This undergraduate level Algebra I course covers groups, vector spaces, linear transformations, symmetry groups, bilinear forms, and linear groups.
Best open source book in Discrete Math. Covers all the subjects in a standard Discrete Math class for mathematics or computer science students and contains sage cells for all subjects. Set Theory, Combinatorics, Logic, Relations, Recursion, Graph Theory, Trees, Algebraic Structures, Boolean Algebras, Automata, etc. Originally published commercially, its original text was peer-reviewed and was adopted for use at several universities throughout the country. Now in its open source version, has the same quality but it is free.
The goal of this class is to prove that category theory is a powerful language for understanding and formalizing common scientific models. The power of the language will be tested by its ability to penetrate into taken-for-granted ideas, either by exposing existing weaknesses or flaws in our understanding, or by highlighting hidden commonalities across scientific fields.
This article highlights the five essential components of cooperative learning, provides a quick overview of the research behind the strategy, describes three of the most common types, and offers ideas on how to get started using cooperative learning at the elementary level.
The 11th grade learning experience consists of 7 mostly month-long units aligned to the Common Core State Standards, with available course material for teachers and students easily accessible online. Over the course of the year there is a steady progression in text complexity levels, sophistication of writing tasks, speaking and listening activities, and increased opportunities for independent and collaborative work. Rubrics and student models accompany many writing assignments.Throughout the 11th grade year, in addition to the Common Read texts that the whole class reads together, students each select an Independent Reading book and engage with peers in group Book Talks. Students move from learning the class rituals and routines and genre features of argument writing in Unit 11.1 to learning about narrative and informational genres in Unit 11.2: The American Short Story. Teacher resources provide additional materials to support each unit.
In this unit, students will explore great works of American literature and consider how writers reflect the time period in which they write. They will write two literary analysis papers and also work in groups to research and develop anthologies of excellent American stories.
ACCOMPLISHMENTS
Students read and analyze stories from several 19th-, 20th-, and 21st-century American authors. After researching a time period, they select stories from that period to create an anthology. The readings enhance their understanding of the short story, increase their exposure to well-known American authors, and allow them to examine the influence of social, cultural, and political context.
Students examine elements of short stories and have an opportunity for close reading of several American short stories. During these close readings, they examine the ways that short story writers attempt to explore the greater truths of the American experience through their literature.
GUIDING QUESTIONS
These questions are a guide to stimulate thinking, discussion, and writing on the themes and ideas in the unit. For complete and thoughtful answers and for meaningful discussions, students must use evidence based on careful reading of the texts.
If you were to write a short story about this decade, what issues might you focus on?
What defines a short story? Just length?
To what extent do these stories reflect the era or decade in which they were written?
To what extent are the themes they address universal?
CLASSROOM FILMS
History.com has short videos on the Vietnam War (“Vietnam” and “A Soldier's Story”).
In this lesson, students will spend some time planning their individual essay. Then they will continue working on the group project exploring other American short story writers and their time periods.
In this lesson, students will work on their literary analysis paper, focusing on the thesis. They will also spend time on their group research project.
The 12th grade learning experience consists of 7 mostly month-long units aligned to the Common Core State Standards, with available course material for teachers and students easily accessible online. Over the course of the year there is a steady progression in text complexity levels, sophistication of writing tasks, speaking and listening activities, and increased opportunities for independent and collaborative work. Rubrics and student models accompany many writing assignments.Throughout the 12th grade year, in addition to the Common Read texts that the whole class reads together, students each select an Independent Reading book and engage with peers in group Book Talks. Language study is embedded in every 12th grade unit as students use annotation to closely review aspects of each text. Teacher resources provide additional materials to support each unit.
Who decides who among us is civilized? What rules should govern immigration into the United States? Whom should we let in? Keep out? What should we do about political refugees or children without papers? What if they would be a drain on our economy?
ACCOMPLISHMENTS
Students read William Shakespeare’s play The Tempest and write a short argument about who in the play is truly civilized.
Students participate in a mock trial in which they argue for or against granting asylum to a teenage refugee, and then they write arguments in favor of granting asylum to one refugee and against granting it to another.
Students read an Independent Reading text and write an informational essay about a global issue and how that relates to their book.
GUIDING QUESTIONS
These questions are a guide to stimulate thinking, discussion, and writing on the themes and ideas in the unit. For complete and thoughtful answers and for meaningful discussions, students must use evidence based on careful reading of the texts.
What role do national identity, custom, religion, and other locally held beliefs play in a world increasingly characterized by globalization?
How does Shakespeare’s view of human rights compare with that in the Universal Declaration of Human Rights?
