# Mathematics

The Mathematics Department aims to develop, maintain and stimulate pupils’ curiosity, interest and enjoyment in Mathematics. We aim to teach in a meaningful context whilst providing opportunities for pupils to use their skills creatively through problem solving and investigation.

## SPECIFIC AIMS OF THE DEPARTMENT

## The Mathematics Department aims to:

- develop pupils to a suitable level of competence in a range of mathematical skills
- encourage pupils to develop personal qualities such as initiative, self-confidence and independence;
- develop pupils’ understanding of mathematics in its widest context and see how it relates to themselves outside school; and
- enable pupils to develop skills which are transferable to other subjects.

## OVERVIEW OF KEY STAGE 3 CURRICULUM

At Key Stage 3, Mathematics is delivered over seven lessons per fortnight to year eight's and six per fortnight to years nine and ten.. The course aims to equip pupils with appropriate mathematical skills in a wide range of application areas and to enable them to use ICT as an effective statistical analysis tool. Pupils will develop personal skills and capabilities throughout Key Stage 3 and, having completed a series of Using Mathematics tasks, will be given a Level of Progression at the end of Year 10.

## YEAR 8 CURRICULUM

In Year 8, pupils study the following topics:

• Number

• Co-ordinates and Symmetry

• Angles

• Letters and Numbers

• Measuring Length, Ares and Perimeters

• Fractions, Decimals and Percentages

• Volume and Nets

• Data Handling

• Graphs, Tables and Diagrams

• Time

## YEAR 9 CURRICULUM

In Year 9, pupils study the following topics:

• Algebra with Brackets

• Ratio and Proportion

• Quadrilaterals

• Scale Drawing, Construction and Bearings

• Sequences and Special Numbers

• Polygons

• Statistics

• Money Matters

• Inequalities

• Approximation

## YEAR 10 CURRICULUM

In Year 10, pupils study the following topics:

• Pythagoras Theorem and Trigonometry

• The Circle

• Brackets and Equations

• Money Matters

• Linear Functions

• Transformations

• Probability

• Making and Using Formulae

• Indices and Standard Form

• Compound Measures

• Statistics

During Year 10, pupils complete three Using Maths tasks and are awarded a Level of Progression.

## OVERVIEW OF KEY STAGE 4 CURRICULUM

At Key Stage 4, the Mathematics Department offers Mathematics and Further Mathematics at GCSE Level. Pupils follow the CCEA specification. Mathematics is delivered over eight lessons per fortnight.

## GCSE MATHEMATICS

The content of each GCSE Mathematics unit relates to:

- Number and Algebra;
- Geometry and Measures; and
- Statistics and Probability.

## Through each unit at Key Stage 4, pupils will:

- develop knowledge, skills and understanding of mathematical methods and concepts;
- acquire and use problem-solving strategies;
- select and apply mathematical techniques and methods in mathematical, everyday 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; and
- acquire a foundation appropriate to the further study of mathematics and other disciplines.

All pupils in Year 11 will complete at least one GCSE Higher Level Maths module at the end of Year 11 (either T3 or T4). All pupils will sit the completion paper T6 at the end of Year 12.

## Unit 1: T3 (Higher Test 3) OR T4 (Higher Test 4) (45%)

Pupils will study either T3 or T4 depending on their mathematical ability and their progress at the end of Key Stage 3.

This unit is assessed in the form of a written examination. Pupils will have 2 hours to complete the assessment for this unit.

Assessment of this unit will take place at the end of Year 11. Pupils’ work in this unit will be externally assessed. A calculator is permitted for this examination.

## Unit 2: T6 (Higher Completion Test 6) (55%)

This unit is assessed in the form of two written examinations – Paper 1 and Paper 2. Pupils will have 1 hour and 15 minutes to complete each examination. Assessment of this unit will take place at the end of Year 12. Pupils’ work in this unit will be externally assessed.

Pupils may not use a calculator for Paper 1. The use of a calculator is permitted for Paper 2.

## FURTHER MATHEMATICS

Pupils who study Further Mathematics will complete GCSE Mathematics module T4 and Further Mathematics module Unit 1 at the end of Year 11 and GCSE Mathematics module T6 and Further Mathematics module Unit 2 at the end of Year 12.

GCSE Further Mathematics takes the study of Mathematics beyond the content of GCSE Higher Tier. It introduces some of the mechanics and statistics topics that students encounter in GCE Mathematics and acts as a ‘stepping stone’ between GCSE and GCE.

## Unit 1: Pure Mathematics (50%)

This unit is assessed in the form of a written examination. Pupils will have 2 hours to complete the assessment for this unit.

Assessment of this unit will take place at the end of Year 11. Pupils’ work in this unit will be externally assessed.

## Unit 2: Mechanics and Statistics (50%)

This unit is assessed in the form of a written examination. Pupils will have 2 hours to complete the assessment for this unit.

