This is a task from the Illustrative Mathematics website that is one part of a complete illustration of the standard to which it is aligned. Each task has at least one solution and some commentary that addresses important aspects of the task and its potential use.

This is a task from the Illustrative Mathematics website that is one part of a complete illustration of the standard to which it is aligned. Each task has at least one solution and some commentary that addresses important asects of the task and its potential use. Here are the first few lines of the commentary for this task: Sometimes hotels, malls, banks, and other businesses will present a display of a large, clear container holding a large number of items and ask custome...

This is a task from the Illustrative Mathematics website that is one part of a complete illustration of the standard to which it is aligned. Each task has at least one solution and some commentary that addresses important aspects of the task and its potential use.

This is a task from the Illustrative Mathematics website that is one part of a complete illustration of the standard to which it is aligned. Each task has at least one solution and some commentary that addresses important asects of the task and its potential use. Here are the first few lines of the commentary for this task: Jane wants to sell her Subaru Forester, but doesn’t know what the listing price should be. She checks on craigslist.com and finds 22 Subarus listed. Th...

This is a task from the Illustrative Mathematics website that is one part of a complete illustration of the standard to which it is aligned. Each task has at least one solution and some commentary that addresses important asects of the task and its potential use. Here are the first few lines of the commentary for this task: The scatterplot below shows the finishing times for the Olympic gold medalist in the men's 100-meter dash for many previous Olympic games. The least sq...

This is a task from the Illustrative Mathematics website that is one part of a complete illustration of the standard to which it is aligned. Each task has at least one solution and some commentary that addresses important asects of the task and its potential use. Here are the first few lines of the commentary for this task: Jane wants to sell her Subaru Forester and does research online to find other cars for sale in her area. She checks on craigslist.com and finds 22 Suba...

This is a task from the Illustrative Mathematics website that is one part of a complete illustration of the standard to which it is aligned. Each task has at least one solution and some commentary that addresses important asects of the task and its potential use. Here are the first few lines of the commentary for this task: Jerry forgot to plug in his laptop before he went to bed. He wants to take the laptop to his friend's house with a full battery. The pictures below sho...

This is a task from the Illustrative Mathematics website that is one part of a complete illustration of the standard to which it is aligned. Each task has at least one solution and some commentary that addresses important aspects of the task and its potential use.

This is a task from the Illustrative Mathematics website that is one part of a complete illustration of the standard to which it is aligned. Each task has at least one solution and some commentary that addresses important aspects of the task and its potential use.

The basic idea of this task is for students to demonstrate that they know what it means for two variables to be associated.

Students work as if they are electrical engineers to program a keyboard to play different audible tones depending on where a sensor is pressed. They construct the keyboard from a soft potentiometer, an Arduino capable board, and a small speaker. The soft potentiometer “keyboard” responds to the pressure of touch on its eight “keys” (C, D, E, F, G, A, B, C) and feeds an input signal to the Arduino-capable board. Each group programs a board to take the input and send an output signal to the speaker to produce a tone that is dependent on the input signal—that is, which “key” is pressed. After the keyboard is working, students play "Twinkle, Twinkle, Little Star" and (if time allows) modify the code so that different keys or a different number of notes can be played.

How can we translate real-world challenges into future business opportunities? How can individuals, organizations, and society learn and undergo change at the pace needed to stave off worsening problems? Today, organizations of all kinds--traditional manufacturing firms, those that extract resources, a huge variety of new start-ups, services, non-profits, and governmental organizations of all types, among many others--are tackling these very questions. For some, the massive challenges of moving towards sustainability offer real opportunities for new products and services, for reinventing old ones, or for solving problems in new ways. The course aims to provide participants with access and in-depth exposure to firms that are actively grappling with the sustainability-related issues through cases, readings and guest speakers.

