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Find a simple input-output rule

The learner identifies a consistent one-step rule connecting each input to its output, typically adding or subtracting a small whole number within 20, and uses the rule to complete missing entries or predict outputs. Input-output tables, arrow diagrams, and equations represent the same relationship; the focus is on preserving the rule across examples, not on formal function notation, multiplication-based rules, or rules involving larger or more complex numbers.

Detailed Explanation: Find a simple input-output rule

Look at how each input changes to become its output. The same change should work every time.

Example:

InputOutput
3388
551010
771212
99??

Start with a pair you know:

3+5=83+5=8

So, the rule might be add 55.

Check the rule with another pair:

5+5=105+5=10

It works! Check one more:

7+5=127+5=12

It still works, so the rule is add 55.

Now use the rule for the missing output:

9+5=149+5=14

The missing output is 14\boxed{14}.

Learn by doing: Find a simple input-output rule

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Patterning - Concept Intro - Picture to Rule


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