 # Maths

In KS5 we also offer a maths re-sit / foundation stage course as well as a Further Maths Course.

## In KS3 Maths, we study the following:-

• number and algebra, including – fractions, decimals, percentage and ratio
• algebraic manipulation, solving and substitution
• drawing and interpreting graphs
• shape and space which incorporates – perimeter, area and volume, understanding transformations and angles
• handling data, including – drawing and interpreting statistical graphs, understanding averages and measures of spread, understanding and interpreting probability

### Assessment

• a mid-year calculator or non-calculator written paper
• an end of year calculator or non-calculator written paper
• three internal assessment points per year on particular topics (Year 7; number work, area and perimeter, angles. Year 8; mental methods, averages, negative numbers. Year 9; sequences, graphs, skills test – on a mixture of topics).
• written and verbal feedback on each assessment coupled with individualised targets for every student
• students self-assess and peer assess their work

### Learning beyond the classroom

• attending the study support group at lunch time in D19
• using www.mymaths.co.uk
• using www.corbettmaths.com

### Teachers of KS3 Maths

• Mrs L Brewer – Head of Maths
• Mrs S Crowle – Second in Maths
• Miss E Lambden- Headteacher and Teacher of Maths
• Mr A Rickard – Assistant Headteacher and Teacher of Maths
• Mrs J Hudson – Teacher of Maths and Head of Year 7
• Mrs S Plumbridge – Teacher of Maths
• Mr P Blenkey – Teacher of Maths
• Mrs C Baxter – Teacher of Maths
• Mrs B Bennett – Teacher of Maths
• Dr S O’Mahony – Teacher of Maths
• Mr D Holmes- Teacher of Maths, Science and Head of Year 11

## In KS4 Maths, we study the following:-

Students will build on their knowledge from KS3 including:-

• number and algebra, this includes factorising into one bracket and solving simultaneous equations with one linear and one quadratic equation (higher only)
• shape and space, Pythagoras, and complex geometrical vector questions (higher only)
• handling data, relative frequency and probability using tree diagrams without replacement (higher only)

### Assessment

• written and verbal feedback on each assessment coupled with individualised targets for every student
• students self-assess and peer assess their work

Year 10

• three separate assessments across the year covering a variety of topics. Revision sheets and mymaths lists are provided to work on in lessons and at home.

Year 11

• internal mock exams- one non-calculator and one calculator
• final GCSE AQA Mathematics exam which consists of three exams, one non-calculator and two calculator. All exams are 1.5 hours long.

### Learning beyond the classroom

• completing and marking revision tasks before assessments
• attending the study support group at lunch time in D19
• using www. mymaths.co.uk
• purchasing and using the Maths Department past paper revision pack in Year 11
• purchasing the Corbett maths revision cards, these can be bought through school
• using www.corbettmaths.com

### Teachers of KS4 Maths

• Mrs L Brewer – Head of Maths
• Mrs S Crowle – Second in Maths
• Miss E Lambden- Headteacher and Teacher of Maths
• Mr A Rickard – Assistant Headteacher and Teacher of Maths
• Mrs J Hudson – Teacher of Maths and Head of Year 7
• Mrs S Plumbridge – Teacher of Maths
• Mr P Blenkey – Teacher of Maths
• Mrs B Bennett – Teacher of Maths
• Dr S O’Mahony – Teacher of Maths
• Mrs C Baxter – Teacher of Maths
• Mr D Holmes – Teacher of Maths, Science and Head of Year 11

## In KS5 Core Maths, we study the following:-

This Level 3 Certificate Mathematical Studies qualification will consolidate students’ mathematical understanding, build their confidence and competence in applying mathematical techniques to solve a range of problems and introduce them to new techniques and concepts that will prepare them for further study and future employment within a broad range of academic, professional and technical fields. Students will learn about mathematical modelling, data analysis, personal finance, critical analysis, expectation and core cost-benefit.

### Assessment

• Students are regularly assessed with homework, exam style questions and internal written assessments
• This is an AS level qualification, AQA Mathematical Studies 1350 (option B) which means the exam is at the end of Year 12.
• The exam consists of 2 papers:
• Paper 1: Core maths
• Paper 2: Option B – Critical path and risk analysis
• The assessments are 1.5 hours each
• Calculators can be used in the assessments

### Learning beyond the classroom

• completing and marking homework and revision tasks
• attending the study support group on Thursdays after school
• using www. mymaths.co.uk

### Teachers of KS5 Core Maths

• Mrs L Brewer – Head of Maths
• Mrs S Crowle – Second in Maths

## In KS5 A Level Maths, we study the following:-

The A level Mathematics course builds from GCSE level Mathematics and introduces calculus and its applications. It emphasises how mathematical ideas are interconnected and how mathematics can be applied to model situations using algebra and other representations, to help make sense of data, to understand the physical world and to solve problems in a variety of contexts, including social sciences and business. All students will be assessed on their knowledge of Pure Mathematics, Mechanics and Statistics.

