Courses tagged with "Taking derivatives" (363)

This course will focus on the wars and military conflicts that have shaped the social, political, and economic development of the United States from the colonial era through the present.  You will learn how these conflicts have led to significant changes in America social and political life during this 300-year period.  The course will be structured chronologically.  Each unit will include representative primary-source documents that illustrate important overarching themes, such as how colonial conflicts in the 18th century shaped the political organization of the United States, how regional conflicts in the 19th century culminated in the Civil War, how America cemented its status as a major world power through participation in the First and Second World Wars, how Cold War conflicts destabilized American social and political life, and how modern conflicts continue to redefine American social and political values and ideals.  By the end of the course, you will understand how three centuries of warfare have…

This course will introduce you to a comparative history of New World societies from 1400 to 1750. You will learn about European exploration and colonization as well as the cultures of native peoples of the Americas. The course will be structured geographically; each unit will focus on a particular New World society during a specific time period. Each unit will include representative primary-source documents that illustrate important overarching political, economic, and social themes, such as the fifteenth-century conceptualization of the “New World” and colonization, the indigenous peoples living in the Americas at the time of European contact, and the effect of New World societies on native peoples and Africans. By the end of the course, you will understand how the new communities in the New World evolved from fledgling settlements into profitable European colonies and how New World societieswhether French, Spanish, Portuguese, English, or indigenouswere highly varied polities.

This course will introduce you to the history of Central Eurasia and the Silk Road from 4500 B.C.E to the nineteenth century.  You will learn about the culture of the nomadic peoples of Central Eurasia as well as the development of the Silk Road.  The course will be structured chronologically; each unit will focus on one aspect of the Silk Road during a specific time period.  Each unit will include representative primary- and secondary-source documents that illustrate important overarching political, economic, and social themes, such as the discovery and production of silk in China, diplomatic relations between Han China and nomadic peoples of the Eurasian steppe, the international scope of the Silk Road trade routes, European interest in finding a “new silk route” to China, and the “Great Game” between China, Russia, and Great Britain in Central Eurasia in the nineteenth century.  By the end of the course, you will understand how the Silk Road influenced the development of nomadic societies in Ce…

This course will introduce you to the history of the Middle East from the rise of Islam to the twenty-first century.  The course will emphasize the encounters and exchanges between the Islamic world and the West.  It will be structured chronologicallyeach unit will focus on the emergence of a particular Middle Eastern society or empire during a specific time period.  Each unit will include representative primary-source documents that illustrate important overarching political, economic, and social themes, such as the emergence of Islam in the seventh century, conflicts between Islamic and Christian peoples during the Crusades, European domination of Muslim territories in the nineteenth century, independence movements and the rise of nationalism in the 1900s, and the formation of Islamic fundamentalist groups and anti-Western sentiment in the latter twentieth century.  By the end of the course, you will understand how Islam became a sophisticated and far-reaching civilization and how conflicts with the Wes…

In the 1970s, the Chinese Communist leader Zhou Enlai was asked to assess the outcomes of the French Revolution of 1789.  He supposedly answered: “It is too soon to say.”  Though this story has a somewhat apocryphal status, it captures a fundamental truth about the world in which we live: it is a world which has been shaped by revolutions, and their legacies are always difficult to evaluate. In this course, you will gain a better understanding of the modern world by studying some of the most important political revolutions that took place between the 17th century and today.  You will seek to understand the causes of each revolution, analyze the ideologies that inspired the revolutionaries, examine revolutionary uses of violence, and consider how historical revolutions still shape contemporary politics.  Close and critical readings of historical sources will be crucial in this process. The course begins with a theoretical analysis of revolutions and a careful examination of pre-revolutionary Europe…

This course will focus on the emergence and evolution of industrial societies around the world.  We will begin by comparing the legacies of industry in ancient and early modern Europe and Asia and examining the agricultural and commercial advances that laid the groundwork for the Industrial Revolution of the 18th and 19th centuries.  We will then follow the history of industrialization in different parts of the world, taking a close look at the economic, social, and environmental effects of industrialization.  The course is organized chronologically and thematically.  Each unit will focus on key developments in the history of industry as well as on representative areas of the globe, using primary-source documents, secondary readings, and multimedia resources to illustrate the dynamic nature of industrial change.  By the end of the course, you will understand how industrialization developed, spread across the globe, and shaped everyday life in the modern era.

