Links

Mathematics staff

S1 Course overview

N3 Applications Course overview

BGE General overview

S2 Course overview

N3 resources

Qualification pathways

N5 Mathematics Course overview

N4 Applications Course overview

Extra-curricular activities

N5 Maths resources

N4 Apps resources

Competitions/events

Higher Course overview

N5 Applications Course overview

Equipment

Higher resources

N5 Apps resources

S1/S2 resources

Advanced higher resources

Higher Applications overview

Mathematics Staff

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MATHS DEPARTMENT TEAM (FROM LEFT TO RIGHT)

Mr G Stewart - Teacher of Mathematics

Miss N Weatherston - Teacher of Mathematics

Miss L Hamilton - Teacher of Mathematics

Mrs S Murray - Faculty Head of Mathematics, Numeracy & Computing

Mrs K Hill - Teacher of Pupil Support (Numeracy)

Mr M Jones - Teacher of Mathematics

Qualification pathways

Click here to see our qualification pathways for Mathematics.

Extra-Curricular Activities

To be confirmed.

Equipment

The department provides jotters and various other equipment and resources for use in and out of class, but all pupils are expected to bring a pencil and have their own calculator.

Competitions/Events

We encourage pupils to participate in mathematical activities/competitions including:-

  • Scottish Mathematical Challenge
  • United Kingdom Maths Challenge (S1/S2)
  • North Ayrshire Council Enterprising Maths Competition
  • Sumdog Competitions
  • World Maths Day
  • IET Faraday Challenge

Course overview - Mathematics

BGE in general

Mathematics symbols

All pupils will continue to work through the Curriculum for Excellence (CfE) Levels for mathematics and numeracy as part of their Broad General Education.

This follows on from their work done in primary school, where it is anticipated that most pupils will have covered and be secure in Second Level mathematics and numeracy by the end of Primary 7.

The following guide will help form an understanding of how most pupils are expected to progress in mathematics in the Junior Phase (S1 to S3):

  • Secure at Third Level – by December of S2.
  • Working on Fourth Level experiences and outcomes – by April of S3.

Notes: Some pupils may be reported as being secure at Fourth Level before the end of S3. Some pupils may need more time to become secure at Third Level.

Overview

Pupils in S1, S2 and S3 follow a course of study which allows various opportunity to progress through the Curriculum for Excellence Numeracy and Mathematics experiences and outcomes of Broad General Education and they are assessed using the Benchmarks for Numeracy and Mathematics.

At this level learning in mathematics enables young people to:

  • develop a secure understanding of the concepts, principles and processes of mathematics and apply these in different contexts, including the world of work
  • engage with more abstract mathematical concepts and develop important new kinds of thinking
  • understand the application of mathematics, its impact on our society past and present, and its potential for the future
  • develop essential numeracy skills which will allow them to participate fully in society
  • establish firm foundations for further specialist learning
  • understand that successful independent living requires financial awareness, effective money management, using schedules and other related skills
  • interpret numerical information appropriately and use it to draw conclusions, assess risk, and make reasoned evaluations and informed decisions
  • apply skills and understanding creatively and logically to solve problems, within a variety of contexts
  • appreciate how the imaginative and effective use of technologies can enhance the development of skills and concepts.

 

S1 Course - Mathematics

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S1 follows five programs over their year:-

Program 1 - Whole numbers

Program 2 - Statistics & Symmetry

Program 3 - Negatives, coordinates and algebra

Program 4 - Decimals, money and proportion

Program 5 - Fractions, percentages, ratio and probability

 

 

S2 Course - Mathematics

S2 follows five programs over their year:-

Program 6 - Perimeter, volume, conversion, proportion and circle

Program 7 - Time, multiples, factors, primes, powers, roots, Pythagoras

Program 8 - Expressions, equations, patterns, sequences and straight line

Program 9 - Angles, bearings, scale and trigonometry

 

 

National 3 Applications of Mathematics

Course Overview

The Course, including the freestanding Numeracy Unit at SCQF level 3, motivates and challenges learners to apply mathematical and numerical skills in real-life contexts. It covers number, money, shape, space, and measurement, helping learners interpret data and solve everyday problems. The Course builds confidence, develops skills for learning, life, and work, and encourages a positive attitude toward further study in mathematics and related areas.

