Voronoi Diagrams Lesson Plan for 12th Grade Example Students

Topic: Voronoi Diagrams

Objectives & Outcomes

• Understand the concept of a Voronoi diagram and its applications in science and practice
• Be able to calculate the Voronoi diagram for a given set of points

Materials

• Computer with internet access for research (if needed)
• Graph paper or whiteboard and markers

Warm-up

• Ask students if they have heard of the term Voronoi diagram before. Ask them to describe what it is and what it is used for.
• Show students a few simple examples of Voronoi diagrams and ask them to explain how they were created.

Direct Instruction

• Introduce the concept of a Voronoi diagram as a way of dividing space into regions based on the distance to a set of points or edges.
• Show students how to create a Voronoi diagram using the GeoGebra app. Demonstrate how to create a set of points or edges and how to use the app's built-in functions to create the Voronoi diagram.
• Explain how the Voronoi diagram can be used to find the nearest location to a point or edge.

Guided Practice

• Have students work in pairs to create a Voronoi diagram using the GeoGebra app.
• Have them use the app to find the nearest point or edge to a set of randomly chosen points or edges.

Independent Practice

• Have students create a project-based assignment where they use Voronoi diagrams to model a real-world situation.
• Examples could include creating a map of animal habitat, modeling the distribution of population in a city, or visualizing the distribution of wealth in a society.

Closure

• Review the main concepts of Voronoi diagrams and how to calculate distances between points and edges.
• Ask students to reflect on the importance of Voronoi diagrams in various fields and how they can be used to model various phenomena.

Assessment

• Observe students during the guided practice and independent practice activities to assess their understanding of the concept.
• Collect and grade the diagrams that students create during the independent practice activity.