The Scottish Higher Mathematics: Algebra, Geometry & Reasoning course provides learners with a solid foundation in core mathematical concepts and critical reasoning skills, essential for academic progression and real-world problem solving. Aligned with the Scottish Qualifications Authority (SQA) Higher Mathematics curriculum, this course supports students in mastering the key areas of algebra, functions, geometry, and logic with step-by-step guidance and practical applications.

The course begins with a focus on algebraic skills, helping learners build confidence in simplifying expressions, solving linear and quadratic equations, and working with algebraic fractions. Lessons are designed to strengthen conceptual understanding while developing fluency in mathematical operations—a vital aspect of exam success.

Building on this foundation, students explore functions and their graphical representations, learning how to interpret, transform, and model real-life scenarios using algebraic relationships. Topics such as sequences, series, and function notation are introduced with practical examples to reinforce learning and enhance mathematical modelling skills.

In the geometry and measurement module, learners study properties of 2D and 3D shapes, trigonometric relationships, coordinate geometry, and vectors. These lessons are supported by clear visuals and structured exercises, enabling students to solve spatial problems with confidence and accuracy.

The final section on mathematical reasoning sharpens logical thinking through proofs, number reasoning, and communication of complex ideas. Students are encouraged to develop a disciplined approach to problem solving, essential not only for exam success but also for future study in fields such as engineering, computer science, and economics.

Each lecture is paired with assessments to track progress, ensuring that learners can identify strengths and target areas for improvement. Whether preparing for university, apprenticeships, or technical careers, this course builds the mathematical competence and confidence required to excel.