Describe a path between two stop signs on a city map with horizontal and vertical directions to get a bus to a destination.
[i]Answer these open ended questions on your own or with others to form deeper math connections. [/i]
If a bus drove 1 block up then 1 block right repeatedly on its way from one bus stop to another, would the route be longer?
If bus stop [math]A[/math] is at [math](1,4)[/math] and bus stop [math]B[/math] is at [math](2,6)[/math], what is one possible route between the two stops? Is it possible to count how many routes are possible?
What is the shortest path between any 2 bus stops that are not directly horizontal or vertical to each other? Is this the only one in all situations?