University of Colorado
University of Colorado: Fair Division Activities
A series of activities in fair division allows students to work in groups on discrete math concepts. Tips are included on how to incorporate the activities into other math areas, including Algebra and Geometry.
Wolfram Research
Wolfram Math World: Topology: Topics
A dozen topology topics are listed here for both the teacher's and the student's use. Knot Theory, Bundles, and Topology Structures are just some of the areas which are explored in depth. Detailed explanations and necessary sketches and...
ReadWriteThink
Read Write Think: Exploring Sets Through Math Related Book Pairs
After reading two math-related books, students investigate their home and school environments to find examples of objects that come in sets and then create their own books on sets.
University of California
University of California: Maximum/minimum Problems
The following problems are maximum/minimum optimization problems. They illustrate one of the most important applications of the first derivative.
Other
The Actuarial Foundation: Let's Go to the Mall! Explorations in Combinatorics
Let's Go to the Mall! is designed to help students understand the connection between various kinds of combinations (multiplication principle and choose numbers) and permutations.
Other
My Maths Teacher: The Route Inspection Problem
Pdf of slides that describes the Chinese postman problem.
Texas Instruments
Texas Instruments: Numb3 Rs: Pack It In
Based off of the hit television show NUMB3RS, this lesson introduces students to the Knapsack Problem, a discrete mathematics situation in which a knapsack is to be filled with a series of objects, each with various weights, sizes, or...
Analyze Math
Analyze Math: The Inverse of a Square Matrix
Learners explore the discrete mathematics topic of matrices. The tutorial demonstrates how to calculate the inverse of a square matrix. The activity includes examples with 2 by 2 and 3 by 3 matrices.
Analyze Math
Analyze Math: Matrix Addition and Multiplication
Learners explore the discrete mathematics topic of matrices. The tutorial demonstrates how to add and multiply matrices. Some topics explored are scalar multiplication, multiplication of two matrices, square matrices, and addition of two...
Maths Challenge
Maths challenge.net: Problem Solving Database
Need some challenging problem-solving work for your students in the following areas: Discrete, Geometry, Numbers, and Code Breaking? This is the place for an enormous database of problems aimed at high school age students. They are...
Wolfram Research
Wolfram Math World: Closed Set
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.
Paul Dawkins
Paul's Online Notes: Optimization
Optimizations problems with examples, solutions, and links to further explain methods to solve.
University of Georgia
University of Georgia: Jim Wilson: Vertex Edge Connection
Explanation of adjacency matrix and how to construct them with examples.
Success Link
Success Link: Exploring Limits and Recursive Sequences
A well laid-out lesson plan that uses a classroom simulation to show the medicine level in the body over a period of time. Students track on a chart the process of intake/elimination and problem solve what happens to the medicine over time.
University of Regina (Canada)
University of Regina: Math Central: Thoughts on Teaching Perm. And Combin.
An article written for teachers with recommendations on how to present permutations, combinations, and the binomial theorem to students. It contains both useful suggestions about order of presentation and many class examples. A good...
National Council of Teachers of Mathematics
The Math Forum: Math Topics: Topology: Knot Theory
An extensive collection of sites on the topic of Knot Theory. Links to dozens of sites are provided which take the user from the basic definition of KT, through to detailed Applet programs which create knots on the spot. NOTE: Some links...
Alabama Learning Exchange
Alex: Interpreting Functions
During this lesson, students will be introduced to interpreting functions. A function is a relationship between two sets: the domain (input values) and the range (output values).
Texas Instruments
Texas Instruments: Numb3 Rs: Dna Sequencing Alignment
Based off of the hit television show NUMB3RS, this lesson has student find the level of similarity between two different-length strands of DNA. Connections to Djikstra's algorithm are mentioned, and students learn more to follow careful...
Texas Instruments
Texas Instruments: Numb3 Rs: Percolation Theory
Based off of the hit television show NUMB3RS, this lesson introduces students to the chaotic topic of Percolation Theory, in which the major question is "Can you get there from here?" Students use their calculators extensively in their...
Texas Instruments
Texas Instruments: Inequality Graphing App
This activity investigates the use of the Inequality Graphing App of the TI-83 Plus/TI-84 Plus to solve a linear programming problem.
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.
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.
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.
Texas Instruments
Texas Instruments: Numb3 Rs: Guarding the Goods (Part Ii)
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...
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