# Maths

## Maths

At The Duston School we provide students with unique opportunities so they understand the rules and fundamental theories that build resilience and solve problems. We aim to nurture pupils to enjoy and respect mathematical approach and enquiry.

Mathematics allows for the formulation and solution of real-world problems as well as the creation of new ideas for our evolving world. We recognise that Mathematics is the means on which technological, industrial, military, economic, and political systems rely.

It is imperative that we share the joy of learning mathematics, ensuring our students actively participate in the teaching and learning process so that they are able to acquire the knowledge essential in playing their role as global citizens.

Numeracy, everyday simple number work is delivered through a number of platforms, including one to one support, the maths classroom and tutor groups. In years 7 and 8, students with the greatest need are given high frequency one to one support. This support is based on the “Power of 2” programme and involves practise of basic numeracy skills. At KS3 all maths classes complete regular short numeracy tests based on “Fast Learning” addition and multiplication grids. In addition to this all students take part in a Times Table competition, where they compete, for house points, against both their own personal best as well as their peers. Finally, all students complete a weekly Numeracy Challenge. This consists of a number of short tests of basic numeracy, vocabulary and problem solving skills.

## Year 7-8

Key Stage 3 Maths covers a variety of disciplines:

- Number
- Algebra
- Ratio, Proportion and rates of change
- Geometry and Measures
- Probability
- Statistics

## Year 9-11

GCSE Maths is with the Edexcel exam board and there are two tiers of entry:

Tier | Topic Area | Weighting |
---|---|---|

Foundation |
Number | 22-28% |

Algebra | 17-23% | |

Ratio, Proportion and rates of change | 22-28% | |

Geometry and Measures | 12-18% | |

Statistics and Probability | 12-18% | |

Higher |
Number | 12-18% |

Algebra | 27-33% | |

Ratio, Proportion and rates of change | 17-23% | |

Geometry and Measures | 17-23% | |

Statistics and Probability | 12-18% |

Pupils sit 3 equally weighted papers that last an hour and a half in duration.

## Year 12-13

Key Stage 5 offers Mathematics and Further Mathematics, with examinations at AS and A-level, as well as Core Maths (Level 3) as an AS qualification:

For **AS level Mathematics**, the content of each paper (2 in total) is outlined below:

**Paper 1: Pure Mathematics (*Paper code: 8MA0/01)**

*Written examination: 2 hours 62.5% of the qualification *

*100 marks*

**Content overview**

**Topic 1 -**Proof- Topic 2 - Algebra and functions
- Topic 3 - Coordinate geometry in the (x, y) plane
- Topic 4 - Sequences and series
- Topic 5 - Trigonometry
- Topic 6 - Exponentials and logarithms
- Topic 7 - Differentiation
- Topic 8 - Integration
- Topic 9 - Vectors

Assessment overview

- Students must answer all questions.
- Calculators can be used in the assessment.

**Paper 2: Statistics and Mechanics (*Paper code: 8MA0/02)**

*Written examination: 1 hour 15 minutes **37.5% of the qualification *

*60 marks*

**Content overview**

**Section A: Statistics**

- Topic 1 - Statistical sampling
- Topic 2 - Data presentation and interpretation
- Topic 3 - Probability
- Topic 4 - Statistical distributions
- Topic 5 - Statistical hypothesis testing
**Section B: Mechanics** - Topic 6 - Quantities and units in mechanics
- Topic 7 - Kinematics
- Topic 8 - Forces and Newton's laws

**Assessment overview**

- The assessment comprises two sections: Section A - Statistics and Section B - Mechanics.
- Students must answer all questions.
- Calculators can be used in the assessment.

For **A-level Mathematics**, the content of each paper (3 in total) is outlined below:

**Paper 1: Pure Mathematics 1 (*Paper code: 9MA0/01)
Paper 2: Pure Mathematics 2 (*Paper code: 9MA0/02)**

*Each paper is:*

*2-hour written examination 33.33% of the qualification 100 marks*

**Content overview**

Topic 1 - Proof

Topic 2 - Algebra and functions

- Topic 3 - Coordinate geometry in the (x, .1
^{.}) plane - Topic 4 - Sequences and series
- Topic 5 - Trigonometry
- Topic 6 - Exponentials and logarithms
- Topic 7 - Differentiation
- Topic 8 - Integration
- Topic 9 - Numerical methods
- Topic 10 - Vectors

**Assessment overview**

- Paper 1 and Paper 2 may contain questions on any topics from the Pure Mathematics content.
- Students must answer all questions.
- Calculators can be used in the assessment.

