Here is a link to a better looking version.
I gave them the task to work on for 15 minutes and I went around the classroom getting students started and answering questions. If I had more time I would have done a better job of calling students up and presenting their work, but I was running short on time. I was hoping their thinking would help them think backwards especially with day before lesson.
Some places they might have gotten stuck at that I had posed responses for:
- Students will have a hard time getting started (it feels like a high entry task)
- I will ask them to go through an example problem we have done before, such as x^2-4x+3
- Multiplying the "i's" together, it has been about a full quarter since they have seen imaginary numbers multiplied together.
- I will ask them what i squared is? What do they remember about imaginary numbers?
- Distributing correctly.
- Ask them how they would distribute (x+2)(x+2)?
If you are really digging this lesson, you can view 28 minutes of the lesson here.
I still feel like the entry to the task is too high, I would love comments on how this could be a better lesson.