Chapter 1
Numbers and Operations
Course: Elementary Education 5901
Subject: Elementary Education Mathematics 5903
Chapter: Algebraic Thinking
Recognizing and representing patterns is a central idea in mathematics and an essential foundation for algebraic thinking. Patterns reveal regularity, structure, and relationships between quantities. When patterns are analyzed carefully, they allow mathematical rules to be identified, predictions to be made, and relationships to be expressed using numbers, symbols, and equations. The ability to recognize patterns supports problem solving, mathematical reasoning, and the development of general mathematical rules that apply across many situations.
Identifies, Extends, Describes, or Generates Number and Shape Patterns
A pattern is a sequence or arrangement that follows a consistent and predictable rule. Patterns may occur in numbers, shapes, objects, or symbols. Identifying a pattern requires determining how elements change from one step to the next and recognizing the rule that produces the sequence.
Patterns are commonly divided into number patterns and shape patterns, both of which help reveal mathematical relationships.