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.
2024/25 Course Information
The course will run in person from September 19, 2024 to May 2025 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 September 2024. 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.
2025/26 Course Information
The course will run in person from September, 2025 to May 2026 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 6, 2025. 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 fee for the course: $540.
Please register for a (free) Admission Test before August 31. Details about the Test location will be emailed to those registered 1 week prior to the Test, and also posted here. If you plan to take the Admission Test for the “Fundamentals of Geometry I”, please do not register for the online course “Computer Geometry” – we will keep registrations in our online courses open until October 1.
ADMISSION TEST
REGISTRATION FORM
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.
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.
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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