**Standard**:

**Flipped:**

Make your own parallel line puzzle. Make an easy one and a hard one.

**Meta:**

What’s the minimum number of angles that you have to provide in a puzzle with 2 intersecting pairs of parallel lines?

There’s a worthwhile impulse here, but I don’t like the way the meta-problem turned out. But I think that there’s something really worthwhile here, the notion that after solving a problem we then study the class of problems itself.

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I wonder if there are any problems we can give where the students will actually be curious about the lines and their angles of intersection. I like these types of problems as puzzles, where you are trying to use clues to figure out the solution, but I also wonder how we can increase their perplexity.

No clue. I don’t think you could get anything close to this level of complexity with anything real-world.

We can try to fake it and stretch it like textbooks do, but it isn’t going to be relevant to the students. I’d say the best we can do is make it interesting and hope they find it meaningful enough to accept our challenge.

The problem itself is great. Where in the process would you have them create their own?

Here’s a problem involving parallel lines and a transversal, except that by categorizing the problem in this way and putting it in the comments, we’ve already given away the solution (shhh!):

http://fivetriangles.blogspot.com/2013/07/82-proofs-101.html