Katedra matematiky - Katolícka univerzita v Ružomberku

176 Takács István ÁrpádAsk the students to draw one:It will be looks like one out of this two. Now ask a student to create anarbitrary triangle:!!! This is also a right angled one !!!The conception to realize, to identify the triangles (planar objects: rhombus- rotated square) is one of the biggest problem in normal students. Ican prove that the last triangle is also right-angled. They can’t see it, whilethey met only the previous two "face" of triangle. It indicates the wayof teaching, Polya’s second law: After understanding, then make a plan.Everybody is excepted ton contribute according to his level. Accordingly Inot only teach the functions ant their transformations I also make lessonsto identify functions.Another Std level exercise from 5 may 2009:The graph of the function f : R → R; f(x) = sinx is translatedby the vector ⃗v = ( π2 ;−3) in the Cartesian system yielding thegraph of a function g(x) . What is the formula of this function?(3 points out of 100)