Reflection on Midpoint/Radius of Circles
This worksheet was done during the chapter about circles, ellipses, parabolas, and hyperbola. The assignment was to look at the equations of the circles on the sheet and decipher the center and radius quantities. Calculating the center involved making the X quantity zero; for instance, in [X-5]2 “X” equals five because five minus five equals zero. If the it was not in standard form, I had to use a technique called “Completing the Square” which is seen on numbers fifteen to twenty on the worksheet. To find the radius, I simply took the square root of the number on the right of the equals sign.
From this assignment, I learned how to find the radius and center of a circle by only using the equation and how to change a circle equation into standard form. What I enjoyed about this assignment was that in finding the answers, you had to connect the dots with the same answers together. In the end, I would know if I was wrong if the picture came out oddly. In the future, I would change this assignment to involve having to graph the equation so a person could master this skill as well. This proves my mastery of the “Effective Communicators” ESLR because with writing the center points in parenthesis and showing that the radius is a certain number by writing “r =”, I used symbols to clarify mathematical concepts.