Mathematics

Mathematics

 

Teaching Staff:

  • Head of Department: Mrs S O’Neill - This email address is being protected from spambots. You need JavaScript enabled to view it.
  • Mr G O’Connor (Curriculum VP) - This email address is being protected from spambots. You need JavaScript enabled to view it.
  • Mr M Leydon (Computing/Assistant Head of Department) - This email address is being protected from spambots. You need JavaScript enabled to view it.
  • Mrs C McCabe - This email address is being protected from spambots. You need JavaScript enabled to view it.
  • Mr A Smyth - This email address is being protected from spambots. You need JavaScript enabled to view it.
  • Mr Gormley - This email address is being protected from spambots. You need JavaScript enabled to view it.
  • Mrs McGettigan (French) - This email address is being protected from spambots. You need JavaScript enabled to view it.
  • Mrs Logan - This email address is being protected from spambots. You need JavaScript enabled to view it.
  • Ms Brown (Maternity Cover) - This email address is being protected from spambots. You need JavaScript enabled to view it.
  • Ms O Convery (Head of Year/Head of ICT) - This email address is being protected from spambots. You need JavaScript enabled to view it.
  • Mr D Armstrong (Head of Computing) - This email address is being protected from spambots. You need JavaScript enabled to view it.

Learning Support Tutor:

  • Ms McKeever - This email address is being protected from spambots. You need JavaScript enabled to view it.

 

Head of Department:

Mrs S O'Neill

KS3 is spread over three years. Students are taught in sets according to their ability and have five lessons per week. Our KS3 schemes of work consolidate the core skills in the four key areas of Mathematics: Number, Algebra, Shape and Space and Data Handling. Students also have the opportunity to apply the mathematics they learn by completing Functional Skills tasks, rich tasks and investigations. Students are assessed four times throughout the year and are given targets to help them improve their work.

Course Outline:

During their first year at St Mary’s, pupils consolidate the mathematical skills acquired in primary school at Key Stage 2 by embarking on the Key Stage 3 Programme of Study. This entails work on Number, Shape and Space, Algebra, Data Handling and Financial Capability. Elements of personal finance are introduced this year to the students. Pupils will be able to explore the concepts of budgeting, making their own financial decisions, understanding how banks, credit or debit cards work and applying their knowledge and skills creatively in a range of situations.

Pupils will be encouraged to learn basic computational skills without using a calculator and practise mental arithmetic. Throughout the year students will be introduced to ICT through Mathematics with the use of their Samsung tablets, interactive white boards, online interactive lessons and tests using a computer.

Assessment:

The results of the GL assessment will be used by the school to identify those students who would benefit from additional support in Mathematics. These students will be enrolled in intervention and support programmes such as academic mentoring and additional classes. They will also be involved in personal target setting with the aim of improving their current position.

All students will also sit standardised class tests in Mathematics throughout the year. Results from these tests will be compared to pre-identified differentiated quality indicators to monitor each student’s progress and identify any further students who may also require support.

Study/Homework Requirements:

Pupils can expect to receive at least two written homework tasks per week. At least one hour per week should be spent on Mathematics homework and revision. All homework must be completed on time and to the best of the pupil’s ability. It is a requirement that all pupils have access to a calculator.

Key Points To Success:

  • Attend all classes. (If class is missed due to illness make sure to catch up on any work missed.)
  • Ask if you don’t understand.
  • Attend additional classes provided by the Mathematics department.
  • Maintain a positive attitude towards work.
  • Bring the correct equipment to school each day.
  • Ensure ‘Tablets’ are fully charged each day.

 

Aims:

All pupils in Years 11 and 12 must follow a full course in Mathematics. For the majority of pupils this will mean Key Stage 4 / GCSE Mathematics with written modular examinations taken during Years 11 and 12. However, a number of pupils also take GCSE Further Mathematics in Year 12.

For GCSE Mathematics the course followed is that described by the Statement of Attainment and Programmes of Study as laid down for Key Stage 4, and the syllabus followed is that offered by the CCEA exam board. Pupils are expected to have their own scientific calculator at the beginning of Year 11.

