Addition with regrouping worksheets

The week a child learns to carry is the week they need a page where carrying happens every time. A mixed sheet teaches something else by accident: that most sums do not carry, so the ones that do can be treated as the odd case. Here all sixteen carry somewhere — sometimes out of the units, sometimes out of the tens — so the question is never whether to carry but where.

The sums are stacked rather than written along a line, because the algorithm being practiced is a layout as much as an arithmetic. Ones under ones, tens under tens, the answer under the rule — the commonest wrong answer at this age is a right sum written in the wrong column, and graph paper is worth printing alongside this if that is what keeps happening.

The answers were worked out when the problems were, so the key is the same page with the answers drawn in rather than a second attempt at the same questions — there is no way for the two to disagree. The number in the footer is the seed the sheet was built from: it is printed so that the identical sheet can be had again next week, rather than one that merely looks like it.

This page is one sheet out of a family that can print thousands, and the settings behind it — how many problems, how big the numbers get, how they are laid out, whether there is room to work — are all switches. The builder link at the top of the page carries this sheet’s own settings, so the bench opens on exactly the sheet here rather than on a blank one.

The configuration travels in the address bar rather than on a server, so the link can be bookmarked or sent to somebody as it stands — and what they open is this sheet, down to the seed, rather than another one like it.

The Grid does not stack sums — it deals facts. It is the sheet to run when the columns are fine but the number bonds inside them are slow.