IB Maths AI: Voronoi Diagrams

This complete lessons contains Desmos and GeoGebra interactives to demonstrate how to create voronoi diagrams, as well as examples. The lesson starts off with a review on finding equations of perpendicular bisectors then moves into a explorative task about voronoi diagrams. The lessons covers the following topics:

• equation of a perpendicular bisector
• how to construct a perpendicular bisector
• key terminology used when constructing voronoi diagrams
• how to construct a voronoi diagram with multiple sites
• finidng centre of a circle using perpendicular bisectors of cords
• finding locations of missing sites
• nearest neighbour
• adding new sites to a voronoi diagram
• toxic waste dump problems (largest circle)

At the end this is a multiple choice quiz. There are also embedded link to Desmos Classroom activities. As well, throughout the PowerPoint there are worked examples and exercises and past paper exam questions for students to complete.