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Patterns & Function Machine 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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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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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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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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Determining Pattern Rules

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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.

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Identifying Pattern Attributes
Each worksheet has 10 problems using pattern attributes to answer questions.
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Creating Patterns
Each worksheet has 10 problems creating a pattern and finding a number in the pattern.
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Function Machine - Creating Equations (+-×?)
Each worksheet has 12 questions creating an equation from the input and output of a function machine.
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Pattern Rule
Each worksheet has 15 problems identifying the rule a pattern is using.
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Multiple Choice + , - , × , ÷
Each worksheet has 12 problems identifying the rule a pattern is using.
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Finding Same Pattern Rule
Each worksheet has 10 problems determining which option uses the same pattern as shown.
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Continuing Pattern Rule with Tables
Each worksheet has 6 problems determing the equation used to continue the pattern.
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Continuing Number Patterns

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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.

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Continuing Visual Patterns

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These worksheets ask students to identify the missing element in a visual repeating pattern. Students analyze shapes, colors, or pictures that follow a predictable sequence and determine which item completes the pattern. This builds logical reasoning and observation skills.

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Identifying Functions

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About these worksheets

Students learn to identify whether a relationship is a function using equations, graphs, and tables. Activities include applying the vertical line test to graphs, checking if each input has exactly one output in tables, finding points that belong to a given function, and matching function equations to tables. Aligned with eighth grade standards.

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Identify Functions (Equations)
Each worksheet has 20 problems identifying if an equation describes a function.
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Identify Functions (Graphs)
Each worksheet has 6 problems determining if a graph shows a function.
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Identifying Functions (Tables)
Each worksheet has 15 problems identifying if a I/O table describes a function or not.
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Identifying Points of a Function in a Graph
Each worksheet has 6 problems identifying a point that can also be part of the same function on a graph.
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Identifying Points of a Function in a Table
Each worksheet has 9 problems identifying a point that can also be part of the same function in a table.
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Identifying Tables from a Function
Each worksheet has 5 problems identifying tables from a function.
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