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determining pattern rules Worksheets

This section provides comprehensive worksheets for 4th and 5th grade students to master pattern rules and function machines. Students practice identifying pattern attributes, creating sequences, writing equations from input-output data, and determining which mathematical operations govern different patterns.

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4th Grade 5th Grade

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numeric Word tables addition subtraction short sentence Multiple Choice multiplication division

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Determining Pattern Rules

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.

determining pattern rules Worksheets - Identifying Pattern Attributes worksheet

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Identifying Pattern Attributes

4oa5

Spot what stays the same and what changes in a number pattern.

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determining pattern rules Worksheets - Creating Patterns worksheet

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Creating Patterns

4oa5

Create your own number pattern by adding or subtracting the same amount each time.
Use the rule to figure out a missing number later in the pattern.
Explain the pattern rule in words or as a simple math sentence (like “add 3 each time”).

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determining pattern rules Worksheets - Function Machine - Creating Equations (+-×?) worksheet

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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.

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determining pattern rules Worksheets - Pattern Rule worksheet

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Pattern Rule

Figure out what operation is happening in a number pattern (add, subtract, multiply, or divide).
Explain the pattern rule in simple words, like “add 3 each time.”
Check that a rule works for every step in the pattern, not just one pair of numbers.

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determining pattern rules 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.

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determining pattern rules 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.

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determining pattern rules 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.

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