In this lesson, student groups create a short, simple play based on their study of broadsides written just before the American Revolution. By analyzing the attitudes and political positions are revealed in the broadsides, students learn about the sequence of events that led to the Revolution

Drawing on the resources of the Library of Congress's Printed Ephemera Collection, this lesson helps students experience the news as the colonists heard it: by means of broadsides, notices written on disposable, single sheets of paper that addressed virtually every aspect of the American Revolution.

In this lesson students read a description of a slave's walk through colonial New York City and determine which laws he broke and which laws he followed. Students then write a journal entry from the perspective of either a slave or a slaveowner reacting to colonial New York's slave codes.

This collection uses primary sources to explore religion during the Colonial period of US History. Digital Public Library of America Primary Source Sets are designed to help students develop their critical thinking skills and draw diverse material from libraries, archives, and museums across the United States. Each set includes an overview, ten to fifteen primary sources, links to related resources, and a teaching guide. These sets were created and reviewed by the teachers on the DPLA's Education Advisory Committee.

This collection uses primary sources to explore the motivations and realities behind life in the American colonies. Digital Public Library of America Primary Source Sets are designed to help students develop their critical thinking skills and draw diverse material from libraries, archives, and museums across the United States. Each set includes an overview, ten to fifteen primary sources, links to related resources, and a teaching guide. These sets were created and reviewed by the teachers on the DPLA's Education Advisory Committee.

This lesson focuses on John Winthrop's historic "Model of Christian Charity" sermon which is often referred to by its"City on a Hill" metaphor. Through a close reading of this admittedly difficult text, students will learn how it illuminates the beliefs, goals, and programs of the Puritans. The sermon sought to inspire and to motivate the Puritans by pointing out the distance they had to travel between an ideal community and their real-world situation.

Make a whole rainbow by mixing red, green, and blue light. Change the wavelength of a monochromatic beam or filter white light. View the light as a solid beam, or see the individual photons.

The purpose of this task is to help students understand the connection between counting and cardinality. Thus, oral counting and recording the number in digit form are the most important aspects of this activity. However, teachers can extend this by making a bar graph about how many students are wearing the color each day.

This art history video discussion looks at the Colosseum (Amphitheatrum Flavium), c. 70-80 C.E., Rome.

This video features a Smarthistory conversation between Dr. Beth Harris and Dr. Steven Zucker in front of the Colossus of Constantine, c. 312-15 (the first Christian Emperor of Rome). Palazzo dei Conservatori, Musei Capitolini, Rome.

This art history video discussion examines the Column of Trajan, Carrara marble, completed 113 C.E., Rome. Dedicated to Emperor Trajan (Marcus Ulpius Nerva Traianus b. 53 , d. 117 C.E.) in honor of his victory over Dacia (now Romania) 101-02 and 105-06 C.E.

This classroom activity for high school students uses a collection of Hubble Space Telescope images of galaxies in the Coma Cluster. Students study galaxy classification and the evolution of galaxies in dense clustered environments.

This course analyzes combinatorial problems and methods for their solution. Topics include: enumeration, generating functions, recurrence relations, construction of bijections, introduction to graph theory, network algorithms, and extremal combinatorics.

Thorough treatment of linear programming and combinatorial optimization. Topics include network flow, matching theory, matroid optimization, and approximation algorithms for NP-hard problems. 18.310 helpful but not required.

Content varies from year to year. An introduction to some of the major topics of present day combinatorics, in particular enumeration, partially ordered sets, and generating functions. This is a graduate-level course in combinatorial theory. The content varies year to year, according to the interests of the instructor and the students. The topic of this course is hyperplane arrangements, including background material from the theory of posets and matroids.

Content varies from year to year. An introduction to some of the major topics of present day combinatorics, in particular enumeration, partially ordered sets, and generating functions. This course serves as an introduction to major topics of modern enumerative and algebraic combinatorics with emphasis on partition identities, young tableaux bijections, spanning trees in graphs, and random generation of combinatorial objects. There is some discussion of various applications and connections to other fields.

Combinatorics is an upper-level introductory course in enumeration, graph theory, and design theory.

his book is an introduction to combinatorial mathematics, also known as combinatorics. The book focuses especially but not exclusively on the part of combinatorics that mathematicians refer to as “counting.” The book consists almost entirely of problems. Some of the problems are designed to lead you to think about a concept, others are designed to help you figure out a concept and state a theorem about it, while still others ask you to prove the theorem. Other problems give you a chance to use a theorem you have proved. From time to time there is a discussion that pulls together some of the things you have learned or introduces a new idea for you to work with. Many of the problems are designed to build up your intuition for how combinatorial mathematics works. There are problems that some people will solve quickly, and there are problems that will take days of thought for everyone. Probably the best way to use this book is to work on a problem until you feel you are not making progress and then go on to the next one. Think about the problem you couldn’t get as you do other things. The next chance you get, discuss the problem you are stymied on with other members of the class. Often you will all feel you’ve hit dead ends, but when you begin comparing notes and listening carefully to each other, you will see more than one approach to the problem and be able to make some progress. In fact, after comparing notes you may realize that there is more than one way to interpret the problem. In this case your first step should be to think together about what the problem is actually asking you to do. You may have learned in school that for every problem you are given, there is a method that has already been taught to you, and you are supposed to figure out which method applies and apply it. That is not the case here. Based on some simplified examples, you will discover the method for yourself. Later on, you may recognize a pattern that suggests you should try to use this method again.

The primary purpose of this problem is to rewrite simple rational expressions in different forms to exhibit different aspects of the expression, in the context of a relevant real-world context (the fuel efficiency of of a car). Indeed, the given form of the combined fuel economy computation is useful for direct calculation, but if asked for an approximation, is not particularly helpful.

This short video and interactive assessment activity is designed to teach fourth graders about combining units using addition and subtraction (metric units).