Playwire Advertisement

5th Grade Patterns & Function Machine Worksheets

Help 5th graders master patterns and algebraic thinking with our function machine worksheet. Students analyze input and output values to create equations using addition, subtraction, and multiplication. This activity builds foundational skills for understanding mathematical relationships and prepares students for more advanced algebra concepts.

Filter By Grade

3rd Grade 4th Grade 5th Grade 6th Grade 8th Grade Remove Filter

Problem Type

numeric Multiple Choice tables converting forms short sentence horizontal

Jump to a Heading

Function Machines Determining Pattern Rules Continuing Number Patterns

Image Size

Function Machines

Link

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.

5th Grade Patterns & Function Machine Worksheets - +,-,×,÷ With Variables (2 Steps) worksheet

Select a Worksheet >

Pin It

+,-,×,÷ With Variables (2 Steps)

5oa3

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.

Determining Pattern Rules

Link

About these worksheets

These worksheets help students identify and describe pattern rules. Activities include spotting attributes in number patterns, creating patterns from given rules, writing equations from function machine data, and determining whether patterns use addition, subtraction, multiplication, or division. Worksheets also include matching patterns and using tables to continue rules. Spanning fourth and fifth grade standards.

5th Grade Patterns & Function Machine Worksheets - Function Machine - Creating Equations (+-×?) worksheet

Select a Worksheet >

Pin It

Function Machine - Creating Equations (+-×?)

5oa3

Figure out the rule a function machine is using by looking at the input and output numbers.
Write an equation that matches a number pattern, using a variable for the input.
Decide which operation (add, subtract, multiply, or divide) connects the input to the output.

5th Grade Patterns & Function Machine Worksheets - Finding Same Pattern Rule worksheet

Select a Worksheet >

Pin It

Finding Same Pattern Rule

5oa3

Figure out the rule in a number pattern by looking at how the numbers change.
Compare two patterns and decide if they follow the same rule.

5th Grade Patterns & Function Machine Worksheets - Choosing the Rule for a Pattern worksheet

Select a Worksheet >

Pin It

Choosing the Rule for a Pattern

5oa3

Choose the rule that describes a pattern.
Write a pattern rule using a variable.
Tell an adding pattern from a multiplying one.

5th Grade Patterns & Function Machine Worksheets - Completing a Table with a Two-Step Rule worksheet

Select a Worksheet >

Pin It

Completing a Table with a Two-Step Rule

5oa3

Apply a rule with two operations.
Complete an input and output table.
Use a rule to predict an output.

Continuing Number Patterns

Link

About these worksheets

Students practice continuing number patterns by identifying the rule and predicting what comes next. Worksheets include patterns that increase or decrease by a constant amount, finding missing numbers in sequences, choosing the correct pattern from multiple options, and using a 100 chart to spot patterns. Aligned with fourth grade.