
Free

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

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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

Geometric reasoning  Part 1

Geometric reasoning  Part 2

Geometric reasoning  Part 3


Module
2 Coordinate Geometry
Learn more about 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
Learn more about 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


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


RESOURCE

Resource: Examination Material Archive View Resource