#### 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).

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.

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 2024–2025 academic year is now closed. Registration for 2025–2026 will open in May 2025.

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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