IB Maths AI SL 3.1 - Introduction to 3D Geometry Notes

IB Maths AI SL 3.1 Notes – Introduction to 3D Geometry

This IB Maths AI SL 3.1 resource introduces key concepts in three-dimensional geometry and is fully aligned with the IB Applications and Interpretation SL syllabus.

Students learn how to extend familiar two-dimensional ideas into three dimensions, including calculating the distance and midpoint between two points in 3D space using coordinate geometry. The notes also review important surface area and volume formulas for common solids such as hemispheres, right pyramids, cones, spheres, and rectangular prisms.

The resource develops geometric reasoning by showing how many three-dimensional problems can be simplified using right-triangle relationships and spatial visualization.

Students are also introduced to vector methods for finding angles in three dimensions, including the acute angle between two lines using direction vectors and the angle between a line and a plane using the plane’s normal vector.

Structured examples and formula summaries help students confidently apply 3D geometry techniques to exam-style problems.

Ideal for IB Maths AI SL teachers introducing coordinate geometry and spatial reasoning in three dimensions.