Advanced Higher Mathematics
Advanced Higher Mathematics
In this Course, and its component Units, there will be an emphasis on skills development and the application of those skills. Pupils are required to pass all 3 units and the final exam in order to achieve a course award.
Methods in Algebra and Calculus
The general aim of the Unit is to develop advanced knowledge and skills in algebra and calculus that can be used in practical and abstract situations to manage information in mathematical form. The Outcomes cover partial fractions, standard procedures for both differential calculus and integral calculus, as well as methods for solving both first order and second order differential equations. The importance of logical thinking and proof is emphasised throughout.
Applications of Algebra and Calculus
The general aim of the Unit is to develop advanced knowledge and skills that involve the application of algebra and calculus to real life and mathematical situations, including applications to geometry. Learners will acquire skills in interpreting and analysing problem situations where these skills can be used. The Outcomes cover the binomial theorem, the algebra of complex numbers, properties of functions, and rates of change. Aspects of sequences and series are introduced, including summations, proved by induction.
Geometry, Proof and Systems of Equations
The general aim of the Unit is to develop advanced knowledge and skills that involve geometry, number and algebra, and to examine the close relationship between them. Learners will develop skills in logical thinking. The Outcomes cover matrices, vectors, solving systems of equations, the geometry of complex numbers, as well as processes of rigorous proof.
All levels of Maths courses studied in S5/6 are allocated 6 periods of study per week.
We use a wide variety of teaching approaches and resources to engage pupils fully in the learning experience. Individual, paired and group-work is encouraged through the use of:
- Clear Desk Activities, Jigsaws, Dominoes and Loop games
- Various Smartboard resources for use with a whole class or in teams
- A variety of co-operative learning strategies
ASSESSMENT ARRANGEMENTS – ADVANCED HIGHER MATHEMATICS
Unit assessments will be taken at appropriate points throughout the year with pupils being given notice of at least two weeks. An opportunity for reassessment can be given if necessary. However, a reassessment should not be required if a pupil is coping with the course and is working hard.
Pupils will sit a Prelim exam in January covering topics from two of the three units which gives practice under exam conditions. This is also used to provide an estimate grade.
External Course Exam – assessed by the SQA
The final examination is a 3 hour assessment where a calculator is permitted throughout. The standard of the final external exam is considerably above that of the unit assessments. It is therefore essential that pupils do not think that passing the units will guarantee a pass in the final exam. Regular independent study is required, approximately 1-3 hours per week, in order to be successful.
Recording & Reporting
Pupils will be given assignment and test grades in class and will receive more detailed reports in their S6 tracking and full report throughout the year. Please see the school calendar for these dates.