**Paper 3: Statistics and Mechanics (*Paper code: 9MA0/03)**

*2-hour written examination 33.33% of the qualification 100 marks*

**Content overview**

**Section A: Statistics**

- Topic 1 - Statistical sampling
- Topic 2 - Data presentation and interpretation
- Topic 3 - Probability
- Topic 4 - Statistical distributions
- Topic 5 - Statistical hypothesis testing

**Section B: Mechanics**

- Topic 6 - Quantities and units in mechanics
- Topic 7 - Kinematics
- Topic 8 - Forces and Newton's laws
- Topic 9 - Moments

**Assessment overview**

- Paper 3 will contain questions on topics from the Statistics content in Section A and
- Students must answer all questions.
- Calculators can be used in the assessment.

For **AS level Further Mathematics**, the content of each paper is outlined below:

**Paper 1: Core Pure Mathematics (*Paper code: 8FM0/01)**

*Written examination: 1 hour and 40 minutes **50% of the qualification*

*80 marks*

**Content overview**

Proof, Complex numbers, Matrices, Further algebra and functions, Further calculus, Further vectors

**Assessment overview**

- Students must answer all questions.
- Calculators can be used in the assessment.

**Paper 2: Further Mathematics Options (*Paper codes: 8FM0/2A-2K)**

*Written examination: 1 hour and 40 minutes 50% of the qualification*

*80 marks*

**Content overview**

**2F: Further Statistics 1 and Decision Mathematics 1**

**Assessment overview**

- Students must answer all questions.
- Calculators can be used in the assessment.

**Paper 1: Core Pure Mathematics 1 (*Paper code: 9FM0/01)
Paper 2: Core Pure Mathematics 2 (*Paper code: 9FM0/02)**

*Each paper is:*

*1 hour and 30 minutes written examination **25% of the qualification*

*75 marks*

**Content overview**

Proof, Complex numbers, Matrices, Further algebra and functions, Further calculus, Further vectors, Polar coordinates, Hyperbolic functions, Differential equations

**Assessment overview**

9 Paper 1 and Paper 2 may contain questions on any topics from the Pure Mathematics content.

- Students must answer all questions.
- Calculators can be used in the assessment.

**Paper 3: Further Mathematics Option 1 (*Paper codes: 9FM0/3A-3D)**

*Written examination: 1 hour and 30 minutes 25% of the qualification*

*75 marks*

**Content overview **B: Further Statistics 1

**Assessment overview**

- Students must answer all questions.

Calculators can be used in the assessment.

**Paper 4: Further Mathematics Option 2 (*Paper codes: 9FM0/ 4A-4G)**

*Written examination: 1 hour and 30 minutes **25% of the qualification*

*75 marks*

**Content overview**

D: Decision Mathematics 1

**Assessment overview**

- Students must answer all questions.
- Calculators can be used in the assessment.

For **Core Maths**, the course content is outlined below:

**Paper I**

**What's assessed:**

- 3.1 Analysis
- 3.2 Maths for personal finance
- 3.3 Estimation

**Assessed:**

- written exam: 1 hour 30 minutes
- 60 marks
- scientific calculator or graphics calculator allowed (see section 5.9 for more information on calculators).

**Paper 2B: Critical path and risk analysis**

**What's assessed:**

- 3.8
- 3.9
- 3.10

Students will be expected to draw on the mathematical content of Paper 1.

Students will be expected to develop and demonstrate

confidence and competence in the understanding and application of mathematical modelling in the solution of problems related to decision making and the planning of projects.

**Assessed:**

- written exam: 1 hour 30 minutes
- 60 marks
- scientific calculator or graphics calculator allowed (see section 5.9 for more information on calculators).