A growing number pattern is understood as a sequence in which each term is related to the previous term by a consistent rule, such as adding the same amount or multiplying by a familiar factor. Learners extend patterns of whole numbers by applying the rule to lists, tables, or number lines and explain how the quantities change; formal algebraic formulas, variable-based generalization, and complex or irregular sequences are beyond this scope.
A growing number pattern changes by the same rule each time. To extend it, compare two neighboring numbers and find what was added or multiplied.
Example: Extend the pattern:
Step 1: Compare neighboring numbers.
From to :
Check the next pair:
The rule is add each time.
Step 2: Find the next number.
Start with and add :
Step 3: Find the number after that.
Add again:
So the completed pattern is:
The pattern grows by each time.
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