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The Crusty Loaf of Bread: An Exploration of Area of a Surface of Revolution part of Examples
This write-pair-share activity for Calculus II students involves a hypothetical hemispherical loaf of bread with a 12-inch diameter that has been sliced into twelve one-inch-thick slices. The objective is to determine which slice contains the most upper crust (i.e., most area of its surface of revolution).
Order It Up! part of Examples
A think-pair-share activity which involves putting solar system bodies in order based on various statistics: escape velocity, distance from the sun, mass, etc.
Mapping Plate Boundaries part of Examples
Students can discover plate boundaries by plotting different sets of earthquakes and volcanic eruptions on maps. These are then stacked on the overhead projector, outlining the tectonic plates.
Ocean Stratigraphy Challenge part of Examples
A 15-20 minute think-pair-share activity interpreting a deep-sea sediment core combining concepts from oceanography, sedimentology, and plate tectonics.
Riemann Sums and Area Approximations part of Examples
After covering the standard course material on area under a curve, Riemann sums and numerical integration, Calculus I students are given a write-pair-share activity that directs them to predict the best area approximation methods for each of several different functions. Afterwards, the instructor employs a Web-based applet that visually displays each method and provides the corresponding numerical approximations.
The Economics of Drug Legalization: A Double Entry Journal part of Examples
The activity is designed to be an interative lecture segment during a larger interactive lecture class period. The technique demonstrated through this example is a double entry journal.
Externalities in the cashmere market: Colbert Report interview part of Examples
In this interactive lecture, students watch a video clip from The Colbert Report that addresses pollution externalities. Students graph the market and use the write-pair-share technique, then brainstorm ways to move the market to the socially efficient equilibrium.
Interactive lecture on diminishing marginal product: tennis ball production part of Examples
In this interactive lecture, students "produce" tennis balls with fixed capital and increasing labor, generating a production function. Students calculate the marginal product of each work and discover that marginal product falls as the number of workers rises.
Mathematical Curve Conjectures part of Examples
In this activity, a six-foot length of nylon rope is suspended at both ends to model a mathematical curve known as the hyperbolic cosine. In a write-pair-share activity, students are asked to make a conjecture concerning the nature of the curve and then embark on a guided discovery in which they attempt to determine a precise mathematical description of the curve using function notation.
Partial Derivatives: Geometric Visualization part of Examples
This write-pair-share activity presents Calculus III students with a worksheet containing several exercises that require them to find partial derivatives of functions of two variables. Afterwards, a series of Web-based animations are used to illustrate the surface of each function, the path of the indicated partial derivative for a specified value of the variable and the value of the derivative at each point along the path.