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Strand 2 Higher Level Geometry and Trigonometry

Geometry
Free Course

This course covers Geometry and Trigonometry, a third of thePaper 2 in the Leaving Certificate in the Irish curriculum.

Description Outcome Certification View course modules

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.

Having completed this course students will be able to:


  • Determine the slope of a line given it’s equation
  • Find the equation of a line perpendicular to a given line and passing through a given point
  • Compute the angle between two given lines
  • 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
  • Solve the trigonometrical equations sin(x) = r and cos(x) = r in general form

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

Alison offers 3 types of Certification for completed Certificate courses:

Digital Certificate - a downloadable Certificate in PDF format, immediately available to you when you complete your purchase
Certificate - a physical version of your officially branded and security-marked Certificate, posted to you with FREE shipping
Framed Certificate - a physical version of your officially branded and security-marked Certificate in a stylish frame, posted to you with FREE shipping

All Certification is available to purchase through the Alison Shop. For more information on purchasing Alison Certification, please visit our faqs. If you decide not to purchase your Alison Certification, you can still demonstrate your achievement by sharing your Learner Record or Learner Achievement Verification, both of which are accessible from your Dashboard. For more details on our Certification pricing, please visit our Pricing Page.

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