The use of GeoGebra at the exams in Norway Arne Amdal Norwegian University of Science and Technology...
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Transcript of The use of GeoGebra at the exams in Norway Arne Amdal Norwegian University of Science and Technology...
The use of GeoGebra at the exams in Norway
Arne Amdal Norwegian University of Science and
Technology (NTNU)Trondheim, Norway
• This is the new new model: • The most theoretical courses in upper secondary:– 3 hours with pencil and paper– 2 hours with all tools
• specific requirements regarding which tools in certain excercises
• CAS and grapher
The other courses in upper secondary, and also lower secondary :– 2 hours with pencil and paper– 3 hours with all tools • specific requirements regarding which tools in certain
excercises• spreadsheet and grapher
• CAS can trivialize problems• CAS in time consuming problems• CAS in «impossible» problems
b) Jeg skrev likningene inn i CAS-delen i GeoGebra.Jeg markerte dem og klikket på x=Trekanten har lengder 15/2, 10 og 25/2.
• There are three trees in the schoolyard. They are corners in a triangle. Petter measures the distances between them to be 14,0m, 20,0m and 24,0m
• Use CAS to determine the area of the triangle
• I use the law of cosines to find the angle opposite the 24,0m-side. I use the triangle area formula to find the area. The area is 139,64
The function
The point A has coordinates (0,0), the point B is on the x-axis, the point C is on the graph of and Use CAS to decide the exact value of x such that the area is as small as possible.What is the area for this value of x?
2
10( ) 5 , 0f x x
x
90B