Pure Mathematics

Students will build on skills from GCSE including those involving surds, indices, quadratic equations, algebraic inequalities and graphical representations.  They will learn to use differentiation and integration in various contexts, extend their knowledge of trigonometry, and work with sequences, functions and binomial expansions.

Statistics

There is a focus on exploring data as well as learning about probability distributions (normal, binomial and discrete distributions). The language of hypothesis testing is introduced to give students a fascinating insight into how statistics can help reach informed conclusions about questions such as whether a medicine is effective or a jury biased.

Mechanics

Mechanics looks at an elegantly simple mathematical model for physical situations: for example, how high does a cannon ball reach if it is fired at a certain angle at a given velocity? How much brake power must be applied to stop a runaway train? The course covers the equations of motion for systems involving constant acceleration as well as applying Newton’s laws in basic situations.

### Assessment

• At Thirsk, students do not take the AS exam at the end of Year 12, but students will sit a full mock in the Summer term which is on all the Year 12 work.
• Throughout Year 12 and 13, students will be regularly assessed by homework, written internal tests and informally by their teacher. Mock exams take place in January of Year 13.
• The A Level exam Edexcel Mathematics 9MA0 consists of 3 papers:
• Paper 1 and 2: Pure Mathematics
• Paper 3: Mechanics and Statistics
• The assessments are 2 hours each
• Calculators can be used in all the assessments.
• The booklet ‘Mathematical Formulae and Statistical Tables’ will be provided for use in the assessments.

### Learning beyond the classroom

• completing and marking homework and revision tasks
• attending the study support group on Thursdays after school
• using www. mymaths.co.uk

### Teachers of KS5 A Level Maths

• Mrs L Brewer – Head of Maths
• Mrs S Crowle – Second in Maths
• Mrs J Hudson – Teacher of Maths and Head of Year 7
• Mrs S Plumbridge – Teacher of Maths
• Mr P Blenkey – Teacher of Maths
• Mrs C Baxter – Teacher of Maths

## In KS5 Further A Level Maths, we study the following:-

### Further Core Pure Mathematics

The course introduces students to a new number system: the complex numbers, which contains not only the answer to “what number, has the property that ?”, but also poses many new and interesting questions in which geometrical skills can be applied to shed light on algebraic problems. Students will learn to use matrices both to solve simultaneous equations and to explore transformations of points and shapes on the plane, and they will learn much more about using vectors to describe objects than that encountered at GCSE level. The calculus which they encounter in their A Level mathematics course is extended and developed so that they are able to solve a much greater number of problems, including finding solutions to equations which involve rates of change. Students will learn to describe points in space using not only (x, y) coordinates but using polar coordinates, through doing so encountering a much wider array of interesting graphs and functions.

Further Statistics

There is a focus on exploring data as well as learning about probability distributions (Poisson, Chi-squared, Geometric). The language of hypothesis testing extended from the A Level. Students will also learn about the central limit theorem and the quality of tests.

Further Mechanics

In mechanics, we look at momentum in more detail, work, power and energy, springs and strings, and collisions.

### Assessment

• Students are regularly assessed with homework, exam style questions and internal written assessments
• Edexcel AS Further Mathematics 8FM0 (option E) exams are taken at the end of Year 12.

Year12

• Paper 1: Core Pure Mathematics
• Paper 2: Further Mechanics and Further Statistics
• The papers are 1hour 40 minutes each
• Calculators can be used in the assessments
• The booklet ‘Mathematical Formulae and Statistical Tables’ will be provided for use in the assessments

Year 13

The A Level exam Edexcel Further Mathematics 9FM0 (option E) consists of 4 papers:

• Paper 1 and 2: Core Pure Mathematics
• Paper 3: Further Mechanics
• Paper 4: Further Statistics
• The papers are 1.5 hours each
• Calculators can be used in the assessments
• The booklet ‘Mathematical Formulae and Statistical Tables’ will be provided for use in the assessments

### Learning beyond the classroom

• completing and marking homework and revision tasks
• attending the study support group on Thursdays after school
• using www. mymaths.co.uk

### Teachers of KS5 Further A Level Maths

• Mrs L Brewer – Head of Maths
• Mrs S Crowle – Second in Maths
• Mrs J Hudson – Teacher of Maths and Head of Year 7