Who is civilized? Who decides what civilization is or how it’s defined?
How do we behave toward and acknowledge those whose culture is different from our own?
What is the U.S. policy on immigration, especially for refugees? In this lesson, students will share responses on current issues in immigration. Then, as a class, they’ll jigsaw a fact sheet about immigration policy. They’ll get instructions about the Granting Refuge Activity.
Is immigration reform necessary? In this lesson, students will revise their narratives for sentence variety and proofread them. They’ll read Emma Lazarus’s poem “The New Colossus” and discuss what the poem says about immigrants. They’ll write about current issues regarding immigration.
In this lesson, you'll work with a partner to brainstorm ideas for research for your report. You'll review the Informational rubric and write a detailed outline.In this lesson, students will work with a partner to brainstorm ideas for research for their report. They’ll review the Grade 12 Informational Writing Rubric and write a detailed outline.
The laws that govern and the social norms that regulate society are not always fair, legal, moral, or ethical. What is a person to do about all this injustice? What are the hazards of righting injustices or changing social norms? And what are the dangers of doing nothing?
ACCOMPLISHMENTS
Students read and annotate Antigone, “Letter from a Birmingham Jail,” and Pygmalion.
Students write a literary analysis showing the effect of social class or the law on a character’s life.
GUIDING QUESTIONS
These questions are a guide to stimulate thinking, discussion, and writing on the themes and ideas in the unit. For complete and thoughtful answers and for meaningful discussions, students must use evidence based on careful reading of the texts.
How do social class and legal institutions shape literary characters’ lives (and presumably our lives)?
How does social class affect a person in dealing with the law (protect a person, hurt a person)?
How is social class determined in America and in other places in the world?
BENCHMARK ASSESSMENT: Cold Read
During this unit, on a day of your choosing, we recommend you administer a Cold Read to assess students’ reading comprehension. For this assessment, students read a text they have never seen before and then respond to multiple-choice and constructed-response questions. The assessment is not included in this course materials.
In this lesson, students will discuss in small groups whether Antigone, Thoreau, or Dr. King was the most courageous in his or her stand of civil disobedience. Then they will write a short argument about it.
In our lives, we are constantly telling stories to ourselves and to others in an attempt to both understand our experiences and present our best selves to others. But how do we tell a story about ourselves that is both true and positive? How do we hold ourselves up in the best possible light, while still being honest about our struggles and our flaws? Students will explore ways of interpreting and portraying personal experiences. They'll read Chinua Achebe's novel Things Fall Apart , analyzing the text through the eyes of one character. They'll get to know that character's flaws and strengths, and they'll tell part of the story from that character's perspective, doing their best to tell an honest tale that presents their character's best side. Then they'll explore their own stories, crafting a personal narrative about an important moment of learning in his or her life.
ACCOMPLISHMENTS
Students read and analyze Chinua Achebe’s Things Fall Apart , viewing the events and conflicts of the novel through the eyes of one of the central characters.
Students write a two-part narrative project: one narrative told through their character’s perspective and one personal narrative about an incident in their own life.
GUIDING QUESTIONS
These questions are a guide to stimulate thinking, discussion, and writing on the themes and ideas in the unit. For complete and thoughtful answers and for meaningful discussions, students must use evidence based on careful reading of the texts.
How do our conflicts shape and show our character?
How can we tell a story about ourselves that’s both honest and positive?
How do definitions of justice change depending on the culture you live in?
What are ways individuals can react to a changing world? To a community that doesn’t accept us?
BENCHMARK ASSESSMENT: Cold Read
During this unit, on a day of your choosing, we recommend you administer a Cold Read to assess students’ reading comprehension. For this assessment, students read a text they have never seen before and then respond to multiple-choice and constructed-response questions. The assessment is not included in this course materials.
Do other people’s perceptions of us teach us anything about ourselves? What do we hide from those around us? In this lesson, students will think about how their character’s self-image differs from what others see about him or her. Then, students will begin planning their Things Fall Apart narrative.
THIS IS A REMIX FROM THE INNOVATION 101 PILOT PROGRAM FROM THE HENRY FORD.
This class develops basic concepts for understanding individual, group, and organizational behavior through the critical analysis of important works in the field. Among the areas covered are: individual affect and cognition; group process and performance; and organizational culture and adaptation. The class also emphasizes the use of behavioral science concepts for stimulating new and useful organizational behavior research.
Introduction to the study and principles of behavior. Topics include general principles of scientific investigation; physiological bases of behavior including sensation, perception, learning, emotion and motivation; development; individual differences; attitudes and group dynamics.