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Calculating and Comparing Tax Rates
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CC BY-NC-SA
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This example focuses on six letters to the editor. All six letters attempt to describe and compare the amount of taxes paid on two different incomes: $30,000 and $200,000. Tax rates are expressed in absolute dollars, tax per $1,000 of income, $1 of tax per income amount, and as percents of annual income. Students need to be able to organize the relevant information and convert each stated tax rate to a standard form to help make comparisons. Additionally, students need to be aware that letter writers may make their own mistakes!

Subject:
Mathematics
Material Type:
Activity/Lab
Provider:
Science Education Resource Center (SERC) at Carleton College
Provider Set:
Starting Point (SERC)
Author:
Stuart Boersma
Date Added:
08/28/2012
Cost Effectiveness of Increased Fuel Efficiency
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CC BY-NC-SA
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In this example students examine and critique an argument which implies that it is not cost effective to pay for an automobile with increased fuel efficiency. Using a few reasonable assumptions shows that some of the writer's quantitative claims are not very accurate.

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Subject:
Physical Science
Physics
Material Type:
Activity/Lab
Provider:
Science Education Resource Center (SERC) at Carleton College
Provider Set:
Teach the Earth
Author:
Stuart Boersma
Date Added:
09/23/2022
Credit Card Analysis
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CC BY-NC-SA
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In this example, students are asked to obtain a credit card disclosure statement, identify the various interest rates and payment rules, and keep track of a revolving monthly balance under several payment scenarios. While modeling several months to a year of credit card statements is easily accomplished with pencil, paper, and a basic calculator, this example is also well-suited for analysis with a spreadsheet.

Subject:
Mathematics
Material Type:
Activity/Lab
Provider:
Science Education Resource Center (SERC) at Carleton College
Provider Set:
Starting Point (SERC)
Author:
Stuart Boersma
Date Added:
08/28/2012
How Big is a Trillion?
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CC BY-NC-SA
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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 national debt, bailout funds, corporate bonuses, or economic stimulus packages. Millions, billions, and trillions of dollars are often encountered in such stories. The ability to process these large values and compare their relative values is essential in understanding the financial nuances to such articles. This example contains two in-depth approaches to understanding large quantities.

Subject:
Mathematics
Material Type:
Activity/Lab
Provider:
Science Education Resource Center (SERC) at Carleton College
Provider Set:
Starting Point (SERC)
Author:
Stuart Boersma
Date Added:
08/28/2012
A Short Selection of Advertisements
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CC BY-NC-SA
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Advertisers constantly thrust quantitative information in our face. Product claims, store enticements, health benefits, and scores of other contexts use short quantitative arguments to catch a reader's eye (and possibly money). This example shows how one can use these ads to bring added content to a quantitative reasoning course.

Subject:
Mathematics
Material Type:
Activity/Lab
Provider:
Science Education Resource Center (SERC) at Carleton College
Provider Set:
Starting Point (SERC)
Author:
Stuart Boersma
Date Added:
08/28/2012