Maths
Welcome to the Mathematics Department at Mearns Academy
Our mission is to inspire and equip learners with the skills needed to thrive in a numerate world. Through our teaching, we aim to promote respect, foster wellbeing, and encourage ambition in every pupil
Broad General Education
From S1 through to S3, all Mearns Academy pupils will participate in a Broad General Education (BGE) curriculum designed to consolidate their learning from Primary school and introduce them to new concepts and skills which will be needed as they enter S4 and their certificate level courses. An ongoing focus on developing numeracy skills is underpinned by regular classroom use of the Numeracy Ninjas programme.
While S1 classes begin as mixed ability, after focussing on several topics, such as numeracy skills and Algebra, the classes are moved into ability groups that allow the students to work within peer groups who progress at the same rate. All S1-3 classes learn the same topics throughout their time in the BGE course and movement between classes is possible. Regular assessments are conducted throughout each school year, usually after one to two topics have been covered.
The BGE course covers topics which include basic numeracy skills, properties of shapes and angles, basic statistical concepts, probability, sequences and patterns, right angled triangles, and of course, Algebra.
National 5 Maths
The National 5 Mathematics course is divided into three units:
Expressions & Formulae
Relationships
Applications
Each student is provided with a Consolidated Learning Booklet, a solutions booklet, and an examples booklet for each unit, as well as a homework booklet. This allows our students to begin revision early in the course and to revise often. All units are assessed with a formal Unit Assessment and regular progress checks are done to ensure that pupils are aware of how well they are progressing and where additional work may be needed. The final grade received by each student will be determined solely by their performance in the final SQA exam.
National 5 - Applications of Maths
Information to follow
Higher Maths
The Higher Mathematics course is designed to help hone students’ mathematical skills, to enhance their understanding of the relationships between the different mathematical disciplines, to deepen their understanding and use of mathematical language and their appreciation of the precision and rigour the subject requires. This rigour necessitates that students have achieved an acceptable level of success in the National 5 course before they begin their Higher studies.
The course concentrates on Algebra, Calculus, Trigonometry and Geometry. Each candidate in the Higher course will receive a Consolidated Learning Booklet and a solutions booklet for every unit of the course. Candidates are assessed regularly throughout the course to allow them to track their own progression. The final grade received by each student will be determined solely by their performance in the final SQA exam.
Advanced Higher
The Advanced Higher Mathematics Course is the most rigorous course offered at Mearns Academy. Students who anticipate working in a field which relies heavily on their mathematical skills are encouraged to participate in the Advanced Higher course contingent upon their performance in the Higher Course. The Advanced Higher course weaves together the separate strands of mathematical disciplines and introduces new, sometimes very esoteric, concepts to the students. Students should expect to find areas which challenge and surprise them within this course.
The course includes, but is not limited to, Calculus, Algebra, Proof and Number Theory, Matrices, Vectors and Complex Numbers. As with the other certificate level courses, students are provided with additional study materials in the form of Consolidated Learning booklets are regularly assessed throughout the course to allow them to track their progression. The final grade received by each student will be solely determined by their performance in their final SQA assessment.
Supported Study Sessions
Information on Supported Study Sessions for the Maths department is noted below but should be checked on our Supported Study webpage
N5 Applications of Maths, Mondays, 3.30pm - 4.30pm (N3:51)
N5/Higher Maths, Wednesdays 3.30pm - 4.30pm (N3:48)
Pathways / Career Links
Studying Higher Maths opens doors to a wide range of opportunities, both in further education and in various career fields. Maths is not just about numbers—it develops problem-solving, analytical thinking, and logical reasoning skills that are highly valued in many professions.
Careers Related to Higher Maths
Here are some examples of careers where a strong background in maths is essential or highly beneficial:
Engineering: Civil Engineer, Mechanical Engineer, Electrical Engineer, Software Engineer, Structural Engineer
Finance and Economics: Actuary, Accountant, Investment Analyst, Financial Planner, Economist, Risk Manager
Technology: Data Scientist, Software Developer, Artificial Intelligence Specialist, Game Developer, Cryptographer
Sciences: Physicist, Biologist, Environmental Scientist, Statistician, Chemist
Education: Secondary Maths Teacher, University Lecturer
Healthcare: Medical Physicist, Radiographer, Biostatistician, Pharmacologist
Other Fields: Architect, Urban Planner, Logistics Manager, Meteorologist, Operations Research Analyst
Further Education and University Pathways
Higher Maths is a requirement or strong recommendation for many university courses, including:
STEM Courses: Engineering (Civil, Mechanical, Electrical, Chemical), Computer Science, Physics, Mathematics, and Statistics
Business and Finance Degrees: Accounting, Business Analytics, Economics, Finance, and Management Science
Health Sciences: Medicine, Veterinary Science, Dentistry, and Biomedical Science
Architecture and Design: Architecture, Urban Planning, and Industrial Design
Examples of Pathways:
School to University Pathway:
S4: National 5 Maths
S5: Higher Maths
S6: Advanced Higher Maths (optional, depending on interest/career goals)
University Courses: BSc in Mathematics, Engineering, or Computer Science
Apprenticeship Route:
Many industries offer modern apprenticeships where maths is a key requirement, such as:Engineering apprenticeships with companies like BAE Systems or Rolls-Royce
Data analysis apprenticeships
Finance and accounting apprenticeships with firms like Deloitte or KPMG
Combined Pathway (School + College):
Progression from Higher Maths to an HNC or HND in Computing, Engineering, or Business at college, followed by university or direct employment.
How Maths Supports Career Growth
Employers in a wide range of industries value candidates with strong maths skills because it shows an ability to:
Solve complex problems efficiently
Analyse data and make evidence-based decisions
Think critically and logically
Manage budgets, costs, and resources