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This list offers good places to begin looking for individual discrete math
lesson plans or materials on which to base them. For more sites, see our
discrete math lesson plan collections,
browse all lesson plans, or search the Library.
- Games on Graphs (MegaMath) - Nancy Casey; Los Alamos National Laboratory
Students use algebraic methods to explore, model, and describe patterns and functions involving numbers, shapes, data, and graphs in problem-solving situations and communicate the reasoning used in solving these problems. Graphs, stories and games provide scenarios for games that student can play on graphs. Also Three for the Money: The Degree/Diameter Problem, an unsolved problem for students to work on, and other games that can help students increase the range of possibility for games that they can invent on graphs. Big Ideas and Key Concepts include pages on Graphs; Properties of mathematical objects; Modeling; and Abstraction.
- The Most Colorful Math of All (MegaMath) - Nancy Casey; Los Alamos National Laboratory
Coloring is a profound mathematical topic with multi-million-dollar industrial applications. The problem presented here has been of interest to mathematicians for over a hundred years. With a few crayons or markers and some hand-drawn maps, children can quickly find themselves grappling with the four-color map problem. Activities, Background Information, Evaluation.
- Three for the Money: The Degree/Diameter Problem (MegaMath) - Nancy Casey; Los Alamos National Laboratory
Students can understand and work on an unsolved problem in mathematics. There is a good chance that this problem can be solved by someone who spends enough time experimenting with it. The only skills required to work on it are the ability to draw dots and connect them with lines, and the understanding of four ideas related to graphs: degree, diameter, planarity, and size. With ideas for discussion.
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