The department consists of seven working classrooms with a designated computer suite in the department base.
Each classroom is equipped with an Interactive Whiteboard used in conjunction with regular black/whiteboards.
There are designated display areas in each classroom as well as the Maths Department open area.
Mathematics is rich and stimulating. It engages and fascinates learners of all ages, interests and abilities. Learning mathematics develops logical reasoning, analysis, problem-solving skills, creativity, and the ability to think in abstract ways. It uses a universal language of numbers and symbols, which allows us to communicate ideas in a concise, unambiguous and rigorous way.
Mathematics equips us with many of the skills required for life, learning and work. Understanding the part that mathematics plays in almost all aspects of life is crucial. This reinforces the need for mathematics to play an integral part in lifelong learning and be appreciated for the richness it brings.
Using mathematics enables us to model real-life situations and make connections and informed predictions. It equips us with the skills we need to interpret and analyse information, simplify and solve problems, assess risk and make informed decisions.
Pupils will be involved in the following types of tasks:-
In S1-3 the Mathematics Department delivers courses which contribute to the broad general education in line with the principals of the Curriculum for Excellence.
In S4-6 the Mathematics Department deliver a suite of courses designed to prepare pupils for presentation at National 3 Lifeskills Mathematics, National 4/5 Lifeskills Mathematics, National 4, National 5, Higher and Advanced Higher Mathematics as appropriate to their proven ability.
Pupil Profiles.
Each pupil will build up a portfolio of work as they progress through the department. This will consist of unit assessments, course work tasks, self evaluations and pupil and teachers targets.
Lifeskills Mathematics
National 3
Background
Mathematics is rich and stimulating. It engages and fascinates learners of all ages, interests and abilities. This course builds on the experiences and outcomes of mathematics and numeracy delivered through the Broad General Education to equip pupils with the mathematical skills required for life, learning and work.
They will develop important skills, attitudes and attributes, including:
They will also have the opportunity to acquire and develop the attributes and capabilities of the four capacities, including:
This course enables learners to acquire mathematical and numerical skills and apply them in a variety of real-life situations. In addition, learners will develop thinking skills and will gain experience in making informed decisions.
Aims
The aims of the course are to enable pupils to:-
Processes
Pupils will be involved in the following types of tasks:-
Clientele
This course is for pupils who want to develop their mathematical and numerical skills. Pupils will have experienced learning across the Mathematics Experiences and Outcomes at level 2 and 3 in S3. A strong performance in the National 3 Lifeskills course should provide a good background for employment and/or training and may allow pupils to progress to a National 4 qualification in Mathematics in S5.
Outcomes
Pupils will be able to:-
Units of Work
Manage Money and Data
Shape, Space and Measure
Numeracy
Assessment
These units are internally assessed against the requirements shown in unit specifications.
They will be assessed as pass/fail within centres.
SQA will provide rigorous external quality assurance, including external verification, to ensure assessment judgments are consistent and meet national standards.
National 4 /National 5 Lifeskills
The National 4 / National 5 Lifeskills Mathematics Course enables learners to apply mathematical ideas and strategies to managing finance, statistics, geometry and measurement in real-life contexts.
The mathematical skills within this Course are underpinned by numeracy and are designed to develop learners’ skills in mathematical reasoning relevant to learning, life and work. This is likely to run as a Bi-level class with pupils being directed towards the correct level according to their progress in the reasoning skills developed.
The Courses aim to:
Information about typical learners who might do the Course
National 4 Lifeskills would be suitable for learners who have attained the National 3 Lifeskills Mathematics Course or who have passed National 4 Maths and are looking for an alternative Mathematics Course to help develop reasoning skills. National 5 Lifeskills would be suitable for learners who have attained National 4 Maths or National 4 Lifeskills. It would be particularly suitable for learners who can respond to a level of challenge, and who can apply what they have learned in new and unfamiliar situations.
