It was a new day today and things went great. In algebra I put up the following pictures (credit goes out to Dan)
I wish I would have read a little more into his post before today; I lacked the strong closure and connections. After talking about these for a while, we dove into proportions.
Students didn’t have much trouble with these, but we had some great conversations on the different methods of solving each. A lot of students were looking for patterns between the two ratios so when I threw this one up they were perplexed.
We talked about how most of the time we see a variable in the numerator of a fraction and worked on using inverse operations to get it there. I was hesitant to simply tell them the technique of cross multiplication without any reason for WHY it worked. We will get into that tomorrow and follow up with some practice for most of the period.
In Geometry we worked on syllogisms and the law of detachment. I used the witch clip from Monty Python and Direct T.V. commercials to introduce the concept then followed up by having students write their own. They really seemed to enjoy this!
Much better day today!