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Geometry

Geometry is at the heart of our teaching philosophy. Spatial reasoning develops the visual intuition that makes every branch of mathematics more accessible. We teach geometry deeply — not as a collection of formulas, but as a system of logical relationships.

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The Geometry pathway

PrimaryJuniorIntermediateSenior
Ages 16–18 · Years 12–13

Advanced Euclidean and projective geometry

Senior geometry training covers the advanced results seen in national and international Olympiads: power of a point, radical axes, projective transformations and inversions. A deep grounding here is invaluable for BMO and beyond.

What we cover

  • Power of a point and radical axes
  • Projective geometry fundamentals
  • Inversions and Möbius transformations
  • Advanced trigonometric identities
  • Synthetic vs analytic proof strategies

Competitions & exams we prepare for in United Kingdom

  • British Mathematical Olympiad (BMO1 & BMO2)
  • Mathematical Olympiad for Girls (MOG)
  • Senior Mathematical Challenge
  • International Mathematical Olympiad (IMO) preparation

Topic sequence

Courses in Geometry

Geometry
GeometryAge 12+

Geometry

This course encompasses a range of Geometry topics such as coordinate and spatial geometry, introductory trigonometry, angles, parallel lines, congruent and similar triangles, polygons, circles, the Pythagorean Theorem, and more. Emphasis will be placed on reinforcing Algebra skills and enhancing critical thinking through problem-solving in both mathematical and real-world contexts.

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Articles

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Diving Deep into Geometry: Exact Science's Camp Goes Beyond the Classroom
Geometry3 min read

Diving Deep into Geometry: Exact Science's Camp Goes Beyond the Classroom

Why serious geometry still needs more proof, construction, and precision than most students ever get in school, and why that matters for mathematical maturity.

George Ionitsa·19 February 2024

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A free 30-minute trial lesson to find the right level and set a clear path forward.

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