**S5/6** Courses are offered at 4 different levels of National Qualifications.

**National 4 **

The National 4 Mathematics Course enables learners to select and apply straightforward mathematical skills in a variety of mathematical and real-life situations. Learners interpret, communicate and manage information in mathematical form.

**Assessment**

Unit Assessments:Expressions and Formulae, Relationships, Numeracy

Course Assessment: Added Value Unit

**Recommended entry:**

Learners would normally be expected to have attained the skills and knowledge required by the National 3 Lifeskills Mathematics Course

**Progression:**

This Course or its Units may provide progression to other qualifications in Mathematics such as National 5 or to further study, employment or training

**National 5**

The National 5 Mathematics Course aims to motivate and challenge learners by enabling them to select and apply mathematical techniques in a variety of mathematical and real-life situations.

- develop confidence in the subject and a positive attitude towards further study in mathematics
- develop skills in manipulation of abstract terms in order to solve problems and to generalise
- allow learners to interpret, communicate and manage information in mathematical form; skills which are vital to scientific and technological research and development
- develop the learner’s skills in using mathematical language and to explore mathematical ideas
- develop skills relevant to learning, life and work in an engaging and enjoyable way

**Assessment**

Unit Assessments: Expressions and Formulae, Relationships, Applications

Course Assessment: External SQA exam consisting of

- Paper 1 – non calculator (40 marks/1 hour)
- Paper 2 – calculator (50 marks/1 hour 30 mins)

**Recommended entry:**

Pupils wishing to undertake this course of study should have achieved a pass at National 4 Mathematics.

**Progression:**

Achievement of an A or B pass in this course may provide progression to Higher Mathematics course at National 6 level.

**Higher**

The Higher Mathematics Course is suitable for learners who are secure in their attainment of the National 5 Mathematics Course.

Learners will develop and extend their skills in selecting and applying mathematical techniques in a variety of contexts and situations. Learners will be given the opportunity to become skilled in interpreting, analysing, communicating and managing information in mathematical form.

**Assessment**

Unit Assessment: Expressions and Functions, Relationships and Calculus, Applications

Course Assessment: External SQA exam consisting of

- Paper 1 – non calculator (60 marks/1 hour 10 mins)
- Paper 2 – calculator (70 marks/1 hour 30 mins)

**Recommended entry:**

Pupils wishing to undertake this course of study should have achieved an A or B pass at National 5 Mathematics.

**Progression:**

Achievement of an A or B pass in this course may provide progression to Advanced Higher Mathematics.

**Advanced Higher**

The Advanced Higher Mathematics Course is designed to enthuse, motivate, and challenge learners by enabling them to:

- select and apply complex mathematical techniques in a variety of mathematical situations
- extend and apply skills in problem solving and logical thinking
- extending skills in interpreting, analysing, communicating and managing information in mathematical form, while exploring more advanced techniques
- clarify their thinking through the process of rigorous proof

The Course develops and expands a range of mathematical skills. It allows the learner to develop further skills in calculus and algebra. Areas such as number theory (which helps keep the internet secure), complex numbers (the uses of which are ubiquitous, ranging from the solution of equations to the description of electronic circuits) and matrices (used in game theory and economics) are introduced.

**Assessment**

**Unit Assessments:**Methods in Algebra and Calculus,Applications of Algebra and Calculus, Geometry, Proof and Systems of Equations

Course Assessment: External SQA exam consisting of 1 paper (100 marks/3 hours)

**Recommended entry:**

Pupils wishing to undertake this course of study should have achieved an A or B pass at Higher Mathematics.

**Progression:**

Achievement in this course may provide progression to further study, employment or training.