This isn’t testing reasonableness. This is testing to see if a student understands that to properly compare fractions the wholes have to start as equivalent.
Source: I use questions similar to this every year because if I don’t get some real funky diagrams.
But… you can totally compare fractions without the whole being equivalent. You just have to know the size of the wholes. It’s just a poorly phrased question that has more than one correct answer when only one was intended.
Edit: also, it’s totally testing reasonableness, that’s literally the title of the question. Still poorly phrased though.
9 and 10 year olds lack the understanding or ability adjust for differently sized wholes.
Ok, I misspoke when I said it’s not testing for reasonableness. It’s what I get for commenting right after waking up. The reasonableness it’s checking for is can the students understand what makes the situation true. That the wholes are different sized. It’s not a poorly worded problem, the teacher just doesn’t know what they are doing.
Source: again, I teach this scenario every year and the students figure it out every year.
This isn’t testing reasonableness. This is testing to see if a student understands that to properly compare fractions the wholes have to start as equivalent.
Source: I use questions similar to this every year because if I don’t get some real funky diagrams.
But… you can totally compare fractions without the whole being equivalent. You just have to know the size of the wholes. It’s just a poorly phrased question that has more than one correct answer when only one was intended.
Edit: also, it’s totally testing reasonableness, that’s literally the title of the question. Still poorly phrased though.
9 and 10 year olds lack the understanding or ability adjust for differently sized wholes.
Ok, I misspoke when I said it’s not testing for reasonableness. It’s what I get for commenting right after waking up. The reasonableness it’s checking for is can the students understand what makes the situation true. That the wholes are different sized. It’s not a poorly worded problem, the teacher just doesn’t know what they are doing.
Source: again, I teach this scenario every year and the students figure it out every year.