I was cutting oranges with one of my nieces for my OTHER niece’s soccer game. She was helping me put them in the bag and she proceeds to tell me:

N: Aunty, you are cutting it in half first and then cutting again and then again

Me: Yes you are right. So when I cut it in half the first time how many pieces does that make?

N: two half pieces.

Me: Right so then you said I cut it in half again? How do you know it is half again?

N: Because it is 2 more equal pieces that you cut it into.

M: Ok, so then what do I do?

N: You cut those pieces in half again. And you do the same thing to the other half of the orange.

M: Are you sure? Watch to make sure I do it exactly like you described. [I proceed to another orange the exact same way as before]

N: Yeah see you did the same thing. So you come out with 8 pieces of oranges.

M: So what does that mean about the “size” of this smallest piece of orange?

N: **thinking** It is the same size as the others.

M: True it probably is very close to being the exact same size. What about what fraction of the orange is it?

N: Oh, it’s one eighth.

M: How do you know that?

N: Because there are eight pieces and this is one of the eight. So this is 1/8 of the orange.

M: Ic, so what is half of half? [I ask this question as I cut the half into fourths]

N: one fourth?

M: How do you know? I don’t see 4 pieces.

N: Because if you did the same thing to the other half you WOULD have 4 pieces. so one of the oranges would be 1/4.

M: Ic, so what is a half of a half of a half? [I ask this question as I cut the fourths into eighths]

N: one eighth?

M: How do you know?

N: Cuz it’s the same as I said before but with more pieces. You are just doing the same thing to both halfs of the orange. So each orange is making eight pieces.

M: Ic, so how many pieces would 2 oranges make?

N: 16.

M: how do you know?

N: 8+8=16

M: Ic, you like doubles yeah?

N: Yeah, doubles are easy.

Orange cutting was completed and we put them in our ziploc bags. I asked her to take pictures of the ziploc bags and our eighths.

### Like this:

Like Loading...

*Related*

[…] Sadie Estrella’s niece tells how she knows fractions, because “Doubles are easy.” [TMWYK] Oranges. […]