Friday, April 4, 2014

Math problems of the week: word problems in Chicago Math vs. traditional algebra

I. From the review section of Linear Systems, the 11th chapter (out of 13)in the University of Chicago Mathematics Project Algebra book (2002), p. 702 (out of 823 pages) [click to enlarge]:


II. From the middle of the word problems at the end of Fractional Equations, the 10th chapter (out of 27) in Wentworth's New School Algebra: (1898), pp. 166-167 (out of 420 pages) [click to enlarge]:



III. Extra Credit:

Write your own word problem eliciting simultaneous equations that relate the page number, percentage of the way through chapters, and the textbook's date of publication to the estimated number and difficulty of word problems per problem set.

3 comments:

GoogleMaster said...

Is it just me, or isn't apartment B always more expensive?

Apartment A: $375/month + $0 one-time fee
Apartment B: $375/month + $25 one-time fee

The 116-year-old problems, on the other hand, sound like puzzles that I want to solve.

Auntie Ann said...

What jumps out at me about the modern problems is that 2-part answer. Why isn't it just "Solve the following--show your work." The equation would end up written down just the same. Why the two-step?

ChemProf said...

GoogleMaster is right, B is always more expensive and that one is just dumb. Plus, an equation to say which is more expensive should work either way, so having to write it out in both directions doesn't seem useful at all.