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.
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Detailed Explanation: Extend growing number patterns
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.
Learn by doing: Extend growing number patterns
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Practice:
Patterning - Next in Increasing Arithmetic Number Pattern
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Download/Modify Free Grade 3 'Extend growing number patterns' Worksheet
Print this free 'Extend growing number patterns' worksheet to practice this skill away from the computer. Click 'Modify' to easily customize this worksheet to your exact needs.
This Worksheet Includes:
- Patterning - Next in Increasing Arithmetic Number Pattern
- Skip Counting Upward by Single Digits - Next 3 in Pattern
- Skip Counting Upward by Tens (Three Missing)
- Patterning - Next in Place Value Pattern
- Skip Counting Upward by 10 - Next 3 in Pattern
- Skip Counting Upward by 2 - Next 3 in Pattern
- Skip Counting Upward by 2 - Next in Pattern
- Skip Counting Upward by 5 - Next 2 in Pattern
Units Teaching This Skill
These adaptive units introduce, teach, or reinforce this skill (Extend growing number patterns) through scaffolded problems that grow in difficulty as concepts are understood.