In this task students draw the graphs of two functions from verbal descriptions. Both functions describe the same situation but changing the viewpoint of the observer changes where the function has output value zero. This small twist forces the students to think carefully about the interpretation of the dependent variable.

Students write a biographical sketch of an artist or athlete who lives on the edge, riding the gravity wave, to better understand how these artists and athletes work with gravity and manage risk. Note: The literacy activities for the Mechanics unit are based on physical themes that have broad application to our experience in the world concepts of rhythm, balance, spin, gravity, levity, inertia, momentum, friction, stress and tension.

Through this lesson students learn how AM radios work through basic concepts about waves and magnetic fields. Waves are first introduced by establishing the difference between transverse and longitudinal waves, as well as identifying the amplitude and frequency of a given waveform. Students then learn general concepts about magnetic fields, leading into how radio waves are created and transmitted. Several demonstrations can be performed in order to help students better understand these concepts. The goal of this lesson is for students to understand how the AM radios built during the associated activity function.

This task provides a good opportunity to use isosceles triangles and their properties to show an interesting and important result about triangles inscribed in a circle: the fact that these triangles are always right triangles is often referred to as Thales' theorem. It does not have a lot of formal prerequisites, just the knowledge that the sum of the three angles in a triangle is 180 degrees.

The result here complements the fact, presented in the task ``Right triangles inscribed in circles I,'' that any triangle inscribed in a circle with one side being a diameter of the circle is a right triangle. A second common proof of this result rotates the triangle by 180 degrees about M and then shows that the quadrilateral, obtained by taking the union of these two triangles, is a rectangle.

Students experience the engineering design process as they design and build accurate and precise catapults using common materials. They use their catapults to participate in a game in which they launch Ping-Pong balls to attempt to hit various targets.

Students learn the concept of angular momentum and its correlation to mass, velocity and radius. They experiment with rotation and an object's mass distribution. In an associated literacy activity, students use basic methods of comparative mythology to consider why spinning and weaving are common motifs in creation myths and folktales.

This course uses readings and discussions to focus on a series of short-term events that shed light on American politics, culture, and social organization. It emphasizes finding ways to make sense of these complicated, highly traumatic events, and on using them to understand larger processes of change in American history. The class also gives students experience with primary documentation research through a term paper assignment.

This subject introduces the history of science from antiquity to the present. Students consider the impact of philosophy, art, magic, social structure, and folk knowledge on the development of what has come to be called "science" in the Western tradition, including those fields today designated as physics, biology, chemistry, medicine, astronomy and the mind sciences. Topics include concepts of matter, nature, motion, body, heavens, and mind as these have been shaped over the course of history. Students read original works by Aristotle, Vesalius, Newton, Lavoisier, Darwin, Freud, and Einstein, among others.

The purpose of this task is to give students an opportunity to explore various aspects of exponential models (e.g., distinguishing between constant absolute growth and constant relative growth, solving equations using logarithms, applying compound interest formulas) in the context of a real world problem with ties to developing financial literacy skills.

New tech, like location services and smart devices, helps make our lives easier and opens opportunities that didn't exist before. But these innovations also come with a cost -- especially to our privacy. Help students consider the benefits and drawbacks of these new technologies -- and decide whether they're ultimately worth it.

Students build on their understanding and feel for flow rates, as gained from the associated Faucet Flow Rate activity, to estimate the flow rate of a local river. The objective is to be able to relate laboratory experiment results to the environment. They use the U.S. Geological Survey website (http://waterdata.usgs.gov/nwis/rt) to determine the actual flow rate data for their river, and compare their estimates to the actual flow rate. For this activity to be successful, choose a nearby river and take a field trip or show a video so students gain a visual feel for the flow of the nearby river.

Students learn how water is used to generate electricity. They investigate water's potential-to-kinetic energy transformation in hands-on activities about falling water and waterwheels. During the activities, they take measurements, calculate averages and graph results. Students also learn the history of the waterwheel and how engineers use water turbines in hydroelectric power plants today. They discover the advantages and disadvantages of hydroelectric power. In a literacy activity, students learn and write about an innovative new hydro-electrical power generation technology.

