Today Ben was 15 minutes late for class. I found him eating Chik-fil-a in the Art Room. I confronted him on the importance of being in class on time. He apologized.
We worked on his white board, starting with a review on what it means to solve an equation. Ben listened while I provided direct instruction. I showed Ben two lines, and had him direct me on how to graph them. He told me where to plot the y-intercept and how to rise/run from there. I showed Ben how the two lines intersected, and at that location is the solution to both equations. I showed him how we can substitute the x and y values back into both equations and it would work/make sense. Next I showed him two parallel lines. I reminded him that parallel lines have the same slope. I asked him, since parallel lines never intersect, what could the solution be? He said, No solution?? I said YES! He really does a great job of using his intuition to come up with solutions. Tomorrow we will discuss what happens when there are infinitely many solutions.