induction

Spring 1 Spring 2

D1 Networks

FP1 – Complex Numbers

FP1 – Roots of Polynomials

(Quadratic)

D1 Linear programming.

FP1 – Roots of Polynomials

(Cubic)

FP1 – Matrices (3x3)

Summer 1 Summer 2

Revision and past papers S3 Continuous random variables

Revision and past papers

A2 Level (Year 13)

All students will study FP2 plus one of either S3 or M3

Year 13

Autumn 1 Autumn 2

S3 χ2 tests

M3 – Elastic Strings and Springs

M3 - Impulse & Momentum in

Two Dimensions

FP2 – Partial fractions

FP2 – Hyperbolic functions

FP2 – Polar Graphs

S3 Linear combinations of

random variables.

M3 – Linear Motion with Variable

Forces

M3 - Systems of Rigid Objects

FP2 – Graphs of rational functions

FP2 – Series and Integrals

Spring 1 Spring 2

S3 Confidence intervals and the

t-distribution

M3 – Simple Harmonic Motion

M3 - Motion Round a Circle with

Variable Speed

FP2 – Iteration and solving

equations

FP2 – Advanced differentiation

and integration

S3 Difference of population

means and proportions.

M3 – Oscillations with Small

Amplitudes

FP2 – Maclaurin’s expansion

FP2 – Reduction formulae

FP2 – Area in polar co-ordinates

Summer 1 Summer 2

Revision and past papers Revision and past papers

For further advice or to find out more about the Maths curriculum at Idsall School, please

contact Mrs Farish