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Maths

Maths

The school offers Mathematics at the following levels:

Maths Department Homework

Homework in Maths takes two forms – each one is as vital as the other in helping a pupil reach their potential. Pupils should also, as a matter of course and good habit, read over their notes/jotters each night.

The homework issued by the Maths department may be :

  • to complete work for the next Maths period that had been started in class
  • formal homework which has to be handed in. Pupils will normally have up to 1 week to complete formal homework and the teacher will make the due date clear to pupils. Pupils are advised to look over and attempt the homework on the 1st night it is issued in order to have time to ask their teacher for help in class, at a lunchtime or any other convenient time.

The volume of Maths homework issued to each class will depend on year group and the individual class. It should increase each year to the point where those pupils studying National 5 and Higher should expect homework every night whether that is finishing of classwork from the textbook or more formal homework.

Extra work to do at home can easily be arranged by contacting the school and putting in a request for further extra practice work to be sent home.

S1-S3 Mathematics

In S1- S3 Mathematics aim to provide all pupils with the opportunity to learn the tools and skills required to succeed not only in their S4/5/6 certificate classes but also beyond school in wider society.

From S1 onwards pupils it is our aim to ensure that each pupils Maths class is at a level where they feel challenged but at a level that they are able to cope with.  S1 pupils are able to take part in a Numeracy Day whilst S2 pupils experience the cross-curricular House Design Project and S3 pupils all take part in a Stock Market Challenge.

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National 3 Lifeskills Mathematics

Course structure

This Course enables learners to acquire mathematical and numerical skills and apply them in a variety of real-life situations. In addition, learners will develop thinking skills and will gain experience in making informed decisions. The Course includes the freestanding Unit in Numeracy at SCQF level 3. Units are statements of standards for assessment and not programmes of learning and teaching. They can be delivered in a number of ways. 

The Course has three Units, totalling 18 SCQF credit points.

Lifeskills Mathematics: Manage Money and Data (National 3)

The general aim of this Unit is to enable learners to apply their skills, knowledge and understanding of mathematics and numeracy to manage money and data in real-life contexts. Learners will build on their mathematical and numerical skills to determine factors affecting income and expenditure, budgeting and saving. Learners will also organise, present and interpret data based on real-life contexts.

Lifeskills Mathematics: Shape, Space and Measures (National 3)

The general aims of this Unit is to enable learners to apply their skills, knowledge and understanding of shape, space and measures in real-life contexts. Learners will build on their mathematical and numerical skills by using measures and elementary geometry to tackle real-life situations.

Numeracy (National 3)

The general aim of this Unit is to develop learners’ numerical and information handling skills to solve simple, real-life problems involving number, money, time and measurement. As learners tackle real-life problems, they will use their knowledge of number processes, information handling and probability to make informed decisions.

Conditions of award

To achieve the National 3 Lifeskills Mathematics Course, learners must pass all of the required Units. National 3 Courses are not graded. 

Calculators

At most examination levels, pupils are required to have calculators.  The department strongly recommends that all pupils should purchase their own calculator and would suggest that a basic calculator with the functions +, -, ¸, x, % is appropriate for the National 3 course,

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National 4 Mathematics

Course structure

This Course will develop skills for further learning, as well as skills for life and work.

Learners will acquire and apply operational skills necessary for developing mathematical ideas through symbolic representation and diagrams. They will select and apply mathematical techniques and will develop their understanding of the interdependencies within mathematics. Learners will develop mathematical reasoning skills and will gain experience in making informed decisions. The Course includes the freestanding Unit in Numeracy at SCQF level 4.

Units are statements of standards for assessment and not programmes of learning and teaching. They can be delivered in a number of ways.

The Course has four Units, totalling 24 SCQF credit points.

Mathematics: Expressions and Formulae

In this Unit, learners will develop the knowledge and skills, appropriate to this level, that involve the representation of ideas in symbolic form and the straightforward manipulation of abstract terms. This will include simplification of expressions and evaluation of formulae covering aspects of algebra and geometry. Learners will apply operational and reasoning skills in contexts, including those taken from life and work.

