GSIS IB Mathematics Student Companion Student Companion ...

1 GSIS IB MathematicsGSIS IB MathematicsGSIS IB MathematicsGSIS IB Mathematics Student CompanionStudent CompanionStudent CompanionStudent Companion Mathematics SMathematics SMathematics SMathematics SLLLL Contents: 1 Course Introduction 2 Maths Learner Profile 3 Syllabus Outline 4 Assessment Schedule 5 Grade Boundaries 6 Exploration Suggestions 7 Exploration Criteria 8 Extended Essay suggestions 9 Autograph Download Instructions 10 Books for Further Reading 11 Suggested Websites 12 Command Terms and Notation 13 SL formula booklet for use in exams and tests NAME_____ 1 2IB StandardIB StandardIB StandardIB Standard Level MathsLevel MathsLevel MathsLevel Maths Welcome to StandardStandardStandardStandard level Mathslevel Mathslevel Mathslevel Maths, your Group 5 choice for the IB Diploma. Standard level Maths is a challenging subject which contains all the Maths you might need in other courses such as Physics, Chemistry or Economics.

2 We ask only for success at IGCSE Mathematics and an open mindopen mindopen mindopen mind. If you have studied Mathematics beyond IGCSE you may find you have a head start in this course and might even consider a change to HL Maths. If you found IGCSE Mathematics difficult, you might be more suited to Mathematical Studies SL. If you think you may need to change, you need to discuss this with your Maths teacher and the school IB Coordinator as soon as possible it may well be possible to change but there could be a problem, particularly if not done early in the course. We do hope you will succeed with this excellent course. The IB Learner ProfileIB Learner ProfileIB Learner ProfileIB Learner Profile requires you to be an independent learner; you need to take responsibility for your own learning, but this can be difficult at first and your teacher is here to help. The coursecoursecoursecourse will start by very quickly going over some of the basics you should have learnt at IGCSE before soon moving on to new material (see syllabus outlinesyllabus outlinesyllabus outlinesyllabus outline).

3 More details are on the LEO SL Maths page. LEO SL Maths page. LEO SL Maths page. LEO SL Maths page. We plan to have teststeststeststests fairly regularly, perhaps after every two topics. For these you will be expected to have a GDCGDCGDCGDC (Graphic Display Calculator) the school recommended model is the Casio fx CG20 Casio fx CG20 Casio fx CG20 Casio fx CG20 available from the school shop, but other GDCs are acceptable provided they cannot do algebra. If in doubt consult your teacher. For the tests, you will also need the IB formula booklet IB formula booklet IB formula booklet IB formula booklet which is included in this guide so be sure to bring this guide be sure to bring this guide be sure to bring this guide be sure to bring this guide with you for testswith you for testswith you for testswith you for The course text book is Mathematics StandardMathematics StandardMathematics StandardMathematics Standard Level (Oxford UnivLevel (Oxford UnivLevel (Oxford UnivLevel (Oxford Univerererersity Press, ISBN 978 019 sity Press, ISBN 978 019 sity Press, ISBN 978 019 sity Press, ISBN 978 019 839011 4839011 4839011 4839011 4)))) which will be needed throughout the course.

4 You will also sit school examsschool examsschool examsschool exams during the course, probably in May of year 12 and a full mock exam probably in February of year 13. See the SSSSL assessment scheduleL assessment scheduleL assessment scheduleL assessment schedule for the exam format which will be reflected in the school exams to some degree. Notice that the assessment scheduleassessment scheduleassessment scheduleassessment schedule includes an explorationexplorationexplorationexplora tion which is your Maths IA (Internal Assessment = coursework) worth 20% of your final grade. This will probably be done during the first half term of year 13, but the idea of an exploration will be introduced early in the course. The hope is that some area of Mathematics or some application, not necessarily introduced in the course, will inspire you to want to explore further use the pages in this guide to jot down and consider any ideas that come to you during the course. You are, of course, free to choose to do an EEEEEEEE (Extended Essay(Extended Essay(Extended Essay(Extended Essay)))) in any of your 6 subjects, but we hope you might consider doing one in Maths.

