# Mathematics

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**Key Stage 3**

The mathematics curriculum at Key Stage 3 is loosely based on the English national curriculum. We have adapted it to fit our students’ needs. As a guide, we aim to cover up to level 6 in Year 7, level 7 in Year 8 and level 8 in year 9.

We are now increasingly starting to deliver our curriculum by means of tasks that encourage the use of Higher Order Thinking Skills. A useful website with more information on this is www.nrich.maths.org

Year 7 |
Term 1 |
Term 2 |
Term 3 |

Working with decimals & integers | Linear expressions & graphs | Rounding Powers | |

Sequences & simplifying expressions | Reflections & rotations | Solving equations & conversion graphs | |

Length and area | Collecting & representing data | Geometrical Constructions | |

Fractions, decimals & percentages | Fractions & ratios | ||

Probability & Averages | Transformations | ||

Volume & Surface area | |||

Statistics Project |

Year 8 |
Term 1 |
Term 2 |
Term 3 |

Multiples, factors, primes & powers | Linear & quadratic graphs | Solving equations & inequalities | |

Angles in polygons | Decimals & fractions | Collection & presentation of data | |

Calculating probabilities | Transformations & tessellations | Geometrical Constructions | |

Fractions, decimals & percentages | Statistical charts | ||

Algebraic manipulation | |||

Perimeters, areas & volumes |

Year 9 |
Term 1 |
Term 2 |
Term 3 |

Researching the golden ratio | Areas & volumes | Transformations | |

Sequences | Standard form | Right angled triangle trigonometry | |

Linear graphs | Indices, surds | Algebraic manipulation | |

Fractions, decimals, percentage & ratio | Graphs of quadratics & cubics | Sectors, arcs & cylinders | |

Equations, formulae and identities | Calculating probabilities | Simultaneous equations | |

Construction and Loci | |||

Pythagoras’ theorem | |||

Data collection & representation |

**Key Stage 4**

In Key Stage 4 this year we are following a new IGCSE syllabus, the Cambridge International Mathematics course. This course builds on the work done in KS3 as it incorporates investigational and mathematical modelling skills and also prepares students very well for the IB programme. A graphical display calculator is required for this course and this facilitates an enquiry based approach to learning and encourages students to use technology to model mathematics. There are two levels of examination for this course: Extended (grades A* - C) and Core (grades C and below).

Year 10IGCSE |
Term 1 |
Term 2 |
Term 3 |

Number | Trigonometry 1 | Geometry | |

Algebra 1 | Mensuration | Algebra 2 | |

Functions & Graphs | Trigonometry 2 |

Year 11IGCSE |
Term 1 |
Term 2 |
Term 3 |

Sets & Vectors | Probability | ||

Transformations | Revisions & Past Paper Practice | ||

Statistics |

**Key Stage 5 - IB**

The IB has three levels of mathematics:

Mathematics HL

Mathematics SL

Mathematics Studies

**Mathematics HL**

This course provides for students with a strong background in mathematics who are competent in a range of analytical and technical skills. The majority of these students will be expecting to include mathematics as a major component of their university studies. Others may take this subject because they have a strong interest in mathematics and enjoy meeting its challenges and engaging with its problems.

**Summary of the course **

**Core Content: Students must study all of the following**

1. Algebra

2. Functions and Equations

3. Circular functions and trigonometry

4. Vectors

5. Statistics and probability

6. Calculus

**Option: Students must study one of the following**

7. Statistics and probability

8. Sets, relations and groups

9. Calculus

10. Discrete mathematics

**Mathematical Exploration**

**Assessment**

The topics above are assessed by external examinations (three papers) accounting for 80% of the final grade. The portfolio, which is internally assessed, contributes 20% of the final grade.

**Recommended background knowledge**

A high level of mathematical ability and background knowledge is required to handle this demanding course. Students should have attained a grade A or above in their IGCSE extended examination for mathematics or its equivalent.

**Mathematics SL**

This course provides for students with a strong background in mathematics, and whose interests lie in the fields where mathematical skills and techniques are likely to be needed. It is a course that provides the students with skills needed to cope with the demands of a technological society. Emphasis is placed on the application of mathematics to real-life situations.

**Summary of the course **

1. Algebra

2. Functions and Equations

3. Circular functions and trigonometry

4. Vectors

5. Statistics and probability

6. Calculus

**Mathematical Exploration**

**Assessment**

The topics above are assessed by external examinations (two papers) accounting for 80% of the final grade. The portfolio, which is internally assessed, contributes 20% of the final grade.

**Recommended background knowledge**

A high level of mathematical ability and background knowledge is required to handle this demanding course. Students should have attained a grade B or above in their IGCSE extended examination for mathematics or its equivalent.

**Mathematical Studies**

Mathematical studies is designed to build confidence and encourage an appreciation of mathematics in students who do not need mathematics in their future studies. Mathematical studies concentrates on mathematics that can be applied to other curriculum subjects, to common general world occurrences and to topics that relate to home, work and leisure situations. Emphasis is placed on the application of mathematics based on real-life situations. It encourages students to become critical thinkers and life long learners.

The course includes a project - a piece of written work based on personal research, guided and supervised by the teacher. In this students undertake an investigation of a mathematical nature in the context of another subject in the curriculum, or a hobby or interest of their choice, using skills learned before and during the mathematical studies course. Projects may take the form of mathematical modelling, investigations, applications or statistical surveys.

Students most likely to select this subject are those whose main interests lie outside the field of mathematics, and for many mathematical studies students this will be their last formal mathematics course.

We internally assess students by means of termly topic tests, end of year exams, and mini projects.

**Topic list**

1. Number and algebra

2. Descriptive Statistics

3. Sets, logic and probability

4. Geometry and trigonometry

5. Mathematical Models

6. Introduction to differential calculus

**Assessment**

- Paper 1 (1 hour 30 minutes) 40%
- Paper 2 (1 hour 30 minutes) 40%
- Internal assessment 20%