Illustrative Mathematics
Bank Account Balance
Represent the ups and downs of a bank account. The two-part task points out that some types of graphs may better show discrete functions than others. Pupils analyze a graph on how well it represents the situation. They develop their own...
Curated OER
Basic Algebra and Graphing for Electric Circuits
In this electronics worksheet, students evaluate mathematical expressions to complete 16 short answer and problem solving questions.
Balanced Assessment
Garages and Phones
Examine and compare a linear and step function. The task provides two scenarios, one modeled by a linear function and the other a step function. Pupils create a graph for each and explain how each compares to the other.
Mathematics Vision Project
Module 4: Rational Functions
Time to study the most sensible function — rational functions! The seven-lesson unit develops the concept of a rational function through a connection to rational numbers and fractions. Scholars graph functions, solve equations, and...
Mathematics Vision Project
Module 2: Linear and Exponential Functions
Write, graph, and model all things linear and exponential. Building on the previous module in a nine-part Algebra I series, learners compare linear exponential modeling. They write equations, graph functions, and analyze key features.
Mathematics Vision Project
Module 3: Polynomial Functions
An informative module highlights eight polynomial concepts. Learners work with polynomial functions, expressions, and equations through graphing, simplifying, and solving.
Balanced Assessment
Melons and Melon Juice
Model the difference between the graphs of discrete and continuous functions. Scholars examine two scenarios and construct graphs to model the situation. They then compare their graphs that illustrate the subtle difference between these...
Curated OER
Data Management and Probability: Applications
In this data management and probability applications worksheet, 8th graders solve 20 various types of probability problems. They find the mean, median, mode and range of various numbers. Then, students use the spinner illustration to...
Other
The University of Edinburgh: Discrete Mathematics Graphs
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.
Wolfram Research
Wolfram Math World: Discrete Mathematics Topics List
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...
Wolfram Research
Wolfram Alpha: Examples for Discrete Mathematics
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...
University of Colorado
University of Colorado: Graph Theory Activities
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.
Other
Core Plus: Discrete Mathematics
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...
University of Pittsburgh
University of Pittsburgh: Discrete Mathematics Graphs
A pdf version of lecture notes covering a variety of graphical representations.
Other
Discrete Mathematics: Euler Paths and Circuits
Explanation and questions about Euler paths and circuits with solutions to the questions.
Other
Study.com: Graphs in Discrete Math: Definition, Types & Uses
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.
Other
Graphs, Stories, and Games: Games on Graphs
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),...
Wolfram Research
Wolfram Math World: World's Most Extensive Mathematics Resource
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...
Varsity Tutors
Varsity Tutors: Hotmath: Graphing Calculator Practice: Discrete Mathematics and Probability
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.
Wikimedia
Wikipedia: Graph Theory
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.
Other
Los Alamos National Laboratory: Games on Graphs
Learn to understand graphs and graph theory by playing games from Los Alamos National Laboratory. The site also provides definitions and related links.
Texas Education Agency
Texas Gateway: Determining Reasonable Domains and Ranges (Verbal/graph)
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.
Wikimedia
Wikipedia: Seven Bridges of Konigsberg
This Wikipedia site introduces the seven bridges of Konigsberg problem, a classic graph theory problem solved by the mathematician Euler in the 18th century.
CK-12 Foundation
Ck 12: Algebra: Solving Linear Systems Using Matrices and Technology
[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.