5 You will find some suggested titles in here as well as some suggestions for Maths further readingMaths further readingMaths further readingMaths further 3 4 GERMAN SWISS INTERNATIONAL SCHOOLGERMAN SWISS INTERNATIONAL SCHOOLGERMAN SWISS INTERNATIONAL SCHOOLGERMAN SWISS INTERNATIONAL SCHOOL Mathematics DEPARTMENTMATHEMATICS DEPARTMENTMATHEMATICS DEPARTMENTMATHEMATICS DEPARTMENT The Learner ProfileThe Learner ProfileThe Learner ProfileThe Learner Profile fffforororor The International Baccalaureate The International Baccalaureate The International Baccalaureate The International Baccalaureate DiplomaDiplomaDiplomaDiploma PREAMBLEPREAMBLEPREAMBLEPREAMBLE The International Baccalaureate Organization Mission Statement aims to develop inquiring, knowledgeable and caring young people who help to create a better and more peaceful world through intercultural understanding and respect. It encourages students across the world to become active, compassionate and lifelong learners who understand that other people, with their differences, can also be right.

6 The Learner Profile is not a list, it is not another poster to make rooms look interesting and it is not a set of rules. It is a whole school vision and our value system. As such it is something every member of the school community should aspire to, it should be found at every turn in the school and is embedded in all our teaching and learning. FEATURES of the LEARNER PROFILEFEATURES of the LEARNER PROFILEFEATURES of the LEARNER PROFILEFEATURES of the LEARNER PROFILE IBIBIBIB learners strive to be:learners strive to be:learners strive to be:learners strive to be: InquirersInquirersInquirersInquirers At GSIS their natural curiosity is nurtured. They acquire the skills necessary to conduct purposeful, constructive research and become independent active learners. They actively enjoy learning and this love of learning will be sustained throughout their lives. How this happens Mathematically Inquirers look for patterns which some often say define the discipline of Mathematics .

7 They write proofs to illuminate these patterns. Inquirers discover relationships to deepen their understanding and ownership of the ideas and concepts being studied. Critical thinkersCritical thinkersCritical thinkersCritical thinkers They exercise initiative in applying thinking skills critically and creatively to make sound decisions and approach complex problems. How this happens Mathematically Higher Mathematics involves solving complex, multi-step problems. students are required to think critically in order to evaluate their solutions and problem solving approaches. 5 CommunicatorsCommunicatorsCommunicatorsC ommunicators They understand and express ideas and information confidently in more than one language and in a variety of literacies. How this happens Mathematically Our students are encouraged to use appropriate mathematical language because Mathematics has its own language. Mathematics is one area where the globalness that the IB Diploma seeks in its students can be found.

8 Communicating in this language requires an understanding of its set of rules, symbols, notation, syntax etc. Mathematics has multiple modes of communication (graphical, algebraic and symbolic among others) that need to be mutually reinforcing and consistent. They communicate by sharing mathematical ideas, methods and conclusions; they do this orally, at the whiteboard and through presentations. RiskRiskRiskRisk----takerstakerstakersta kers They approach unfamiliar situations confidently and have the independence of spirit to explore new roles, ideas and strategies. They are courageous and articulate in defending the things in which they believe or believe to be true. How this happens Mathematically Risk takers are encouraged to contribute to class discussion despite the possibility of being incorrect. Risk takers attack unfamiliar problems because they have instant feedback when they can solve them and hence reinforce their self values. KnowledgeableKnowledgeableKnowledgeableK nowledgeable They explore concepts, ideas and issues which have global relevance and importance.

9 In doing so, they acquire, and are able to make use of, a significant body of knowledge across a range of disciplines. How this happens Mathematically Mathematics is a global and multi-disciplinary language. Science and other disciplines express themselves through Mathematics . Our understanding of Mathematics continues to evolve and deepen as our ability to explore ideas of greater complexity continues to develop. PrincipledPrincipledPrincipledPrincipled They have a sound grasp of the principles of moral reasoning. They have integrity, honesty, a sense of fairness and justice and respect for the dignity of the individual. 6 How this happens Mathematically students are expected to take responsibility for their own work and problem solving. Mathematics can be very unforgiving if a Student tries to pretend to work at or understand the subject, their lack of knowledge will be found out by independent assessment. We expect students to have self-respect for the work they do and to care about what they do and what it means to others.

10 CaringCaringCaringCaring They show empathy and compassion towards the needs and feelings of others. They have a personal commitment to action and service to enhance the human condition, and respect for the environment. How this happens Mathematically Better students learn better by teaching peers and owning their peers progress. Attaching real world emotions and morals to Mathematics problems by relating the mathematical concept to problems that have real human impact increases a Student s appreciation for the role that Mathematics can play in improving the world in which they live. OpenOpenOpenOpen----mindedmindedmindedmi nded Through an understanding and appreciation of their own culture, they are open to the perspectives, values and traditions of other individuals and cultures and are accustomed to seeking and considering a range of points of view. How this happens Mathematically students explore and discover multiple methods of solving problems. students understand that there are different perspectives that can be equally effective in visualizing, setting up, or solving problems.