Discrete Mathematics Teacher Resources

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Instructional Video
Massachusetts Institute of Technology

Mit: Blossoms: Who Do You Know? Theory Behind Social Networking

For Teachers 9th - 10th
Through videos and cooperative learning, students to are introduced to algorithmic thinking within a popular field in graph theory, social networking.
Activity
Texas Instruments

Texas Instruments: Numb3 Rs: Driving With Djikstra

For Teachers 9th - 10th
Based off of the hit television show NUMB3RS, this lesson introduces students to one of the prominent algorithms in graph theory used to find shortest paths -- the Djikstra Algorithm. The lesson includes four graphs of increasing...
Activity
Other

Los Alamos National Laboratory: Games on Graphs

For Students 9th - 10th
Learn to understand graphs and graph theory by playing games from Los Alamos National Laboratory. The site also provides definitions and related links.
Article
Other

Free Codecamp: How to Think in Graphs

For Students 10th - 12th
In this article, we're going to demonstrate various applications of graph theory. These applications will contain detailed illustrations. As the author states, if you've been looking for a "graph theory and everything about it tutorial...
eBook
Mathigon

Mathigon: Graphs and Networks: Graphs in Everyday Life

For Students 9th - 10th
This lesson focuses on graphs in everyday life including virtual graphs such as the Internet or physical computer networks of computers. It puts graph theory into practice and provides examples and learning exercises.
eBook
Mathigon

Mathigon: Graphs and Networks: Introduction

For Students 9th - 10th
This lesson provides an introduction to graph theory including directed graphs, disconnected graphs, subgraphs, and order and degrees of a graph.
eBook
Mathigon

Mathigon: Graphs and Networks: Planar Graphs

For Students 9th - 10th
Here is another puzzle that is related to graph theory. In a small village there are three utility plants producing water, electricity and gas respectively. There are also three houses which need to be served. Unfortunately, due to the...
eBook
Mathigon

Mathigon: Graphs and Networks: The Bridges of Konigsberg

For Students 9th - 10th
This lesson focuses on developing a way to cross all 7 Bridges of Konigsberg without crossing any of them more than once. Euler discovered it was impossible, but he developed the idea of using graph theory to determine if it would be...
Website
Wolfram Research

Wolfram Math World: World's Most Extensive Mathematics Resource

For Students 9th - 10th Standards
MathWorld provides a huge mathematics encyclopedia detailing the concepts of geometry, algebra, calculus, discrete math, number theory, and other math topics--complete with formulas, diagrams, examples, and references for thorough...
Unit Plan
Other

Study.com: Graphs in Discrete Math: Definition, Types & Uses

For Students 10th - 12th
This lesson will define graphs in discrete mathematics, and look at some different types. You'll also see how these types of graphs can be used in some real-world applications.
Instructional Video
Other

Shaunteaches: Degree or Valence of a Vertex

For Students 10th - 12th
The video is a walkthrough of the degree and valence value of vertices in graph theory.
Instructional Video
Other

The Trev Tutor: Discrete Math 1 Relations

For Students 10th - 12th
A video that describes various examples of relationships in discrete mathematics.
Handout
Wikimedia

Wikipedia: Matematica Discreta

For Students 9th - 10th
In Spanish. Overview of discrete math and various related topics. Also discusses the theories and mathematicians behind finite math.
Lesson Plan
University of Colorado

University of Colorado: Discrete Mathematics Project: Venn Diagram Activity

For Teachers 9th - 10th
A lesson plan on the use of Venn diagrams for problem-solving.
Unit Plan
Other

Tutorialspoint: Discrete Mathematics Relations

For Students 10th - 12th
Definitions, explanations and examples of relationships of the elements of sets.
Lesson Plan
University of Colorado

University of Colorado: Discrete Mathematics Project: What're the Odds?

For Teachers 9th - 10th Standards
This is an activity that may be instructive when trying to learn the concept of "odds" and how they are found.
Activity
Texas Instruments

Texas Instruments: Numb3 Rs: A Party of Six

For Teachers 9th - 10th
Based off of the hit television show NUMB3RS, this lesson use graph theory to examine social network analysis. Students form complete graphs with different colored edges (representing acquaintance or non-acquaintance), and determine how...
Instructional Video
Khan Academy

Khan Academy: Doodling in Math: Doodling in Math: Snakes + Graphs

For Students 9th - 10th
Video demonstrating some doodling games that illustrate mathematical concepts of graph theory, touching on topology and map theory.
Activity
Texas Instruments

Texas Instruments: Numb3 Rs: It's All Connected

For Teachers 9th - 10th
Based off of the hit television show NUMB3RS, this lesson uses students' knowledge of graph theory (networks) to introduce two measures of centrality (how connected a particular node is to the entire network), known as degree centrality...
Instructional Video
Khan Academy

Khan Academy: Vi Hart: Doodling in Math: Snakes + Graphs

For Students 9th - 10th
Video demonstrating some doodling games that illustrate mathematical concepts of graph theory, touching on topology and map theory. [4:25]
Activity
Texas Instruments

Texas Instruments: Numb3 Rs: The Konigsberg Bridge Problem

For Teachers 9th - 10th
Based off of the hit television show NUMB3RS, this lesson introduces students to the world of Graph Theory, by having them explore the Konigsberg Bridge Problem. Through this lesson, students will be able to determine if Euler paths...
Activity
Texas Instruments

Texas Instruments: Numb3 Rs: Shaken, Not Stirred

For Teachers 9th - 10th
Based off of the hit television show NUMB3RS, this lesson extends upon the classic Handshake Problem (in which everyone at a party shakes hands with everyone else -- how many handshakes were there?) by not allowing guests to shakes hands...
Activity
Texas Instruments

Texas Instruments: Numb3 Rs: Restaurant Rankings

For Teachers 9th - 10th
Based off of the hit television show NUMB3RS, this lesson combines the topics of graph theory and matrix multiplication in order to see the path of customer referrals to different fictional restaurants. Students create a matrix based off...
Instructional Video
Other

Hegartymaths: Chinese Postman Problem

For Students 10th - 12th
Video detailing route inspection problem with examples.

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Discrete Mathematics