Course Information[br][br][list][*]Course: Mathematics [br][/*][*]Class: 12[br][/*][*]Duratione: 40 min[/*][*]Technological Equipment: [i]Interactive board, student's tablets[/i][/*][/list][br][br]Content[br][br][color=#999999][i]Applications of definite integral.[/i][br][/color][br][br]Learning Outcomes[br][br][color=#b6b6b6][i]Students will ve able to[/i][/color][br][list][*][color=#999999][i]Apply what they learn to definite integral.[/i][/color][/*][*][i][i][color=#999999]Compute the area, which between two curves. [/color][/i][/i][/*][*][color=#999999][i]Use definite integral in modeling and problem solving. [/i][/color][/*][/list][br]Course Objectives and Assessment [list][*][color=#999999][i]Students can compute area which between two curves using with GeoGebra[/i][/color][/*][*][color=#999999][i]Students will be instructed on how to use the program.[/i][/color][/*][*][color=#999999][i]Students can compute areas, which is between different curves. [/i][/color][/*][/list][br]Learning Strategies[br][br][list][*][color=#999999][i]Discovery, demonstration and implementation. [/i][br][/color][/*][*][color=#999999][i]Geogebra program, Student's tablets, text book, interactive board. [/i][/color][/*][/list][color=#999999][i][br][/i][/color]Resources[br][br][color=#999999][i]Geogebra program[/i][br][/color][br][br]Integration of Technology [br][color=#999999][list]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.[/list][/color][br] 

Find the area between the functions  [math]f\left(x\right)=-x^2+2\cdot x+8[/math] and [math]g\left(x\right)=-x-2[/math] using of dynamic geometry software.

[list=1][*]Open GeoGebra program.[/*][*]Open Algebra Window in View Menu.[/*][*]Click "Show Grid" in Graph Window.[/*][*] Write [math]f\left(x\right)=-x^2+2\cdot x+8[/math] and press Enter. (Thus the graph of function f(x) is drawn.)[/*][*]Draw a graph the funciton [math]g\left(x\right)=-x-2[/math] similar way (Thus in the same coordinate system graphs of the functions f(x) and g(x))[/*][*]Click the button Intercept and then click f and g (Thus the interceptpoint of f and g is determined [color=#ff0000](A(-2,0),B(5,-7))[/color][/*][*]Write input '[color=#ff0000]'İntegral[abs(f(x)-g(x)),-2,5]'' [/color].(Thus the area is computed.)[/*][/list]

Find the area using GeoGebra between the curve [math]y=x^3[/math] and the straight line y=x. [br]

Find the area of section, which is between the curves [math]y=e^x[/math] and [math]y=e^{2-x}[/math] , and the straight lines [math]x=0[/math] and [math]x=2[/math] with using GeoGebra.

[br]How did you implement your lesson plan? [br][br][color=#999999][i]First, I introduced the program Geogebra. After attracting their attention to the program, I got the students to do simple things via the program by giving a chance for everyone to involve into the process. [/i][/color][br][br][br]Do you think you could integrate technology ? [br][br][color=#999999][i]Yes, I can. [/i][br][/color][br]Do you think your students accomplished the outcomes of the lesson? [br][br][i][color=#b6b6b6]Yes.[/color][/i] [br][br]What do your students think about the course? [br][br][i][color=#b6b6b6]They said that the schemes in their mind expanded. [br][/color][/i][br][br][br][br]