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.

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