S5 & S6 Maths
In S5 the Higher course continues to advance algebraic skills and trigonometric knowledge as well as introducing students to the whole new world of Calculus. A good grade in Higher mathematics is highly regarded, not least for its coverage of a number of transferable skills as young people develop logical thinking and their ability to problem solve.
Only the more able students attempt this in S5, the prerequisite qualification being a Grade A at National 5. Students should not underestimate the challenge of doing Higher in S5: only about 16% of students nationally pass Higher Maths in S5, about the same proportion as get a Grade A at National 5 in S4.
Those students who fail to gain the grade they require in S5 may upgrade in S6. Some students may decide not to sit in S5 but may continue to study, at a less intensive pace, with the intention of sitting Higher Maths in S6.
Advanced Higher Pure Mathematics
Advanced Higher Pure Mathematics can be thought of as a logical continuation of your studies of Algebra, Geometry and Calculus. Some of the new topics explored include Equations of Planes and Lines in 3-dimensional space, Complex Number theory and Mathematical Proof. This course is of particular benefit to those who are contemplating continuing with their mathematical studies, including future engineers and physicists.
Advanced Higher Mathematics of Mechanics
Advanced Higher Mathematics of Mechanics is particularly good for students who would like to study Mathematics, Physics, Architecture or any type of Engineering at university. The course is two-thirds Mechanics topics and one-third Mathematical Techniques. In the Mechanics section we study Linear and Parabolic Motion before Christmas and then after Christmas we concentrate on Energy and Periodic Motion.
Advanced Higher Statistics
The Advanced Higher Statistics course provides learners with an introduction to a variety of statistical methods. During the course pupils study methods of data collection, statistical models and their assumptions and appropriate uses, interpretation of results and communication of conclusions, as well as a developing an understanding of the notion of probability.
No matter what Further or Higher Education course pupils intend to follow, at some stage they may well be required to work with statistics. The content studied would be of particular relevance to those interested in pursuing careers in the sciences, medicine, business studies, finance, geography, and psychology. Students should find that the course supports projects in subjects such as Geography, Chemistry or Biology where the collection, presentation and analysis of data is important.