Higher Mathematics

About the Course:

The course builds on the skills and practice that have been worked on during the National 5 Mathematics course.

The course will:

1. motivate and challenge learners by enabling them to select and apply mathematical techniques in a variety of mathematical situations  

2. develop confidence in the subject and a positive attitude towards further study in mathematics and the use of mathematics in employment  

3. deliver in-depth study of mathematical concepts and the ways in which mathematics describes our world  allow candidates to interpret, communicate and manage information in mathematical form.

4. devlop skills which are vital to scientific and technological research and development  

5. deepen candidates’ skills in using mathematical language and exploring advanced mathematical ideas 

Entry Requirements:

A grade A or B at National 5 is recommended for those progressing on to Higher Mathematics.

Candidates who achieve a C may require to sit the course over 2 years.

Course Content:

The course is split into key areas:

Algebraic and Trigonometric Skills - Manipulating algebraic and trigonometric expressions, identifying and sketching functions, determining composite and inverse functions, solving algebraic equations and solving trigonometric equations.

Geometric Skills - Determining vector connections and working with vectors.

Calculus Skills - Differentiating functions, using differentiation to investigate properties of functions, Integrating functions, using integration to calculate definite integrals and applying calculus to real life.

Algebraic and Geometric Skills - Applying algebra skills to rectilinear shapes, circles and graphs and modelling situations using sequences 

Assessment:

The Higher course is assessed externally in the form of a final examination that is worth 100% of the final award.

There are two papers:

Paper 1 (70 marks) - 1 hour 30 minutes

Paper 2 (80 marks) - 1 hour 45 minutes

Passing this course will also give candidates an SCQF Level 6 award in Numeracy.

As part of the course learners will complete various other class assessments throughout the year

Progression:

After completing this course candidates can progress on the following pathways:

1. Higher Applications of Mathematics

2. Advanced Higher Mathematics

Useful Links:

https://www.highermathematics.co.uk/higher-maths-whole-course/