## Thursday, October 23, 2014

### Math problem of the week: Common Core-inspired 3rd grade test questions

From the New York State Testing Program Mathematics Common Core Sample Questions Grade 3:

Extra Credit:

1. Is a piece of string mathematically comparable to a number line?

2. Should alternative answers for A and C be, respectively, 3/4 and 1/4?

Hainish said...

The questions themselves aren't bad, but you're right that there is no directionality to the string, making the reverse answers also correct.

Auntie Ann said...

Wow! That is bad. Any kid who actually understands the math will be at a DISadvantage, since they would notice the lack of directionality.

In addition, a smart-aleck kid (and that would be our 12-year-old), would probably want to point out that the lables refer not to segments, but to the dots or points above them. So, the answer for each could be something like 1/27th.

lgm said...

EC2. Nope, the question asks for equivalent fractions, not equivalent segments. So the answer to D is 2/8,3/12 or 10/40 or whatever the child wants to put in there. E is then 6/8 or 30/40 or whatever the child's heart desires. Mine would load in something like (3*10^6)/(4*10^6)unless his teacher had prepped him to be nice to the grader who probably uses eyeglasses and has a lot of papers to grade.

Hainish said...

lgm, those are all acceptable according to the key. Unless you were referring to something else...?

lgm said...

Hainish, I was referring to Extra Credit Question #2, which asked if 3/4 would be an acceptable alternative answer for A and 1/4 an acceptable answer for C. The answer is no, because they are asking the student to relate the part to the whole using the conventional origin they have marked on the object. In third grade, they would mark the origin if they were going unconventional.

Katharine Beals said...

So the answer to EC1 is "yes"?

Anonymous said...

Now here's some real creative, no-rote-memorizing serious math:

https://kevinspraggettonchess.wordpress.com/2014/10/23/todays-math-teaser/

:-)