
Description

Outcome

Certification

Geometry and Trigonometry is the second of two strands introduced in the first phase of the new Project Maths Course. This topic covers up to a third of the new Paper 2 in the Leaving Certificate Paper in the Irish curriculum. Synthetic Geometry and Coordinate Geometry are used in real life to help us understand the dimensions and transformations of shapes and figures (lines, triangles, polygons and circles). Synthetic geometry studies shapes by means of axioms and theorems. Coordinate geometry studies lines and circles by reference to a fixed set of coordinates. Trigonometry is concerned with ‘real life’ measurements of length, angles and circular measure in both two and three dimensions. The use of trigonometry is commonly utilised in the areas of quantity surveying, building and construction, and architecture. This strand is without doubt the most applicable area of the Leaving Certificate mathematics syllabus and allows students gain experience of realistic solutions to realworld problems.

Having completed this course students will be able to:
 Determine the slope of a line passing through two given points
 Find the equation of a line passing through two given points
 Find the equation of a line perpendicular to a given line and passing through a given point
 Determine the equation of a circle having a given centre and radius
 Find the equation of a tangent to a given circle at a specified point
 Find distance and angle using Sine and Cosine Rules
 Find length of an arc and area of a sector using circular measure
 Determine the area of a triangle given the lengths of two sides and the included angle

All Alison courses are free to study. To successfully complete a course you must score 80% or higher in each course assessments. Upon successful completion of a course, you can choose to make your achievement formal by purchasing an official Alison Diploma, Certificate or PDF.
Having an official Alison document is a great way to share your success. Plus it’s: Ideal for including in CVs, job applications and portfolios
 An indication of your ability to learn and achieve high results
 An incentive to continue to empower yourself through learning
 A tangible way of supporting the Alison mission to empower people everywhere through education.