This course will focus on the history of humankind’s relationship with the environment.  We use the word “environment” to refer to the nonhuman components of the natural world.  We will examine how environmental factors have shaped the development and growth of civilizations around the world and analyze how these civilizations have altered their environments in positive and negative ways.  The course will be structured chronologically.  Each unit will include representative primary-source documents that illustrate important overarching themes, such as how early humans adapted natural resources for new purposes, how the expansion of civilizations led to environmental changes, how the interaction between European explorers and Native Americans led to significant and unexpected environmental consequences, and how modern societies have responded to environmental problems that threaten the well-being of humans and the environment.  By the end of the course, you will better understand the reciprocal rela…

This course provides an introduction to the history of technology for the Science, Technology, and Society (STS) major.  The course surveys major technological developments from ancient to modern times with particular attention to social, political, and cultural contexts in Europe and the United States.  You will also think critically about the theory of technological determinism, the ways in which technology has defined “progress” and “civilization”, and the major ethical considerations surrounding today’s technological decisions. This course begins with discussions of the promotion of technology in centralized states of the ancient and medieval worlds: the Roman Empire, Song and Ming China, and the Islamic Abbasid Empire.  After a period of relative decline, the states of Western Europe centralized and flourished once again, having benefited from the westward transmission of key ideas and technologies from the East. The focus of the course then shifts to the West, to the technologies of the…

Sixth-grade Language Arts marks a turning point for you in your academic career. After developing and practicing the skills necessary to develop a strong foundation for your success at the elementary level, you are now ready to embark on the next step in your journey as a reader and writer. Based on the Common Core State Standards, this course will help you grow as a reader and writer of both literary and informational text. You will read a number of complex, thematically related narratives, short stories, extended informational texts, and nonfiction articles. You will learn to analyze these varied texts, to identify key ideas and details, to compare and contrast major text elements, and to distinguish between those claims supported by evidence and those that are not. You will then try your hand at writing your own arguments and supporting them with research-based evidence, and you will work to improve your writing by taking it through the steps of the writing process. In your own life, these reading and wr…

Eighth-grade English Language Arts will provide you with a strong foundation for high school. Grounded in Common Core State Standards, the content of this course emphasizes critical reading, writing, and thinking. You will read and analyze high-quality literary and informational texts. You will write original texts in multiple genres. Language and its conventions will be emphasized throughout, and opportunities to examine the spoken word will be provided as well. Whether you choose to pursue higher education or the world of work, or both, you will be expected to have certain basic skills in reading, writing, speaking and listening. While you probably won’t be expected to write a poem on command, you will have to be able to express yourself clearly when you write and speak. This course includes challenging material which will help you build the skills you need to begin high school. As you progress through your remaining years as a student, you will continue to add and build upon the skills and knowledge yo…

English II is the second in a sequence of English courses for high school students. These courses seek to give you the necessary reading, writing, thinking, and research skills to find success in college or the workplace. As the second course, English II challenges you to look deeper within a text for its meaning and provide thoughtful, analytical, and persuasive responses. You will be expected to build literary analysis from the texts as well as outside sources of knowledge. You will first learn to dissect a text for varied levels of meaning, how to interpret this meaning with a critical eye, and how to look beyond the text for its relevance. You will then be expected to read a variety of fiction and nonfiction texts of different lengths, complexities, and genres, and respond to them through questions, annotations, independent research, and essay writing. Texts and assignments will gradually increase in rigor, challenging you to improve the efficacy and complexity of your analysis and writing skills. Bec…

English III, American Literature, explores the literature of America from the narratives of the early colonists to the foundational documents of our forefathers, and the literature of our modern times. In English III, you will gain a firm grasp of the various literary periods throughout American history as well as the ability to analyze different genres and styles of notable American authors. As you progress through the course, you will gain an appreciation for American literature and an understanding of how the literature of the day acted as a reflection of the historical period from which it evolved. This course will also give you the opportunity to hone your own writing skills as you identify the characteristics of effective writing for a variety of different purposes and audiences.