This Course Is Suitable If:

This GCSE is a two year unitised course providing a sound basis for progression to employment and further education, particularly GCE AS/A2 Mathematics. You will study number, algebra, geometry and measures and statistics and probability. The content that you will study is divided into six units (T1, T2, T3, T4, T5 and T6). All units (T1, T2, T3 and T4) and both of the completion tests (T5 and T6) will be available in January and June.

What Will I Study?

  • Foundation Tier T2 and T5
  • Higher Tier T3 and T6 or T4 and T6

You Will Study:
  • Unit T2 plus Unit T5
  • Unit T3 or Unit T4 plus Unit T6

All Units will cover the following areas:
  • Number and Algebra;
  • Geometry and Measures; and
  • Statistics and Probability.

Depending on your ability and performance you may be entered for a combination of units.
Every candidate has access to Grade C.

How Will I Be Assessed?

You will sit two units: one from T1, T2, T3 and T4 and one from T5 and T6. Units T1, T2, T3 and T4 will be worth 45% each while Units T5 and T6 will be worth 55% each. You may resit T1, T2, T3 or T4 only once. This allows you to monitor your progress and offers an opportunity to improve your results. Within all units you will be assessed on the functional elements of Mathematics. This means that you will need to show how you can apply Mathematical skills to questions set in wide range of contexts. There will also be questions which will assess your quality of written communication (QWC). These QWC questions will assess how you can express your solutions to the questions in clear, concise and correct mathematical language – in words or in symbol form.

Candidates entered for Higher Tier must also have studied all of the content of the Foundation Tier. Candidates may sit units from different tiers and the results from each unit will be combined to give a total uniform mark. The final grade will be determined by the total uniform mark for the better results in both the unit test and the completion test.

Foundation Tier:

  • Unit T1 - external written test with a calculator - 1 hour and 30 minutes - worth 45% or
  • Unit T2 - external written test with a calculator - 1 hour and 30 minutes - worth 45% and
  • Unit T5 - external written tests: one paper with a calculator/one without a calculator – each 1 hour - worth 55%.

Higher Tier:

  • Unit T1 - external written test with a calculator - 1 hour and 30 minutes - worth 45% or
  • Unit T2 - external written test with a calculator - 1 hour and 30 minutes - worth 45% and
  • Unit T5 - external written tests: one paper with a calculator/one without a calculator – each 1 hour - worth 55%.

What Skills Will I Gain Studying This Subject?

In studying this course you will:
  • develop knowledge, skills and understanding of mathematical methods and concepts;
  • acquire and use problem-solving strategies;
  • select and apply mathematical techniques/methods in mathematical everyday and real-world situations;
  • reason mathematically, make deductions and inferences, and draw conclusion;
  • interpret and communicate mathematical information in a variety of forms appropriate to the information and context; and
  • acquire a foundation appropriate to a further study of mathematics and of other disciplines.

Progression Routes After This Course:

The study of Mathematics at A-Level opens the door to many careers - Engineering, Computing, Architecture, Actuarial Sciences, Business and others. While being highly desirable for some of these it is essential for others, pupils should consult the school’s career officer for further details. Please note that some Universities require a minimum of a grade B for entry e.g. Queen’s University – All Business-related degrees, Engineering, Computer Science, Politics and Economics; University of Ulster – Accounting, Engineering, Managerial Finance and Investment Analysis. Pupils should consult university prospectuses for further details. Some Careers where Mathematics is useful; Actuarial Science, Aeronautical Engineering, Biochemistry, Biomedical Science, Chemical Engineering, Chemistry Computing, Dentistry, Electronic/Electrical Engineering, Teaching Mathematics, Mechanical Engineering, Medicine, Optometry, Physics, Veterinary Science.

Where Can I Find Out More?

There are a number of ways that you can find out more about Mathematics. These include:
  • CCEA microsite www.ccea.org.uk/mathematics;
  • Mathematics Teachers in St Mary's CBGS;
  • Students who have already studied the subject.

