I wanted to introduce them to standard form and have usually done this by giving the equation and having them graph. In years past, I found many students really struggled with For some reason, I decided on a different approach this year. This year I gave students the x and y intercepts and asked them if they could figure out an equation that would fit. I introduced this equation as:
____ x + ____ y = ______
It became a puzzle and eventually kids nailed the idea that if we have the points (2, 0) and (0, 3), we can write the equation as: 3x + 2y = 6. And after 5 or 6 examples, I gave them the points: (e, 0) and (0, f) to which they responded with: fx + ey = fe.
Now, given the equation, can we find the x and y intercepts?
Not a problem.
The game play at the beginning of the lesson really opened them up to the idea which made any actual instruction I had to do much easier.
In the end, I say it was a win.