Mathematics

Course Descriptions

Higher

Description 

The unit headings are:
  · Expressions and Functions
  · Relationships and Calculus
  · Applications
  The Higher Mathematics Course motivates and challenges learners by enabling them to select and apply mathematical techniques in a variety of mathematical and real-life situations, equipping them with the reasoning and operational skills needed to interpret and solve problems. It builds on the strength of the skills development and reasoning elements of National 5 Mathematics and introduces and develops new concepts, such as calculus and recurrence relations.

Assessment and Final Exam

There is an external examination in May.

Recommended minimum entry requirements: Grade A or B at National 5 Mathematics

Possible progression: Advanced Higher

Higher Applications of Maths

Description

The course consists of 4 units:

Finance

Statistics

Mathematical Modelling

Planning and Probability

The aim of the course is to allow pupils to gain a wider range of mathematical skills, with the majority of the work being centred around the use of computers and appropriate software.

Assessment and Final Exam

There is an SQA examination in May, as well as a project that is sent away for external marking.

Recommended minimum entry requirements: National 5 Mathematics/Applications.

Possible progression: 

Higher Mathematics

Advanced Higher

Description

The course consists of three units.
The unit headings are:

• Methods in algebra and calculus

• Applications of algebra and calculus

• Geometry, proof and systems of equations

Mathematics at Advanced Higher provides the foundation for many developments in the sciences and in technology as well as having its own intrinsic value. This 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, both practical and abstract 

• 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. The learner’s mathematical thinking will also benefit from examples of rigorous proof.

Assessment and Final Exam

 There is an external examination in May.

Recommended minimum entry requirements: Grade A or B at Higher Mathematics