S4 Maths

S4 - Mathematics
Mathematics is important in our everyday life. It equips us with the skills we need to interpret and analyse information, simplify and solve problems, assess risk and make informed decisions.
Mathematics plays an important role in areas such as science or technologies, and is vital to research and development in fields such as engineering, computing science, medicine and finance. Learning mathematics gives children and young people access to the wider curriculum and the opportunity to pursue further studies and interests.
In S4 pupils are arranged into sets based on their progress at the end of S3. The courses taught are at National 3, National 4 and National 5.

LIFESKILLS MATHEMATICS - National 3

General

Mathematics at a basic level is essential in everyday life, for example numeracy, money and basic financial awareness. National 3 will be available for pupils who have not secured Level 3 at the end of S3.

Course Structure and Content

Lifeskills Mathematics: Manage Money and Data
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
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
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.

Nature and timing of assessments

Each of the three units will be assessed in class when the work is completed. It is a
requirement that these assessments are passed. There is no external exam.

MATHEMATICS - National 4

General

Mathematics is essential in everyday life, for example numeracy, money and basic financial awareness. National 4 allows pupils to extend their knowledge and understanding from S3.

Preferred entry requirement

Secure at level 3

Course Structure and Content

Expressions and Formulae
The general aim of this Unit is to develop skills linked to straightforward mathematical expressions and formulae. These include the manipulation of abstract terms, the simplification of expressions and the evaluation of formulae. The Outcomes cover aspects of algebra, geometry, statistics and reasoning.

Relationships
The general aim of this Unit is to develop skills linked to straightforward mathematical relationships. These include solving equations, understanding graphs and working with trigonometric ratios. The Outcomes cover aspects of algebra, geometry, trigonometry, statistics and reasoning.

Numeracy
The general aim of this Unit is to develop learners’ numerical and information handling skills to solve straightforward, real-life problems involving number, money, time and measurement. As learners tackle real-life problems, they will decide what numeracy skills to use and how to apply these skills to an appropriate level of accuracy. Learners will also interpret graphical data and use their knowledge and understanding of probability to identify solutions to straightforward real-life problems involving money, time and measurement. Learners will use their solutions to make and explain decisions.

Mathematics Test (National 4)
This is the Added Value Unit of the National 4 Mathematics Course. The general aim of this Unit is to enable the learner to provide evidence of added value for the National 4 Mathematics Course through the successful completion of a test which will allow the learner to demonstrate breadth and challenge.
Breadth and challenge will be demonstrated through the use and integration of mathematical ideas and) strategies linked to straightforward mathematical expressions, formulae and relationships. This will include the application of algebraic, geometric, trigonometric, statistical and reasoning skills. Numerical skills underpin all aspects of the Course, and the ability to use these without the aid of a calculator will also be assessed.

Nature and timing of assessments

Each of the three units will be assessed in class when the work is completed. It is a
requirement that these assessments are passed before sitting the internal Added
Value exam at the end of the academic year. Final grade is pass or fail.

MATHEMATICS - National 5

General

National 5 in mathematics is necessary or desirable for many careers. It is an entry
requirement for teaching, nautical tickets and nursing and desirable for building, armed
forces, computing, accounting, engineering and many others. A deeper
understanding of mathematics is necessary for further study in statistics and science
based disciplines.

Preferred entry requirement

National 4 – evidence will be generated during early part of the course

Course Structure and Content

Expressions and Formulae
The general aim of this Unit is to develop skills linked to mathematical expressions
and formulae. These include the manipulation of abstract terms, the simplification of
expressions and the evaluation of formulae. The Outcomes cover aspects of
number, algebra, geometry and reasoning.

Relationships
The general aim of this Unit is to develop skills linked to mathematical relationships.
These include solving and manipulating equations, working with graphs and carrying
out calculations on the lengths and angles of shapes. The Outcomes cover aspects
of algebra, geometry, trigonometry and reasoning.

Applications
The general aim of this Unit is to develop skills linked to applications of mathematics.
These include using trigonometry, geometry, number processes and statistics within
real-life contexts. The Outcomes cover aspects of these skills and also skills in
reasoning.

Numeracy (National 5)
The general aim of this Unit is to develop learners’ numerical and information handling skills to solve real-life problems involving number, money, time and measurement. At this level, real-life problems will have some complex features and be set in contexts which are likely to be unfamiliar to the learner. As learners tackle real-life problems, they will decide what numeracy and information handling skills to use, and how to apply those skills to an appropriate level of accuracy. Learners will also interpret graphical data and use their knowledge and understanding of probability to identify solutions to solve real-life problems involving money, time and measurement. Learners will use their solutions to make and justify decisions.

Nature and timing of assessments

Each of the four units will be assessed in class when the work is completed. It is a
requirement that these assessments are passed before sitting the external exam at
the end of the academic year. Final grades are dependent on the external exam. The pupil will get a grade for National 5 Mathematics and a standalone award for National 5 Numeracy.