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Problem
Problem
A string is stretched corner to corner on a floor tiled with square tiles. If the floor is 28 tiles long and 35 tiles wide, how many tiles does the string cover?
(Note: A string does not cover a tile if it only touches the vertex of that tile.)
Can you generalize for any rectangular room (x tiles long by y tiles wide) whose floor is covered with square tiles?
What new questions can you ask about this problem?
Task
Task
Start working on the problem. We'll check back in about 10 minutes.
Share
Share
It’s not a problem if you want to just talk, and it’s also not a problem if you want to show a visual somehow. (We just want to see how you do/have been sharing mathematical thinking.)
Afterwards
Afterwards
Is this a problem that you imagine you would do with your students? Explain.
How does our previous discussion inform the goal for your Problem Solving unit? What would the unit look like?
How would you “teach” problem solving strategies so that students organically learn?
How would you sequence these types of problems and organize them for the unit? Is there a pattern to these types of problems ;)
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