Mathematics

Vision 

“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.” National Curriculum

It is therefore our vision to provide high quality mathematics education and to equip our students with the skills they will need for the future; to provide pupils with the array of mathematical knowledge and skills; to be able to solve problems independently; to persevere and discover the right answer using logical steps. Our curriculum promotes methodical thinking and demonstrates the use of mathematics to solve real life problems.

Our Maths Curriculum has been developed from the Edexcel 5 year scheme of work, but this has been adapted, ordered and differentiated to ensure that topics and skills challenge and engage students of all abilities. Although the 5 year Scheme of Work is divided by Key Stage, progression is cyclical enabling students to re-visit and embed prior knowledge while developing a deeper understanding of higher order mathematical skills.

Our large team of mathematics staff deliver this curriculum through a mixture of student or teacher-led activities, independent discovery tasks, practical & active learning tasks which include WOW events where pupils will be required to leave the confines of the classroom to build, weigh, measure or construct models to practise their skills. The pedagogy and good practice of teaching is shared during Faculty Development Time to ensure a commonality of practice and a rich diet of mathematical experiences for our students. In the Maths department, we have agreed an ‘Open Door’ policy and invite colleagues from all departments in the school to join us and improve their maths skills!

We want our pupils to be independent and resilient learners with good logical thinking skills. Our expectations are high for our students and we encourage them to compete in the Maths Challenge and STEM events across the borough and nationally. The enjoyment of mathematics is also a priority for our team who create termly WOW lessons and activities with celebratory themes and competitions related to real-life events (Halloween, Christmas, Easter and summer).

Faculty results have been pleasing in recent years with a positive trajectory of improvement and include a positive progress score for key groups. It is now our vision to support other subject areas to further develop their understanding of mathematics, and to collaborate with colleagues to gain a consistent approach to the teaching of mathematical skills in all subject areas. This in turn will open students’ minds to the concept and use of mathematics both across the curriculum and in their future lives, no matter which career they pursue.

We believe that Mathematics equips students with uniquely powerful ways to describe, analyse and change the world and therefore, as such is a critical part of the core curriculum. Students in Key Stage 3 study Mathematics for four 50 minute lessons per week.

Key Stage 3

When students enter the school in year 7, they are placed in ability groups based upon Key Stage 2 results and information provided by the primary school. Pupils with special needs are catered for by differentiated work in lessons, by the provision of specialist support staff and a Mathematics specialist teaching assistant attached to the faculty.

Students are fully supported throughout their time at Harlington School with excellent resources, targeted teaching, and opportunities to attend after school sessions as well as extra support from teachers in the department on an individual and small group basis. In line with the school’s home learning policy and to reinforce and extend skills, homework is set and expected to be handed in every week.

COURSE CONTENT

  • How to apply a broad range of mathematical concepts to solve problems, both abstract and in context;
  • The number system and how to effectively work with numbers including percentages, fractions, decimals and ratios;
  • The use of algebra to solve problems involving unknowns;
  • Properties of shapes and space and how to effectively use measures;
  • The use of statistics and data handling to collect, present and analyse data.

You will learn by:

  • Working on investigations and rich tasks to solve problems and make mathematical connections and discoveries for yourself;
  • Completing paired and group work to build team working and communication skills alongside developing your mathematical knowledge and skills;
  • Exploring mathematical concepts and how they relate to and describe the world around us;
  • Using maths related ICT programmes and software where possible.

ASSESSMENT

Each term our students are tested to assess their progress. Students are assessed on a mixture of calculator and non- calculator questions at the end of each term or 10 week teaching block, on the topics covered during the term. Progress is constantly monitored and set changes are made throughout the school year to suit students attainment levels.

Equipment

All students require a scientific calculator and basic geometry equipment (protractor and pair of compasses). These can be purchased in school or from any stationery retailer.

Key Stage Four

GCSE MATHEMATICS

COURSE CONTENT

The GCSE Mathematics course is based upon the Edexcel GCSE Mathematics 9-1 and Mathematics is a compulsory subject at GCSE for all students.

During the course, pupils will develop knowledge and skills in understanding mathematical methods and concepts including Number, Algebra, Ratio and Proportion, Rates of change, Geometry and Measures and Statistics and Probability. Throughout the syllabus, teaching will explore concepts with emphasis on conversation and problem solving skills to build confidence in understanding.

ASSESSMENT

The course will be assessed at the end of year 11 through three written papers, each contributing one third of the final grade. One paper will be non-calculator and the other two calculator papers, each of length 1 hour 30 minutes.

