function machines Worksheets
Free patterns & function machine worksheets with answer key. No login or account needed. From identifying and extending patterns, evaluating function machines, to solving word problems involving patterns and functions, we've got you covered. A grading column and quick grade scale maker grading a breeze and a modified pages help with lower level learners or when just introducing a topic. Great for teachers or for homeschool.
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About these worksheets
Function machine worksheets develop input-output reasoning skills. Students figure out the rule a function machine uses — whether addition, subtraction, multiplication, division, or a two-step operation — by analyzing input-output pairs, then apply the rule to find missing values. Resources span third through sixth grade.
3oa9

- Figure out what number is being added or subtracted to turn each input into the output.
- Use a few input-output examples to spot a consistent pattern and name the rule.
- Check that the same rule works for every pair in the table before choosing an answer.
- Tell the difference between an “add” rule and a “subtract” rule by comparing inputs and outputs.
3oa9

- Use a few input-output examples to spot a consistent pattern and write the rule.
- Check that the rule works by testing it on another input-output pair.
6rp3a

- Figure out the missing input or output number when a machine adds, subtracts, multiplies, or divides by a rule.
- Use the given input-output pairs to identify the operation and number being used in the rule.
- Work backward through an operation to find an unknown value (like undoing +, −, ×, or ÷).
- Check that a rule works for more than one pair in the table before filling in the blank.

- Figure out what number is being added or subtracted by looking at an input and its output.
- Use addition and subtraction facts within 50 to check which rule makes the outputs match.
- Choose the correct rule from a few options by testing it on the numbers shown.

- Figure out what a function machine is doing by looking at the input and output numbers.
- Use addition and subtraction to find the rule that changes one number into another.

- Figure out what a function machine is doing by looking at the input and output numbers.
- Use addition and subtraction to find the rule that changes one number into another.

- Figure out the rule that changes an input number into an output number using a letter like x or n.
- Use two-step rules that mix operations like add/subtract and multiply/divide.
- Check that a rule works by plugging in different inputs and seeing if you get the matching outputs.