Numeracy (N)

  • 1.1 Selecting and using appropriate numerical notation and units
  • 1.2 Selecting and carrying out calculations
  • 1.3 Recording measurements using a straightforward scale on an instrument
  • 1.4 Interpreting the measurements and the results of calculations to make decisions
  • 1.5 Explaining decisions based on the results of calculations
  • 2.1 Extracting and interpreting data from at least one simple graphical form
  • 2.2 Making and explaining decisions based on the interpretation of data
  • 2.3 Making and explaining decisions based on probability

 

Manage Money and Data (MMD)

  • 1.1 Identifying factors affecting income and expenditure
  • 1.2 Preparing a simple budget
  • 1.3 Developing a basic savings plan
  • 1.4 Making a decision based on the best deal
  • 2.1 Organising primary data
  • 2.2 Carrying out simple calculations to compare data
  • 2.3 Representing data in an appropriate format
  • 2.4 Interpreting simple data to draw conclusions

 

Shape, Space and Measures (SSP)

  • 1.1 Calculating and using the perimeter and area of a regular 2D shape
  • 1.2 Calculating and using the volume of a cuboid
  • 1.3 Giving or following directions
  • 1.4 Working with simple patterns
  • 2.1 Selecting and using appropriate units of measurement
  • 2.2 Stating and using simple formulae expressed in words or symbols
  • 2.3 Interpreting simple scale drawings
  • 2.4 Applying a basic scale factor
  • 2.5 Calculating time intervals to manage tasks or activities

 

Course Structure

 

The course consists of three units:

  • Manage Money & Data
  • Shape, Space & Measure
  • Numeracy

For each unit there is a Unit Assessment - this will test competency.


Course Assessment

To achieve the National 3 Lifeskills Mathematics Course, learners must pass all of the required Unit Assessments. Units are assessed as pass or fail by the school (following SQA external quality assurance to meet national standards).

National 3 Courses are not graded and there is no final exam in the SQA Exam Diet in May.

Assessment (or ‘evidence of learning’) may be gathered through class work, tests, oral evidence, computer-generated class work, photographs. Learners may use these to build a portfolio to show their progress through the Units.


Progression

On successful completion of this Course, the learner could progress to embarking on the National 4 Applications of Mathematics course.

National 4 Applications of Mathematics

Course Overview

The purpose of the National 4 Applications of Mathematics Course is to motivate and challenge learners by enabling them to think through real-life situations involving mathematics and to form a plan of action based on logic.

The Course develops confidence in being able to handle mathematical processes and information in a range of real-life contexts. The Course also enables learners to make informed decisions based on data presented in a variety of forms.

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.

The Course aims to:

  • motivate and challenge learners by enabling them to select and apply mathematical skills to tackle straightforward real-life problems or situations
  • develop the ability to interpret straightforward real-life problems or situations involving mathematics
  • develop confidence in the subject and a positive attitude towards the use of mathematics in straightforward real-life situations
  • apply mathematical operational skills with an appropriate degree of accuracy
  • use mathematical reasoning skills to assess risk, draw conclusions and explain decisions
  • communicate mathematical information in an appropriate way

In addition, learners will have the opportunity to develop generic and transferable skills for learning, skills for life and skills for work. These include numeracy, thinking skills, literacy and employability.

Unit and Content Information

NUMERACY

The general aim of this Unit is to develop learners’ numerical and information handling skills to solve straightforward, 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 those skills to an appropriate level of accuracy. Learners will also interpret graphical data and use their knowledge and understanding of probability to identify solutions to straightforward real-life problems involving money, time and measurement. Learners will use their solutions to make and explain decisions.

