**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?

## 7 comments:

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

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.

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.

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

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.

So the answer to EC1 is "yes"?

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

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

:-)

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