Activity
Lawrence Hall of Science

The Math Page: An Approach to Calculus: Continuous Versus Discrete

For Students 9th - 10th Standards
Here is a site that clearly and thoroughly explains the the notion that calculus is the study of continuity. This page is mostly discussion of the difference between a continuous quantity and a discrete quantity. Point this site out to...
Article
Other

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.
Lesson Plan
Google

Google for Education: Applyng Discrete and Continuous Data in a Spreadsheet

For Teachers 9th - 10th
Students collect data in a spreadsheet and learn to use various functions and analysis tools to better see patterns in their eating habits.
Lesson Plan
Google

Google for Education: Applying Discrete and Continuous Data in a Map

For Teachers 9th - 10th Standards
Using various tools, student will be able to analyze and calculate the amount of urban open space available in their city.
Handout
University of Glasgow

Steps Statistics Glossary: Discrete Random Variable

For Students 9th - 10th Standards
An overview of the term "discrete random variable." The site continues with the definition "continuous random variable" so that the user may compare the two.
Handout
Rice University

Hyper Stat Online Statistics Textbook: Continuous and Discrete Variables

For Students 9th - 10th Standards
The basic definitions of continuous and discrete statistics variables are provided here.
Unknown Type
Khan Academy

Khan Academy: Mean (Expected Value) of a Discrete Random Variable Practice

For Students 10th - 12th Standards
A practice word problem asking students to calculate the mean of B in a probability chart.
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.
Unknown Type
Khan Academy

Khan Academy: Discrete Random Variables: Expected Value

For Students 9th - 10th Standards
Compute the expected value given a set of outcomes, probabilities, and payoffs. Students receive immediate feedback and have the opportunity to try questions repeatedly or receive hints.
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
Mathigon

Mathigon: Probability and Discrete Math: Introduction

For Students 9th - 10th Standards
This is an introduction to the study of probability. It tells the story of two of the greatest mathematicians, Blaise Pascal and Pierre de Fermat, who used coin tosses of heads or tails to determine who paid the bill. It led to the...
Handout
University of Pittsburgh

University of Pittsburgh: Discrete Mathematics Relations

For Students 10th - 12th
A pdf version of lecture notes covering a variety of relations.
PPT
NC State University

Nc State University: 4.2 (Cont.) Expected Value of a Discrete Random Variable

For Students 10th - 12th
A PowerPoint explaining and showing examples of how to measure the mean of the values of a random variable.
eBook
Mathigon

Mathigon: Probability and Discrete Math: Predicting the Future

For Students 9th - 10th Standards
This lesson focuses on probability theory for predicting the outcome of flipping a coin, and then flipping it multiple times.
eBook
Mathigon

Mathigon: Probability and Discrete Math: Monty Hall

For Students 9th - 10th
This lesson focuses on the Monty Hall game where you select one of three doors. It explains your odds based on your choices.
eBook
Mathigon

Mathigon: Probability and Discrete Math: Casino Mathematics

For Students 9th - 10th Standards
This lesson focuses on the probability and casino games such as Roulette which consists of a wheel with the numbers from 1 to 36 colored in red and black, as well as a green 0. A ball rolls around the outside and randomly lands on one of...
eBook
Mathigon

Mathigon: Probability and Discrete Math: True Randomness

For Students 9th - 10th
This lesson focuses on randomness; it explains that what we often think of as random is only random because we do not have the tools to make better predictions. However, true randomness does exists -- at the very foundations of matter. A...
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.
eBook
Mathigon

Mathigon: Probability and Discrete Math: What Are Probabilities

For Students 9th - 10th Standards
This lesson focuses on probability, a number between 0 and 1 which describes the likelihood of a certain event. A probability of 0 means that something is impossible; a probability of 1 means that something is certain.
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
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.
Handout
Wolfram Research

Wolfram Math World: Graphs

For Students 9th - 10th
MathWorld.com shows many types of discrete math graphs and provides links to related topics.
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.
Unit Plan
CK-12 Foundation

Ck 12: Probability: Probability Distribution Grades 11 12

For Students 11th - 12th Standards
[Free Registration/Login may be required to access all resource tools.] This Concept introduces students to discrete probability distributions.

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