This learning video is designed to develop critical thinking in students by encouraging them to work from basic principles to solve a puzzling mathematics problem that contains uncertainty. Materials for in-class activities include: a yard stick, a meter stick or a straight branch of a tree; a saw or equivalent to cut the stick; and a blackboard or equivalent. In this video lesson, during in-class sessions between video segments, students will learn among other things: 1) how to generate random numbers; 2) how to deal with probability; and 3) how to construct and draw portions of the X-Y plane that satisfy linear inequalities.

This art history video discussion examines Bronzino's "Portrait of a Young Man," oil on panel, 1530s (Metropolitan Museum of Art) Bronzino, Lodovico Capponi, Oil on panel, 1550-55 (Frick Collection).

This art history video discussion examines Bronzino's "Portrait of Eleonora di Toledo with her son Giovanni," 1544-1545, oil on panel, 115.00 x 96.00 cm (Galleria degli Uffizi).

There are several hundred thousand Brownfield sites across the country. The large number of sites, combined with how a majority of these properties are located in urban and historically underserved communities, dictate that redevelopment of these sites stands to be a common theme in urban planning for the foreseeable future. Students form a grounded understanding of the Brownfield lifecycle: how and why they were created, their potential role in community revitalization, and the general processes governing their redevelopment. Using case studies and guest speakers from the public, private and non-profit sectors, students develop and hone skills to effectively address the problems posed by these inactive sites.

Reading Robert Browning's poem "My Last Duchess," students will explore the use of dramatic monologue as a poetic form, where the speaker often reveals far more than intended.

This art history video discussion examines Pieter Bruegel the Elder's "The Dutch Proverbs," 1559, oil on oak, 117 x 163 cm (Gemaldegalerie, Staatliche Museen zu Berlin).

This art history video discussion examines Pieter Bruegel the Elder's "The Tower of Babel," 1563, oil on panel, 114 x 155 cm (Kunsthistorisches Museum, Vienna).

This art history video discussion examines Brunelleschi & Ghiberti's "Sacrifice of Isaac," competition panels for the second set of bronze doors for the Florence Baptistery, 1401-2.

This art history video discussion examines Brunelleschi's "Dome of the Cathedral of Florence," 1420-36.

This art history video discussion examines Brunelleschi's "Old Sacristy", San Lorenzo, Florence, begun c. 1421.

This art history video discussion examines Filippo Brunelleschi's Pazzi Chapel, Santa Croce, Florence, begun 1420s, completed 1460s.

Students work in groups to create soap bubbles on a smooth surface, recording their observations from which they formulate theories to explain what they see (color swirls on the bubble surfaces caused by refraction). Then they apply this theory to thin films in general, including porous films used in biosensors, listing factors that could change the color(s) that become visible to the naked eye, and learn how those factors can be manipulated to give information on gene detection. Finally (by experimentation or video), students see what happens when water is dropped onto the surface of a Bragg mirror.

Students learn a simple technique for quantifying the amount of photosynthesis that occurs in a given period of time, using a common water plant (Elodea). They can use this technique to compare the amounts of photosynthesis that occur under conditions of low and high light levels. Before they begin the experiment, however, students must come up with a well-worded hypothesis to be tested. After running the experiment, students pool their data to get a large sample size, determine the measures of central tendency of the class data, and then graph and interpret the results.

The course is concerned with the concept of structural stability. This concept is applied to discrete and continuous basic structural elements (beams, frames, plates and shells). The fundamental concepts are introduced on the basis of the governing differential equations. The course includes the following topics:

*Equations of motion, nonlinear equilibrium equations, stationary potential energy criterion.
*Stability analysis for the basic structural elements.
*Design methods for stability of basic structural elements.

This art history video discussion examines the Buddha of Medicine Bhaishajyaguru (Yaoshi fo), c. 1319, Yuan dynasty, water-based pigments on clay mixed with straw, 24 feet, 8 inches x 49 feet 7 inches / 751.8 cm x 1511.3 cm (Metropolitan Museum of Art, New York).

“Bug Hunt” uses NetLogo software and simulates an insect population that is preyed on by birds. There are six speeds of bugs from slow to fast and the bird tries to catch as many insects as possible in a certain amount of time. Students are able to see the results graphed as the average insect speed over time, the current bug population and the number of insects caught. There are two variations to try for the predator, one where the predator pursues the prey and one where the predator stays still and captures insects that pass nearby. In the first case the “bird” catches the slow insects and the faster ones survive, reproduce and pass genes on. The average speed of bug should increase over time. In the second case the faster bugs come near to the bird more often than the slow ones. The slow ones survive more, reproduce and pass their genes on.

Students wire up their own digital trumpets using a MaKey MaKey. They learn the basics of wiring a breadboard and use the digital trumpets to count in the binary number system. Teams are challenged to play songs using the binary system and their trumpets, and then present them in a class concert.

Students create projects that introduce them to Arduino—a small device that can be easily programmed to control and monitor a variety of external devices like LEDs and sensors. First they learn a few simple programming structures and commands to blink LEDs. Then they are given three challenges—to modify an LED blinking rate until it cannot be seen, to replicate a heartbeat pattern and to send Morse code messages. This activity prepares students to create more involved multiple-LED patterns in the Part 2 companion activity.

In the companion activity, students experimented with Arduino programming to blink a single LED. During this activity, students build on that experience as they learn about breadboards and how to hook up multiple LEDs and control them individually so that they can complete a variety of challenges to create fun patterns! To conclude, students apply the knowledge they have gained to create LED-based light sculptures.