My husband thought I was nuts. For two nights in a row, as we sat on the couch watching Netflix episodes of the Walking Dead, I was tracing itty bitty fraction circle segments onto colored paper. For the next two nights I watched while cutting out itty bitty fraction circles from the paper. My husband thought I'd finally gone too far. This was crazier than the February phonogram dictionary episode. He said, "I can't wait to see what you are going to do with those. It had better be good." I told him he should be quiet or I was going to hand him a scissors.
I want to toot Jessica's horn over at Keys of the Universe (do I sound midwestern or what?). Her albums are the only albums I've seen that actually show you what these look like rather than just refer to them. This is what made it possible to actually make these.
They probably would look best on white paper. However, I wanted to follow Jessica's suggestion to use the same colors as our bead materials to facilitate reading the charts faster. The manila paper allows for the visibility of the white sevenths. I cut one inch of the length of 12x18 paper so that the paper would fit in our portfolios. It was really tight, both lengthwise and widthwise, to get all of the information on the paper.
charts 1 and 2, fraction circles shown in bead bar color scheme
charts 3 and 4, equivalences
chart five, more equivalences
charts 7 (top) and 6 (bottom), addition, like-denominators
chart 8, addition, unlike-denominators
chart 10 (left) and 9 (right), subtraction with like-denominators, addition with unlike-denominators
chart 11, subtraction, unlike-denominators
chart 12 (right), multiplication by whole number
chart 15 (left) multiplication of a fraction by another fraction
chart 13 (top) multiplication by a whole number
chart 14 (bottom) multiplication of a fraction by a fraction
charts 16 and 17, division by a whole number
charts 18 and 19, division of a fraction by a fraction and group division