# 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.

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### Maths at Key Stage 3

##### Year 7 - Set 1* *

__Autumn 1__

Collecting, Analysing and Displaying Data

Number Skill

__Autumn 2__

Equations, Functions and Formulae

Fractions

__Spring 1__

Angles and Shapes

Decimals

__Spring 2__

Equations

Multiplicative Reasoning

__Summer 1__

Perimeter, Area and Volume

Sequences and Graphs

__Summer 2__

Problem Solving Tasks

##### Year 7 - Set 2 & 3* *

__Autumn 1__

Analysing and Displaying Data

Number Skills (1)

__Autumn 2__

Equations, Functions and Formulae

Decimals and Measure

__Spring 1__

Fractions

Probability (1)

__Spring 2__

Ratio Proportion

Lines and Angles (1)

__Summer 1__

Sequences and Graphs

Transformations

__Summer 2__

Revision

Problem Solving Tasks

##### Year 7 - Set 4* *

__Autumn 1__

Analysing and Displaying Data

Calculating

__Autumn 2__

Equations, Functions and Formulae

Graphs

__Spring 1__

Factors and Multiples

Decimals and Measures

__Spring 2__

Angles and Lines

Measuring and Shapes

__Summer 1__

Fractions, Decimals and Percentages

Polygons and Transformations

__Summer 2__

Revision

Problem Solving Tasks

##### Year 8* *

__Autumn 1__

1 Integers

2 Measures

3 Probability

4 Fractions, decimals and percentages

__Autumn 2__

5 Expressions and formulae

6 Angles and 3-D shapes

7 Equations and graphs

__Spring 1__

8 Calculations

9 Transformations

10 Sequences and root

__Spring 2__

11 Collecting and representing data

12 Ratio and proportion

13 Algebra

__Summer 1__

14 Construction and 3-D shapes

15 Analysing and interpreting data

__Summer 2__

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

The following is an outline of the topics covered per term.

##### 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 1__

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 1__

Scatter graphs

End-of-unit assessed task

Fractions

Percentages

Ratio and proportion

Polygons, angles and parallel lines

Pythagoras’ Theorem and trigonometry

__Summer 1__

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__

3D forms and volume

Real-life graphs

Straight-line graphs

__Autumn 2__

Transformations I: translations, rotations and reflections

Transformations II: enlargements and combinations

Ratio and Proportion

__Spring 1__

Right-angled triangles: Pythagoras and trigonometry

Probability I

__Spring 2__

Probability II

Multiplicative reasoning

__Summer 1__

Plans and elevations

Constructions, loci and bearings

Quadratic equations: expanding and factorising

__Summer 2__

Quadratic equations: graphs

Circles, cylinders, cones and spheres

##### Year 10 - Higher* *

__Autumn 1__

Solving quadratic and simultaneous equations

Inequalities

__Autumn 2__

Probability

Multiplicative reasoning

__Spring 1__

Similarility and congruence in 2D and 3D

Graphs of trigonometric functions

__Spring 2__

Further trigonometry

Collecting data

Cumulative frequency, box plots and histograms

__Summer 1__

Quadratics, expanding more than two brackets

sketching graphs of circles, cubes and quadratics

Circle theorems

Circle geometry

__Summer 2__

Changing the subject of formulae (more complex)

algebraic fractions, solving equations arising from algebraic fractions

rationalising surds

proof

##### Year 11 - Foundation* *

__Autumn 1__

Fractions and reciprocals

Indices and standard form

Similarity and congruence in 2D

__Autumn 2__

Vectors

Rearranging equations

graphs of cubic and reciprocal functions

simultaneous equations

__Spring 1__

Revision

__Spring 2__

Revision

__Summer 1__

Exam

__Summer 2__

Exam

##### Year 11 - Higher* *

__Autumn 1__

Vectors and geometric proof

Reciprocal and exponential graphs

__Autumn 2__

Gradient and area under graphs

Direct and inverse proportion

__Spring 1__

Revision

__Spring 2__

Revision

__Summer 1__

Exam

__Summer 2__

Exam

### Mathematics at Key Stage 5

This new A Level qualification builds on the skills, knowledge and understanding set out in the new GCSE (9-1) subject content for mathematics for 2015. The content is separated into three areas: Pure Mathematics, Statistics and Mechanics with all elements being

assessed through a written examination. All pupils must study all three topic areas.

**AS Level (Year 12)**

Manipulation of Indices and Surds. Advanced algebraic techniques. Exploration of graphical representation with links to coordinate geometry and transformations. Binomial expansion. Introduction to Calculus. Advanced Trigonometry and an introduction to trig

identities. Exponentials and Logarithms. Vectors. Representation of data – statistical measures and diagrams. Outliers. Probability of mutually exclusive and independent events. The Binomial distribution and hypothesis testing. SI units. Constant and non-uniform acceleration. Newton’s Laws. Weight and Frictional forces.

**A2 Level (Year 13)**

Extension of algebraic and numerical techniques including fractions & parametric equations. Iterative methods. Functions and graphs involving exponentials and logs. Sequences and sigma notation. Proof by contradiction. Further trigonometry. Further Calculus. Extension of the Binomial theorem. Differential equations. Set notation. Extension

of the Binomial Distribution. The Normal distribution leading to Central Limit Theorem. Correlation and hypothesis testing. Extension of work on acceleration, frictional forces and Newton’s Laws. Gravity. Application of vectors in a plane. Statics.

### Further Mathematics at Key Stage 5

This new A Level qualification builds on the skills, knowledge and understanding set out in the new GCSE (9-1) subject content for mathematics for 2015. The content is separated into three areas: Pure Mathematics, Statistics and Mechanics with all elements being

assessed through a written examination. All pupils must study all three topic areas. Further Maths cannot be studied in its own right and must be taken in conjunction with the single A Level Maths course. (Resulting in 2 maths qualifications).

Pure Maths learners will extend and deepen their knowledge of proof, algebra, functions, calculus, vectors and differential equations studied in A Level Mathematics. They will also broaden their knowledge into other areas of pure mathematics that underpin the further study of mathematics and other numerate subjects with complex numbers, matrices, polar coordinates and hyperbolic functions. In Statistics learners will explore the theory which underlies the statistics content in A Level Mathematics, as well as extending their tool box of statistical concepts and techniques. This area covers combinatorics, probability distributions for discrete and continuous random variables, hypothesis tests and confidence intervals for a population mean, chi-squared tests, non-parametric tests, correlation and regression. In Mechanics learners extend their knowledge of particles, kinematics and forces from A Level Mathematics, using their extended pure mathematical knowledge to explore more complex physical systems. The area covers dimensional analysis, work, energy, power, impulse, momentum, centres of mass, circular motion and variable force.

##### Year 12 & 13* *

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**For further advice or to find out more about the Maths curriculum at Idsall School, please contact Mrs Farish.**