SUB DOMAIN 206.6 – QUANTITATIVE COMMUNICATION


 


Competency 206.6.1: Interpreting and Communicating Quantitative Information - The graduate interprets documents and materials containing quantitative information and effectively communicates mathematical arguments and quantitative results.


 


Objectives:


206.6.1-01: Describe given mathematical procedures clearly and correctly.


206.6.1-03: Communicate mathematical reasoning in written form.


206.6.1-05: Communicate mathematical equations in written form.


206.6.1-06: Communicate the results of a calculation in written form.



Given:


 


By using a ruler, you determine that the distance between two cities on a map is 3.4 inches. According to the map’s scale, 2 inches represents 75 miles. What is the actual distance between the two cities?


 


Task:


 


Write an essay (suggested length of 1 page) in which you communicate mathematical information in written form. Include the following:


 


A.  Briefly explain the general procedure used to identify and set up a proportion problem.


 


B.  Write a proportion that correctly represents the problem in the Given.


1.  Solve the proportion, showing all relevant work.


 


C.  Explain the reasoning behind the equation you set up (e.g., how did you determine the two ratios in the problem, and how do you know if they are equivalent?).


 


D.  Explain each step used to solve the equation. Your explanation should include the original equation, the equation at each step, and the final equation with the unknown equal to some number. (Use complete sentences, not mathematical symbols, to explain the steps.)


 


E.  Briefly explain (in 1–2 sentences) what the answer means in terms of the original problem.



Credit:ivythesis.typepad.com


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