Standard 2: Graph TheoryArchived

Understand how graphs of vertices joined by edges can model relationships and can be used to solve various problems with relation to directed graphs, weighted graphs, networks, tournaments, transportation flows, matching, and coverage.
General Information
Number: MA.912.D.2
Title: Graph Theory
Type: Standard
Subject: X-Mathematics (former standards - 2008) - Archived
Grade: 912
Body of Knowledge: Discrete Mathematics

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Lesson Plans

Who Do You Know? The Theory Behind Social Networking:

This video lesson will introduce students to algorithmic thinking through the use of a popular field in graph theory—social networking. Specifically, by acting as nodes in a graph (i.e. people in a social network), the students will experientially gain an understanding of graph theory terminology and distance in a graph (i.e. number of introductions required to meet a target person). Once the idea of distance in a graph has been built, the students will discover Dijkstra's Algorithm. The lesson should take approximately 90 minutes and can be comfortably partitioned across two class sessions if necessary (see the note in the accompanying Teacher Guide). There are no special supplies needed for this class and all necessary hand-outs can be downloaded from this website.

Type: Lesson Plan

Visualization of Social Networks with Node Graphs:

This lesson introduces the concept of node graphs for the purpose of visualizing social networks.

The lesson is presented with an introductory physical activity where students create a living graph. Students, building on their existing knowledge regarding common graph types, learn how node graphs can be used to visualize data from social networks.

Students will then participate in a simulated contagious infection event and will accurately record data about the transmission of the disease. These data will be used to construct a single computer file to be used to create a single node graph for describing the network. Students will then be responsible for understanding how to interpret the resulting network graph in the context of the activity.

Type: Lesson Plan

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