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Patterns and Rules

Generate and analyze number patterns using rules.

Written and reviewed by the Study Mondo Education TeamLast updated
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Patterns and Rules

Number Patterns

A pattern is a sequence that follows a rule.

Example: 3, 6, 9, 12, 15, ...

  • Rule: Add 3 each time
  • Next numbers: 18, 21, 24

Writing Rules

PatternRule
2, 4, 6, 8, ...Add 2
5, 10, 20, 40, ...Multiply by 2
100, 90, 80, 70, ...Subtract 10
1, 4, 9, 16, 25, ...Square numbers (12,22,32,...1^2, 2^2, 3^2, ...)

Input-Output Tables

A rule connects input numbers to output numbers:

InputOutput
15
28
311
4?

Rule: Multiply by 3, then add 2. So input 4 → 4×3+2=144 \times 3 + 2 = 14

Features of Patterns

  • Patterns can be increasing (going up) or decreasing (going down)
  • The same rule always gives the same result
  • Patterns help us predict what comes next

Even and Odd Patterns

  • Even + Even = Even: 4+6=104 + 6 = 10
  • Odd + Odd = Even: 3+5=83 + 5 = 8
  • Even + Odd = Odd: 4+3=74 + 3 = 7

Challenge: What rule makes this pattern? 1, 1, 2, 3, 5, 8, 13, ... (Answer: Add the two previous numbers — this is the Fibonacci sequence!)

Explain using:
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Factors and Factor Pairs
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Factors and Factor Pairs

❓ Frequently Asked Questions

What is Patterns and Rules?▾
Generate and analyze number patterns using rules.
How can I study Patterns and Rules effectively?▾
Start by reading the study notes and working through the examples on this page. Then use the flashcards to test your recall. Regular review and active practice are key to retention.
Is this Patterns and Rules study guide free?▾
Yes — all study notes, flashcards, and practice problems for Patterns and Rules on Study Mondo are free to access. No account is needed.
What course covers Patterns and Rules?▾
Patterns and Rules is part of the Grade 4 Math course on Study Mondo, specifically in the Factors and Multiples section. You can explore the full course for more related topics and practice resources.