Pattern Recognition: Formulating Mathematical Rules and Function Tables
A numerical pattern is an ordered sequence of numbers governed by a specific mathematical rule. Developing the ability to detect the underlying pattern rule, extend it, and predict future terms is a cornerstone of inductive reasoning. A pattern rule can involve repeated addition, subtraction, multiplication, or a combination of two operations. In this lesson, students explore numerical sequences and input-output function tables, linking mathematical reasoning directly to everyday problem solving.
🔍 Pattern Types & Underlying Rules
Addition Pattern
3, 7, 11, 15, ...
Rule: Add 4 (+4).
Multiplication Pattern
2, 6, 18, 54, ...
Rule: Multiply by 3 (×3).
Decimal Pattern
0.4, 0.8, 1.2, 1.6, ...
Rule: Add 0.4 (+0.4).
Find the next two numbers in the sequence: «1.5, 2.0, 2.5, 3.0, ..., ...»
Solution: The pattern rule is to add 0.5; the next two terms are 3.5 and 4.0.
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