I showed Hunter how to derive the quadratic formula by completing the square. We did several examples of solving quadratic equations using the formula. I told him that we can always use the quadratic formula to solve a quadratic equation. He did 11 problems from a worksheet where he solved quadratic equations using the formula. I then taught him about the discriminant. The value of the discriminant tells us how many solutions a quadratic equation has. This can also tell us whether the parabolic graph of the equation crossed the x axis in one, two, or zero places. Hunter is starting to see the connection between the equations and their graphs. He was also able to recite the quadratic formula by the end of our session. I was very proud of him!