In this lesson students read poems and letters that describe the work and lives of nineteenth-century Irish immigrants to the United States. As students read the documents, they choose words and phrases to create found poems that reflect their understandings of the Irish-American experience.

Students test and observe the "self-cleaning" lotus effect using a lotus leaf and cloth treated with a synthetic lotus-like superhydrophobic coating. They also observe the Wenzel and Cassie Baxter wetting states by creating and manipulating condensation droplets on the leaf surface. They consider the real-life engineering applications for these amazing water-repellent and self-cleaning properties.

Students will observe/investigate the movement of water through the different stages of the water cycle and determine what drives this cycle. Students are asked to think about what precipitation is then watch a video about why the water cycle is important. They observe a simple version of the water cycle and take some notes. Students are asked what stages require solar radiation, which require water to give off heat, and which are driven by the force of gravity. The teacher does several different demonstrations while students fill in a sheet that has the students recording their observations of different processes in the water cycle and how energy is involved. Students build their understanding of the water cycle through the different models that are shown or experienced. The culminating activity has them create their own model of the water cycle from the viewpoint of a water molecule including the processes, the energy involved, and gravity.

In this task students prove that linear functions grow by equal differences over equal intervals, and that exponential functions grow by equal factors over equal intervals.

This problem illustrates how an exponentially increasing quantity eventually surpasses a linearly increasing quantity.

In this task students observe using graphs and tables that a quantity increasing exponentially eventually exceeds a quantity increasing linearly, quadratically, or (more generally) as a polynomial function.

This problem shows that an exponential function takes larger values than a cubic polynomial function provided the input is sufficiently large.

The purpose of this task is to help students see the "why" behind properties of logs that are familiar but often just memorized (and quickly forgotten or misremembered). The task focuses on the verbal definition of the log, helping students to concentrate on understanding that a logarithm is an exponent, as opposed to completing a more computational approach.

This task and its companion, F-BF Exponentials and Logarithms I, is designed to help students gain facility with properties of exponential and logarithm functions resulting from the fact that they are inverses.

Subject focused on forms of exposition, including narration, critique, argument, and persuasion. Frequent writing assignments, regular revisions, and short oral presentations are required. Readings and specific writing assignments vary by section. See subject's URL for enhanced section descriptions. Emphasis is on developing students' ability to write clear and effective prose. Students can expect to write frequently, to give and receive response to work in progress, to improve their writing by revising, to read the work of accomplished writers, and to participate actively in class discussions and workshops. Focus: What can we believe when we read an autobiography? How do writers recall, select, shape, and present their lives to construct life stories? Readings that ground these questions include selections from Incidents in the Life of a Slave Girl by Linda Brent (pseudonym for Harriet Jacobs), "A Sketch of the Past" by Virginia Woolf, Notes of A Native Son by James Baldwin, "The Achievement of Desire" by Richard Rodriguez, The Woman Warrior by Maxine Hong Kingston, and "Our Secret" by Susan Griffin. Discussion, papers, and brief oral presentations will focus on the content of the life stories as well as the forms and techniques authors use to shape autobiography. We will identify masks and stances used to achieve various goals, sources and interrelationships of technical and thematic concerns, and "fictions" of autobiographical writing. Assignments will allow students to consider texts in terms of their implicit theories of autobiography, of theories we read, and of students' experiences; assignments also allow some autobiographical writing.

Formulating, organizing, and presenting ideas clearly in writing. Reviews basic principles of rhetoric. Focuses on development of a topic, thesis, choice of appropriate vocabulary, and sentence structure to achieve purpose. Develops idiomatic prose style. Gives attention to grammar and vocabulary usage. Special focus on strengthening skills of bilingual students. Successful completion satisfies Phase I of the Writing Requirement. The purpose of this course is to develop your writing skills so that you can feel confident writing the essays, term papers, reports, and exams you will have to produce during your career here at MIT. We will read and analyze samples of expository writing, do some work on vocabulary development, and concentrate on developing your ability to write clear, accurate, sophisticated prose. We will also deal with the grammar and mechanical problems you may have trouble with.

This short video and interactive assessment activity is designed to teach second graders an overview - hundredths.

This short video and interactive assessment activity is designed to teach second graders an overview - tenths.

This short video and interactive assessment activity is designed to teach third graders an overview - hundredths.

This short video and interactive assessment activity is designed to teach second graders about expressing multiplication sentences.