Institute of Electrical and Electronics Engineers
Coloring Discrete Structures
What's the least number of colors needed to color a U.S. map? The lesson begins by having pupils view a video clip on continuous and discrete phenomenon, then launches into an activity reminiscent of Zeno's paradox. A separate video and...
EngageNY
Probability Distribution of a Discrete Random Variable
Learn how to analyze probability distributions. The sixth installment of a 21-part module teaches pupils to use probability distributions to determine the long-run behavior of a discrete random variable. They create graphs of probability...
Curated OER
Graphs and Data
Students investigate poverty using graphs. In this algebra lesson, students collect data on the effects of poverty and use different rules to analyze the data. They graph and use the trapezoid rule to interpret the data.
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
Data Analysis, Probability, and Discrete Mathematics
Fourth graders analyze the data in a bar graph, pictograph, line graph, and a chart/table and draw conclusions based on the data. They discuss each type of graph, write questions for each graph, and analyze the data as a class.
Curated OER
Data Analysis, Probability, and Discrete Math: Line Graphs
Eighth graders analyze data from line graphs. They discuss the purpose of line graphs, identify the parts of a line graph, answer questions about various graphs, and complete a worksheet. This lesson includes a script to teach along with.
TryEngineering
Choose Your Best Way
Find the best path through town. The lesson teaches future computer programmers about networks and paths in graph theory. They develop a network of their towns to determine the most efficient path to visit each of their homes.
Illustrative Mathematics
US Garbage, Version 1
An interesting example of a discrete function and how it is applies to the real world. This could easily make a good collaborative lesson with an environmental science class. Practice reading a table and drawing a scatter plot make up...
Mathematics Assessment Project
Shelves
Don't leave this task on the shelf — use it is assess middle schoolers understanding of patterns. Participants try to discover a pattern in the number of bricks and planks used to make shelves. They then match descriptions and equations...
Curated OER
Data Analysis, Probability, and Discrete Mathematics: Lesson 4
Eighth graders investigate the concepts of probability while performing data analysis. They apply statistical methods in order to measure or predict some possible outcomes. The information is collected and graphed, 8th graders analyze...
Curated OER
Representing Data
Second and third graders answer questions based on data presented to them in graphs. They see how to interpret data from a bar graph, line graph, and a chart.
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.
EngageNY
Why Stay with Whole Numbers?
Domain can be a tricky topic, especially when you relate it to context, but here is a activity that provides concrete examples of discrete situations and those that are continuous. It also addresses where the input values should begin...
Curated OER
VARIABLES AND PATTERNS, USE AFTER INVESTIGATION THREE. DISCRETE OR CONTINUOUS LINEAR RELATIONS.
Learners discover for which kind of linear function is appropriate to use the "scatter" or the "connected" term. In this lesson, students investigate functions using variables, patterns book, graph paper, rulers and the graphit program.
Curated OER
Algebra/Geometry Institute Summer 2007: Graphing Activity
Seventh graders practice identifying coordinates by examining a city map. In this graphing lesson, 7th graders create coordinate directions on an index card and practice locating these locations on a grid. Students read and discover...
Curated OER
Organizing Data
In this organizing data instructional activity, 7th graders solve seven different types of problems related to data. They first identify the type of data as categorical, discrete or continuous from the information given. Then, students...
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.
Mathematics Vision Project
Linear and Exponential Functions
Provide a continuous progression to linear and exponential functions. Pupils continue to work with the discrete functions known as sequences to the broader linear and exponential functions. The second unit in a series of nine provides...
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
Features of Functions
What are some basic features of functions? By looking at functions in graphs, tables, and equations, pupils compare them and find similarities and differences in general features. They use attributes such as intervals of...
Curated OER
Leadership Program in Discrete Mathematics
Young scholars find the total cost of the items in the song, "The 12 Days of Christmas."
Illustrative Mathematics
Fishing Adventures 2
This resource is part of a series which expects participants to be familiar with graphing inequalities on a number line. It is a word problem that asks your class to graph a discrete solution set and interpret it in the context of an...
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...