Mathematics: Relationships

In this Unit, learners will develop knowledge and skills, appropriate to this level, which involve relationships in mathematics. Learners will work with straightforward relationships in algebra, geometry, trigonometry and statistics. They will develop their skills in solving equations, analysing graphs, making reasoned deductions and predictions. Learners will apply operational and reasoning skills in contexts, including those taken from life and work.

Numeracy

This Unit will allow learners to develop numerical skills in number processes and information handling in order to solve problems and to make informed decisions. These skills will be developed in contexts including those of money, time and measurement.

Mathematics: Added Value Unit

This Unit develops mathematical skills acquired from across the other three Units of the Course for use in more challenging problems, to enable the learner to apply them in unfamiliar situations & sometimes integrated ways. Learners will also be required to demonstrate breadth of learning across the Units. As an aid to meeting these aims, skills in using a calculator will be developed, and a calculator will be permitted to be in part of the assessment strategy.

Conditions of award

To achieve the Mathematics (National 4) Course, learners must pass all of the required Units, including the Added Value Unit. National 4 Courses are not graded  

Calculators

At most examination levels, pupils are required to have calculators.  The department strongly recommends that all pupils should purchase their own calculator and would suggest that a scientific calculator with the functions sin, cos and tan is appropriate for the National 4 course, 

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National 5 Mathematics

This Course will develop and extend skills for further learning, as well as skills for life and work. Learners will acquire and apply operational skills necessary for developing mathematical ideas through symbolic representation and diagrams. They will select and apply mathematical techniques and will develop their understanding of the interdependencies within mathematics. Learners will develop mathematical reasoning skills and will gain experience in making informed decisions. Units are statements of standards for assessment and not programmes of learning and teaching. They can be delivered in a number of ways.

In addition to the Course assessment, the Course includes three mandatory Units totaling 24 SCQF points.

Mathematics: Expressions and Formulae

In this Unit, learners will develop the knowledge and skills, appropriate to this level, that involve the representation of ideas in symbolic form and the manipulation of abstract terms. This will include simplification of expressions and evaluation of formula covering aspects of algebra and geometry. Learners will apply operational and reasoning skills in contexts including those taken from life and work.

Mathematics: Relationships

In this Unit, learners will develop knowledge and skills, appropriate to this level, which involve relationships in Mathematics. Learners will work with relationships in algebra, geometry, trigonometry and statistics. They will develop their skills in solving equations, analysing graphs, making reasoned deductions and predictions. Learners will apply operational and reasoning skills in contexts including those taken from life and work.

Mathematics: Applications

In this Unit, learners will develop knowledge and skills in geometry, trigonometry and statistics, appropriate to this level, which can readily be applied to solving real-life problems to make informed decisions. Learners will develop the ability to interpret information, use diagrams, and select appropriate techniques to produce a solution.

Conditions of award

To gain the award of the Course, the learner must pass all the Units as well as the Course assessment. Course assessment will provide the basis for grading attainment in the Course award. 

Calculators

At most examination levels, pupils are required to have calculators.  The department strongly recommends that all pupils should purchase their own calculator and would suggest that a scientific calculator with the functions sin, cos and tan is appropriate for the National 5 course, 

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Higher Mathematics

The Course 

For those candidates who have achieved a National 5 pass in Maths, The Higher offers the opportunity to further develop their mathematical ability. This may in due course lead to university entrance to study maths, sciences, statistics or engineering to name but a few possibilities. A Higher Mathematics qualification will undoubtedly be regarded as worthwhile by almost all employers as it suggests high levels of numeracy as well as the ability to think and reason in an ordered and logical fashion. Candidates who pass the Higher in S5 will be eligible to progress to the Advanced Higher in S6.

Entrance Requirements:

A pass at National 5 is essential for entry into the Higher class.

Course Details:

The course is broken down into three units. Candidates must study all three units to achieve a course award. The topics covered in each unit are as follows:

  • Unit 1 - Straight Line, Functions & Graphs, Composite Functions, Trigonometric

              Equations, Basic Differentiation, Recurrence Relations.

  • Unit 2 - Polynomials, Basic Integration, Trig Addition Formulae, Equation of A Circle.
  • Unit 3 - Vectors, Further Differentiation & Integration, Exponential & Logarithmic

              Functions, Wave Equations.                    

