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Printable place value chart

Thousands, hundreds, tens and ones, headed and ruled, with eight rows underneath. One digit to a box is the whole rule, and it is the rule that makes a number readable: 407 written into the columns has an empty tens box, which is what the nought in it is for.

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Place-value chart

NameDate
4 by 9 chart gridThousandsHundredsTensOnes
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What is on this sheet

The headings are printed inside the grid rather than above it, which is not a design decision so much as a correctness one. A row of words laid out beside the drawing is two things that have to stay lined up, and a chart with “Tens” sitting half a column left of the tens is a mistake a child copies into their arithmetic rather than one anybody notices.

It does the work of base-ten blocks on paper. Write 342 into one row and 138 into the next, add each column, and the moment ten ones have to become one ten is a thing that happens in a box rather than a rule to be remembered — which is the same exchange the blocks make, without there being any blocks.

Every line on the page above is drawn as ink rather than as a background, which is why it comes out of the printer looking like it does on screen: browsers throw background color away unless somebody has ticked Background graphics, and a chart printed as a set of empty boxes is worse than no chart. The lengths are in inches for the same sort of reason — a square that says it is three quarters of an inch is three quarters of an inch, because a child measuring against it will find out if it isn’t. The number in the footer is the seed the sheet was built from, so the identical sheet can be had again next week.

Change what is on it

This page is one sheet out of a family that prints four: a hundred chart, a number line, a coordinate grid and a place-value chart. The range, the interval, how far the axes run and which places the columns hold are all settings — so a number line every 2 to 30, or a chart from 101 to 200, is the same sheet with one control moved rather than a page somebody has to have written first.

The settings travel in the link rather than on a server, so a sheet you make can be bookmarked or sent to another family as it stands — and the Name: line, where a sheet has one, is printed blank, because there is nowhere in a shared link to put a child’s name. See what we don’t collect.

The two references that live next door

A multiplication grid — blank to fill in, with the completed twelve-by-twelve square on the page behind it — is on the math shelf, because it is the times-table family with the grid switched on rather than a chart of its own. Squared, dotted and isometric paper is on the paper shelf, where everything comes on both Letter and A4: a quarter-inch square scaled to fit whatever was in the tray is no longer a quarter-inch square.

Every chart and grid

8 pages, each one a sheet like this one. Nothing is locked and nothing needs an account.

Counting

The two references a child counts on: a chart, and a line.

Place value

Columns to write a number into, one digit to a box.

Plotting

Axes to find a point on, with and without negative numbers.