Dan Meyer published his second #MakeOverMonday textbook revision challenge tonight - Checkerboard Borders. Check it out here!
I wonder ... when a contractor gets a tiling job, does he use math to determine the number of tiles needed? What planning does he do before laying out a pattern?
I would give students just the context in italics above ... with some thinking time ... and then proceed:
1. What questions come to mind?
2. In teams, go to our 9th grade cafeteria and collect information that will be helpful to you.
3. In teams, use the graph paper and colored pencils provided to create a diagram that fits the problem description.
4. Determine how many colored tiles will be needed to create the pattern your team drew.
5. Suppose the school administration changes its mind and now wants to tile the cafeteria in the 1100 building instead of the 9th grade cafeteria. Create a generalization or rule that will work on any size cafeteria. Does it matter if the cafeteria floor is square or rectangular? Explain your thinking.
6. The cafeteria manager looks at your diagram and comments that his serving equipment will need more than 2 rows of checkerboard pattern. He requests 4 rows. How does that change the rule you created for the contractor?
7. Create a mini poster with your floor design, calculations, and generalizations.
How would you modify the problem?