A pattern rule explains how a sequence of numbers, shapes, or other quantities is formed and continued, such as repeating a unit or adding or subtracting the same amount from one term to the next. The learner connects the rule to the relationship between successive terms and can express it in words, tables, or visual representations, rather than merely naming the next term; symbolic formulas and rules involving more general or complex relationships are beyond this level.
A pattern rule tells how one term changes to get the next term.
Example:
Step 1: Compare numbers next to each other.
Step 2: Check that the change stays the same.
Each number is found by adding to the number before it.
| Term | Number |
|---|---|
| 1st | 4 |
| 2nd | 7 |
| 3rd | 10 |
| 4th | 13 |
Step 3: Say the rule in words.
The rule is: Start at 4 and add 3 each time.
Using the rule, the next number is . The important part is explaining how the pattern is formed, not only naming the next number.
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