6th Grade Patterns & Function Machine Worksheets

This page features free 6th grade function machine worksheets that help students identify patterns and find missing values. Each worksheet contains 12 problems involving addition, subtraction, multiplication, and division operations. Students practice algebraic thinking by determining input or output values in function tables.

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Function Machines

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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.

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• 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.