Math数学课程
数学课程是体系内的数学高阶课程，需要GCSE或MYP数学为基础。数学SL和数学HL需要学习共同的核心课程部分，但是HL会在每一个核心课程的对应章节中学习更多知识，同时对知识的考核也更具深度。此外数学HL还要选修一部分大学水平的选修课，IBO组织一共提供了四门选修课，分别为统计学、微积分、图论与数论和群论。由于中国学生的数学能力普遍较强，大多数学生会选择数学HL课程。
Math SL/HL数学SL/HL课本
| CAMBRIDGE 出版社 |
Mathematical Studies SL Meyrick&Dwamena, 2013  |
IB Mathematics SL Fannon, Kadelburg, Woolley & Ward, 2012  |
Math SL Exam Preparation Guide Fannon, Kadelburg, Woolley&Ward,2012  |
IB Mathematics HL Fannon, Kadelburg, Woolley and Ward 2012  |
| IB Mathematics HL OPTION 7 Statistics&Probability Fannon, Kadelburg, Woolley&Ward,2012  |
IB Mathematics HL OPTION 8 Sets,Relations&Groups Fannon, Kadelburg, Woolley&Ward,2012  |
IB Mathematics HL OPTION 9 Calculus Fannon, Kadelburg, Woolley&Ward,2012  |
IB Mathematics HL OPTION 10 Discrete Math Fannon, Kadelburg, Woolley&Ward,2012  |
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| Mathematics HL Solutions Manual Fannon, Kadelburg, Woolley&Ward,2016  |
Math HL Calculator Instructions – Casio Fannon, Kadelburg, Woolley&Ward,2012  |
Math HL Calculator Instructions – Texas Fannon, Kadelburg, Woolley&Ward,2012  |
Math HL Calculator Skills – Casio Fannon, Kadelburg, Woolley&Ward,2012  |
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| Math HL Calculator Skills – Texas Fannon, Kadelburg, Woolley&Ward,2012  |
Math HL Extension Worksheet Fannon, Kadelburg, Woolley&Ward,2012  |
Math HL Fill-in Proof Fannon, Kadelburg, Woolley&Ward,2012  |
Math HL Fill-in Proof Answers Fannon, Kadelburg, Woolley&Ward,2012  |
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| Math HL Glossary Fannon, Kadelburg, Woolley&Ward, 2012  |
Math HL Prior Knowledge Fannon, Kadelburg, Woolley&Ward, 2012  |
Math HL Self- Discovery Worksheet Fannon, Kadelburg, Woolley&Ward, 2012  |
Math HL Supplementary Worksheet Fannon, Kadelburg, Woolley&Ward, 2012  |
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| Haese& Harris 出版社 |
IB Mathematics Mathematics SL Owen,Haese, &Bruce,1st Edition, 2004  |
IB Mathematics Mathematics SL Maenpaa,Owen, Haese&Humphries, 2nd Edition,2009  |
IB Mathematics Mathematics SL Maenpaa,Haese &Humphries, 3rd Edition,2012  |
IB Math SL Worked Solutions Dixon&Haese 1st Edition 2005  |
| IB Math SL Worked Solutions Dixon,Foley, Haese&Humphries 3rd Edition,2012  |
IB Math SL Math Studies Coad,Whiffen,Haese, Owen&Brunce, 1st Edition,2004  |
IB Math SL Math Studies Coad,Whiffen,Foley, Maenpaa&Haese, 2nd Edition,2010  |
IB Math SL Math Studies Coad,Whiffen,Haese, &Humphries, 3rd Edition,2012  |
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| IB Math SL(MYP5) Pre-Diploma Studies Black,Vollmar Haese&Humphries 1st Edition, 2008  |
IB Math SL&HL Pre-Diploma Studies (MYP 5 Plus) Keep,Vollmar,Haese Humphries&Sangwin 2nd Edition,2008  |
IB Math HL Core Urban,Owen,Martin Haese&Bruce 1st Edition, 2004  |
IB Math HL Core Urban,Martin,Haese &Humphries 2nd Edition, 2008  |
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| IB Math HL Core Martin, Haese &Humphries 3rd Edition, 2012  |
IB Math HL Core Worked Solutions Dixon,Frost &Haese 1st Edition, 2005  |
IB Math HL Core Exam Preparation &Practice Guide Haese&Martin 3rd Edition, 2013  |
IB Math HL Options Blythe,Joseph,Urban Martin&Haese 1st Edition, 2005  |
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| IB Math HL Option Calculus Quinn,Sangwin &Haese 1st Edition, 2013  |
IB Math HL Option Discrete Math Quinn,Blythe Sangwin&Haese 1st Edition, 2014  |
IB Math HL Option Statistics & Probability Quinn,Blythe &Haese 1st Edition,2014  |
IB Mathematics 6 MYP 1 Vollmar,Haese &Humphries 1st Edition, 2008  |
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| IB Mathematics 7 MYP 2 Vollmar,Haese &Humphries 1st Edition,2008  |
IB Mathematics 8 MYP 3 Vollmar,Haese &Humphries 1st Edition,2008  |
IB Mathematics 9 MYP 4 Vollmar,Haese &Humphries 1st Edition,2008  |
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| OXFORD 出版社 |
IB Math SL Course Companion Buchanan,Kemp, Fenson,Rondie &Stevens,2012  |
IB Math SL Spanish Course Companion Buchanan,Kemp, Fenson,Rondie &Stevens,2015  |
IB Math SL Answers Buchanan,Kemp, Fenson,Rondie &Stevens,2012  |
