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The use of GeoGebra at the exams in Norway

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

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The use of GeoGebra at the exams in Norway

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  1. The useof GeoGebra at theexams in Norway Arne Amdal Norwegian University of Science and Technology (NTNU) Trondheim, Norway

  2. This is thenewnewmodel: • The most theoreticalcourses in uppersecondary: • 3 hourswithpencil and paper • 2 hourswith all tools • specificrequirementsregardingwhichtools in certainexcercises • CAS and grapher

  3. The othercourses in uppersecondary, and alsolowersecondary : • 2hourswithpencil and paper • 3hourswith all tools • specificrequirementsregardingwhichtools in certainexcercises • spreadsheet and grapher

  4. CAS cantrivialize problems • CAS in time consuming problems • CAS in «impossible» problems

  5. 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.

  6. Therearethreetrees in theschoolyard. Theyare corners in a triangle. Petter measuresthedistancesbetweenthem to be 14,0m, 20,0m and 24,0m • Use CAS to determinethe area ofthetriangle • I usethelawofcosines to findthe angle oppositethe 24,0m-side. I usethetriangle area formula to findthe area. The area is 139,64

  7. The function The pointA has coordinates (0,0), thepointBis onthe x-axis, thepointC is onthegraphof and UseCAS to decidetheexactvalueof x suchthatthe area is as small as possible.What is the area for thisvalueof x?

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