Maths

Mathematics is a creative and highly inter-connected discipline that has been developed over centuries, providing the solution to some of history’s most intriguing problems. It is essential to everyday life, critical to science, technology and engineering, and necessary for financial literacy and most forms of employment. A high-quality mathematics education therefore provides a foundation for understanding the world, the ability to reason mathematically, an appreciation of the beauty and power of mathematics, and a sense of enjoyment and curiosity about the subject.

Aims

The national curriculum for mathematics aims to ensure that all pupils:

  • Become fluent in the fundamentals of mathematics, including through varied and frequent practice with increasingly complex problems over time, so that pupils develop conceptual understanding and the ability to recall and apply knowledge rapidly and accurately. reason mathematically by following a line of enquiry, conjecturing relationships and generalisations, and developing an argument, justification or proof using mathematical language
  • Can solve problems by applying their mathematics to a variety of routine and non- routine problems with increasing sophistication, including breaking down problems into a series of simpler steps and persevering in seeking solutions.
  • Mathematics is an interconnected subject in which pupils need to be able to move fluently between representations of mathematical ideas. The programme of study for key stage 3 is organised into apparently distinct domains, but pupils should build on key stage 2 and connections across mathematical ideas to develop fluency, mathematical reasoning and competence in solving increasingly sophisticated problems. They should also apply their mathematical knowledge in science, geography, computing and other subjects.

Maths students are categorised by two groups at Harlington throughout Key Stage 3 and 4 – ‘working towards’ and ‘working above’. Decisions about progression are based on the security of pupils’ understanding and their readiness to progress to the next stage. Pupils who grasp concepts rapidly are challenged through being offered rich and sophisticated problems in our ‘working above’ group and those who are not sufficiently fluent consolidate their understanding, in our ‘working towards’ group, before moving on.

Key Stage 4 Mathematics

Maths GCSE covers the following content: 

  1. Number 
  2. Algebra 
  3. Ratio, proportion and rates of change 
  4. Geometry and measures 
  5. Probability 
  6. Statistics 

All students are entered for GCSE Mathematics Higher or Foundation. The work demanded of this subject is a continuation of the work covered in Key Stage 3. The GCSE course encompasses five main areas of mathematical knowledge: Number; Algebra; Ratio, Proportion and Rates of change, Geometry and Measures, Statistics & Probability. The students develop a skill base and then learn how to apply these skills to solving problems. The Higher Tier course is a suitable preparation for A-level Mathematics. 

A decision will be made as to the tier of entry prior to the examination based on prior attainment, mock examinations and teacher assessment.

Hours taught per week – 5

Curriculum Journey ‘working towards’

Curriculum Journey ‘working above’

Curriculum Journey ‘cross-over’ 

Exam Board – Edexcel

Specification

Assessment

Exam (1.5 hours) All content no calculator allowed. 33.3% of qualification
Exam (1.5 hours) All content calculator allowed. 33.3% of qualification
Exam (1.5 hours) All content calculator allowed. 33.3% of qualification

How parents can help: Maintain good levels of basic numeracy – e.g. frequently test times-tables. Homework is set on a weekly basis in Mathematics and should be completed. 

Useful websites include:

https://hegartymaths.com/

 (login and password details are given to students each year)

mymaths.co.uk

(login and password details are given to students each year) 

corbettmaths.com/5-a-day/gcse/

www.mrbartonmaths.com/students/legacy-gcse/gcse-maths-takeaway 

www.pearson.com/uk/learners/secondary-students-and-parents

 

Key stage 5 Mathematics A level

Course content

This course is designed to develop and extend your mathematical knowledge and skills. These include the skill of working with mathematical information, as well as the ability to think logically and independently, consider accuracy, model situations mathematically, analyse results and reflect on findings. The core pure aspect of the course includes topics such as; Algebra, Geometry, Trigonometry, Calculus, Complex numbers, Matrices, Proof, Hyperbolic functions, Polar coordinates, Differential equations. This is a taught course which requires a lot commitment and dedication through self-study. The students are taught con-tent which supports and builds upon the Mathematic A level content.

Exam board – Edexcel

Specification

Assessment

Exam (2 hours) Pure Mathematics 1 33.3% of qualification
Exam (2 hours) Pure Mathematics 2 33.3% of qualification
Exam (2 hours) Statistics and Mechanics 33.3% of qualification

 

Key stage 5 Further Mathematics A Level

Course content

Further Mathematics is for students who have a proven mathematical ability. They will possess mathematical flair, passion and love for the subject. Many students will go on to read Mathematics at University or follow a course that has significant mathematical content . 

You will be provided with skills such as: how to construct mathematical proofs; interpret problems and communicate correctly using correct mathematical grammar, notation and symbols. 

New topics include: complex numbers and matrices in Core Pure Maths.

Exam board – Edexcel

Specification

Assessment

Exam (2 hours) Pure Mathematics 1 33.3% of qualification
Exam (2 hours) Pure Mathematics 2 33.3% of qualification
Exam (2 hours) Statistics and Mechanics 33.3% of qualification