The 1930s saw a steadily increasing campaign of Japanese aggression in China, beginning with the invasion of Manchuria in 1931 and culminating in the outbreak of full-scale war between the two powers in 1937. Each instance of aggression resulted in denunciations from the United States, but the administrations of the time understood that there was no will on the part of the American public to fight a war in East Asia.

Studying Robert Frost's "Mending Wall," students explore the intricate relationship between a poem's form and its content.

The Life and Strange Surprizing Adventures of Robinson Crusoe is one of those books that we all know even if we have never read it. With his first work of fiction, Daniel Defoe–a businessman turned poet, journalist, and political propagandist–created a character who very quickly went on to have a life that went well beyond the pages of the book that first appeared, without build-up, fanfare, or even the author’s name on the title page, in April 1719. Robinson Crusoe was an immediate bestseller; the bookseller went through several editions in the first year alone. By August, Defoe had produced a sequel, The Farther Adventures of Robinson Crusoe, a work that he wrote quickly in part to head off the possibility that someone else might beat him to it. Over the last three hundred years, the story of a person isolated on a deserted island or something like it, has been used by dozens, maybe hundreds of writers, who have made it a genre of its own, the “Robinsoniad,” a genre that includes satirical parodies like Gulliver’s Travels, children’s books like The Swiss Family Robinson, Bugs Bunny cartoons, television situation comedies like Gilligan’s Island, and science fiction works like The Martian. Robinson Crusoe, the man and the book in which he first appeared, has become one of the foundational myths of the modern world.The story of one man’s survival has become so well known in all of these instances that it can be difficult to see through the mythology to analyze Defoe’s original book and to imagine what its first readers might have noticed and found so striking. It is important to recognize, for example, that the book is told in the first person, by a narrator who never lets on that this is a work of fiction. Defoe’s name, as noted above, did not appear on the title page of the first edition (although it quickly became clear to those in the know that he was the author), or even in any of the many editions issued in his lifetime. Although the book is famous for the many years that Crusoe spends on the island, it takes a while for him to get there, and his experiences both before and after his time there are worth paying attention to for the way that they frame the central experience. Defoe’s prose is sometimes clunky-he has a tendency to shape sentences and paragraphs that would never pass muster with a modern copyeditor–but it is also capable of great beauty and insight, and rewards careful attention.

Students learn various topics associated with the circle through studying a clock. Topics include reading analog time, understanding the concept of rotation (clockwise vs. counter-clockwise), and identifying right angles and straight angles within circles. Many young students have difficulty telling time in analog format, especially with fewer analog clocks in use (compared to digital clocks). This includes the ability to convert time written in words to a number format, for example, making the connection between "quarter of an hour" to 15 minutes. Students also find it difficult to convert "quarter of an hour" to the number of degrees in a circle. This activity incorporates a LEGO® MINDSTORMS® NXT robot to help students distinguish and visualize the differences in clockwise vs. counter-clockwise rotation and right vs. straight angles, while learning how to tell time on an analog clock. To promote team learning and increase engagement, students work in teams to program and control the robot.

Through the two lessons and five activities in this unit, students' knowledge of sensors and motors is integrated with programming logic as they perform complex tasks using LEGO MINDSTORMS(TM) NXT robots and software. First, students are introduced to the discipline of engineering and "design" in general terms. Then in five challenge activities, student teams program LEGO robots to travel a maze, go as fast/slow as possible, push another robot, follow a line, and play soccer with other robots. This fifth unit in the series builds on the previous units and reinforces the theme of the human body as a system with sensors performing useful functions, not unlike robots. Through these design challenges, students become familiar with the steps of the engineering design process and come to understand how science, math and engineering including computer programming are used to tackle design challenges and help people solve real problems. PowerPoint® presentations, quizzes and worksheets are provided throughout the unit.

Students continue to build a rigorous background in human sensors and their engineering equivalents by learning about electronic touch, light, sound and ultrasonic sensors that measure physical quantities somewhat like eyes, ears and skin. Specifically, they learn about microphones as one example of sound sensors, how sounds differ (intensity, pitch) and the components of sound waves (wavelength, period, frequency, amplitude). Using microphones connected to computers running (free) Audacity® software, student teams experiment with machine-generated sounds and their own voices and observe the resulting sound waves on the screen, helping them to understand that sounds are waves. Students take pre/post quizzes, complete a worksheet and watch two short online videos about "seeing" sound.