Higher
What will I learn?
The course builds on the skills covered in the National 5 Mathematics course, focusing on Algebra, Trigonometry and introducing Calculus for the first time.
Algebra topics covered include the Straight Line, Sequences, Recurrence Relations, Equation of the Circle, Logarithmic and Exponential Functions.
Trigonometry topics covered include Compound and Multiple Angles, working in Radians, the Wave Function and more complex Equations.
Calculus topics covered include learning how to Differentiate and Integrate, using these skills to investigate the nature and properties of functions, and calculate definite integrals.
How will I learn?
In class pupils will learn through individual and group work, practicing new skills so they can use them easily. On doing this they will get the chance to combine these skills in real life scenarios and problem solving. Homework will also be used to practise new, and existing, skills, and allow pupils the chance to show what they have learnt.
How will I be assessed?
Pupils need to sit and pass the external SQA exam in May to gain a course award. This will be made up of 2 papers, a calculator and a non-calculator paper. Pupils can opt not to sit the SQA exam in May, instead be certificated for the Units only. For this to happen they will need to have sat and passed all 3 Unit Assessments during the course of the year.
Career Opportunities
Maths is a skill used by everyone in everyday life and is used in many jobs including Financial Services, Engineering, Transport, construction, Science, Retail, Customer Services, Tourism, catering, Healthcare, Manufacturing, Administration, ICT Publishing, Marketing, Advertising, Armed Forces, Emergency services, Working with animals, Teaching, Child care, and many, many more.
Advanced Higher
What will I learn?
The course builds on the skills covered in the Higher Mathematics course, focusing on Algebra, Calculus, Geometry, and Proofs. The importance of logical thinking and proof is emphasised throughout.
Algebra topics covered include Partial Fractions, Binomial Theorem, Complex Numbers, Sequences & Series, Matrices and Graphs of Functions.
Calculus topics covered include more complex Differential and Integral Calculus, including Differential Equations.
Geometry topics covered include Vectors, the geometry of Complex Numbers, and Proof by Induction, Counter-Example, Direct Proof, Exhaustion, Contradiction and Contrapositive.
How will I learn?
Lesson delivery will be similar to that of a lecture. Pupils will then have the opportunity to learn and practice the skills covered through individual work and discussion, so they can use them easily. Homework will also be used to practise new, and existing skills, and allow pupils the chance to show what they have learned.
How will I be assessed?
Pupils need to sit and pass the external SQA exam in May to gain a course award. This will be made up of 2 papers, a calculator and a non-calculator paper. Pupils can opt not to sit the SQA exam in May, instead be certificated for the Units only. For this to happen they will need to have sat and passed 3 Unit Assessments during the course of the year.
Career Opportunities
Maths is a skill used by everyone in everyday life and is used in many jobs including Financial Services, Engineering, Transport, construction, Science, Retail, Customer Services, Tourism, catering, Healthcare, Manufacturing, Administration, ICT Publishing, Marketing, Advertising, Armed Forces, Emergency services, Working with animals, Teaching, Child care, and many, many more.