 

Head of Department:

Mrs S O'Neill

Aims:

Further Mathematics (CCEA’s old Additional Mathematics GCSE) will be available to those pupils who have consistently demonstrated a very high level of ability in Mathematics in Years 8-10. Pupils in the Further Mathematics classes will normally sit their GCSE Mathematics before they embark on completing the Further Mathematics course. The specification followed is the CCEA’s new Further Mathematics (GCSE). This course offers opportunities to build on the skills and capabilities developed through the delivery of the Key Stage 3 curriculum.
  • It caters for students who require knowledge of mathematics beyond GCSE Higher Tier Mathematics and who are capable of working beyond the limits of the GCSE Mathematics specification.
  • It is designed to broaden the experience of students whose mathematical ability is above average and who: will follow mathematical courses at AS/A-Level; will follow other courses at AS/A-Level that require mathematics beyond GCSE Higher Tier; or would like to extend their knowledge of mathematics.
  • This is now a unitised specification. This means that students have the opportunity to sit one or both units and repeat units if necessary in the first year of teaching.

This Course Is Suitable If:

This course is designed for those students who will comfortably achieve Grade A*/A at GCSE Mathematics after one year of study. Further Mathematics takes the study of Mathematics beyond the content of GCSE Higher Tier. It introduces some of the mechanics and statistics topics that students encounter in AS and A2 Mathematics and acts as a ‘stepping stone’ between GCSE and AS Level.

What Will I Study?

Paper 1 topics:

Algebraic Fractions / Completing the Square / Equations / Trigonometry / Trigonometric Equations / Solution of Triangles / Differentiation of a Basic Function / Applications of Differentiation / Integration of a Basic Function / Application of Integration / Laws of Logarithms / Solution of Index Equations / Matrix Calculations / Matrix Equations / Simultaneous Equations / Concept of a Vector / Vector Geometry.


Paper 2 topics:

Kinematics / Displacement and Velocity Time Graphs / Constant Acceleration Formulae / Vector Introduction / Introduction to I and j Vectors / Units of Force / Resolving Forces / Equilibrium / Newton’s Laws of Motion / Connected Particles / Friction and Normal Reaction / Limiting Friction / Moments / Statistical Language / Limits and Boundaries / Class Widths and Mid-Values / Age Distribution / Histograms / Measures of Central Tendency and Measures of Dispersion / Standard Deviation, Mean and Median / Results for Transformed Data / Independent and Mutually Exclusive Events / Tree Diagrams / Venn Diagrams / Conditional Probability / Bivariate Analysis / Scatter Diagrams and Correlation / Line of Best Fit / Spearman’s Rank Correlation Coefficient.


How Will I Be Assessed?

It is assessed by two examinations, completed within Year 12, and no coursework.
  • Paper 1 - Pure Mathematics (50%)
  • Paper 2 - Applied Mathematics (Mechanics & Statistics) (50%)
Both Papers are two hours long and the use of a calculator is permitted. Pupils are expected to have their own calculator.

What Skills Will I Gain Studying This Subject?

Students should be able to:
  • develop further their mathematical knowledge, skills and understanding;
  • select and apply mathematical techniques and methods in mathematical, everyday and real-world situations;
  • reason mathematically, interpret and communicate mathematical information, make deductions and inferences, and draw conclusions;
  • extend the base in mathematics from which they can progress to: higher studies in mathematics; and/or studies such as science, geography, technology or business which contain a significant requirement in mathematics beyond Higher Tier GCSE Mathematics; and
  • design and develop mathematical models that allow them to use problem solving strategies and apply a broader range of mathematics to a variety of situations.

Progression Routes After This Course:

A-Level Mathematics will prepare you for a career in any industry or industries that use mathematical knowledge and skills. It will also prepare you to take on learning and training in further and higher education. The types of courses include, for example, mathematics, actuary, and computing degrees. Pupils should consult university prospectuses and the school’s career officer for further details.

The study of Mathematics at A-Level opens the door to many careers - engineering, medicine, architecture, actuarial sciences, computing and others. While being highly desirable for some of these it is essential for others. The financial world also recognises the value of a Mathematics qualification.

Where Can I Find Out More?

There are a number of ways that you can find out more about Further Mathematics. These include:
  • CCEA microsite www.ccea.org.uk/mathematics;
  • Mathematics Teachers in St Mary’s CBGS;
  • Students who have already studied the subject.
Because of the demands of the course the number of places available is restricted (usually about 20% of the year group) and the final decision on entry to the course is based on teacher assessment and pupil results throughout Key Stage 3. Please do not hesitate to discuss this further with your Mathematics teacher.