Eighth-grade English Language Arts will provide you with a strong foundation for high school. Grounded in Common Core State Standards, the content of this course emphasizes critical reading, writing, and thinking. You will read and analyze high-quality literary and informational texts. You will write original texts in multiple genres. Language and its conventions will be emphasized throughout, and opportunities to examine the spoken word will be provided as well. Whether you choose to pursue higher education or the world of work, or both, you will be expected to have certain basic skills in reading, writing, speaking and listening. While you probably won

English II is the second in a sequence of English courses for high school students. These courses seek to give you the necessary reading, writing, thinking, and research skills to find success in college or the workplace. As the second course, English II challenges you to look deeper within a text for its meaning and provide thoughtful, analytical, and persuasive responses. You will be expected to build literary analysis from the texts as well as outside sources of knowledge. You will first learn to dissect a text for varied levels of meaning, how to interpret this meaning with a critical eye, and how to look beyond the text for its relevance. You will then be expected to read a variety of fiction and nonfiction texts of different lengths, complexities, and genres, and respond to them through questions, annotations, independent research, and essay writing. Texts and assignments will gradually increase in rigor, challenging you to improve the efficacy and complexity of your analysis and writing skills. Bec…

English III, American Literature, explores the literature of America from the narratives of the early colonists to the foundational documents of our forefathers, and the literature of our modern times. In English III, you will gain a firm grasp of the various literary periods throughout American history as well as the ability to analyze different genres and styles of notable American authors. As you progress through the course, you will gain an appreciation for American literature and an understanding of how the literature of the day acted as a reflection of the historical period from which it evolved. This course will also give you the opportunity to hone your own writing skills as you identify the characteristics of effective writing for a variety of different purposes and audiences.

Eighth-grade English Language Arts will provide you with a strong foundation for high school. Grounded in Common Core State Standards, the content of this course emphasizes critical reading, writing, and thinking. You will read and analyze high-quality literary and informational texts. You will write original texts in multiple genres. Language and its conventions will be emphasized throughout, and opportunities to examine the spoken word will be provided as well. Whether you choose to pursue higher education or the world of work, or both, you will be expected to have certain basic skills in reading, writing, speaking and listening. While you probably won

People sometimes think that math is just about number crunching. However, that’s not always the case. Patterns and letters (called variables) are used in math to help represent real-life situations. In addition to learning about variables, parts of this course will help you see a side of math you might not have even realized is out there. This course includes six units. Topics covered include multiplication and division of fractions, ratio reasoning, unit rates, expressions, equations, area, surface area, volume, and statistics. As you work through the six units, you will notice that some of the material builds on your prior knowledge, while some of the concepts will be new ideas that will serve as building blocks for your future math career. In unit 1, you will build on your current understanding of fractions, multiplication, and division to understand why the procedures for multiplying and dividing fractions make sense. The number system in its basic sense is probably already familiar to you. During…

Numbers are everywhere. When we are shopping we are faced with decimals. In our cooking, we work with fractions. When it comes to the stock market, we can see positives and negatives. In this course, we will we focus on these rational numbers and understanding the operations when working with them. This course includes five units with rational numbers used throughout. In Unit 1, we will build on our skills with integers, decimals, and fractions, with a focus on the properties that are at the heart of adding, subtracting, multiplying, and dividing. These skills are used to help build an understanding of proportional relationships through ratios, rates, and scale drawings, and similar figures in Unit 2. Variables will join the rational numbers in Unit 3 so that real-life mathematical problems can be expressed and solved. Mathematical reasoning will continue to grow in this unit as simple equations and inequalities are used to model different real-life scenarios. Two-dimensional and three-dimensional shapes…

Algebra is incorporated into a lot of daily activities even when you don’t realize you are using it. Whether you are planning a vacation, deciding on a job, shopping, building something, planning a party, monitoring your heartbeat, or dieting, algebra can help you get a job done or make successful decisions. This course includes 10 units that will help you in this endeavor. This course is a continuation of the development of concepts and problem-solving methods learned in pre-algebra courses. Topics in this course include expressions, functions, equations and inequalities, exponentials, quadratics, piecewise and absolute value functions, systems, and statistics. The purpose of this course is to build a strong algebra background that is needed to be successful in the upper level mathematics courses, as well as to gain the logic needed to solve real-world applications. In Unit 1, you will build on your skills with activities that will help with the modeling and graphing in all future units. You will also…

Geometry comes from the Greek roots geo-, meaning Earth, and metron, meaning measure. Thus, geometry literally means the process of measuring the Earth. In a more mathematical sense, this course looks at geometric figures that we see in everyday life to understand the patterns in their attributes and how their measures relate to these patterns. It expands on the basic geometric concepts learned in previous math courses, through the applications of these concepts in new contexts. You will learn to develop formal proofs that support patterns and rules of geometric figures previously investigated, including congruent and similar figures, triangles, quadrilaterals, and circles. From here, the course expands on your knowledge about triangles and the Pythagorean theorem, introducing trigonometry of both right triangles and general triangles. The course will help you develop links between the attributes of two-dimensional and three-dimensional figures; help you develop formulas for calculating the volume of prisms…