Distance Formula
Using rulers, students measure distances on a diagram to find a shortest path. They create ordered pairs and a scatterplot. With the motivation that the scatterplot has a clear message, the students develop a function that measures the distances using the distance formula. Based on the function, the shortest distance can be estimated and then considered on the diagram. A follow-up problem involving determining the best place to put a new Post Office is included.
Technology: Ruler, Graphing Calculator.