How it works
These function boxes worksheets print in and out tables with the rule on top. Every rule multiplies or divides by one number. The pupil fills in the missing Out numbers and works backwards for the missing In numbers.
Read the full guide
How an input output tables worksheet reads
The rule sits above each table, such as Rule: × 4. A number goes In, the rule works on it and the answer comes Out: 7 goes in and 28 comes out. Under Rule: ÷ 4 it runs the other way, 28 in and 7 out. A function box or function machine is the same table drawn as a box.
Out first, then In
Start with Find Out: rules × and ÷ 2 to 5, where the pupil only applies the rule. The Find In sheets hide the In column, so each rule has to be undone: with Rule: × 3 and Out 24, divide 24 by 3. The mixed sheets hide some of each.
- Half the tables on every sheet divide. No sheet here has only × rules, so teach division facts first.
- No rule here adds or subtracts. For patterns that add, such as + 5, print skip counting worksheets.
Questions and answers
What is a function box in math?
A table with a rule. A number goes in, the rule changes it, and a number comes out. With the rule × 6, an In of 4 gives an Out of 24. Function machine and input-output table are other names for it.
What grade are math input and output worksheets for?
Mostly grades 3 to 5. Texas asks third graders to show number pairs in a table and fourth graders to use an input-output table for a pattern that follows a rule. Tables with × and ÷ rules need the times tables first.
How do you find the In number in an input-output table?
Undo the rule. If the rule is × 7 and the Out number is 84, divide: 84 ÷ 7 = 12. If the rule is ÷ 5 and the Out number is 6, multiply: 6 × 5 = 30.
Do the function boxes worksheets have an answer key?
Yes. The key prints as the last page with every In and Out number filled in. To print the tables alone, untick Answer key before you press Print.