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Multiple Choice Patterns & Function Machine Worksheets

These multiple choice patterns and function machine worksheets help students identify rules, continue sequences, and analyze mathematical relationships through guided practice. The multiple choice format allows students to focus on pattern recognition while building confidence through structured answer options.

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Function Machines Determining Pattern Rules Continuing Number Patterns Continuing Visual Patterns Identifying Functions

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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.

Multiple Choice Patterns & Function Machine Worksheets - Determining Function Machine Rule (+ or -) (MC) worksheet

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Determining Function Machine Rule (+ or -) (MC)

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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.

Multiple Choice Patterns & Function Machine Worksheets - Adding & Subtracting below 50 (Multiple Choice) worksheet

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Adding & Subtracting below 50 (Multiple Choice)

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.

Multiple Choice Patterns & Function Machine Worksheets - +,-,×,÷ With Variables (2 Steps) worksheet

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+,-,×,÷ With Variables (2 Steps)

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.

Multiple Choice Patterns & Function Machine Worksheets - +,-,×,÷ With Variables worksheet

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+,-,×,÷ With Variables

Figure out the rule that changes an input number into an output number.
Choose which operation and number make the rule work for all the examples in a table.

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.

Multiple Choice Patterns & Function Machine Worksheets - Multiple Choice + , - , × , ÷ worksheet

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Multiple Choice + , - , × , ÷

Figure out what operation (add, subtract, multiply, or divide) changes one number into the next in a pattern.
Compare answer choices and pick the rule that matches all the numbers in the pattern.

Multiple Choice Patterns & Function Machine Worksheets - Finding Same Pattern Rule worksheet

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Finding Same Pattern Rule

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.

Multiple Choice Patterns & Function Machine Worksheets - Continuing Pattern Rule with Tables worksheet

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Continuing Pattern Rule with Tables

Figure out the rule that connects the input and output numbers in a table.
Check that the same rule works for every row in the table.

Continuing Number Patterns

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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.

Multiple Choice Patterns & Function Machine Worksheets - Continuing Patterns (+ - ) worksheet

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Continuing Patterns (+ - )

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Figure out the rule in a number pattern that goes up or down by the same amount each step.
Choose the next number that correctly continues an addition or subtraction pattern.
Spot when a number does not fit the pattern and pick the option that does.

Multiple Choice Patterns & Function Machine Worksheets - Determining Correct Pattern (+ , - ) worksheet

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Determining Correct Pattern (+ , - )

Figure out whether a number pattern is going up by adding or going down by subtracting.
Use the change between numbers to identify the rule in a sequence.
Choose which rule matches a given pattern when there are several options.

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.

Multiple Choice Patterns & Function Machine Worksheets - Continuing Patterns (Visual) worksheet

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Continuing Patterns (Visual)

Figure out which shape or picture comes next in a repeating pattern.
Find the missing picture in the middle of a visual sequence.
Use the pattern rule to choose the correct answer from a set of options.

Identifying Functions

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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.