Today Carson and I worked on using the Pythagorean Theorem to derive the Distance formula. We started with two points. Carson plotted them on the coordinate plane. I asked him to estimate the distance between them. He guessed 9.5. Then I drew the horizontal and vertical distance between them. I asked him to calculate those distances (he got 6 and 8). I asked how could he use those distances to find the distance between the two plotted points. He knew that he could apply the pythagorean theorem. He found 6^2+8^2 as 100 and realized the distance was 10. So he was pretty close. We did a few more examples like that and then we derived the formula. I showed Carson that while the Pythagorean theorem is helpful, the distance formula might even be a better tool to use depending on the given information.