Subject
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.
The Geometry pathway
Ages 11–13 · Years 7–8
Euclidean reasoning and proof
Junior students begin writing geometric proofs and reasoning about congruence and similarity. This is where geometry transitions from visual intuition to rigorous logical argument — a transformative step in mathematical development.
What we cover
- Congruence and similarity theorems
- Angles in triangles and polygons
- Parallel lines and transversals
- Introduction to Euclidean proof
- Pythagorean theorem and its applications
Competitions & exams we prepare for in United Kingdom
- Junior Mathematical Challenge (geometry)
- Junior Mathematical Olympiad
Topics we explore
Doubling the MedianLearn how to apply the method of doubling the median in triangle geometry. Includes proofs and ratio problems involving triangle medians.View on ProblemsChessboard ColouringClassic board-colouring problems where a simple colour or weight pattern proves an impossibility, or shows the right construction.View on ProblemsKnight ReturnsExact-move knight return problems built around colouring invariants and closed walks in the knight graph.View on ProblemsMaximum Non-Attacking PiecesExtremal chessboard placement problems solved by combining upper bounds with constructions.View on ProblemsRotational SymmetryView on ProblemsNumber Placement GraphsPlace numbers in circles or cells on a graph while satisfying equal-sum, side-sum, target-answer, or adjacency constraints.View on ProblemsSquare DissectionsView on Problems
Courses in Geometry
Articles
All geometry posts →
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