The game: get the green function [math]f(x)[/math] to pass through the blue points [math](x_1, y_1)[/math] and [math](x_2, y_2)[/math]. My students find this is a great way to practice determining slope and understanding slope-intercept form.
I used this with my class just after I taught slope-intercept form, and I'll use it again when I teach point-slope form. At first, I just had to be careful to keep one point on the [i]y[/i]-axis, or make sure [i]b[/i] was at least predictable and integer-valued.
Move the blue points to create a new problem for your class, and let them determine what [i]m[/i] and [i]b[/i], or [i]rise[/i], [i]run[/i], and [i]b[/i].
This applet has been designed specifically for smart board use; sliders and points should move easily without triggering popup menus and such.
Send me feedback! Enjoy!
