The purpose of this task is to use finite geometric series to investigate an amazing mathematical object that might inspire students' curiosity. The Cantor Set is an example of a fractal.

Explore how a capacitor works! Change the size of the plates and add a dielectric to see how it affects capacitance. Change the voltage and see charges built up on the plates. Shows the electric field in the capacitor. Measure voltage and electric field.

This short video and interactive assessment activity is designed to teach third graders an overview of capacity IIi (metric units).

This short video and interactive assessment activity is designed to teach fourth graders about finding the amount of water with illustrations and calculations (metric units).

Students are presented with a short lesson on the difference between cohesive forces (the forces that hold water molecules together and create surface tension) and adhesive forces (the forces that causes water to "stick" to solid surfaces. The interaction between cohesive forces and adhesive forces causes the well-known capillary action. Students are also introduced to examples of capillary action found in nature and in our day-to-day lives.

As part of a (hypothetical) challenge to help a city find the most affordable and environmentally friendly way to clean up an oil spill, students design and conduct controlled experiments to quantify capillary action in sand. Like engineers and entrepreneurs, student teams use affordable materials to design and construct models to measure the rate of capillary action in four types of sand: coarse, medium, fine and mixed. After observing and learning from a teacher-conducted capillary tube demonstration, teams are given a selection of possible materials and a budget to work within as they design their own experimental setups. After the construction of their designs, they take measurements to quantify the rate of capillary action, create graphs to analyze the data, and make concluding recommendations. Groups compare data and discuss as a class the pros and cons of their designs. Pre- and post-evaluations and two worksheets are provided.

Subject addresses the evolution of the modern capitalist economy and evaluates its current structure and performance. Various paradigms of economics are contrasted and compared (neoclassical, Marxist, socioeconomic, and neocorporate) in order to understand how modern capitalism has been shaped and how it functions in today's economy. Readings include classics in economic thought as well as contemporary analyses. Subject stresses general analytic reasoning and problem formulation rather than specific analytic techniques. May not be used for economics concentration. One economics HASS-D subject may be used as an economics elective for the economics major and minor. This course examines the implications of economic theories for social and political organization in the context of the historical evolution of industrial societies. Among the authors whose theories will be discussed are Ayn Rand, Milton Friedman, Karl Marx, Max Weber, Joseph Schumpeter, and John Kenneth Galbraith. Emphasis will be placed on class discussion of specific texts. Students will be encouraged to ground their views in concrete textual and empirical material and to consider the implications of different arguments for the understanding of personal, political, and economic events today.

In the exploration of ways to use solar energy, students investigate the thermal energy storage capacities of different test materials to determine which to use in passive solar building design.

This art history video discussion examines Caravaggio's "Calling of St. Matthew," oil on canvas, c. 1599-1600 (Contarelli Chapel, San Luigi dei Francesi, Rome).

This art history video discussion examines Caravaggio's "Crucifixion of St. Peter", oil on canvas, 1601 (Santa Maria del Popolo, Rome).

This art history video discussion examines Caravaggio's "Death of the Virgin," 1605-06, Oil on canvas, 12 feet, 10 inches x 8 feet (369 x 245 cm) (Musee du Louvre, Paris). Painted for the altar of a family chapel in the church of Santa Maria della Scala del Trastevere, Rome.

This art history video discussion looks at Michelangelo Merisi da Caravaggio's "Narcissus at the Source", oil on canvas, 1597-99 (Palazzo Barbarini).

This art history video discussion examines Michelangelo Merisi da Caravaggio's "The Supper at Emmaus", 1601, oil on canvas (National Gallery, London).

The task requires the student to use logarithms to solve an exponential equation in the realistic context of carbon dating, important in archaeology and geology, among other places. Students should be guided to recognize the use of the natural logarithm when the exponential function has the given base of e, as in this problem. Note that the purpose of this task is algebraic in nature -- closely related tasks exist which approach similar problems from numerical or graphical stances.

In the task "Carbon 14 Dating'' the amount of Carbon 14 in a preserved plant is studied as time passes after the plant has died. In practice, however, scientists wish to determine when the plant died and, as this task shows, this is not possible with a simple measurement of the amount of Carbon 14 remaining in the preserved plant. The equation for the amount of Carbon 14 remaining in the preserved plant is in many ways simpler here, using 12 as a base.

This problem introduces the method used by scientists to date certain organic material. It is based not on the amount of the Carbon 14 isotope remaining in the sample but rather on the ratio of Carbon 14 to Carbon 12. This ratio decreases, hypothetically, at a constant exponential rate as soon as the organic material has ceased to absorb Carbon 14, that is, as soon as it dies. This problem is intended for instructional purposes only. It provides an interesting and important example of mathematical modeling with an exponential function.

This exploratory task requires the student to use a property of exponential functions in order to estimate how much Carbon 14 remains in a preserved plant after different amounts of time.

Students are introduced to the concept of energy cycles by learning about the carbon cycle. They will learn how carbon atoms travel through the geological (ancient) carbon cycle and the biological/physical carbon cycle. Students will consider how human activities have disturbed the carbon cycle by emitting carbon dioxide into the atmosphere. They will discuss how engineers and scientists are working to reduce carbon dioxide emissions. Lastly, students will consider how they can help the world through simple energy conservation measures.

This task lets students explore the concept of independence of events. There are two alternative ways of solving the problem.

Counseling 116: Career/Life Planning and Personal Exploration is designed to cover theories and concepts of values, interests, skills and personality as applied to the career/life planning process and its application to labor market trends. Short/long term career/life plans will be developed. Students will develop an awareness of diversity and its relationship to psychological, sociological and physiological forces within the workplace.