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# Strand 2 Ordinary Level Geometry and Trigonometry

Math
Free Course
Learn geometry to understand the dimensions and transformations of shapes and figures. Learn trigonometry for measurements of length, angles and circular measure.
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3-4 Hours

Yes

Yes

## Description

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 Co-ordinate 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.

Co-ordinate geometry studies lines and circles by reference to a fixed set of co-ordinates. 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 real-world problems.
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## Learning Outcomes

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

## Certification

All Alison courses are free to enrol, study and complete. To successfully complete this Certificate course and become an Alison Graduate, you need to achieve 80% or higher in each course assessment. Once you have completed this Certificate course, you have the option to acquire official Certification, which is a great way to share your achievement with the world. Your Alison Certification is:

Ideal for sharing with potential employers - include it in your CV, professional social media profiles and job applications
An indication of your commitment to continuously learn, upskill and achieve high results
An incentive for you to continue empowering yourself through lifelong learning

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