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 the Ontario Elementary or Secondary School Curriculum.
Fundamentals of Geometry I is a required course for admission to Fundamentals of Geometry II and Competitive Math II.
2026/27 Course Information
The course will run in person from September 24, 2026 to May 2027 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.
Course Instructor: Dr. Dragos Calitoiu competitive_math@math.carleton.ca.
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 Saturday September 12, 2026 from 11:30am to 12:15pm at Azrieli Theatre(AT) 101
Registration for this free test is required (deadline: August 31).
To succeed at the Admission Test for Fundamentals of Geometry I, students are expected to have strong knowledge of mathematics at grade 6 level. To ensure equal opportunities for all students, we do not release any further details about this test.
We reserve the right to cancel this course with a full refund if a minimum enrollment is not reached.
Registration Information
Registration for the 2026–2027 academic year is now closed. Registration for 2027–2028 will open in May 2027.
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.
Inquiries
For details please write to competitive_math@math.carleton.ca.
**Please note we are unable to answer any enquiries by phone.**
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