Working together to improve teaching & learning Leagan Gaeilge
Leaving Certificate ›› Geometry & Trigonometry

This page is currently under construction. All resources can be accessed through the links below.

Synthetic Geometry

  • Activities on axioms, theorems and constructions from the student area
  • Presentation on using geostrips to teach geometry
  • Important terms in logic and deductive reasoning.
  • Interactive geometry quiz
  • Student activity on describing theorems in their own words - for Leaving Cert. OL
  • Student activity on describing theorems in their own words - for Leaving Cert. HL
  • Student activity on Theorem 7 - The angle opposite the greater of the two sides in a triangle is greater than the angle opposite the lesser
  • Student activity on Theorem 8 - Two sides of a triangle together are greater than the third side
  • Excel file for investigating Theorem 8
  • GeoGebra file for investigating Theorem 8
  • Activity for introducing similar triangles
  • Student activity on Theorem 13 - If two triangles are similar then their sides are proportional in order
  • Interactive powerpoint on making connections in geometry based on triangles and enlargements
  • Student activity on making connections in geometry based on triangles and enlargements
  • Student activity on Theorem 15 - The converse of Pythagoras's Theorem
  • Teacher resource booklet from workshop 2
  • Teacher resource booklet from workshop 6
  • Powerpoint on geometry in the world around us and the notion of proof in geometry and number
  • Investigating the ideas of proof by contradiction and the converse of a statement
  • A series of posters highlighting geometry in the world around us
  • The geometry posters presented as individual image files
  • Problem-solving lesson on the properties of geometric shapes – developed by teachers
  • Sequence of lesson ideas for teaching the circle - from Seminar 2014-2015
  • Instructional video on locating the circumcentre of a circle
  • Instructional video on locating the incentre of a circle
  • Instructional video on construction a 60 degree angle
  • Using folding for constructions
  • Drawing a free-hand circle by hand
  • Problem analysing the number of regions in a circle
  • Video showing how to find the area of a shard of a ceramic plate
  • Student activity on Theorem 21 - The perpendicular bisector of a chord passes through the centre of its circle
  • Using problem-solving as a strategy for teaching circle constructions
  • Student activities on using problem-solving to understand circle constructions
  • Resources used in modular course 2 on geometry and trigonometry
  • Resources on trigonometry problems used in modular course 4
  • Problem-solving questions
  • Solutions to problem-solving questions
  • 3D problem based on a regular tetrahedron
  • Teaching and learning plan on investigating Pythagoras's theorem - developed by teachers
  • Real life applications of maths - Lesson study by Our Lady's College Drogheda
  • Using GeoGebra to teach constructions for understanding - Lesson study by St. Columba's Comphrensive, Glenties
  • Coordinate Geometry

  • Activities on coordinate geometry from the student area
  • Student activity on understanding the equation of a line
  • Teacher resource booklet from workshop 2
  • Interactive powerpoint on making connections in geometry based on triangles and enlargements
  • Student activity on making connections in geometry based on triangles and enlargements
  • Video showing how to find the area of a shard of a ceramic plate
  • GeoGebra file to support task 1 from workshop 6
  • Resources used in modular course 2 on geometry and trigonometry
  • Sequence of lesson ideas for teaching the circle - from Seminar 2014-2015
  • Problem-solving lesson on the equation of a circle – developed by teachers
  • Instructions on how to use GeoGebra to investigate changes to the equation of a circle with radius
  • Student primer for applying the distance formula
  • Teaching and learning plan on introducing the distance formula
  • Teaching and learning plan on investigating the distance formula - developed by teachers
  • Real life applications of maths - Lesson study by Our Lady's College Drogheda
  • Trigonometry

  • Activities on trigonometry from the student area
  • Interactive teaching and learning plan on introducing trigonometry
  • Teaching and learning plan on introducing trigonometry
  • 3D problem based on a regular tetrahedron
  • Interactive teaching and learning plan on the unit circle
  • Teaching and learning plan on the unit circle
  • Interactive teaching and learning plan on trigonometric functions
  • Teaching and learning plan on trigonometric functions
  • Activities on exploring trigonometric graphs in context
  • Teacher resource booklet from workshop 2
  • Presentation on trigonometric ratios from workshop 2
  • Student activity from teaching and learning plan on introduction to trigonometric ratios
  • Sequence of lesson ideas for teaching the circle - from Seminar 2014-2015
  • Resources used in modular course 2 on geometry and trigonometry
  • Resources on trigonometry problems used in modular course 4
  • Tutorial on using GeoGebra to investigate trigonometric ratios
  • Teaching and learning plan on introducing radians - developed by teachers
  • Video showing students using trigonometry to solve 3D problems
  • Video showing students investigating the concept of radian measure
  • Video showing students investigating trigonometric graphs
  • Transformation Geometry

  • Activities transformation geometry and enlargements from the student area
  • Interactive powerpoint on making connections in geometry based on triangles and enlargements
  • Student activity on making connections in geometry based on triangles and enlargements
  • Sequence of lesson ideas for teaching the circle - from Seminar 2014-2015
  • Teaching and learning plan on enlargements - developed by teachers
  • Real life applications of maths - Lesson study by Our Lady's College Drogheda
  • New to projectmaths.ie