The Software Tools for Academics and Researchers (STAR) program at MIT seeks to bridge the divide between scientific research and the classroom. Understanding and applying research methods in the classroom setting can be challenging due to time constraints and the need for advanced equipment and facilities. The multidisciplinary STAR team collaborates with faculty from MIT and other educational institutions to design software exploring core scientific research concepts. The goal of STAR is to develop innovative and intuitive teaching tools for classroom use. All of the STAR educational tools are freely available. To complement the educational software, the STAR website contains curriculum components/modules which can facilitate the use of STAR educational tools in a variety of educational settings. Students, teachers, and professors should feel welcome to download software and curriculum modules for their own use. Online Publication

The purpose of this class is to tell you something about our Tech Dinghy and how to sail it. This OCW site is arranged as a series of skills, explained both with lecture notes and videos. Please do not think of these skill checks as tests, but instead, as measures of your understanding of our sport. We don‰ŰŞt expect perfection from our beginners, but only that our members be able to safely handle the boats and themselves on the Charles. For those who wish it, there will be much more that can be learned about other boats and other waters, but what can be learned here will provide the basis to build on. For more detail, a text on sailing the Tech Dinghy is provided in the readings section.

This subject teaches students, having an initial interest in sailing design, how to design good yachts. Topics covered include hydrostatics, transverse stability, and the incorporation of the design spiral into one's working methods. Computer aided design (CAD) is used to design the shapes of hulls, appendages and decks, and is an important part of this course. The capstone project in this course is the Final Design Project in which each student designs a sailing yacht, complete in all major respects. The central material for this subject is the content of the book Principals of Yacht Design by Larssson and Eliasson (see further description in the syllabus). All the class lectures are based on the material in this book. The figures in the book which are shown in class (but not reproduced on this site), contain the essential material and their meaning is explained in detail during the lecture sessions. Mastery of the material in the book and completing a design project provides the desired and needed education.

This art history video discussion looks at Saint Peter's Basilica and the numerous architects (see below) who contributed to Saint Peter's Basilica (Basilica Sancti Petri in Latin), begun 1506 completed 1626, Vatican City. Architectural contributors include: Donato Bramante who's design won Julius II's competition; Antonio da Sangallo, a student of Bramante, designed the Pauline Chapel; Fra Giocondo strengthened the foundation; Raphael worked with Fra Giocondo, his redesigned building plan was not executed; Michelangelo designed the dome, crossing, and exterior excluding the nave and facade; Giacomo della Porta, designed the cupola; Carlo Maderno, extended Michelangelo's plan adding a nave and grand facade; Gian Lorenzo Bernini added the piazza, the Cathedra Petri, and the Baldacchino.

The purpose of this task is to have students add fractions with unlike denominators and divide a unit fraction by a whole number.

The purpose of this task is to engage students in Standard for Mathematical Practice 4, Model with mathematics and as such, the question as it is worded cannot be answered without making some assumptions. For example, if the items that are purchased do not have the same value, then the price reduction depends on the cost of the items.

Sales and Leases is a coursebook for a 3-credit course in personal property sales and leases – the subject matter of UCC Articles 2 and 2A. Adjustments could be made for other credit allocations and chapters can be used on a stand-alone basis. The course is designed so that students both review the rules and principles they studied in their first-year course in Contracts and learn the rules that apply to the subset of contracts for the sale and lease of goods. Students taking this course should be well-prepared to solve legal problems in contracts and sales, and should be well-prepared for those parts of the bar exam as well.

While the course in Contracts focuses on the rules of common-law contracts, the focus of this course is the rules found in legislation. Therefore, instead of emphasizing case analysis, the book contains a good deal of narrative that assists students in working through the complexity of the statutes. Students will need to supplement the book with a complete copy of the UCC that includes the Official Comments. Discussion of other statutes, such as UETA and Magnuson-Moss, is incorporated where appropriate.

The approach is problem-based, which we believe is more appropriate for an upper-division course based primarily on statutes. The narrative is interspersed with problems for class discussion that require students to apply the principles and rules to particular fact situations. Many times there is an issue of interpretation or policy in the Code, however, and therefore each chapter also contains at least one case that explores an issue arising under the statute.