[br] [b]Course Information [/b][br][br][list][*][b]Course[/b]: Mathematics[br][/*][*][b]Class:[/b] 11[br][/*][*][b]Duration:[/b] 40+40 min[/*][*][b]Technological Equipment: [/b]a computer (that belongs to either the teacher or students), overhead projector, a tablet PC or smart phones.[i] [/i][/*][/list][br][b]Course Content [/b][i][br][/i][i][br][/i]Logarithm function and its graphs[i][br][br][/i][b]Learning Outcomes[/b][br][i][br][/i]At the end of the course, students will be able to: [br][br][list][*]Form a logarithm function as the inversion of an exponential function.[/*][*]Tell to which continuum the exponential and logarithm functions given are symmetrical. [/*][*]Examine the circumstances in which exponential and logarithm functions increase and decrease.[/*][*]Draw the graph of [math]f\left(x\right)=a+log_b\left(x-1\right)[/math][br][/*][/list][br][br][b]Course Objectives and Assessment[/b][br][br]Students will form the graph of a logarithm function and examine the change for various values of the function.  [br][list] [*]Available instructions in the Geogebra program are used to form a logarithm function. [/*][*]Students are given a chance to practice as much as possible. [/*][*]Students’ records are kept for assessment. [/*][*]Depending on the results, students are provided with more practices. [/*][/list][br][b]Learning Strategies[/b][br][i][br]An exponential function is formed. [/i][br]  [br][list][*]A continuum of [i]y=x[/i] is drawn. The points that are equally far from this continuum are identified and a graph through these points is drawn. [/*][/list][list][*]It is expressed that the graph formed is the logarithm function itself. [br][/*][*]Under the conditions in which a logarithm function is defined, students are helped to[/*][/list]discover an increasing function for [i]a>1 [/i]and a decreasing function for [i]0<a<1[/i]. Depending on the value [i]a[/i] takes, the changes in the logarithm function graph is examined. [br][list][*]Technology will be integrated when the students have practices. Student practices will be[/*][/list]printed out. Necessary feedback and correction will be projected via the projector.[br][br][b]Resources[/b][br][br]A text book.[br][br] [b]Integration of Technology[br][/b][br]The Geogebra program is introduced to the class in advanced.  Practices are done in a class with a reliable internet connection. In case there is a technological problem (such as the lack of internet access), practices will be done off-line. Besides, the hard copies of the practices to be done on the program Geogebra are printed out in advance. In case of a problem with the available technical equipment, the lesson will be conducted over these copies.