Mathematics HL - May 2002 - P2 \$

# Mathematics HL - May 2002 - P2 \$ - INTERNATIONAL...

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MARKSCHEME May 2002 MATHEMATICS Higher Level Paper 2 25 pages M02/510/H(2)M+ INTERNATIONAL BACCALAUREATE BACCALAUR°AT INTERNATIONAL BACHILLERATO INTERNACIONAL c

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Paper 2 Markscheme Instructions to Examiners 1 Method of marking (a) All marking must be done using a red pen. (b) Marks should be noted on candidates± scripts as in the markscheme: ! show the breakdown of individual marks using the abbreviations (M1) , (A2) etc . ! write down each part mark total, indicated on the markscheme (for example, [3 marks] ) ² it is suggested that this be written at the end of each part, and underlined; ! write down and circle the total for each question at the end of the question. 2 Abbreviations The markscheme may make use of the following abbreviations: M Marks awarded for Method A Marks awarded for an Answer or for Accuracy G Marks awarded for correct solutions, generally obtained from a Graphic Display Calculator , irrespective of working shown C Marks awarded for Correct statements R Marks awarded for clear Reasoning AG Answer Given in the question and consequently marks are not awarded 3 Follow Through (ft) Marks Questions in this paper were constructed to enable a candidate to: " show, step by step, what he or she knows and is able to do; " use an answer obtained in one part of a question to obtain answers in the later parts of a question. Thus errors made at any step of the solution can affect all working that follows. Furthermore, errors made early in the solution can affect more steps or parts of the solution than similar errors made later. To limit the severity of the penalty for errors made at any step of a solution, follow through (ft) marks should be awarded. The procedures for awarding these marks require that all examiners: (i) penalise an error when it first occurs ; (ii) accept the incorrect answer as the appropriate value or quantity to be used in all subsequent parts of the question; ² 3 ² M02/510/H(2)M+
(iii) award M marks for a correct method, and A (ft) marks if the subsequent working contains no further errors. Follow through procedures may be applied repeatedly throughout the same problem. The errors made by a candidate may be: arithmetical errors; errors in algebraic manipulation; errors in geometrical representation; use of an incorrect formula; errors in conceptual understanding. The following illustrates a use of the follow through procedure: 8 M1 ³ A0 8 M1 8 A1 (ft) Amount earned = \$ 600 ³ 1.02 = \$602 Amount = 301 ³ 1.02 + 301 ³ 1.04 = \$ 620.06 \$ 600 ³ 1.02 M1 = \$ 612 A1 \$ (306 ³ 1.02) + (306 ³ 1.04) M1 = \$ 630.36 A1 Marking Candidate±s Script Markscheme Note that the candidate made an arithmetical error at line 2; the candidate used a correct method at lines 3, 4; the candidate±s working at lines 3, 4 is correct. However, if a question is transformed by an error into a different, much simpler question then: (i) fewer marks should be awarded at the discretion of the Examiner; (ii) marks awarded should be followed by ´ (d) ± (to indicate that these marks have been awarded at the discretion of the Examiner); (iii) a brief note should be written on the script explaining how these marks have been awarded.

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