Teaching inverse relationships
In your math classWho you gonna call?Art Teachers!
OK, the lyrics are a little clunky …
Inverse relationships are created by reflecting the graph of a relationship across the x-y line on the coordinate plane. One way to do this is to swap the x and y coordinates of the points of the relationship and create a new graph – this method is tedious and can be prone to errors. Another method is to swap the x and y variables in the equation of the relationship and then solve for the new y-variable – this method requires that you start with an equation for the relationship which is not always possible.
The method that is easiest to do, is fun and allows students to actually visualize the inverse relationship is to paint over the relationship with your favorite color (or multiple colors) and then, before the paint dries, fold the paper along the x-y line; finally, open the paper to reveal the image of the inverse relationship. Students did just this with supplies from our resident art teacher, Daria Sur.
oh that sounds cool
We should implement this in the program classes, the visuals are so helpful!
Fun! I also enjoyed your musical arrangement of "Ghostbusters"…that's going to be stuck in my head all day! 🙂