Mathematical studies SL guide

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1 Diploma Programme Mathematical studies SL guide First examinations 2014

2

3 Diploma Programme Mathematical studies SL guide First examinations 2014

4

5 IB mission statement IB learner profile International Baccalaureate Organization 2007

6

7 Contents Mathematical studies SL guide

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9 Introduction Purpose of this document Additional resources Acknowledgment Mathematical studies SL guide 1

10 Introduction The Diploma Programme The Diploma Programme hexagon Studies in language and literature Group 1 Language acquisition Group 2 THE IB LEARNER PROFILE theory of knowledge extended essay Group 3 Individuals and societies Experimental sciences Group 4 creativity, action, service Group 5 Mathematics Group 6 The arts Figure 1 2 Mathematical studies SL guide

11 The Diploma Programme Choosing the right combination The core of the hexagon The IB mission statement and the IB learner profile Mathematical studies SL guide 3

12 Introduction Nature of the subject Introduction Summary of courses available Mathematical studies SL 4 Mathematical studies SL guide

13 Nature of the subject Mathematics SL Mathematics HL Further mathematics HL Mathematical studies SL course details Mathematical studies SL guide 5

14 Nature of the subject Prior learning Links to the Middle Years Programme Mathematics and theory of knowledge 6 Mathematical studies SL guide

15 Nature of the subject Mathematics and the international dimension Mathematical studies SL guide 7

16 Introduction Aims Group 5 aims 8 Mathematical studies SL guide

17 Introduction Assessment objectives Mathematical studies SL guide 9

18 Syllabus Syllabus outline Syllabus component Teaching hours SL 10 Mathematical studies SL guide

19 Syllabus Approaches to the teaching and learning of mathematical studies SL Format of the syllabus Mathematical studies SL guide 11

20 Approaches to the teaching and learning of mathematical studies SL Course of study Integration of project work Time allocation Use of calculators 12 Mathematical studies SL guide

21 Approaches to the teaching and learning of mathematical studies SL Mathematical studies SL formula booklet Teacher support materials Command terms and notation list Mathematical studies SL guide 13

22 Syllabus Prior learning topics Content Further guidance 14 Mathematical studies SL guide

23 Prior learning topics Content Further guidance Mathematical studies SL guide 15

24 Syllabus 16 Mathematical studies SL guide Syllabus content Topic 1 Number and algebra Content Further guidance Links 20 hours

25 Mathematical studies SL guide 17 Content Further guidance Links Syllabus content

26 18 Content Further guidance Links Syllabus content Mathematical studies SL guide

27 Mathematical studies SL guide 19 Content Further guidance Links Syllabus content

28 20 Topic 2 Descriptive statistics Content Further guidance Links 12 hours Syllabus content Mathematical studies SL guide

29 Mathematical studies SL guide 21 Content Further guidance Links Syllabus content

30 22 Topic 3 Logic, sets and probability 20 hours Content Further guidance Links Syllabus content Mathematical studies SL guide

31 Mathematical studies SL guide 23 Content Further guidance Links Syllabus content

32 24 Topic 4 Statistical applications Content Further guidance Links 17 hours Syllabus content Mathematical studies SL guide

33 Mathematical studies SL guide 25 Content Further guidance Links Syllabus content

34 26 Content Further guidance Links Syllabus content Mathematical studies SL guide

35 Mathematical studies SL guide 27 Topic 5 Geometry and trigonometry 18 hours Content Further guidance Links Syllabus content

36 28 Content Further guidance Links Syllabus content Mathematical studies SL guide

37 Mathematical studies SL guide 29 Content Further guidance Links Syllabus content

38 30 Topic 6 Mathematical models 20 hours Content Further guidance Links Syllabus content Mathematical studies SL guide

39 Mathematical studies SL guide 31 Content Further guidance Links Syllabus content

40 32 Content Further guidance Links Syllabus content Mathematical studies SL guide

41 Mathematical studies SL guide 33 Topic 7 Introduction to differential calculus Content Further guidance Links 18 hours Syllabus content

42 34 Content Further guidance Links Syllabus content Mathematical studies SL guide

43 Assessment Assessment in the Diploma Programme General Methods of assessment Assessment criteria Mathematical studies SL guide 35

44 Assessment in the Diploma Programme Markbands Markschemes 36 Mathematical studies SL guide

45 Assessment Assessment outline Assessment component External assessment (3 hours) Paper 1 (1 hour 30 minutes) Paper 2 (1 hour 30 minutes) Internal assessment Weighting 80% 40% 40% 20% Project Mathematical studies SL guide 37

46 Assessment External assessment General External assessment details General information Paper 1 and paper 2 Calculators Mathematical studies SL formula booklet Awarding of marks Paper 1 38 Mathematical studies SL guide

47 External assessment Syllabus coverage Question type Paper 2 Syllabus coverage Question type Mathematical studies SL guide 39

48 Assessment Internal assessment Purpose of internal assessment Guidance and authenticity 40 Mathematical studies SL guide

49 Internal assessment Group work Time allocation Mathematical studies SL guide 41

50 Internal assessment Using assessment criteria for internal assessment Internal assessment details Project The purpose of the project 42 Mathematical studies SL guide

51 Internal assessment Introduction of the project Requirements and recommendations Mathematical studies SL guide 43

52 Internal assessment Internal assessment criteria 44 Mathematical studies SL guide

53 Internal assessment Criterion A: Introduction Achievement level Descriptor Criterion B: Information/measurement Achievement level Descriptor Mathematical studies SL guide 45

54 Internal assessment Achievement level Descriptor Criterion C: Mathematical processes Achievement level Descriptor 46 Mathematical studies SL guide

55 Internal assessment Achievement level Descriptor Criterion D: Interpretation of results Achievement level Descriptor Mathematical studies SL guide 47

56 Internal assessment Criterion E: Validity Achievement level Descriptor Criterion F: Structure and communication Achievement level Descriptor 48 Mathematical studies SL guide

57 Internal assessment Criterion G: Notation and terminology Achievement level Descriptor Mathematical studies SL guide 49

58 Appendices Glossary of command terms Command terms with definitions Calculate Comment Compare Construct Deduce Describe Determine Differentiate Draw Estimate Find Hence Hence or otherwise Interpret Justify Label List Plot Show 50 Mathematical studies SL guide

59 Glossary of command terms Show that Sketch Solve State Verify Write down Mathematical studies SL guide 51

60 Appendices Notation list 52 Mathematical studies SL guide

61 Notation list Mathematical studies SL guide 53

62 Notation list 54 Mathematical studies SL guide

Assessment Details Document Assessment Objectives: Demonstrate knowledge and understanding of specified content

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