S1 Broad General Education
In S1 Mathematics, pupils build a strong foundation in numeracy and mathematical thinking through a wide range of engaging topics. Learners explore whole numbers, decimals, fractions, percentages, and integers to develop confidence with number operations. They are introduced to algebraic thinking and enhance their skills in information handling, including data interpretation and presentation. Geometry is brought to life through the study of 2D and 3D shapes, where learners calculate area, perimeter, and volume. This broad curriculum supports critical thinking and problem-solving, setting the stage for success in future learning.

S2 Broad General Education –
In S2 Mathematics, pupils continue to deepen their understanding of key mathematical concepts while applying them to real-life contexts. Topics include money and financial awareness, statistics for analysing and interpreting data, and further work on area—extending to circles and the use of circumference. Learners develop spatial awareness through scale drawing and explore more advanced number work, including powers and roots. They are introduced to essential mathematical principles such as Pythagoras’ Theorem and basic trigonometry, laying the groundwork for more complex problem-solving in later years.

S3 Broad General Education –In S3, pupils begin to personalise their learning pathways, with some starting to work towards National 3 Applications of Mathematics while others progress toward National 4 Mathematics.

  Those following the Applications of Mathematics route focus on practical problem-solving and numeracy for everyday contexts. Key areas include finance (such as budgeting, wages, and interest), data handling and interpretation, geometry in real-life contexts, and general numeracy skills. Pupils also gain experience in using mathematical reasoning to make informed decisions.

Learners working towards National 4 Mathematics cover a broader range of topics that prepare them for more abstract mathematical thinking. This includes number processes, fractions, percentages, algebra (expressions, equations, and formulae), geometry (angles, shapes, area, volume), trigonometry, and statistics. Emphasis is placed on problem-solving and applying mathematical techniques in both familiar and unfamiliar situations.

Mathematics is more than just a subject — it's a powerful tool that helps us make sense of the world. From managing money and measuring time to solving problems and making informed decisions, maths is at the core of everyday life. That’s why all pupils study mathematics throughout their time at school.

At Portlethen, our aim is to develop confident, curious, and capable learners who can apply mathematical thinking in real-life situations. In S1 to S3, pupils continue to build on their prior learning through a wide range of engaging activities and challenges, following the Mathematics and Numeracy Experiences and Outcomes as part of the Broad General Education. 

Maths teachers will provide regular feedback about achievement of a level, progress through a level and what is required to improve using the school’s system.

What Will Pupils Learn?

Mathematics in S1–S3 is organised into three key areas, each covering important concepts and practical skills:

1. Number, Money and Measure

This area builds strong foundations in numeracy and introduces more complex ideas:

• Estimation and rounding

• Number processes (including multiples, factors, primes)

• Powers and roots

• Fractions, decimals, and percentages

• Managing money and understanding financial decisions

• Time and measurement

• Exploring the role of maths in the world — past, present, and future

• Patterns, relationships, expressions, and equations

2. Shape, Position and Movement

Here, pupils explore the world of geometry and spatial awareness:

• Properties of 2D shapes and 3D objects

• Angles, symmetry, and transformations

3. Information Handling

This area helps pupils make sense of data and uncertainty:

• Collecting, analysing, and interpreting data

• Understanding chance, probability, and risk

Building Knowledge Over Time

Throughout the Broad General Education phase, pupils will revisit and deepen their understanding of these areas. Learning is designed to be progressive, ensuring that concepts become more familiar, skills are refined, and confidence grows with each stage.

Whether pupils are solving real-world problems, working with data, or exploring patterns in algebra, our goal is to help every learner see the value and beauty of mathematics — and to prepare them for success in future learning and life.

S1 and S2 Maths – How We Assess Learning
In S1 and S2, we use a mix of activities to help pupils understand how they're doing in maths and what their next steps are. This includes things like class discussions, peer feedback, and teacher comments—these are part of Assessment is for Learning (AiFL) and help build confidence and understanding.

Throughout the year, pupils will also complete more formal tests. These are based on Curriculum for Excellence levels (from First to Fourth Level) and cover a range of topics they’ve been learning in class. These tests help pupils get used to the kind of assessments they'll see in the senior phase and give teachers useful information to support progress.

In S4 pupils will continue their pathway.  There are two courses, pupils must choose from Mathematics and Applications of Mathematics. 

