
Free Course

Advance Learning

34 Hours

Assessment

Certification

50 Pts
Strand 2 Ordinary Level Geometry and Trigonometry

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.
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Modules List( 4 )

PROJECT MATHS STRAND 2 ORDINARY LEVEL: GEOMETRY AN...

Module
1 Synthetic Geometry
Learn more about synthetic geometry.

Properties of Shapes
Start Topic

Geometric reasoning  Part 1
Start Topic

Geometric reasoning  Part 2
Start Topic

Geometric reasoning  Part 3
Start Topic


Module
2 Coordinate Geometry
Learn more about coordinate geometry.

Geometry with coordinates
Start Topic

Equation of a straight line
Start Topic

Parallel lines
Start Topic

Perpendicular lines
Start Topic

The graphs of y=kx^n
Start Topic

Translation of functions
Start Topic

Reflection of functions
Start Topic

Stretching functions
Start Topic

General transformation of functions
Start Topic

Equation of a circle 1  Centre (0,0)
Start Topic

Equation of a circle 2  Centre not (0,0)
Start Topic

Diameter of a circle
Start Topic

Tangent and normal to a circle
Start Topic


Module
3 Trigonometry
Learn more about trigonometry.

Finding angles with sine ratio
Start Topic

Finding sides with the sine ratio
Start Topic

Finding angles with the cosine ratio
Start Topic

Finding sides with the cosine ratio
Start Topic

Finding angles with the tangent ratio
Start Topic

Finding sides with the tangent ratio
Start Topic

Finding a missing side with the Sine Rule
Start Topic

Finding a missing angle with the Sine Rule
Start Topic

Problem solving with the Cosine Rule
Start Topic

Finding areas with trigonometry
Start Topic

Area of a segment
Start Topic


END OF COURSE ASSESSMENT

Strand 2 Ordinary Level Geometry and Trigonometry Assessment

You must score 80% or more to pass this assessment.

Strand 2 Ordinary Level Geometry and Trigonometry Assessment
Start Topic


RESOURCE

Resource: Examination Material Archive View Resource