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5th Grade Patterns & Rules Worksheets

5th Grade Patterns & Rules: generate two patterns from rules, compare them, and graph the pairs. Every worksheet is free, prints as a PDF with an answer key, and can be assigned online. The ones teachers open most are first.

← All 5th grade topics 5.OA.3

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

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Function Machine - Creating Equations (+-×?)

5oa3

Student objectives

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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5th Grade Patterns & Rules Worksheets - Graphing Patterns worksheet

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Graphing Patterns

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Student objectives

Practice generating number patterns for x and y using rules like "start at 7 and add 2" or "start at 19 and subtract 3"
Pair up the x and y values to create coordinate points and plot them on a graph
See how two different patterns combine to form a line when graphed together

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

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+,-,×,÷ With Variables (2 Steps)

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Student objectives

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.

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

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Finding Same Pattern Rule

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Student objectives

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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5th Grade Patterns & Rules Worksheets - Graphing Ordered Pairs from a Rule worksheet

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Graphing Ordered Pairs from a Rule

Student objectives

Make ordered pairs from a rule.
Graph ordered pairs in the first quadrant.
Complete a table using a rule.

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5th Grade Patterns & Rules Worksheets - Identifying the Origin and Axes worksheet

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Identifying the Origin and Axes

Student objectives

Name the origin of a coordinate plane.
Tell which coordinate moves along each axis.
Find how far a point is from an axis.

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

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Completing a Table with a Two-Step Rule

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Student objectives

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

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5th Grade Patterns & Rules Worksheets - Predicting a Number in a Pattern worksheet

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Predicting a Number in a Pattern

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Student objectives

Extend a pattern several places.
Use a rule to predict a later number.
Apply a rule repeatedly.

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

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Choosing the Rule for a Pattern

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Student objectives

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

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More 5th grade topics

Adding, Subtracting, Multiplying & Dividing Decimals 21 Decimals: Place Value & Powers of Ten 34 Volume 13 Multiplying Fractions 13 Dividing with Unit Fractions 11 Comparing & Rounding Decimals 6 Coordinate Plane 8 Adding & Subtracting Fractions 24 Converting Measurements 11 Multiplication 10 Order of Operations & Expressions 9 Classifying Shapes 6 Long Division 10 Line Plots 3

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