I discovered many misconceptions my students had about buying and leasing cars. One student worked out how much it would cost to buy it and was shocked that it didn't work out to $19 000. You will see interesting things in their work:
Next, I showed them this picture:
I put them in (not-so-random) groups and gave them these instructions:
Each group worked on a whiteboard and was given 6 squares (-ish) of one colour of paper and an envelope (which stayed with the whiteboard):
They took the squares of paper with them as they went around the class to read each other's questions and choose the best one from each group. Here are their questions:
We had 15 minutes left so they had to individually figure out how much wood they would get out of this tree. Some wanted to know more about what the product would be - firewood, 2' by 4', etc. I told them they could choose. Many had trouble starting so I asked what shape the tree was, which was enough to get them going. They didn't like not having one diameter to work with - I did like that they had to make decisions and provide support for those decisions. And I didn't let them leave until they were able to hand in some work.