Taxi Cab Geometry Non-Euclidian Counting Problem
What is the shortest distance? What is the shortest distance from A to B? Let each edge of a square be 1 inch.
What is the shortest distance? What is the shortest distance from A to B if you have to stay on the grid lines? Verify by having 2 drawings. Explain how you know there isn’t a shorter distance.
How many shortest paths are there?
Problem Solving Skills Study a simpler problem and look for patterns.
1x systems For the 1x blocks, find the length of a shortest path and how many shortest paths there are. Note any patterns.
2x systems For the 2x blocks, find the length of a shortest path and how many shortest paths there are. Note any patterns.
3x systems For the 3x blocks, find the length of a shortest path and how many shortest paths there are. Note any patterns.
How many shortest paths are there?