Learners who complete this Unit will be able to:

  • Use numerical skills to solve straightforward, real-life problems involving money/time/measurement
  • Interpret graphical data and situations involving probability to solve straightforward, real-life problems involving money/time/measurement

This Unit is a mandatory Unit of the National 4 Mathematics Course and the National 4 Applications of Mathematics Course and is also available as a free-standing Unit. The Unit Specification should be read in conjunction with the Unit Support Notes, which provide advice and guidance on delivery, assessment approaches and development of skills for learning, skills for life and skills for work. Exemplification of the standards in this Unit is given in Unit Assessment Support.

 

MANAGING FINANCE & STATISTICS

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 straightforward 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. The Outcomes cover aspects of finance and statistics in real-life situations requiring mathematical reasoning.

Learners who complete this Unit will be able to:

  • Use reasoning skills and financial skills linked to straightforward real-life contexts
  • Use reasoning skills and statistical skills linked to straightforward real-life contexts

 

GEOMETRY & MEASURES

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 geometry and measurement in straightforward real-life contexts. This includes using skills in interpreting and in using shape, space and measures to determine and explain solutions. The Outcomes cover aspects of geometry and measurement in real-life situations requiring mathematical reasoning.

Learners who complete this Unit will be able to:

  • Use reasoning skills and measurement skills linked to straightforward real-life contexts
  • Use reasoning skills and geometric skills linked to straightforward real-life contexts

National 5 Applications of Mathematics

Course rationale

National Courses reflect Curriculum for Excellence values, purposes and principles. They offer flexibility, provide more time for learning, more focus on skills and applying learning, and scope for personalisation and choice.

Every course provides opportunities for candidates to develop breadth, challenge and application. The focus and balance of assessment is tailored to each subject area.

Mathematics engages 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.

The National 5 Applications of Mathematics course explores the applications of mathematical techniques and skills in everyday situations, including financial matters, statistics, and measurement. The skills, knowledge and understanding in the course also support learning in other curriculum areas, such as technology, health and wellbeing, science, and social studies.

Purpose and aims

The purpose of the National 5 Applications of Mathematics course is to motivate and challenge candidates by enabling them to think through real-life situations involving mathematics and to form a plan of action based on logic.

The mathematical skills within this course are underpinned by numeracy, and designed to develop candidates’ mathematical reasoning skills in areas relevant to learning, life and work. The course aims to:

  • motivate and challenge candidates by enabling them to select and apply mathematical techniques in a variety of real-life situations
  • develop the ability to analyse real-life problems or situations with some complex features involving mathematics
  • develop confidence in the subject and a positive attitude towards the use of mathematics in real-life situations
  • develop the ability to select, apply, combine and adapt mathematical operational skills to new and unfamiliar situations in life and work to an appropriate degree of accuracy
  • develop the ability to use mathematical reasoning skills to generalise, build arguments, draw logical conclusions, assess risk, and make informed decisions
  • develop the ability to use a range of mathematical skills to analyse, interpret and present a range of information
  • develop the ability to communicate mathematical information in a variety of forms
  • develop the ability to think creatively and in abstract ways

 

Component Marks Duration
Question paper 1 (non-calculator) 35 50 minutes
Question paper 2 55 1 hour and 40 minutes

 

 

COURSE OVERVIEW AT IRVINE ROYAL

Course information (Irvine Royal)

National 5 Mathematics

Course Overview

The National 5 Mathematics Course builds on the principles and practice of experiences and outcomes of Mathematics and Numeracy. Mathematics is important in everyday life, allowing us to make sense of the world around us and to manage our lives. 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.

Component Marks Duration
Question paper 1 (non-calculator) 40 1 hour
Question paper 2 50 1 hour and 30 minutes


Unit and Content Information

Mathematics: Expressions and Formulae
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. The Outcomes cover aspects of number, algebra, geometry and reasoning.