Which is the best pathway for you? See Table below.

As well as Maths and Applications of Maths, the Faculty offer the SQA Personal Finance Award.

SQA Personal Finance – Level 4 & Level 5

These SQA Personal Finance courses help young people build real-life money skills that are useful now and in the future.
At Level 4, pupils learn the basics of managing money, including how to budget, save, and make informed choices when spending.
At Level 5, they explore more detailed topics like using credit wisely, managing debt, and planning for longer-term goals.

Both levels are designed to boost confidence with money and support responsible financial decisions — skills that are valuable at school, at home, and in life.

SCQF Level 4 – Personal Finance Award

This introductory course comprises two mandatory units, each worth 6 SCQF credit points:

1. Money Management (FC63 04)
   Focuses on practical skills like budgeting, managing household expenses, and understanding financial records.

2. The Principles of Money (FC64 04)
   Introduces learners to the concept of money, its origins, and its role in daily life.

SCQF Level 5 – Personal Finance Award

Building on Level 4, this award also consists of two mandatory units, each worth 6 SCQF credit points:

1. Money Management (HN8M 04)
   Delves deeper into budgeting, saving, and understanding financial products and services.

2. Understanding Money (HN8L 04)
   Explores the broader context of money, including its impact on personal and societal levels.

Both awards are assessed through end-of-unit e-assessments via SQA's SOLAR platform. These qualifications are ideal for pupils seeking to develop essential financial literacy skills.

In progress

There could be an opportunity within S1 and S2 classes for senior pupils wishing to volunteer, this could be part of their leadership qualification or useful to add to their CV or personal statement when applying for jobs, apprenticeships, college or university courses. 

Also, in the Maths faculty there is a thriving “War Games Club” which meets after school, and the chess club which runs at lunchtime.

Maths in the Pipeline
Maths in the Pipeline is a dynamic, industry-linked project designed to show S3/S4 pupils how mathematics is used in real-life engineering and energy sector challenges. Working in teams, pupils tackle realistic tasks involving problem-solving, data analysis, estimation, geometry, and financial modelling—often linked to oil and gas field development. The project helps develop critical thinking, communication, and numeracy skills, while also giving pupils insight into how mathematics underpins modern STEM careers. It bridges classroom learning with real-world application, inspiring learners to see the relevance and power of mathematics beyond school.

STEM in the Pipeline
STEM in the Pipeline is a collaborative project that challenges senior pupils to apply their STEM knowledge in a real-world context. Working in teams, pupils take on the role of engineers and analysts to solve a realistic oil and gas field development task. They use skills in mathematics, physics, chemistry, and geography alongside software tools like Excel and industry-standard applications. The project fosters teamwork, problem-solving, communication, and project management—key skills for future STEM careers. It also offers direct links to professionals working in the energy industry, providing valuable insight into career pathways.

SMC Mathematical Challenge
The SMC Mathematical Challenge is optional for pupils at Portlethen, run by the Scottish Mathematical Council, is a national problem-solving competition designed to stretch and inspire pupils across Scotland. Open to S1–S6, the challenge encourages creative thinking, perseverance, and clear communication of mathematical ideas. Unlike traditional tests, the problems are designed to be puzzling, engaging, and open-ended—developing deeper understanding and enjoyment of mathematics. Pupils can earn certificates of merit, distinction, or even medals, and top performers may be invited to further national recognition events.

BLURB

Skills Developed Through Learning in Mathematics
Mathematics supports the development of key meta-skills that are essential for lifelong learning and success in a rapidly changing world. While engaging with mathematical concepts, pupils build:

• Critical Thinking – analysing problems, identifying patterns, and evaluating solutions logically.

• Problem Solving – approaching challenges methodically, testing strategies, and learning from mistakes.

• Numeracy – applying number sense and calculations confidently in a variety of contexts.

• Creativity – thinking flexibly and finding multiple approaches to mathematical problems.

• Self-management – setting goals, managing time effectively, and demonstrating perseverance in complex tasks.

• Collaboration – working effectively with peers to explore ideas, explain reasoning, and solve problems together.

• Communication – expressing mathematical thinking clearly through discussion, writing, and visual representation.

These skills not only enhance mathematical understanding but also prepare learners for success across the curriculum and in everyday life.