Unit Assessments
Lifeskills Mathematics: Geometry and Measures (National 4 & 5)
Learners will be required to provide evidence of using reasoning and geometric skills linked to real-life contexts by drawing on the following:
The general aim of this Unit is to develop skills that focus on the use of mathematical ideas and valid strategies that can be applied to geometry and measurement in real-life contexts which may be new to the learner. This includes skills in analysing and using geometry and measures to determine and justify solutions to real-life problems.
Lifeskills Mathematics :Managing Finance and Statistics (National 4 & 5)
Learners will be required to provide evidence of using reasoning and financial skills / statistical linked to real-life contexts by drawing on the following:
The general aim of this Unit is to develop skills that focus on the use of mathematical ideas and strategies that can be applied to managing finance and statistics in real-life contexts. This includes using skills in budgeting as well as skills in organising and presenting data, to explain solutions and/or draw conclusions Learners will use their solutions to make and justify decisions.
Numeracy (National 4 & National 5)
The general aim of this Unit is to develop learners’ numerical and information handling skills to solve real-life problems involving number, money, time and measurement. As learners tackle real-life problems, they will decide what numeracy skills to use and how to apply these skills to an appropriate level of accuracy.
At this level, real-life problems may have some complex features and be set in contexts which are likely to be unfamiliar to the learner. Learners will also interpret graphical data and use their knowledge and understanding of probability to identify solutions to real-life problems involving money, time and measurement. Learners will use their solutions to make and explain decisions.
All units are internally assessed against the requirements shown in unit specifications.
They will be assessed as pass/fail within centres.
Course Assessment
The Course assessment for National 5 Lifeskills will consist of two question papers.
Paper 1 – Non calculator – 35 marks- 50 minutes.
Paper 2 – Calculator – 55 marks – 1 hour 40 minutes.
These question papers will set and marked by the SQA, and conducted in school under exam conditions. The course award will be graded A – D
The Course assessment for National 4 Lifeskills will consist of two question papers.
Paper 1 – Non calculator – 35 marks- 50 minutes.
Paper 2 – Calculator – 55 marks – 1 hour 40 minutes.
This test will be set and marked within the school and will be awarded as pass/fail.
SQA will provide rigorous external quality assurance, including external verification, to ensure assessment judgments are consistent and meet national standards.
Conditions of award
To gain the award of the Course, the learner MUST pass all of the Units as well as the Course assessment
National 4 Mathematics
The National 4 Mathematics Course enables learners to select and apply straightforward mathematical skills in a variety of mathematical and real-life situations. Learners interpret, communicate and manage information in mathematical form. Learners will use their solutions to make and explain decisions.
The course aims to:
Information about typical learners who might do the Course
The Course would be suitable for those who have made strong progress in the National 3 Lifeskills Mathematics Course, or have equivalent qualification or experience.
Unit Assessments
Mathematics: Expressions and Formulae (National 4)
Formulae for circumference, area and volume
The general aim of this Unit is to develop skills linked to straightforward mathematical expressions and formulae. These include the manipulation of abstract terms, the simplification of expressions and the evaluation of formulae.
Mathematics: Relationships (National 4)
The general aim of this Unit is to develop skills linked to straightforward mathematical relationships. These include solving equations, understanding graphs and working with trigonometric ratios.
Numeracy (National 4)
All units cover the skills of reasoning
National 5 Mathematics
The Course aims to
Information about typical learners who might do the Course
This would be a suitable Course for learners who have made strong progress in the National 4 Mathematics Course, who can respond to challenging situations and can apply what they have learned in new and unfamiliar situations.
Unit Assessments
Mathematics: Expressions and Formulae (National 5)
The general aim of this Unit is to develop skills linked to mathematical expressions and formulae. These include the manipulation of abstract terms, the simplification of expressions and the evaluation of formulae.
