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Quantitative Skills

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Back-of-the-Envelope Calculations: Eruption Rates part of Quantitative Skills:Activity Collection
Barb Tewksbury, Hamilton College
Question Over the last 70 million years or so, the Hawaiian Hot Spot has been pumping out lava, a total of about 775,000 km3 worth. As the Pacific Plate has moved over the hot spot, the volcanic peaks and plateaus ...

Back-of-the-Envelope Calculations: Percentage of Copper in Ore part of Quantitative Skills:Activity Collection
Barb Tewksbury, Hamilton College
Question Suppose that you are building a new house. It will take about 90 kg (198 pounds) of copper to do the electrical wiring. In order to get the copper in the first place, someone needs to mine solid rock that ...

Back-of-the-Envelope Calculations: Depth of Buried Metamorphic Rock part of Quantitative Skills:Activity Collection
Barb Tewksbury, Hamilton College
Question In many high-grade metamorphic belts around the world, rocks were buried 20-30 km beneath the surface during deformation and metamorphism. How deep is that relative to the cruising altitude of a typical ...

Geologic Time Calculations part of Quantitative Skills:Activity Collection
Francisco San Juan, Elizabeth City State University
Radiometric age determination using parent/daughter composition and a radiometric decay curve.

How are Flow Conditions in Volcanic Conduits Estimated? part of Pedagogy in Action:Partners:Spreadsheets Across the Curriculum:Physical Volcanology:Examples
chuck connor
SSAC Physical Volcanology module. Students build a spreadsheet to calculate velocity of rising magma in steady-state Plinian eruptions using conservation of mass and momentum.

Reading Topographic Maps and Calculating Map Scale part of Quantitative Skills:Activity Collection
Leslie Kanat, Johnson State College
Use a topographic map to deliniate a watershed, draw a map bar scale, and calculate a map ratio scale.

Machines that change climate: Porsche 911 Turbo vs. Toyota Prius part of Quantitative Skills:Activity Collection
Kevin Harrison, McDaniel College
This problem illustrates how consumer decisions can influence carbon dioxide levels in the atmosphere, how to make back-of-the-envelope calculations, and demonstrates the power of exponential growth.

How Big is a Trillion? part of Pedagogy in Action:Library:Teaching Quantitative Reasoning with the News:Examples
Stuart Boersma, Central Washington University
Perhaps the first skill needed for successful quantitative reasoning is the ability to understand a single number. Newspaper headlines over the last year have used some amazingly large figures when discussing the ...

How many sand grains on a beach? part of Quantitative Skills:Activity Collection
Alan Whittington, University of Missouri-Columbia
Short exercise designed to give students practice in determining what information is needed to answer a question, estimating an answer, and calculating an answer (including unit conversions and scientific notation). Emphasizes the relevance of large numbers to society (population, debt, etc).

How Big is Your Breakfast Footprint? part of SISL:2012 Sustainability in Math Workshop:Activities
Ben Galluzzo, Shippensburg University
Calculation of a carbon footprint resulting from common breakfast choices illustrates the importance of contextualization.



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