Geometry in MYP combines spatial reasoning with algebraic tools. Students progress from angle properties through Pythagoras and trigonometry to coordinate geometry and transformations, with an emphasis on investigation and real-world application.
Pythagoras: a² + b² = c² for right-angled triangles. Applications: finding distances, checking if a triangle is right-angled. Trigonometric ratios: sin θ = O/H, cos θ = A/H, tan θ = O/A (SOH-CAH-TOA). Students use these to find missing sides and angles in right triangles.
Distance formula: √[(x₂−x₁)² + (y₂−y₁)²]. Midpoint: ((x₁+x₂)/2, (y₁+y₂)/2). Gradient: (y₂−y₁)/(x₂−x₁). Parallel lines have equal gradients; perpendicular lines have gradients whose product is −1. Equation of a line: y − y₁ = m(x − x₁).
Four transformations: translation (slide), reflection (flip), rotation (turn), enlargement (scale). Each described by specific parameters (vector, line of reflection, centre + angle, centre + scale factor). 3D shapes: surface area and volume of prisms, cylinders, cones, spheres, and composite solids.
MYP and IGCSE have similar content depth but differ in approach. MYP emphasises investigation, real-world application, and communication (four assessment criteria) rather than pure exam technique. Content-wise, MYP Maths Extended is comparable to IGCSE Extended/Higher. MYP Standard is closer to IGCSE Core.
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