Article
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The University of Edinburgh: Discrete Mathematics Graphs

For Students 10th - 12th
This article is an in-depth look at graphs. Topics covered are graph models, terminology, representations of graphs, graph isomorphism, connectivity, Euler and Hamiltonian Paths, and more. Examples and explanations are included.
Activity
Wolfram Research

Wolfram Math World: Discrete Mathematics Topics List

For Students 9th - 10th
A thorough list of topics in the study of Discrete Mathematics. Combinatorics, Graph Theory, and Point Lattices are three of the many areas given in-depth explanations here. Many of the links contain discussions of the topics that both...
Interactive
Wolfram Research

Wolfram Alpha: Examples for Discrete Mathematics

For Students 10th - 12th
Discrete mathematics deals with areas of mathematics that are discrete, as opposed to continuous, in nature. Sequences and series, counting problems, graph theory and set theory are some of the many branches of mathematics in this...
Activity
University of Colorado

University of Colorado: Graph Theory Activities

For Students 9th - 10th
This series of activities incorporates the concept of graph theory into the discrete mathematics classroom. Students work in a group to solve problems using graph theory.
eBook
Other

Core Plus: Discrete Mathematics

For Students 10th - 12th Standards
The Contemporary Mathematics in Context series provides a common core of broadly useful mathematics for all students. The discrete mathematics strand develops student ability to model and solve problems involving enumeration, sequential...
Handout
University of Pittsburgh

University of Pittsburgh: Discrete Mathematics Graphs

For Students 10th - 12th
A pdf version of lecture notes covering a variety of graphical representations.
eBook
Other

Discrete Mathematics: Euler Paths and Circuits

For Students 10th - 12th
Explanation and questions about Euler paths and circuits with solutions to the questions.
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.
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Other

Graphs, Stories, and Games: Games on Graphs

For Students 3rd - 5th
What a great way to make math fun for your elementary students! Learning happens almost by osmosis by using this interesting game that uses stories, a graph (the kind of graph defined in the branch of mathematics called Graph Theory),...
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...
Activity
Varsity Tutors

Varsity Tutors: Hotmath: Graphing Calculator Practice: Discrete Mathematics and Probability

For Students 9th - 10th
Practice using your graphing calculator for factorial, combination, and permutation expressions. If you get stumped or if you would like to check your work, then select the View Solution button, which is located directly under each problem.
Activity
Texas Instruments

Texas Instruments: Inequality Graphing App

For Teachers 9th - 10th
This activity investigates the use of the Inequality Graphing App of the TI-83 Plus/TI-84 Plus to solve a linear programming problem.
Handout
Wikimedia

Wikipedia: Graph Theory

For Students 9th - 10th
Wikipedia provides an introduction and overview of graph theory. In addition to introducing the basic terms, there are related links to classic problems in graph theory such as the traveling salesman problem and Dijkstra's algorithm.
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.
Unit Plan
Texas Education Agency

Texas Gateway: Determining Reasonable Domains and Ranges (Verbal/graph)

For Students 9th - 10th
Given a graph and/or verbal description of a situation (both continuous and discrete), the student will identify mathematical domains and ranges and determine reasonable domain and range values for the given situations.
Handout
Wikimedia

Wikipedia: Seven Bridges of Konigsberg

For Students 9th - 10th
This Wikipedia site introduces the seven bridges of Konigsberg problem, a classic graph theory problem solved by the mathematician Euler in the 18th century.
Activity
Texas Instruments

Texas Instruments: Numb3 Rs: Guarding the Goods (Part I)

For Teachers 9th - 10th
Based off of the hit television show NUMB3RS, this lesson introduces students to the Art Gallery Problem, in which the number of guards necessary to guard a two-dimensional space (the "art gallery") must be found. This lesson keeps the...
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: S cp.b.9: Random Walk Iii

For Teachers 9th - 10th
The task provides a context of "random walking" to calculate discrete probabilities and represent them on a bar graph. Aligns with S-CP.B.9.
Activity
Texas Instruments

Texas Instruments: Numb3 Rs: The Art Gallery Problem

For Teachers 9th - 10th
Based off of the hit television show NUMB3RS, this lesson introduces students to the Art Gallery Problem, in which cameras must be placed so that the entire area of a floor can be seen. Students use their graphing calculators extensively...
Unit Plan
CK-12 Foundation

Ck 12: Algebra: Solving Linear Systems Using Matrices and Technology

For Students 10th - 12th Standards
[Free Registration/Login may be required to access all resource tools.] This lesson covers using a graphing calculator and matrices to solve a system of equations.
Handout
Wolfram Research

Wolfram Math World: Closed Set

For Students 9th - 10th
Site gives four different definitions of a closed set in mathematics. Each of the definitions has at least one link for further clarification. The site also expresses which of these definitions is most commonly encountered.
Activity
Texas Instruments

Texas Instruments: Numb3 Rs: Guarding the Goods (Part Ii)

For Teachers 9th - 10th
Based off of the hit television show NUMB3RS, this lesson introduces students to the Art Gallery problem, in which guards must be placed so that an entire area is guarded. This lesson may be used concurrently with Guarding the Goods...
Handout
Wolfram Research

Wolfram Math World: Edge Connectivity

For Students 9th - 10th
A description of edge connectivity, that relates to vertex connectivity.
Handout
Wolfram Research

Wolfram Math World: Vertex Connectivity

For Students 9th - 10th
A description of vertex connectivity, that relates to edge connectivity.