Each paper will have a range of question types, utilising both structured and unstructured questions. Some questions on the paper will be set in context, both mathematical and non-mathematical. The exams will be testing skills of fluency, reasoning and problem solving. There are clear distinctions in content at Higher and Foundation level. A decision based on prior attainment, mock examinations and teacher assessment in class as well as homework, will be made as to the tier of entry prior to the examination. The grading in higher tier will be grades 9-4 and the foundation 5-1. The full specification can be downloaded at:

Edexcel Maths Specification from 2017

Main topic changes

New skills to Foundation tier

Index laws: zero and negative powers (numeric and algebraic), Standard form, Compound interest and reverse percentages, Direct and indirect proportion (numeric and algebraic), Expand the product of two linear expressions, Factorise quadratic expressions in the form x2, Solve linear/linear simultaneous equations, Solve quadratic equations by factorisation, Plot cubic and reciprocal graphs, recognise quadratic and cubic graphs, Trigonometric ratios in 2D right-angled triangles, Fractional scale enlargements in transformations, Lengths of arcs and areas of sectors of circles, Mensuration problems, Vectors (except geometric problems/ proofs), Density, Tree diagrams, Congruence and similarity.

New skills to Higher tier

Expand the products of more than two binomials, Interpret the reverse process as the ‘inverse function’; interpret the succession of two functions as a ‘composite function’ (using formal function notation), Deduce turning points by completing the square, Calculate or estimate gradients of graphs and areas under graphs, and interpret results in real-life cases (not including calculus), Simple geometric progressions including surds, and other sequences, Deduce expressions to calculate the nth term of quadratic sequences, Quadratic inequalities, Calculate and interpret conditional probabilities through representation using expected frequencies with Venn diagrams, Calculating the equation of a circle.

Useful websites:

Hegarty Maths

https://www.bbc.co.uk/schools/gcsebitesize/maths/

https://www.mrbartonmaths.com/pupils.htm

https://www.edexcel.com/quals/gcse/gcse10/maths/maths-a/Pages/default.aspx

GCSE Further Mathematics (at Key Stage 4)

GCSE Further Mathematics qualification will both broaden and deepen the mathematics covered in GCSE Mathematics. Further Mathematics is designed to be taught alongside GCSE Mathematics in the spring term of year 11.

By studying GCSE Further Mathematics you will experience a more independent style of learning, which is good preparation for A Level Mathematics or A Level Further Mathematics. Students who are considering choosing A level Maths will be offered the opportunity to study Further Maths in the Spring and Summer terms of year 11.

Key Stage Five

GCSE Mathematics Resit

At Harlington School we offer our Year 12 and Year 13 students the opportunity to improve their GCSE Maths result to achieve at least Grade 4. This ‘second chance’ is a recap of the GCSE Maths syllabus taught in Year 11 but this time focusing on topic areas identified as areas of development using ‘Edexcel Pass Plus’ support service. Lessons are taught by specialist mathematicians.

 

A Level Mathematics

AS level Mathematics (Year 12)

COURSE CONTENT

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

Proof                                                                  Trigonometry

Algebra and functions                                       Exponentials and logarithms

Co-ordinate geometry in the (x, y) plane           Differentiation

Sequences and series                                         Integration

Vectors

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

Section A: Statistics                                          Section B: Mechanics

Statistical sampling                                            Quantities and units in mechanics

Data presentation and interpretation                 Kinematics

Probability                                                         Forces and Newton’s laws

Statistical distributions

Statistical hypothesis testing

ASSESSMENT

AS Level Edexcel Mathematics qualification is assessed through one pure and one applied paper.

  • Paper 1: Pure Mathematics (62.5%) 2 hours, 100 marks
  • Paper 2: Statistics & Mechanics (37.5%) 1 hour 15 mins, 60 marks
    • Section A: Statistics (30 marks)
    • Section B: Mechanics (30 marks)

Use of data in statistics

Pearson has provided a large data set, which will support the assessment of Statistics in Paper 3: Statistics and Mechanics. Students are required to become familiar with the data set in advance of the final assessment.

Assessments will be designed in such a way that questions assume knowledge and understanding of the data set. The expectation is that these questions should be likely to give a material advantage to students who have studied and are familiar with the data set.

A level Mathematics

COURSE CONTENT

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

Unit 2: Pure Mathematics 2 (Paper code: 9MA0/02)

Proof                                                                  Trigonometry

Algebra and functions                                       Exponentials and logarithms

Co-ordinate geometry in the (x, y) plane           Differentiation

Sequences and series                                         Integration

Vectors

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

Section A: Statistics                                          Section B: Mechanics

Statistical sampling                                            Quantities and units in mechanics

Data presentation and interpretation                 Kinematics

Probability                                                         Forces and Newton’s laws

Statistical distributions                                      Moments

Statistical hypothesis testing

ASSESSMENT

A Level Edexcel Mathematics qualification is assessed through separate pure and applied papers: two pure maths papers and one applied maths paper.

Calculators will be required for all assessments.

  • Paper 1: Pure Mathematics 1 (2 hours) 100 marks
  • Paper 2: Pure Mathematics 2 (2 hours) 100 marks
  • Paper 3: Statistics & Mechanics (2 hours) 100 marks
    • Section A: Statistics (50 marks)
    • Section B: Mechanics (50 marks)