Mathematics: Relationships
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. The Outcomes cover aspects of algebra, geometry, trigonometry and reasoning.

Mathematics: Applications
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. The Outcomes cover aspects of these skills and also skills in reasoning.


Course Assessment

The National 5 Mathematics course is assessed and graded (A-D) with a final end of year exam in the SQA Exam diet in May each year.

The course assessment will be structured as follows:

Component Number of marks Duration Weighting
Question Paper 1
(non-calculator)
50 marks 75 minutes 45%
Question Paper 2 (calculator) 60 marks 110 minutes
(1 hour 50 minutes)
55%
Total: 110 marks 185 minutes
(3 hours 5 minutes)
 

 

Homework

Homework plays a vital role in the successful completion of the course. Pupils will be expected to complete all set homework, and organise their time to revise topics regularly. Self study skills are important when embarking on a National Qualification course. A scientific calculator is also required for this course.


Progression

On successful completion of this Course, the learner could progress to embarking on the Higher Mathematics course.

 

Higher Applications Course Overview

The Higher Applications course prepares learners for modern careers.

Learning skills on spreadsheets and industry standard statistics software give great employability skills. Transferrable planning and project management skills are built into the course. Financial skills developed at National 5 are expanded upon to broaden their use. Research Project gives opportunities for personal enquiry into interesting topics and a chance to hone existing research skills.

Estimation and mathematical modelling skills are developed through use of numeracy skills and builds on knowledge from National 5.

The course is ideally suited for pupils going into: Finance, Statistics, Management, Insurance etc.

 

Recommended Entry
A–C National 5 Applications or National 5 Maths
Course Outline
Unit 1 – Planning and Decision Making
Unit 2 – Finance
Unit 3 – Statistics
Unit 4 – Mathematical Modelling
Research Project
Course Assessment
Project (27%) – Due April
Exam (73%) – SQA exam diet (usually May)
Homework
Homeworks will be issued monthly (as appropriate) to gauge progress and aid revision.

Higher Mathematics

Course Overview

The Higher Course in Mathematics develops learners’ mathematical rigour and the ability to use precise and concise mathematical language assumes a particular importance at this stage.

Candidates who complete a Higher Mathematics course successfully are expected to have a competence and a confidence in applying mathematical techniques, manipulating symbolic expressions and communicating with mathematical correctness in the solution of problems.

The course has obvious relevance for candidates with interests in fields such as commerce, engineering and science where the mathematics learned will be put to direct use.

Component Marks Duration
Question paper 1 (non-calculator) 55 1 hour and 15 minutes
Question paper 2 65 1 hour and 30 minutes

 

Recommended Entry

National 5 Mathematics pass at A – C.

 

Course Outline

Unit 1
Functions and Graphs; Exponentials and Logarithms; Trigonometric Expressions; Vectors
Unit 2
Polynomials; Trigonometric Equations; Differentiation; Integration
Unit 3
Straight Line; Circles; Recurrence Relations; Further Differentiation and Integration; Further Trigonometry
 

Course Assessment

This course is assessed and graded (A-D) with an end of course examination set by SQA in the exam diet in May.


Homework

Homework plays a vital role in the successful completion of the course. Pupils will be expected to complete all set homework, and organise their time to revise topics regularly. Self study skills are important when embarking on a National Qualification course. A scientific calculator is also required for this course.

