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Lindsey Petersheim
                        Reading For Meaning
Introduction:
            Math students often have a difficult time understanding word problems because they are not accustomed to interpreting math problems using the same skills they would use when they have to read passages carefully in subjects such as English and Social Studies.  Students will therefore sometimes get the answers to word problems incorrect because they don’t read the question carefully enough to understand the important information in the question or even the answer the word problem is really asking for.  The following is a Reading for Meaning lesson designed to help students to better understand the information given to them in a multi-step word problem involving multiplication and subtraction.
       A computer manufacturer planning to produce many computers can choose to use Intel chips at $900 each or Motorola computer chips at $374 each.  How much money would that manufacturer save on an order of 20,000 central-processor chips by choosing the Motorola chip rather than the Intel chip?

Mastery Statements:  Which of these statements is true?  Circle True or False and justify.

True or False  1.  It costs more to buy an Intel chip than a Motorola chip.

Why do you think so?

True or False  2.  The computer manufacturing company will save money buying Motorola chips rather than Intel chips.

Why do you think so?

Understanding Statements:  Which of the following is the method you would use to solve the problem?

  1. ($900 times 20,000 chips) plus ($374 times 20,000 chips)

Why do you think so?

  1. ($374 times 20,000 chips) minus ($900 times 20,000 chips)

Why do you think so?

  1. ($900 times 20,000 chips) minus ($374 times 20,000 chips)

Why do you think so?

Synthesis Statements:  Which of the following problems would you solve in the same way as the previous problem?  Write an “S” in the blank next to the problems that would be solved in the same way, and write a “D” in the blank next to the problems that would be solved differently.

____    1.  Frank saved up $5,000 dollars to buy a car, but the car costs $9,240.  If Frank can save $500 every month, how long will it take Frank to save up the rest of the money he needs?

Why do you think so?

____    2.  Joanne must decide between buying 20 bags of candy at $3.00 each, and 20 magic tricks at $4.25 each for her party guests.  How much would she save by buying the bags of candy?

Why do you think so?

____    3.  Tony saved two different things to a new disk on his computer.  The first thing he saved took up 21 kilobytes of space on the disk and the second took up 43 kilobytes of space on the disk.  How much space did Tony use on his disk altogether?

Why do you think so?

 

 

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Roberta Devlin-Scherer, Seton Hall University
January 2, 2001
Updated  09/07/02
devlinrb@shu.edu