The big ideas
What the levels teach, in grown-up words.
- Fair means the same. Sharing fairly means every person gets the same number. Dealing one at a time, round and round, always ends fair.
- Halves, quarters and thirds are equal parts. A half is one of two equal pieces, a quarter one of four, a third one of three. The pieces have to be the same size, or they are not halves, quarters or thirds.
- More pieces means smaller pieces. A third of a bar is smaller than a half of the same bar, because the bar was cut into more pieces.
- Sometimes there is a remainder. Seven cookies shared by three friends gives two each with one left over. The leftover is the remainder.
- Sharing into equal groups is dividing. Twenty-four muffins in boxes of six fill four boxes: 24 divided by 6 is 4. Half of twelve is six: 12 divided by 2.