Fundamentals of Geometry – Part I (In-person)

Grade 7-8 Students (September to May)
Geometry is a wonderful playground for developing logical and consistent thinking. It may be regarded as a game played by axiomatic rules created by the ancient Greeks. However, this classical part of mathematics is practically nonexistent as a subject in the curriculum of Canadian schools.

The School of Mathematics and Statistics at Carleton University offers a non-credit enrichment course for students in grade 7-8.

We propose to cover the following topics:

  • Parallelism, Congruency and Similarity Properties of the Triangle (including median, perpendicular bisector, angle bisector, altitude, and their respective intersections)
  • Pythagorean Theorem and related problems
  • The Circle (including the power of a point with respect to a circle)
  • Quadrilaterals
  • Area relationships
  • Geometric Constructions (some problems about Geometric Loci)

These topics will be covered in-depth and are not related to Ontario Elementary or Secondary School Curriculum.

Fundamentals of Geometry I is a required course for the admission to Fundamentals of Geometry II and Competitive Math II.

2023/24 Course Information

The course will run in person from September 21, 2023 to May 2024 on Thursdays 6:00-7:30 pm. (Break in December) in the School of Mathematics and Statistics, MacPhail Seminar Room, Room 4351 Herzberg Laboratories Building.

This course will include approximately 15 (marked) assignments, three tests and one final exam.

There will be a free Admission Test for this course held on Sunday September 10,  2023, 11:30am-12:30pm in Richcraft Hall, room RB2200. Registration for this free test is required.

Students who are registered for Admission Tests in both Basic Algebra and Fundamentals of Geometry I should only write the test for Basic Algebra. For such students admission into Fundamentals of Geometry I will be based on the test for Basic Algebra.

We reserve the right to cancel this course with a full refund if a minimum enrollment is not reached.

Registration Information

Registration fee for the course: $490.

Please register for a (free) Admission Test before September 7. Details about the Test location will be emailed to those registered 1 week prior to the Test. If you plan to take the Admission Test for the “Fundamentals of Geometry I”, please do not register for the online course “Geometry I as a Gateway to Computer Science” – we will keep registrations in our online courses open until October 1.


Students who pass the Admission Test will be issued special registration codes that are required for online registration. Note that these codes are personalized and non-transferable.


For students with limited financial resources fee waivers may be available. Please do not apply for a Fee Waiver before you pass the Admission Test.

Fee Waiver Information and Application

Refund Policy

100% refund prior to August 31st
95% refund prior to September 30th
75% refund prior to October 31st
50% refund prior to November 30th

To request refund, please complete this form before the deadline.


For details please write to
**Please note we are unable to answer any enquiries by phone.**

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