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Mathematics

The aim of the Mathematics Department is to foster an environment where every student succeeds and has the confidence and self-belief to solve problems, gain understanding and enjoy exploring the elegant enigmas of number.

This department believes that everyone ‘can do’ maths and that it is a facilitating subject for a host of degree and career choices.

Mathematics is, in its way, the poetry of logical ideas. Albert Einstein

We run Maths Clubs for support or further challenge. This club is well attended and supported by our Sixth Form Subject Mentors.

Prep

Mathematics: Prep

Course Description

We follow the National Curriculum for Mathematics (Primary school)

Aiming for Maths Mastery.
The Prep school Maths curriculum/course exemplifies the progression in mental and written calculations, through a concrete, pictorial and abstract approach, for addition, subtraction, multiplication and division with the key aim for pupils being that through a consistent and progressive approach to teaching and learning calculations they will be secure in their understanding of place value and be able to select the most efficient method of calculation for any given mathematical problem.

Curriculum Overview

Mathematics is a core subject in the National Curriculum, and our scheme of work is based on the New National Curriculum (September 2014) which forms the basis for implementing the statutory requirements of the programme of study for mathematics. In addition, staff follow the White Rose Schemes of Work in Upper Prep and Primary Stars in Lower Prep which give long term overviews, termly break downs of themes, as well as ‘small steps’ which show how each learning objective is broken down into smaller more manageable steps.
The curriculum at the Prep school focuses on developing subject knowledge alongside the development of core skills using the PSB framework. The Prep School Baccalaureate (PSB) is a framework of study for children in junior and preparatory schools which focuses on the active development and assessment of 6 core skills: Communication, Collaboration, Leadership, Independence, Reviewing and improving and Thinking and Learning.

What are the unique selling points of studying this subject at St Columba’s College?

Maths Challenge and competitions (see section 12)
Maths Week (see section 12)
Ability sets to ensure each child reaches their potential

How are the students assessed?

A baseline assessment is set at the start of each year using INCAS These tests are sat online and provide age related indicators as well as indicating strengths and weaknesses in arithmetic and mental maths skills. The data collected from these tests is used to track a child’s progress for the duration of their time in the Prep School.
Pupils are assessed at the end of each unit of work using a short written test. In addition, pupils sit a mid year arithmetic assessment half way through the Lent term and end of year arithmetic and reasoning and problem solving assessments in June.

Home Learning

Children in both Upper and Lower Prep are set home learning tasks twice a week and tasks are due in the following day. These tasks can take a variety of forms: online Maths games to practise times tables, number bonds, etc., written tasks, e.g. calculations, reasoning and problem solving questions, board games to play with an adult/sibling, research/enquiry based activities e.g. shape/angle hunt, design a poster/information sheet on a given concept, and many more.

How can parents/guardians support their child’s learning?

We encourage parents and guardians to show an interest in their child’s learning in all areas. In Maths, we believe developing number confidence and a positive attitude to maths has a crucial impact on a child’s learning, and their ability to use numbers in everyday life as they grow. Three top tips we would give to parents/guardians are:

  • Be positive about maths. Try not to say things like “I can’t do maths” or “I hated maths at school” – your child may start to think like that themselves.
  • Point out the maths in everyday life. Include your child in activities involving numbers and measuring, such as shopping, cooking and travelling.
  • Praise your child for effort rather than for being “clever”. This shows them that by working hard, they can always improve.

Useful Links

www.mathszone.co.uk lots of games and activities for all year groups and all maths topics
Woodlands Resources Maths Zone – Free Maths Games (primaryhomeworkhelp.co.uk) lots of interactive maths games
www.mymaths.co.uk
Daily 10 – Mental Maths Challenge – Topmarks a popular game for developing fluency with number bonds, times tables and arithmetic skills. Learn to Count with fun Counting Games for KS1 Children (topmarks.co.uk) also has a host of other maths games including Hit the Button Hit the Button – Quick fire maths practise for 6-11 year olds (topmarks.co.uk)
Math is Fun (mathsisfun.com) this website is useful for subject knowledge and has end of theme quizzes to test conceptual and procedural understanding.

Maths Challenges and Competitions

Children enjoy competing in regional and national Maths Challenges, including The Primary Maths Challenge (Prep 5 and 6), The First Maths Challenge (Prep 3 and 4), The UKMT Junior Maths Challenge (Prep 5 and 6), Quiz Club Championships and local Maths challenges hosted by Douglas Buchanan in various local schools.

Maths Week

The whole Prep school enjoy a week of Maths in November to coincide with Maths Week England. Children experience maths workshops, daily Maths puzzles and challenges, competitions and alternative maths activities. This year the College head of Maths delivered an exciting Maths Origami workshop and A Level student supported Prep school pupils with a range of activities, including judging the creative ‘Maths and Art’ competition.

