Part V - Patterns, Functions & Mathematical Structure

College Mathematics | Math for Teachers | Part V


Module 19: Patterns & Generalizations

Geometric Patterns

Number Patterns

Finding Rules in Repetition

Recursive vs. Explicit Patterns

Generalizing a Pattern with Variables


Module 20: Introduction to Functions

Inputs, Outputs, & Rules

Function Tables

Graphing Functions

Multiple Representations of Functions


Module 21: Linear & Nonlinear Relationships

Linear Functions

Other Functions

Constant vs. Changing Rate of Change

Comparing Linear & Nonlinear Patterns


Module 22: Mathematical Structure & Problem Solving

Geometric Problems

Describing Geometry

Looking for Structure

Making and Testing Conjectures

Explaining Mathematical Reasoning