Understanding Linear vs. Nonlinear Patterns

Ever wondered why some graphs make straight lines while others curve or twist? In Understanding Linear vs. Nonlinear Patterns, you’ll explore the fascinating world of mathematical relationships and learn how to tell the difference between steady, predictable changes and patterns that take a more surprising turn.

Linear patterns follow a clear, constant rule — their rate of change stays the same. That’s why they form straight lines on a graph! Nonlinear patterns, on the other hand, like to break the rule. They curve, bend, or even zigzag, showing that the relationship between x and y isn’t always consistent. You’ll learn to recognize these patterns by observing how numbers and graphs behave.

Each exercise in this playsheet gives you a chance to spot, compare, and explain these differences. You’ll look at tables, equations, and graphs, identifying which show linear relationships and which are nonlinear. By thinking carefully about how y changes as x increases, you’ll sharpen your problem-solving and logical reasoning skills.