Mathematics: Relationships (National 5)
The general aim of this Unit is to develop skills linked to mathematical relationships. These include solving and manipulating equations, working with graphs and carrying out calculations on the lengths and angles of shapes.
Mathematics: Applications (National 5)
The general aim of this Unit is to develop skills linked to applications of mathematics. These include using trigonometry, geometry, number processes and statistics within real-life contexts.
All Units cover skills in reasoning.
All units are internally assessed against the requirements shown in unit specifications.
They will be assessed as pass/fail within centres.
Course Assessment
The Course assessment will consist of two question papers.
Paper 1 – Non calculator – 40 marks- 1 hour.
Paper 2 – Calculator – 50 marks – 1 hour 30 minutes.
These question papers will set and marked by the SQA, and conducted in school under exam conditions. The course award will be graded A - D
Conditions of award
To gain the award of the Course, the learner MUST pass all of the Units as well as the Course assessment.
Higher Mathematics
The Course aims to:
Information about typical learners who might do the Course
This Course is suitable for learners who are secure in their attainment of the National 5 Mathematics Course. We would recommend it to pupils who have gained at least a grade A or grade B.
Learners will develop skills in selecting and applying mathematical techniques in a variety of mathematical situations. These skills will enable progression to further learning and to employment. Learners will experience in-depth study of the ways in which mathematics describes our world, and become skilled in interpreting, analysing, communicating and managing information in mathematical form.
Unit Assessments
Mathematics: Expressions and Functions (Higher)
The general aim of this Unit is to develop knowledge and skills that involve the manipulation of expressions, the use of vectors and the study of mathematical functions. The Outcomes cover aspects of algebra, geometry and trigonometry, and also skills in mathematical reasoning and modelling.
Mathematics: Relationships and Calculus (Higher)
The general aim of this Unit is to develop knowledge and skills that involve solving equations and to introduce both differential calculus and integral calculus. The Outcomes cover aspects of algebra, trigonometry, calculus, and also skills in mathematical reasoning and modelling.
Mathematics: Applications (Higher)
The general aim of this Unit is to develop knowledge and skills that involve geometric applications, applications of sequences and applications of calculus. The Outcomes cover aspects of algebra, geometry, calculus, and also skills in mathematical reasoning and modelling.
All units are internally assessed against the requirements shown in unit specifications.
They will be assessed as pass/fail within centres.
Course Assessment
The Course assessment for Mathematics will consist of two question papers.
Paper 1 – Non calculator – 60 marks- 1 hour 10 minutes.
Paper 2 – Calculator – 70 marks – 1 hour 30 minutes.
These question papers will set and marked by the SQA, and conducted in school under exam conditions. The course award will be graded A – D
Conditions of award
To gain the award of the Course, the learner must pass all of the Units as well as the Course assessment.
Advanced Higher Mathematics
As with all mathematics Courses, Advanced Higher Mathematics aims to build upon and extend candidates' mathematical skills, knowledge and understanding in a way that recognises problem solving as an essential skill and enables them to integrate their knowledge of different aspects of the subject.The syllabus is designed to build upon and extend candidates' learning in the areas of algebra, geometry and calculus. The Advanced Higher Course extends learners’ mathematical knowledge in algebra, geometry and calculus. It includes matrix algebra, complex numbers and vectors and formalises the concept of mathematical proof.
Advanced Higher Mathematics emphasises the need for candidates to undertake extended thinking and decision making, to solve problems and integrate mathematical knowledge. The course offers candidates, in an interesting and enjoyable manner, an enhanced awareness of the range and power of mathematics. The Advanced Higher Course is designed to articulate with the knowledge and skills developed in Higher Mathematics.
Information about typical learners who might do the Course
This Course is suitable for learners who have passed Higher Mathematics. We would recommend it to pupils who have gained at least a grade A or grade B.
Unit Assessments
Mathematics 1(Advanced Higher maths)
Mathematics 2(Advanced Higher maths)
Mathematics 3(Advanced Higher maths)