Assessment of this unit will take place at the end of Year 12. Pupils’ work in this unit will be externally assessed.

## OVERVIEW OF KEY STAGE 5 CURRICULUM

At Key Stage 5, the Mathematics Department offers Mathematics at AS and A2 Level. Students follow the CCEA specification. At AS Level, Mathematics is delivered over eleven lessons per fortnight. At A2 Level, Mathematics is delivered over ten periods per fortnight.

At Key Stage 5, the Mathematics Department aims to:

- consolidate and extend the knowledge, skills and understanding developed by students at Key Stage 4;
- have a structure which will allow students of all abilities to have the opportunity to demonstrate positive achievement; and
- provide a suitable foundation for the study of Mathematics and other subjects in further and higher education and for a range of interesting careers.

At AS Level, students must successfully complete three modules. A further three modules must be successfully completed at A2 Level.

## AS MATHEMATICS

## Unit 1: C1 Core Maths 1 (16.7%)

This unit aims to introduce students to the foundations of A-Level Pure Mathematics. All other Pure Core Maths modules assume the knowledge of C1.

In this unit, students are required to study:

- Algebra
- Co-ordinate Geometry
- Differentiation
- Functions

This unit is assessed in the form of a written examination. Students will have 1 hour and 30 minutes to complete the assessment for this unit. Assessment of this unit will take place at the end of Year 13. Students may not use a calculator for this assessment.

## Unit 2: C2 Core Maths 2 (16.7%)

This unit aims to extend and stretch students’ knowledge of AS Level Mathematics. Knowledge of C1 is assumed.

In this unit, students are required to study:

- Logarithms
- Sequences
- Series and Binomial Theorem
- Trigonometry
- Integration
- Circle Geometry

This unit is assessed in the form of a written examination. Students will have 1 hour and 30 minutes to complete the assessment for this unit.

Assessment of this unit will take place at the end of Year 13.

## Unit 3: M1 Mechanics 1 (16.7%)

This unit aims to introduce students to mathematical modelling and the application of Mathematics. Knowledge of C1 and C2 is assumed.

In this unit, students are required to study:

- Kinematics
- Force and Acceleration
- Momentum and Impulse
- Moments

This unit is assessed in the form of a written examination. Students will have 1 hour and 30 minutes to complete the assessment for this unit.

Assessment of this unit will take place at the end of Year 13.

## A2 MATHEMATICS

## Unit 4: C3 Core Maths 3 (16.7%)

This unit aims to extend and stretch students’ mathematical knowledge beyond that of AS Level Pure Mathematics. A graphics calculator will be useful for this and all subsequent modules at A2 Level. Knowledge of C1 and C2 is assumed.

In this unit, students are required to study:

- Algebra
- The Binomial Theorem
- Trigonometry
- Functions
- Differentiation
- Integration

This unit is assessed in the form of a written examination. Students will have 1 hour and 30 minutes to complete the assessment for this unit. Assessment of this unit will take place at the end of Year 14.

## Unit 5: C4 Core Maths 4 (16.7%)

This unit aims to stretch students’ mathematical knowledge beyond that of AS Level Pure Mathematics. This unit is the most difficult of all the Core Pure Maths modules. A graphics calculator will be useful for this and all subsequent modules at A2 Level. Knowledge of C1, C2 and C3 is assumed.

In this unit, students are required to study:

- Trigonometry
- Parametric Differentiation
- Integration
- Vectors
- Functions

This unit is assessed in the form of a written examination. Students will have 1 hour and 30 minutes to complete the assessment for this unit. Assessment of this unit will take place at the end of Year 14.

Please note: To achieve an A* grade, a student’s average score for C3 and C4 must meet or exceed 90%.

## Unit 6: S1 Statistics 1 (16.7%)

This unit aims to introduce students to Statistical Modelling. In this unit, students are required to study:

- Statistical Measures
- Probability
- Discrete and Continuous Probability Density Functions
- Normal Distribution

This unit is assessed in the form of a written examination. Students will have 1 hour and 30 minutes to complete the assessment for this unit. Assessment of this unit will take place at the end of Year 14.

## EXTRA- CURRICULAR PROVISION

The Mathematics Department contributes extensively to the school’s extra-curricular provision. Extra-curricular activities include:

- Maths Fun Day for Year 8 and 9
- UK Mathematical Challenge for Year 9
- Intermediate Mathematical Challenge for Year 12
- Senior Mathematical Challenge for Year 14
- Numeracy withdrawal support
- CLAN Project to provide numeracy support for Year 12 pupils
- Attendance at in-house lectures by visiting speakers

## FACILITIES AND RESOURCES

Facilities and resources within the Mathematics Department include:

- 5 classrooms with interactive white boards

## CAREERS INFORMATION

The study of Mathematics is useful for careers in areas such as:

- Actuary
- Engineering
- Finance