Math

MATHL/PF/M12/N12/M13/N13

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MATHEMATICS

Higher Level

The portfolio - tasks

For use in 2012 and 2013

© International Baccalaureate Organization 2010 8 pages For final assessment in 2012 and 2013

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MATHL/PF/M12/N12/M13/N13

CONTENTS
Type I tasks Shadow functions Patterns from complex numbers Type II tasks The dice game Filling up the petrol tank

INTRODUCTION
What isthe purpose of this document?
This document contains new tasks for the portfolio in mathematics HL. These tasks have been produced by the IB, for teachers to use in the examination sessions in 2012 and 2013. It should be noted that any tasks previously produced and published by the IB will no longer be valid for assessment after the November 2010 examination session. These include all the tasksin any teacher support material (TSM), and the tasks in the document “Portfolio tasks 2009-2010”. The tasks in the document “Portfolio tasks 2011-2012” can be used in the 2012 examinations but NOT in 2013. Copies of all TSM tasks published by the IB are available on the Online Curriculum Centre (OCC), under Internal Assessment, in a document called “Old tasks published prior to 2008”. These tasksshould not be used, even in slightly modified form.

What happens if teachers use these old tasks?
The inclusion of these old tasks in the portfolio will make the portfolio non-compliant, and such portfolios will therefore attract a 10-mark penalty. Teachers may continue to use the old tasks as practice tasks, but they should not be included in the portfolio for final assessment.

What otherdocuments should I use?
All teachers should have copies of the mathematics HL subject guide (second edition, September 2006), including the teaching notes appendix, and the TSM (September 2005). Further information, including additional notes on applying the criteria, is available on the Online Curriculum Centre (OCC). Important news items are also available on the OCC, as are the diplomaprogramme coordinator notes, which contain updated information on a variety of issues.

Which tasks can I use in 2012?
The only tasks produced by the IB that may be submitted for assessment in 2012 are the ones contained in this document, and those in the document “Portfolio tasks 2011-2012”. There is no requirement to use tasks produced by the IB, and there is no date restriction on tasks written byteachers.

For final assessment in 2012 and 2013

–3– Can I use these tasks before May 2012?

MATHL/PF/M12/N12/M13/N13

These tasks should only be submitted for final assessment from May 2012 to November 2013. Students should not include them in portfolios before May 2012. If they are included, they will be subject to a 10-mark penalty. Please note that these dates refer to examinationsessions, not when the work is completed.

Which tasks can I use in 2013?
The only tasks produced by the IB that may be submitted for assessment in 2013 are the ones contained in this document.

Technology
There is a wide range of technological tools available to support mathematical work. These include graphic display calculators, Excel spreadsheets, Geogebra, Autograph, Geometer sketch padand Wolframalpha. Many are free downloads from the Internet. Students (and teachers) should be encouraged to explore which ones best support the tasks that are assigned. Teachers are reminded that good technology use should enhance the development of the task.

Extracts from diploma program coordinator notes
Important information is included in the DPCN, available on the OCC. Teachers shouldensure they are familiar with these, and in particular with the ones noted below. Please note that the reference to the 2009/2010 document is outdated.

Copies of tasks and marking/solution keys
Teachers are advised to write their own tasks to fit in with their own teaching plans, to select from the 2009/2010 document, or to use tasks written by other teachers. In each case, teachers should work...