Certify Teacher Practice Test 2025 – 400 Free Practice Questions to Pass the Exam

In Mr. Smith's class, students explore patterns primarily through implicit and explicit rules. This means they examine how certain values or elements change in a structured manner, allowing them to identify and formulate generalizations about the relationships between numbers, shapes, or objects.

Implicit rules can be understood as the underlying connections in a pattern that may not be overtly stated, while explicit rules provide a clear formula or method for understanding how to continue the pattern or make predictions about future elements. This exploration helps students develop critical thinking and analytical skills since they must recognize and articulate the rules that govern the patterns they see.

Engagement with these types of relationships is crucial for building a strong foundation in algebraic thinking, as it introduces concepts of dependency, functions, and changes, which are integral parts of mathematics.