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function machines Worksheets

This section features 7 function machine worksheets designed for grades 3-6 that help students develop algebraic thinking skills. Students analyze input-output relationships to determine mathematical rules involving addition, subtraction, multiplication, and division, including multi-step operations with variables.

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Function Machines

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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Determining Function Machine Rule (+ or -) (MC)
Each worksheet has 9 problems determining what rule a function machine is using. All problems use addition or subtraction rules from 1 to 50).
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Determining Function Machine Rule (+ or -)
Each worksheet has 12 problems determining what rule a function machine is using. All problems use addition or subtraction rules from 1 to 50).
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Add/Sub/Mult/Div
Each worksheet has 12 questions finding the missing value from a function machine.
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Adding & Subtracting below 50 (Multiple Choice)
Each worksheet has 10 problems finding the rule a function machine is using. All rules are either adding or subtracting within 50.
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Adding & Subtracting below 50
Each worksheet has 12 problems finding the rule a function machine is using.
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+,-,×,÷ With Variables (2 Steps)
Each worksheet has 10 problems identifying what the rule pattern is using with variables. Problems may have more than one step.
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+,-,×,÷ With Variables
Each worksheet has 9 problems identifying what the rule pattern is using with variables.
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