How much does y move for every ONE x? These free printable worksheets read the rate of change and the starting value straight off a table.
If they get stuck
The answer key prints on a separate page.
Rate of change is a division, and the whole difficulty is the denominator. On a table whose x column steps by one, the rate IS the difference in y — and a student who has only ever seen those tables reads 12 off a column that steps by three, because 12 is the number the subtraction gave them. It is the right subtraction and the wrong answer.
So both kinds are on every page, drawn separately rather than left to the seed. A sheet of only unit steps teaches subtraction and calls it rate of change; a sheet of only larger steps never shows what the easy case is a special case of. Seeing them side by side is what makes the division visible, and the walks write it out even when the divisor is 1 — that is the one place the habit can be formed, because dividing by one leaves no trace in the answer.
One question from a sheet like this one, worked a step at a time — with a sentence saying what just happened and why.
Rate of change from a table, step by step