 

Head Of Department:

Mrs S O'Neill

Students in Key Stage 4 have six/seven lessons per week depending on their set. In Year 11 and 12, students are encouraged to attend after-school booster sessions to ensure they achieve their targeted grade. The department follows the CCEA GCSE course. Students continue to develop and broaden their skills in the four key areas of Mathematics and are also introduced to Trigonometry such as Pythagoras’ theorem and the Trigonometric Ratios. Functional Skills and quality of written communication also become an integral part of the KS4 curriculum. Students continue to be assessed four times throughout the year and are given more opportunities to self-assess and evaluate their work.

GCSE Further Mathematics (CCEA’s old Additional Mathematics GCSE) will be available to those pupils who have consistently demonstrated a very high level of ability in Mathematics in Years 8-10. Pupils in the GCSE Further Mathematics classes will normally sit their GCSE Mathematics before they embark on completing the Further Mathematics course.

Course Outline:

Mathematics is a compulsory subject at Key Stage 4. Students will follow the CCEA’s revised GCSE Specification. This GCSE is a two year unitised course assessing knowledge on number and algebra, geometry and measures, statistics and probability. Units may be taken in the same or different examinations series (January or June).

Assessment:

You will sit two units: one from T1, T2, T3 and T4 and one from T5 and T6. Units T1, T2, T3 and T4 will be worth 45% each while units T5 and T6 will be worth 55% each. You may resit T1, T2, T3 or T4 only once. This allows you to monitor your progress and offers an opportunity to improve your results. Within all units you will be assessed on the functional elements of mathematics. This means that you will need to show how you can apply mathematical skills to questions set in a wide range of contexts. There will also be questions which will assess your quality of written communication (QWC). These QWC questions will assess how you can express your solution to the questions in clear, concise and correct mathematical language – in words or in symbolic form.

Personalised Learning:

The results of the Yellis assessment will be used by the school to identify those students who would benefit from additional support in Mathematics. These students will be enrolled in intervention and support programmes such as academic mentoring and additional classes. They will also be involved in personal target setting with the aim of improving their current position. All Year 11 students will also sit standardised class tests in Mathematics towards the end of each school term. Results from these tests will be compared to a target grade to monitor each student’s progress and identify any further students who may also require support.

Coursework:

There is no coursework in the CCEA GCSE Mathematics course.

Study/Homework Requirements:

Pupils can expect to receive at least two written homeworks per week. At least one hour per week should be spent on Mathematics homework and revision. All homework must be completed on time and to the best of the pupil’s ability. It is a requirement that all pupils possess a calculator.

Key Points To Success:

  • Attend all classes. If class is missed due to illness make sure to catch up on any work missed;
  • Ask if you don’t understand;
  • Attend revision classes provided by the Mathematics department;
  • Maintain a positive attitude towards work;
  • Past paper practice is vital for exam success;
  • Bring the correct equipment to school each day.
  • Ensure ‘tablet’ is fully charged each day.

 

Head Of Department:

Mrs S O'Neill

Course Outline:

The specification followed is CCEA Unitised Further Mathematics (GCSE).

Further Mathematics takes the study of Mathematics beyond the content of GCSE Higher Tier. It introduces some of the mechanics and statistics topics that students encounter in A-Level Mathematics and acts as a ‘stepping stone’ between GCSE and A-Level. Pupils in the Further Mathematics classes will sit their GCSE Mathematics in June of Year 11 and then spend Year 12 completing the Further Mathematics GCSE course.

Assessment:

It is assessed by two examinations.
  • Paper 1 - Pure Mathematics (50%)
  • Paper 2 - Applied Mathematics (Mechanics & Statistics) (50%)
Both papers are two hours long and the use of a calculator is permitted. They are available to sit in the Summer.

Coursework:

There is no coursework in the CCEA GCSE Mathematics course.

Study/Homework Requirements:

Pupils can expect to receive at least 3 written homeworks per week. At least 3 hours per week should be spent on Further Mathematics homework and revision. All homework should be completed on time and to the best of the pupil’s ability. It is a requirement that all pupils possess a scientific calculator.

Key Points To Success:

  • Attend all classes. If class is missed due to illness make sure to catch up on any work missed;
  • Ask if you don’t understand;
  • Attend revision classes provided by the Mathematics department;
  • Maintain a positive attitude towards work;
  • Past paper practice is vital for exam success;
  • Bring the correct equipment to school each day.
  • Ensure ‘tablet’ is fully charged each day.

