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 OBJECTIVE - G.C.A.1   Prove that all circles are similar.   INTERPRETATION OF OBJECTIVE - G.C.A.1 This objective needs no interpretation. SKILLS (1) The student will determine a single or sequence of similarity transformation between two circles.   (2) The student will be able to prove that two circles are similar. THE BIG IDEA This doesn't seem like a big idea but it is. One of the essential relationships found in circles is that no matter the size of the circle the circumference divided by the radius is a constant value, pi. This relationship helps us establish what a radian is later in the unit. TRAPS & PITFALLS I can't think of any pitfalls. PAST CONNECTIONS This is easy... this of course connects to Unit #2 and similarity. We need to establish a sequence of similarity transformations between the two shapes to establish similarity.   FUTURE CONNECTIONS We need circles to be similar and proportional so that we can apply the concepts of radians to circles. MY REFLECTIONS (over line l) First time around I treated this very lightly... it is an easy concept but now as I look at radians I realize more emphasis here would make radians easier to see and understand.