In this blog series, we're highlighting math modeling modules and articles that explore real-world issues that have broad implications. Topic Summary Gerrymandering is the political manipulation of electoral district boundaries with the intent to...
In this blog series, we're highlighting math modeling modules and articles that explore real-world issues that have broad implications. Voting models play a crucial role in elections, and can shape the outcomes differently depending on the algorithms...
When we think about future innovators—those who will drive breakthroughs in technology, science, and business—we don’t always consider how fundamental math is to their success. But at the core of many innovations is something as powerful as math...
When binary data are transmitted electronically, in telecommunications, computers, and CD players, errors may occur in the binary digits (bits). To correct them, extra check digits are sent along with the information digits, so message sequences are...
Book/Course 1: Developing Mathematics through Applications: Elementary Chapter 1 Measurement Instructor Notes Solutions 1.1 Measuring Length 1.2 Linear Measurement and the Pythagorean Theorem 1.3 Describing the Results of a Measurement 1.4 Measuring a...
Introduction While relatively few people (just a million or two) in our world of more than six billion people actually know the language of Esperanto, many people realize that it is an attempt to establish an international language- one of many such...
Teacher notes In Activity 1, students use two types of sequences to model population growth over time. The assumption that population grows by a constant amount each year leads to an arithmetic- sequence. A more realistic assumption that population...
Table of Contents Front Matter Unit 1 : Unit Conversions Unit 2 : Agricultural Aviation Unit 3 : Washington Apples Unit 4 : Erosion Problems Unit 5 : Negotiating the Maze Unit 6 : Growing Degree Days Unit 7 : Growing Degree Days Projects Unit 8 : More...
Table of Contents Front Matter Unit 1 : Unit Conversions Unit 2 : Agricultural Aviation Unit 3 : Washington Apples Unit 4 : Erosion Problems Unit 5 : Negotiating the Maze Unit 6 : Growing Degree Days Unit 7 : Growing Degree Days Projects Unit 8 : More...
The context for this Pull‑Out is modeling packaging of products and determining measures of efficiency for package designs. Nearly every product purchased from a store has at least one layer of packaging. Designing packages involves mathematics,...
The context for this module is modeling packaging of products and determining measures of efficiency for package designs. Nearly every product purchased from a store has at least one layer of packaging. Designing packages involves mathematics,...
The context for this modeling module is determining the best configuration for an energy storage system to support an off‑the‑grid house powered by solar panels. The problem posed in this modeling module is adapted from the 2021 High School...
The context for this modeling pull-out is determining the best configuration for an energy storage system to support an off‑the‑grid house powered by solar panels. The problem posed in this modeling module is adapted from the 2021 High School...
The Mathematical Modeling Handbook is intended to support the implementation of the Common Core State Standards high school Mathematics Modeling conceptual category. The CCSS document provides a brief description of mathematical modeling accompanied by...
Mathematical Handbook II: The Assessments - What does it mean to be able to mathematically model successfully? Modeling has several aspects as we know from the structure of the modeling cycle. Moreover, performance-based assessments are difficult to...
Introduction Introduction Many colleges and universities have a first-year seminar program, serving as a crucial bridge for new students entering higher education. These seminars introduce the rigors of college-level work through writing assignments,...
Section 1 introduces Zeller's congruence with motivational problems. Section 2 deals with the greatest integer function, applications and graphs. Section 3 uses clock arithmetic and the step function to practice Zeller's formula. Section 4 covers...
The last Geometer's Corner showed how the cube can be transformed into several Archimedian Solids, which are shown in Figure 1. I have included the Truncated Octahedron, which belongs in the list since the Octahedron is the Dual of the Cube, and if you...
With completion of this module students will: 1) be able to state four purposes for fitting an equation to data, and give an example of each; 2) know what experimental error is and that it is present in all real experiments; 3) be able to make a...
The history of mathematics abounds in concepts each bearing the name of some great discoverer or diligent student of that concept. From ancient times we see the emergence of Euclidean geometry or its more recent counterparts, that is, the geometries of...