Curriculum

This page is to outline the current status of the Irish Mathematics Curriculum for Second Level students. The type of mathematics outlined  will be linked to those people, whom in real life, use that branch of mathematics.

What is a Curriculum and how is Mathematics involved?

 A curriculum may be simply defined a the list of topics that must be understood by the student at the end of the course, and what level to achieve a particular grade or standard.

The curriculum for Ireland’s second level schools is determined by the Minister for Education and Science who is advised by the National Council for Curriculum and Assessment (NCCA). The curriculum sets out not only what is to be taught, but how, and how learning in the particular subject area is to be assessed.
The Mathematics syllabus, throughout second level develops mathematical knowledge, skills and understanding needed for continuing education, life and work. Through their study of mathematics, students develop a flexible, disciplined way of thinking which enables them to solve problems in mathematical and real world contexts.

 

What is Project Maths?
In recent years, Project Maths, was developed to empower students to develop essential problem-solving skills for higher education and the workplace by engaging teenagers with mathematics set in interesting and real-world contexts.  The video below, outlines the ambitions of Project Maths.

 

How is Project Maths structured?

Project Maths has five Strands: Statistics and Probability, Geometry and Trigonometry, Number, Algebra and Functions. Each strand is not to be treated in isolation, various connections across strands are to be made. For example, an understanding of Algebra is essential to fully appreciate Trigonometry. For a detailed outline of the Project Maths syllabus, click here.

Statistics and Probability
Brief Outline

statistics_probabilityStudents will learn about:

Finding, collecting and organising data

Representing data graphically and numerically

Analysing, interpreting and drawing conclusions and inferences from data

Who uses Statistics and Probability?

Statistics and Probability is probably the most commonly used form of mathematics. Examples include: Statisticians, meteorologists, journalists, stockbrokers, nurses, athletes, data scientists, actuaries and so on...

Geometry and Trigonometry
Brief Outline

Trigonometry

Students will learn about:

Synthetic Geometry (Constructions and Theorems)

Co-ordinate Geometry

Trigonometry

Transformation Geometry and Enlargements.

Who uses Geometry and Trigonometry?

Geometry and Trigonometry are used by:

Builders, Web Designers, Engineers, Surveyors, Architects, Geographers, Manufacturers, Medical Imaging Specialists.

 

Number
Brief Outline

numberStudents will learn about:

Number systems (real numbers, integers, complex numbers, etc)

Financial Mathematics

Indices and Logarithms

Arithmetic (tax calculations, percentages, error calculations, etc)

Length, Area and Volume.

Who uses material covered in the Number strand?

The material covered in the Number strand is used by:

Number Systems including Complex Numbers: Engineers and Data Scientists. Complex Numbers are used by Electrical Engineers.

Financial Mathematics: All personnel working in the Finance Sector, such as mortgage advisers, investment bankers, stock analysts, and so on.

Indices and Logarithms: Used extensively by anyone involved in numerical or mathematical modelling, i.e. using a mathematical equation to predict the outcome of something.

Arithmetic: Retail personnel, Accountants, Scientists, Engineers, and so on...

Length, Area and Volume: Builders, Manufacturers, Web Designers, Mechanical Engineers, Surveyors, Architects, Geographers, and so on...

 

Algebra
Brief Outline

OLYMPUS DIGITAL CAMERAStudents will learn about:

Algebraic expressions

Solving equations

Inequalities

Advanced Complex Numbers

 

 

Who uses Algebra?

Algebra is used by:

Market Analysts, Data Scientists, Engineers, Manufacturers, Scientists, Animators, Meteorologists, Software Developers, Geoscientists, Educators, Architects, anyone involved in mathematical modelling, and so on...

Functions
Brief Outline

functionsStudents will learn about:

Understanding Mathematical functions, both numerically and graphically.

Calculus

Who uses Functions and Calculus?

Who uses Functions and Calculus?

Pharmaceutical Scientists: When analysing how medications affect different bodily functions, pharmaceutical scientists rely on calculus to track and predict changes in body chemistry. Before beginning a drug trial, for instance, scientists must use mathematical formulas and biological research to prove that a new medication could effectively treat certain conditions. During the experiment, scientists would compare their calculus-based predictions with results from tests subjects.

Civil Engineering: Many aspects of civil engineering require calculus. Firstly, derivation of the basic fluid mechanics equations requires calculus. For example, all hydraulic analysis programs, which aid in the design of water supply systems, use calculus numerical methods to obtain the results. In hydrology, volume is calculated as the area under the curve of a plot of flow versus time and is accomplished using calculus.

More to be added...