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

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, money, volume, conversion, proportion and circle

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

Program 8 - Algebra, formulae, patterns, sequences, gradient and straight line

Program 9 - Ratio, bearings, scale and trigonometry

Program 10 - Numeracy

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.

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 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.

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

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...

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