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Strand 2 Ordinary Level Geometry and Trigonometry Free Course

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  • 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 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 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.

Modules List( 4 )
  • Module 1: Synthetic Geometry
    • Properties of Shapes
    • Geometric reasoning - Part 1
    • Geometric reasoning - Part 2
    • Geometric reasoning - Part 3
  • Module 2: Coordinate Geometry
    • Geometry with coordinates
    • Equation of a straight line
    • Parallel lines
    • Perpendicular lines
    • The graphs of y=kx^n
    • Translation of functions
    • Reflection of functions
    • Stretching functions
    • General transformation of functions
    • Equation of a circle 1 - Centre (0,0)
    • Equation of a circle 2 - Centre not (0,0)
    • Diameter of a circle
    • Tangent and normal to a circle
  • Module 3: Trigonometry
    • Finding angles with sine ratio
    • Finding sides with the sine ratio
    • Finding angles with the cosine ratio
    • Finding sides with the cosine ratio
    • Finding angles with the tangent ratio
    • Finding sides with the tangent ratio
    • Finding a missing side with the Sine Rule
    • Finding a missing angle with the Sine Rule
    • Problem solving with the Cosine Rule
    • Finding areas with trigonometry
    • Area of a segment
  • Strand 2 Ordinary Level Geometry and Trigonometry Assessment
    • Strand 2 Ordinary Level Geometry and Trigonometry Assessment
  • Resource: Examination Material Archive
Topics List ( 4 )
Module 1: Synthetic Geometry
Learn more about synthetic geometry.
Topics List ( 1 )
Strand 2 Ordinary Level Geometry and Trigonometry Assessment
You must score 80% or more to pass this assessment.
Course Features
  • Duration

    3-4 Hours

  • Publisher

    Advance Learning

  • Video


  • Audio


  • Assessment


  • Certification


  • Price


  • Reward

    50 Pts

  • Responsive


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