Friday, April 22, 2016

Math problems of the week: 6th grade Common Core-inspired math question

A sample question from Pennsylvania's state test (PSSA) released items and soring rubric:

Sergei knows the bicycle he wants to buy will cost more than $84.00. He has already saved $26.75 for the bicycle. His aunt has given him $20.00 to use to buy the bicycle. Which inequality describes all of the additional amounts of money (m), in dollars, that Sergei could save to be able to buy the bicycle?

m > 37.25

m >  46.75

m >  57.25

m >  84.00

[69 words]


Rewrite:

Sergei wants to buy a bike that costs over $84.00. He has $26.75 and his aunt gives him $20.00. Complete the inequality for the amount he still needs in dollars.

m  > _____

[33 words]

Extra Credit:

Is anything of mathematical significance lost in translation?

1 comment:

Sanchia said...

The rewrite is absolutely fine. Just a quick note about the last sentence:

Notice that the original question says "Which inequality describes all of the additional amounts of money (m), in dollars, that Sergei could save to be able to buy the bicycle?" This is because any of the options given could technically be correct, but only the first answer describes the full range of possibilities (m > 37.25).

The rewritten version says "Complete the inequality for the amount he still needs in dollars." As long as you just ask students to write the answer down, rather than a multiple choice situation as in the original question, you're absolutely fine.