Senior

Mathematics: Senior

Course Description

Years 7, 8 & 9

The students follow a bespoke curriculum but use the MyMaths textbooks and online resources. The focus of this specification is to develop problem solving skills whilst covering a diverse range of topics essential for their development as mathematicians and to prepare them for the higher IGCSE. Students are taught in 4 x 50-min lessons per week and are set according to ability.

Years 10 & 11

All students follow the Edexcel IGCSE Higher qualification in Mathematics and are taught in 5 x 50-min lessons per week and are set according to ability. The top two sets also study the AQA Level 2 Certificate in Further Mathematics alongside their IGCSE. There is also the opportunity to study Edexcel GCSE Statistics as an option subject, this is taught in 3 x 50-min lessons per week.

Years 12 & 13

Mathematics A level is the most popular subject in the Sixth Form with a good number choosing Further Mathematics as well. This usually translates to three groups for Maths and a separate group for Further Maths. The students follow the Edexcel specification for both courses, which the optional units for Further Mathematics being Decision Maths, Further Statistics and Further Mechanics and the results are amongst the best in the College.

Curriculum Overview

Years 7, 8 & 9

The curriculum is split into four main areas, which are studied throughout the year. These are Number, Algebra, Shape & Space and Data Handling, and students are taught to problem solve across the curriculum. We operate a spiral curriculum, meaning the students revisit each area every year, consolidating and building their understanding as they progress through key stage three in preparation for the IGCSE.

Years 10 & 11

IGCSE Mathematics is split into four key areas; Number, Algebra, geometry and Statistics. The specification allows for students to develop their problem-solving skills by translating problems in mathematical or non-mathematical contexts. Students will develop reasoning skills through exercises such as presenting arguments and proofs, and making deductions and drawing conclusions from mathematical information.

GCSE Statistics is an option subject and split into three key areas, the collection of data, processing, representing and analysing data and Probability. The aims of this qualification is to develop statistical fluency and understanding through real life examples, applicable across the subject range and developing a critically evaluative approach to data.

Level 2 Certificate in Further Mathematics is taken by the top two sets at GCSE and is taught alongside the IGCSE curriculum. This qualification fills the gap for high achieving students by assessing their higher order mathematical skills, particularly in algebraic reasoning, in greater depth, thus preparing them fully to maximise their potential in further studies at Level 3. It offers the opportunity for stretch and challenge that builds on the IGCSE curriculum

Years 12 & 13

A-Level Mathematics is a very popular subject and is split into three areas; Pure, Statistics and Mechanics. This allows the students to extend the range of their mathematical skills and techniques whilst developing their ability to apply their knowledge to make logical and reasoned decisions in solving problems. The three overarching themes are mathematical argument, problem solving and mathematical modelling across the specification.

A-Level Further Mathematics has two compulsory Pure units taken by all students and then we offer Decision Mathematics and a choice of either Further Statistics or Further Mechanics. The qualification is designed to allow the very best mathematicians to further develop their mathematical skills and techniques and has the same overarching themes as the Mathematics qualification.

What are the unique selling points of studying this subject at St Columba’s College?

There is a varied programme of extra curricula activities including challenge groups in all three Key Stages, and a university preparation group. Students in every year group take part in the various UKMT Maths Challenges with many qualifying for further rounds. There is also the opportunity for teams of students to take part in the UKMT team challenges held in local schools. We also run a very popular lunchtime Maths Club which is attended by multiple year groups and supported by our Subject Mentors from the Sixth Form.

The Mathematics Department is very successful in the competitions that it enters and recently two students achieved merits for the British Olympiad, a phenomenal achievement. In the Individual Maths Challenges, we achieve multiple gold, silver and bronze certificates as well as qualifications for further rounds. Many students go on to study subjects with mathematical content at university and following attendance at our University preparation club a student recently achieved a place at Cambridge to study Engineering, one of our outstanding Maths and Further Maths students.

How are the students assessed?

Years 7, 8 & 9

Students are assessed every two to three weeks by module, and then take end of term mixed topic assessments including the End of Year examination each year.

Years 10, 11, 12 & 13

Students are assessed throughout the two years by module, culminating in their public examinations. For IGCSE Mathematics this consists of two calculator papers. For Level 2 Further Mathematics there are a non-calculator and a calculator paper. For Statistics there are two calculator papers. A-Level Mathematics consists of three papers, two Pure, one Applied which includes Statistics and Mechanics. A-Level Further Mathematics consists of four papers, two Core Pure, one Decision and one of either Further Statistics or Further Mechanics.

Home Learning

Homework is set twice a week in years 7 – 11, including a mixture of written and online tasks. In years 12 & 13 students are set homework every lesson to practise the key skills learnt and are expected to do independent practice using the many online resources available.

How can parents/guardians support their child’s learning?

Students should be encouraged to use the online resources to support their learning and to make use of the support in School such as Maths Club. In Maths, practice makes perfect, so any extra work outside of the classroom is a benefit.

