# Generate & Analyze Patterns (With Function Tables) Worksheet

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## Reteach: Generate & Analyze Patterns

You've been working with patterns since you were a very small child.

Patterns with shapes;

Patterns with numbers; 2 , 4 , 6 , 8 , 10 , 12 , 14 , 16 , 18 , 20 , 22 , ...

Now it is time to organize what you know about patterns onto a function table.

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## Guided Practice

Different function tables have different rules. Sometimes the rule is given, and you are asked to fill in the missing information on the function table using the rule.

Sometimes the rule is not given, and you are asked to use what you observe about the relationship between the numbers to determine the rule.

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## Independent Practice: Function Tables

Apply the rule for each function table to fill in the missing numbers.
 x + 4 = y x y 0 4 1 5 2 6 3 7
 9x = y x y 3 27 6 54 9 81 12 108
 x - 2 = y x y 10 8 20 18 30 28 40 38
 x + 2 = y x y 11 13 12 14 13 15 14 16
 x - 5 = y x y 15 10 17 12 19 14 21 16
 3x = y x y 4 12 5 15 6 18 7 21
Analyze the relationship between the X and Y numbers to figure out the rule for each table.
 7x = y x y 0 0 1 7 2 14 3 21
 x - 1 = y x y 2 1 3 2 4 3 5 4
 x + 10 = y x y 3 13 6 16 9 19 12 22
Figure out the rule for each table, and use it to complete the missing facts.
 3x = y x y 4 12 6 18 8 24 10 30
 x + 5 = y x y 1 6 3 8 5 10 7 12
 8x = y x y 0 0 1 8 2 16 3 24

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### Related Resources

The various resources listed below are aligned to the same standard, (4OA05) taken from the CCSM (Common Core Standards For Mathematics) as the Algebra Worksheet shown above.

Generate a number or shape pattern that follows a given rule. Identify apparent features of the pattern that were not explicit in the rule itself. For example, given the rule "Add 3" and the starting number 1, generate terms in the resulting sequence and observe that the terms appear to alternate between odd and even numbers. Explain informally why the numbers will continue to alternate in this way.

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