At Lathallan, Maths is delivered across the full academic spectrum from basic numeracy to Advanced Higher for prospective university candidates. Learning mathematics involves many disciplines – logical and sequential thinking, being able to present solutions in a systematic and legible manner; taking pride in one’s work, learning and remembering formula, techniques and skills.
Mathematics: 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.
Mathematics: 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.
Mathematics: 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 reallife contexts.
Assessment: To gain the award of the Course, the learner must pass all of the Units as well as the External assessment that is an examination based on the above Units.
The course is divided into three units and will be studied for the duration of the academic year.
Unit 1: The straight line, Sets and functions, Graphs of functions, Trigonometry (graphs andfunctions), Recurrence relations, Differentiation.
Unit 2: Polynomials, Quadratic functions, Integration, 3-D trigonometry, Addition formulae, the circle
Unit 3: Vectors, Further calculus, Exponential and logarithmic functions, the wave function
Assessment: Pupils need to achieve passes in the internal assessment of all 3 units (NABs) stated above. The final exam is split into two papers non-calculator and calculator. The final grade is determined by the mark gained by the combined mark in the two papers.
The syllabus is designed to build upon and extend candidate's learning in the areas of algebra, geometry and calculus.
Mathematics 1 and Mathematics 2 are progressive and continue the development of algebra and calculus from Higher. Further progression and extension of such mathematics is offered through Mathematics 3.
The main topics covered are: Binomial theorem, partial fractions, matrices, sequences and series, complex numbers, methods of proof, vectors, differentiation, integration and differential equations.