During our bedtime chat on Sunday, Relia told me there was a question on the MAP (standardized) test that was bugging her.
"What is half of 1/3? How can you have HALF of a fraction?"
I said, "What if you me and Felix were having pizza and we had equal parts, but then nana, grampa & Ryan show up, and we have to share. What would we do?"
"It's 1/6! And half of a fifth would be a tenth."
Then we halve a bunch of other fractions and we're so excited she can't get to sleep.
Tuesday night:
"Give me more fractions to halve"
(against my better judgement, I relent)
We do a few, then I ask if she wants a tougher one. She's feeling confident, of course she does.
"What is 1/3 of 1/4?"
"1/6?"
"Why do you say that?" (love the power of that question)
She thinks for a minute and then says "1/12!"
She explains that each of the 4 parts would be cut into 3 parts. (holy moly!)
"What would half of 2/6 be?"
(with no hesitation at all) "Well,1/6 cause there's 2 of them and you just share them."
Tonight, I ask if she wants to try a different type of problem.
13 kids are going to the Children's Museum. 4 kids can fit in each car. How many cars do we need?
"I'm just going to think of it as 12 because I know that there are three 4s in 12."
"Does there have to be 4 kids in a car?"
"No, but we don't want to take 13 cars to the Museum."
"Then we need 4 cars."
"Why do we need 4 cars? You just said there are three 4s in 12."
"We can't just leave the extra kid behind, unless they got sick or something."
I am just in awe of the ease with which she approaches these problems that completely stump the majority of 4th & 5th graders I've worked with.