 

Key Resources - Mathematics

S1/S2

Resource Link
Numeracy Ninjas https://www.numeracyninjas.org/
Maths Workout https://www.mathsworkout.co.uk/
S1/S2 Free Maths Courses https://www.national5maths.co.uk/s1-s2-courses/
Maths Revision – Main Site https://mathsrevision.com/
Dr Frost Maths – YouTube Channel https://www.youtube.com/channel/UCsIq1iWdSftdelGwJLiyjwQ
Sumdog https://www.sumdog.com/

 

BBC Bitesize:

Level BBC Bitesize Link
Level 1 https://www.bbc.co.uk/bitesize/subjects/zpdj6sg
Level 2 https://www.bbc.co.uk/bitesize/subjects/zpdj6sg
Level 3 https://www.bbc.co.uk/bitesize/subjects/zfcqn39
Level 4 https://www.bbc.co.uk/bitesize/subjects/zsrjpv4

 

In S1-S2 this year and want to improve your Maths Skills?

Click below to be directed to various useful powerpoints, worksheets, homeworks, interactive learning experiences and much more...

Level BBC Bitesize Revision Link
1st Level Revision https://www.bbc.com/bitesize/subjects/zpdj6sg
2nd Level Revision https://www.bbc.com/bitesize/subjects/znwqtfr
3rd Level Revision https://www.bbc.com/bitesize/subjects/zfcqn39
4th Level Revision https://www.bbc.com/bitesize/subjects/zsrjpv4

 

The Irvine Royal Academy Mathematics Department encourage pupils to regularly practice their mathematical skills at home and www.mathsworkout.co.uk is a great resource for extra practice.

The school log in details are:- 

Username: irvinera
Password: ratio

National 3 Applications of Mathematics

Resource Link
SQA National 3 Mathematics https://www.sqa.org.uk/sqa/81287.html
National 3 Lifeskills Maths – Whole Course https://www.national5maths.co.uk/free-n3-lifeskills/
Maths Revision – National 3 Applications https://www.mathsrevision.com/index_files/NAT3Applications.htm
LHS National 3 Maths (Weebly) http://lhsnational3maths.weebly.com/
Maths Revision – Main Site https://mathsrevision.com/

National 4 Applications of Mathematics

Resource Link
Maths.scot – National 4 Applications https://www.maths.scot/national-4-apps
Scruffs Shetland Maths http://www.scruffs.shetland.co.uk/
Maths Revision – National 4 Applications http://www.mathsrevision.com/index_files/N4_Applications.htm

National 5 Applications of Mathematics

Resource Link
National 5 Lifeskills Maths – Whole Course https://www.national5maths.co.uk/n5-lifeskills-maths/
Dynamic Maths Question Bank https://www.dynamicmaths.co.uk/QuestionBank/index.php

National 5 Mathematics

Resource Link
Dynamic Maths Question Bank https://www.dynamicmaths.co.uk/QuestionBank/index.php
SQA National 5 Mathematics https://www.sqa.org.uk/sqa/47419.html
National 5 Maths – Whole Course https://www.national5maths.co.uk/free-national-5-maths-2/
Maths Revision (National 5) https://www.mathsrevision.com/index_files/National5.htm
Mr. DLBMaths YouTube Channel https://www.youtube.com/channel/UCXt3XlkIJoAMovD7ngorKQQ/videos
DLBMaths (YouTube) https://www.youtube.com/user/DLBmaths/videos?disable_polymer=1
Maths Revision – Main Site https://mathsrevision.com/

Higher Mathematics

Resource Link
SQA Higher Mathematics https://www.sqa.org.uk/sqa/47910.html
Higher Mathematics – Whole Course https://www.highermathematics.co.uk/higher-maths-whole-course/
Maths Revision https://www.mathsrevision.com/index_files/Higher.htm
Mr. DLBMaths YouTube Channel https://www.youtube.com/channel/UCXt3XlkIJoAMovD7ngorKQQ/videos
DLBMaths (YouTube) https://www.youtube.com/user/DLBmaths/videos?disable_polymer=1

Advanced Higher Mathematics

Resource Link
Advanced Higher Mathematics – Free Course https://www.advancedhighermaths.co.uk/free-ah-maths/
DLBMaths (YouTube Channel) https://www.youtube.com/user/DLBmaths/videos?disable_polymer=1


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