Assessment:

The course is assessed as follows:

  • At the end of each unit there is a unit test, which candidates must pass within two attempts in order to proceed on to the next stage of the course.
  • There is an external examination sat in May, which consists of two papers. Paper 1 is a non-calculator paper whereas calculators are allowed for paper 2.
  • Those who pass the external exam and all three unit tests achieve a pass from grade A to C.

General Advice.

Experience has shown that potential candidates will have to be prepared to devote at least 5 hours a week to their maths studies in order to achieve success in Higher.  

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Advanced HIgher Mathematics

The Course 

This course is ideally suited to candidates who have achieved a pass in Higher Mathematics and are contemplating a university course or employment, which will have a high level of mathematical content. The work covered by the course is equivalent to that found in many university first year courses. Successful completion of the course will give a considerable advantage in achieving success in future maths related studies.

Entrance Requirements:

A pass at level A to C in Higher Mathematics is required to enter this course. However it should be stressed that many grade C candidates have struggled to cope with the complexity of the maths at this level. Such candidates may be better suited to re-sitting the Higher Mathematics course in S6.

Course Details:

The course is broken down into three units. Candidates must study all three units to achieve a course award. The topics covered in each unit are as follows:

  • Unit 1 - Algebra, Differentiation, Integration, Properties Of Functions, Systems Of

              Equations.

  • Unit 2 - Further Differentiation, Further Integration, Complex Numbers, Sequences &

              Series, Elementary Number Theory.

  • Unit 3 - Vectors In Three Dimensions, Matrix Algebra, Further Sequences & Series,

              Differential Equations, Further Number theory.

Assessment:

The course is assessed as follows:

  • At the end of each unit there is a unit test, which candidates must pass within two attempts in order to proceed on to the next stage of the course.
  • There is an external examination sat in May, which consists of one paper. Those who pass the external exam and all three-unit tests achieve a pass from grade A to C.

General Advice.

This is an excellent course for all candidates who have aspirations to study a maths course or maths related course at university such as sciences, accountancy, engineering etc. The course will give a clear indication of what university mathematics will be like.

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Level 4/5 Personal Finance

The Course 

The ifs Certificate in Personal Finance is designed to help students consider how they will have to manage their money once they are financially independent.  They will be looking at different types of money, budgeting and legal constraints.

This will be achieved by learning about:

  • The various sources of money including earned income, inheritance, benefits and borrowing.
  • Banking including types of accounts, interest rates, saving, borrowing and automated banking tools.
  • Budgeting.
  • How to calculate and manage bills.
  • Insurance policies.
  • Spending choices and consequences.
  • Who the key people/organisations are in personal finance.

Entrance Requirements:

The course is designed to cover level 4 with possible progression to level, therefore, the entry requirement should ideally be a pass at National 3 or 4 Maths.

Course Details:

The course begins with Level 4, this is broken down in to 2 units:

  • Unit 1 - Principles of money- The aim is to increase learners’ understanding of the sources of money and the importance in looking after their money. Learners’ also study what budgeting is, how to budget and the importance of budgeting.
  • Unit 2 - Money Management- The aim of this unit is to increase learners’ knowledge of bills, how they are calculated and how best to manage these. It then progresses on to understanding the banking systems available to them. Insurance policies are also discussed and the last topic shows some real life money problems which may arise.

The course then has the possibility for progression on to level 5 within the same year if level 4 has been passed.

Level 5 consists of similar topics for units 1 and 2 with some additional topics, it also has an additional unit 3.

  • Unit 1 – Personal Finance Encounters – Same as level 4, with the addition of legal tender, calculating tax from tax codes, inheritance and Tax duty and charges on spending. 
  • Unit 2 – Money Management Solutions- Same as level 4, with the addition of understanding the benefits of paying in advance, depreciation and the sources of financial advice and limitations.
  • Unit 3 – Personal Finance Management - The aim of Personal Finance Management is to increase the learners understanding of personal finance, taking into account affordability, choice and protection.

Assessment:

Pupils will be assessed throughout the year and must gain at least 50% in each subsection to pass.

 

Downloads

Our Money Saving Tips Video   This video was made by the Personal Finance Class and gives our top tips on how to save money.

 

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