Links

Mathematics staff

Supported study

Qualification pathways

Extra-curricular activities

Equipment

Competitions/events

BGE General overview

S1 Course overview

S2 Course overview

N3 Applications Course overview

N4 Applications Course overview

N5 Applications Course overview

N5 Mathematics Course overview

Higher Course overview

S1/S2 resources

N3 resources

N4 Apps resources

N5 Apps resources

N5 Maths resources

Higher resources

Advanced higher resources

Mathematics Staff

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MATHS DEPARTMENT TEAM (FROM LEFT TO RIGHT)

Mr F McNiff - Teacher of Mathematics

Mrs L Long - Teacher of Mathematics

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

Miss L Hamilton - Teacher of Mathematics

Miss K McKenzie - Teacher of Pupil Support (Numeracy)

Mr M Jones - Teacher of Mathematics

Supported Study

Every Thursday after school - Mr McNiff, Room 213

Further supported study sessions will appear during the year.

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.

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Course overview - Mathematics

BGE in general

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, statistics and fractions

Program 2 - Negative numbers, symmetry/tesselations and equations

Program 3 - Coordinates and decimals

Program 4 - Percentages, angles and 2D shapes

Program 5 - Length, volume, weight and time

 

S2 Course - Mathematics

S2 follows five programs over their year:-

Program 6 - Formulae, sequences, multiples & factors and fractions

Program 7 - Algebra, bearings, scale and decimals

Program 8 - Area, angles, 3D objects, ratio & proportion and time

Program 9 - Circles, statistics and probability

Program 10 - Money project

National 3 Applications of Mathematics

Course Overview

The Course, which includes the freestanding Unit in Numeracy at SCQF level 3, will motivate and challenge learners by enabling them to select and apply mathematical and numerical skills in a variety of mathematical and real-life situations. The Course includes the study of number, money, shape, space and measurement in everyday life, allowing individuals to interpret data and tackle real-life situations. It is designed to develop the learners’ skills relevant to learning, life and work in an engaging and enjoyable way. The Course develops confidence in the subject and a positive attitude towards further study in mathematics and other subject areas which use mathematics.

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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

Unit and Content Information

NUMERACY

 

MANAGING FINANCE & STATISTICS

 

GEOMETRY & MEASURES

National 5 Applications of Mathematics

 

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.


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

185minutes                           

(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 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.

 

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; Trigonometry 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

Numeracy Ninja: https://www.numeracyninjas.org/

Maths Workout: https://www.mathsworkout.co.uk/

S1/S2 free maths: https://www.national5maths.co.uk/s1-s2-courses/

Maths Revision: https://mathsrevision.com/

Dr Frost Maths: https://www.youtube.com/channel/UCsIq1iWdSftdelGwJLiyjwQ

Sumdog: https://www.sumdog.com/

 

BBC Bitesize:

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...

1st Level Revision

2nd Level Revision

3rd Level Revision

4th Level Revision

 

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

Studying National 3 Mathematics this year?

Find all the resources you need including information, notes, homeworks, revison sheets, m508x264-ddb786ffa7182dc751f629094b86e455--study-motivation-quotes-exam-motivation-edit.jpgind maps, powerpoints, tutorial clips, practice exam questions, topic lists, past papers and more from these links below:

https://www.sqa.org.uk/sqa/81287.html

https://www.national5maths.co.uk/free-n3-lifeskills/

https://www.mathsrevision.com/index_files/NAT3Applications.htm

http://lhsnational3maths.weebly.com/

https://www.national5maths.co.uk/free-n3-lifeskills/

Maths Revision: https://mathsrevision.com/

National 4 Applications of Mathematics

https://www.maths.scot/national-4-apps

http://www.scruffs.shetland.co.uk/

http://www.mathsrevision.com/index_files/N4_Applications.htm

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National 5 Applications of Mathematics

https://www.national5maths.co.uk/n5-lifeskills-maths/

https://www.dynamicmaths.co.uk/QuestionBank/index.php

National 5 Mathematics

Studying National 5 Mathematics this year?

Find all the resources you need including information, notes, homeworks, revison sheets, mind maps, powerpoints, tutorial clips, practice exam questions, topic lists, past papers and more from these links below:

https://www.dynamicmaths.co.uk/QuestionBank/index.php

https://www.sqa.org.uk/sqa/47419.html

https://www.national5maths.co.uk/free-national-5-maths-2/

https://www.mathsrevision.com/index_files/National5.htm

https://www.youtube.com/channel/UCXt3XlkIJoAMovD7ngorKQQ/videos

National 5 Maths : https://www.national5maths.co.uk/free-national-5-maths-2/

Maths Revision: https://mathsrevision.com/

DLBMaths: https://www.youtube.com/user/DLBmaths/videos?disable_polymer=1

Higher Mathematics

Studying Higher Mathematics this year?

Find all the resources you need including information, notes, homeworks, revison sheets, min48258057e3e9278f60d9404fe0c64c96--study-inspiration-motivation-inspiration-edit.jpgd maps, powerpoints, tutorial clips, practice exam questions, topic lists, past papers and more from these links below:

https://www.sqa.org.uk/sqa/47910.html

https://www.highermathematics.co.uk/higher-maths-whole-course/

https://www.mathsrevision.com/index_files/Higher.htm

https://www.youtube.com/channel/UCXt3XlkIJoAMovD7ngorKQQ/videos

Higher maths: https://www.highermathematics.co.uk/higher-maths-whole-course/

Maths Revision: https://mathsrevision.com/

DLBMaths: https://www.youtube.com/user/DLBmaths/videos?disable_polymer=1

 

Advanced Higher Mathematics

Advanced higher maths: https://www.advancedhighermaths.co.uk/free-ah-maths/

DLBMaths: https://www.youtube.com/user/DLBmaths/videos?disable_polymer=1


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