 

Mathematics is a very popular and successful A-level subject with currently over 60 students studying A-level Mathematics. The department follows the Edexcel course giving students the option of completing their As-level after one and their A2-level after 2 years study. Some students in Year 13 have taken on A2 Further Mathematics

 

There are lots of maths apps and games out there, but many of them are not good. A lot of them ask you to do lots of calculations and encourage you to do them fast, which we know can be damaging. Here we will show you some good math apps and games that teach math visually and conceptually.

Refraction

Refraction focuses on teaching fractions and discovering optimal learning pathways for math education. Refraction lets you bend, split, and redirect lasers to power spaceships filled with lost animals! Help free as many animals as you can by expanding your knowledge of fractions.

Mathbreakers

This lets you play with math while exploring a 3-D virtual world, filled with number creatures and mathematical machines. It also helps the development of number sense conceptually.

Link to App Website: http://www.mathbreakers.com 

Wuzzit Trouble

In this app you have to release the creature from jail by turning the gears. It helps you develop number flexibility by using addition, subtraction, factors, multiplication, and othermathematical concepts.

Link to App Website: http://www.wuzzit-trouble.com 

Dragon Box

Dragon Box teaches you algebra through visuals. You solve for x and have fun doing it. It really encourages algebraic thinking.

Link to App Website: http://www.dragonboxapp.com 

Motion Math

Motion Math has several mini-games that explore number sense, fractions and other mathematical concepts through visual representations, you can really see the math ideas!

Link to App Website: http://motionmathgames.com 

 

My Maths

www.mymaths.co.uk 
Aimed at: All Key Stages.

What a fantastic resource! In this website you find anything you need, from lesson demonstrations to booster sessions and even popular television games. Ask your teacher for the school’s password.

Ask Nrich

www.nrich.maths.org 
Aimed at: All Key Stages

Another great resource. This is a forum where you can submit any really annoying maths questions, and a fellow student or one of the brainy people from Cambridge University will help you solve it. Of course, you can also answer other people's questions yourself, and this really is an excellent way of understanding a topic even more. There specific forums you might want are: Please Explain - GCSE Onwards and Upwards - A Level Nrich Talk - Anything that isn't to do with maths

E-Maths

www.emaths.org.uk 
Aimed at: Key Stages 3 and 4

If you are studying for your Assessment Recording Points or GCSEs, whatever level you are working at, then this website is a must visit! It is jammed packed full of help, resources and examples, and best of all everything is very clearly arranged and levelled so you are sure to find just the help you need. A truly excellent website!

Rainforest Maths

www.rainforestmaths.com 
Aimed at: Key Stages 3 and 4

If you are in Years 8 to 10, or you are doing the Foundation paper at GCSE, then have a look at this excellent Australian website. It has lots of interactive notes and activities for you to practise your maths and sort any problems out.

BBC BiteSize

www.bbc.co.uk/schools/gcsebitesize/maths/ 
Aimed at: All Key Stages

They say the old ones are the best, and this is still probably the best one-stop place to call in for notes, examples, interactive solutions and questions for you to have a go at yourself. Each question has its level next to it, and you can even download a big revision check-list to make sure you there will be no nasty surprises in the exam. What more could you want in a website?

Subtangent

www.subtangent.com/maths/ 
Aimed at: Key Stages 3 and 4

Lots of topics in the Revision section, and in the Test Yourself bit you can tackle the following topics - Function Machines, Number Properties, Pythagoras, and Quadratics. The questions are of an interactive nature, and are extremely well laid out. There are also some good games, for when you have earned a break from revision.

InteractiveMaths Puzzles

www.interactivestuff.org/match/math.phtml 
Aimed at: Key Stages 3

Quite a few decent puzzles covering a wide range of topics. Many puzzles rely on the use of "matching things". Good for a quick revision of topics, and it shouldn’t give you too much of a headache.

Supermathsworld

www.supermathsworld.com 
Aimed at: Key Stages 3 and 4

A collection of some of the best and most original maths games around. The website even keeps a record of your progress, and the longer you play, the more you learn.