Bread Recipe Math Session

Another episode of Delicious Math- Lately I have been on the quest for THE perfect bread recipe. One recipe I wanted to try made four loaves. I only wanted to make one to try, so we go about dividing all the measurements. Me- Alright, this says 2/3 cup of honey. We need to divide that by 4. How much do we need? ... Josh (8)- Ummm.... M- How do you go about dividing your sandwiches into fourths? J- I cut it in half one way, then in half the other way. M- Ok, so lets do the same here. Cut it in half once, then in half again. If we have 2/3 what would half of that be? J- 1/3. Because you have 2 pieces so half would be 1. M- Right, now what is half of 1/3? J- Hmmmm, I don't know. Fill up the third measuring cup only half way? M- Well yes, that would work. I bet you can figure the math out too. When you cut your sandwich in half how many pieces do you have? J- 2. M- And when you cut those pieces in half how many do you have? J- 4. M- And when you cut those pieces in half how many do you have? J- 8. M- Do you see the pattern? Now if you had cut your sandwich in thirds you would have 3 pieces. If you cut those pieces in half how many pieces would you have? J- 6. M- So you cut 1/3 in half to make 2/6. So what is half of 1/3? J- 1/6!