I feel like I am struggling at the moment. I really wanted to make some changes in how I teach this year and I have made some changes. I have incorporated some different things into my teaching, but I am still at the forefront of my classroom. I struggle with this mentally at least weekly, if not more so. I wanted to be incorporating Reasoning and Sense Making into my classes. I'm not. I did bring in an

open question last week into my Advanced Algebra 2 class and it didn't go as well as I hoped.

I did partially use

this approach today that John Scammell blogged about last week. I think the next time I use it, I will follow the approach as it was blogged about - when I was thinking about it this morning on my way into work, all I could remember was showing which points made the inequality true. In my first class, I had students choose any point on our grid (both x and y values go from -6 to 6 on it) and they all chose points with two positive coordinates. None of those points worked, so I had them choose a coordinate that had at least one negative coordinate and we got some points that worked. Also with the first class, I didn't have them graph the points we came up with. We just graphed the shaded area that did work. For my second and third classes, I had them plot the points we found that worked on their grid before we graphed the inequality on the grid. They then graphed the line and we talked about testing a point to determine which half of the plane to shade. Below is the pdf of my SMARTNotebook file from my last class.

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