Useful Links

www.mymaths.co.uk, www.corbettmaths.com, www.gcsepod.com

Sixth Form

Mathematics: Sixth Form

Why choose Mathematics?

Having a proven track record in mathematical learning is increasingly in demand. Employers seek people who have successfully demonstrated their understanding of complex concepts. Technological innovation is underpinned by mathematical theory in the same way that the discipline supports and develops understanding across the sciences and business. Importantly, the skills learned during your time studying A Level mathematics – those of reasoning, logic, problem- solving and analysis – will stand you in good stead, whatever your ultimate destination.

What will you learn?

Mathematics at A Level builds on the work you have met at GCSE. All students will study pure mathematics, in which you will extend your knowledge of topics such as algebra, trigonometry, and calculus. Pure mathematics makes up two thirds of the course. You will also study the following important applied branches of mathematics. In mechanics you will learn how to describe mathematically the motion of objects and how they respond to forces acting on them, from cars in the street to satellites revolving around a planet. You will learn the important technique of mathematical modelling, where a complicated physical problem is turned into a simpler one that can be analysed and solved using mathematical methods. In statistics you will learn more about how to analyse numerical data in order to arrive at conclusions about it. You will study further the important topic of probability, on which advanced statistical ideas are based. Our department has a committed team of A Level teachers. We regularly have extra tutorials that are run by staff and mentoring by current students is also available. We also have dedicated Maths pages on our VLE where all the resources are just a click away. Your two years studying mathematics will be an enjoyable, rewarding, stimulating and empowering experience.

Maths helps us think analytically and have better reasoning abilities. Analytical thinking gives us the ability to think critically about the world around us.
Thomas, Maths student

Student view

Mathematics is truly an amazing subject which challenges and intrigues me all the time. The great thing about Maths is understanding a concept, particularly a difficult one. When I understand something in Maths, I feel a sense of satisfaction that I have mastered the problem. However, when I find it difficult, I’m determined to understand it and grasp it. Maths helps us think analytically and have better reasoning abilities. Analytical thinking gives us the ability to think critically about the world around us. Reasoning is our ability to think logically. Analytical and reasoning skills are important because they help us solve problems and look for solutions.

Thomas, Maths student

Entry Requirement

Grade 7, 8 or 9 in the Higher-Level GCSE paper. Students wishing to study Further Mathematics must have a good 8 or 9 grade at GCSE.

GCE Mathematics Examination Board
PEARSON EDEXCEL 9MA0

Sixth Form Further Maths

Further Maths: Sixth Form

Why choose Further Mathematics?

It is a challenging qualification, which both extends and deepens your knowledge and understanding beyond the standard A Level Mathematics. Students who do it often say it is their favourite subject. If you are planning to take a degree such as Engineering, Sciences, Computing, Finance/Economics, or perhaps Mathematics itself, you will benefit enormously from taking Further Mathematics. Further Mathematics qualifications are highly regarded and are warmly welcomed by universities. Students who take Further Mathematics are really demonstrating a strong commitment to their studies, as well as learning mathematics that is very useful for any mathematically rich degree.

What will you learn?

As well as learning new areas of pure mathematics you will study further applications of mathematics in mechanics, statistics and decision mathematics. Core Pure Mathematics makes up two thirds of the course. This includes introducing new topics such as matrices and complex numbers that are vital in many STEM degrees. You will also study decision mathematics and one of further mechanics or further statistics. Decision Mathematics uses the techniques of discrete mathematics to solve real life problems in many areas.

In all modules you will further develop the important technique of mathematical modelling, where a complicated real-world problem is turned into a simpler one that can be analysed and solved using mathematical methods. Our department has a specialist team of A Level further maths teachers. We regularly have extra tutorials that are run by staff and we run challenge groups that not only take part in the Senior Mathematical Challenges but also cover STEP and MAT problems and preparation. We also have dedicated Maths pages on our VLE where all the resources are just a click away. Your two years studying mathematics and further mathematics will be an enjoyable, rewarding, stimulating and empowering experience.

Working through a long, difficult problem to arrive at a correct solution which can never be disproven is one of the greatest feelings one can have. James U6 Maths student

Student view

Further Mathematics is one of the most satisfying subjects that a person can study – working through a long, difficult problem to arrive at a correct solution which can never be disproven is one of the greatest feelings one can have. The real beauty of mathematics is its very nature of being the language of the universe, everything can, essentially, be explained, described, predicted and derived with mathematics; it forms the basis for all of the hard sciences and, thus, is hugely important to humanity as a whole.

James U6 Maths student

Entry Requirement

Students wishing to study Further Mathematics must have a good 8 or 9 Grade at GCSE.

GCE Further Mathematics Examination Board
PEARSON EDEXCEL 9FM0

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King Harry Lane,
St Albans,
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AL3 4AW

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