IB Math SL Math Studies Blythe,Fenson Forrest&Tokman 2012  |
| IB Math SL Spanish Math Studies Blythe,Fenson Forrest&Tokman 2012  |
IB Math Studies SL Answers Blythe,Fenson Forrest&Tokman 2012  |
IB Math HL Course Companion Bill Roberts& Sandy Mackenzie, 2007  |
IB Math HL Course Companion Harcet,Heinriches Seiler&Skoumal, 2012  |
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| IB Math HL Answers Harcet,Heinriches Seiler&Skoumal, 2012  |
IB Math HL Calculus Harcet,Heinriches Seiler&Skoumal, 2014  |
IB Math HL Calculus Answes Harcet,Heinriches Seiler&Skoumal, 2014  |
IB Math HL Statistics Harcet,Heinriches Seiler&Skoumal, 2014  |
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| IB Math HL Statistics Answers Harcet,Heinriches Seiler&Skoumal, 2014  |
IB Math HL Discrete Math Harcet,Heinriches Seiler&Skoumal, 2014  |
IB Math HL-Sets, Relations&Groups Harcet,Heinriches Seiler&Skoumal, 2014  |
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| PEARSON 出版社 |
IB Mathematics Mathematics SL Ibrahim Wazir &Tim Garry 2012  |
IB Mathematics Mathematics HL Ibrahim Wazir &Tim Garry 2012  |
IB Mathematics Studies SL Brown,Carrell &wees, 2nd Edition,2013  |
International Math Middle Years 1 McSeveny,Conway, Wilkes&Smith 2007  |
| International Math Middle Years 2 McSeveny,Conway, Wilkes&Smith 2008  |
International Math Middle Years 3 McSeveny,Conway, Wilkes&Smith 2007  |
International Math Middle Years 4 McSeveny,Conway, Wilkes&Smith 2007  |
International Math Middle Years 5 McSeveny,Conway, Wilkes&Smith 2007  |
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| IBID 出版社 |
IB Math SL Fabio Cirrito &Patrick Tobin, 3rd Edition,2004  |
IB Math HL Fabio Cirrito, Buckle&Dunbar, 3rd Edition,2004  |
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| HODDER 出版社 |
IB Math Studies Ric Pimentel &Terry Wall, 2010  |
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| OSC REVISION GUIDES 出版社 |
IB Math HL Option Statistics&Probability Peter Gray, 2nd Edition  |
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| TAXES INSTRUMENTS 出版社 |
IB Math Exam Preparation for Calculator Papers Andy Kemp, 2010  |
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IB Math SL/HL数学SL/HL真题
| 2018 IB Math SL/HL选择题 简答题 | 2017 IB Math SL/HL选择题 简答题 |
| 2016 IB Math SL/HL选择题 简答题 | 2015 IB Math SL/HL选择题 简答题 |
| 2014 IB Math SL/HL选择题 简答题 | 2013 IB Math SL/HL选择题 简答题 |
| 2012 IB Math SL/HL选择题 简答题 | 2011 IB Math SL/HL选择题 简答题 |
| 2010 IB Math SL/HL选择题 简答题 | 2009 IB Math SL/HL选择题 简答题 |
| 2008 IB Math SL/HL选择题 简答题 | 1968-1998 IB Math SL/HL选择题 简答题 |
IB Math数学 EE Sample
翰林学院IB Math SL/HL 数学SL/HL辅导大纲
| Topic | Subtopics | Hours* | Homework |
| Algebra | Sequences | ||
| Arithmetic sequence | |||
| Geometric sequence | |||
| Sigma notation | |||
| The fundamental theorem of algebra and complex roots | |||
| Exponents and logarithms | |||
| Laws of exponents | |||
| Fractional exponents | |||
| Laws of logarithms | |||
| Binomial expansion | |||
| Induction | |||
| Complex numbers | |||
| Functions | Types of functions | ||
| Linear functions | |||
| Quadratic functions | |||
| Functions with asymptotes | |||
| Describing functions | |||
| Rearranging functions | |||
| Inverse functions, f-1(x) | |||
| Composite functions | |||
| Transforming functions | |||
| Polynomial long division | |||
| The factor and remainder theorem | |||
| Vectors | Working with vectors | ||
| Vectors with value | |||
| Equations of lines | |||
| Dot (scalar) product | |||
| Cross (vector) product | |||
| Equation of a plane | |||
| Line and plane | |||
| Plane and plane | |||
| Normal vector | |||
| Trigonometry and circular functions | Basic trigonometry | ||
| Converting between radians and degrees | |||
| Circle formulas | |||
| Right-angle triangles | |||
| Non-right angle triangles | |||
| Three-figure bearings | |||
| Circular functions | |||
| Unit circle | |||
| Graphs: trigonometric functions | |||
| Transformations | |||
| Identities and equations | |||
| Inverse and reciprocal trigonometric functions | |||
| Differentiation | Derivation from first principles | ||
| Polynomials | |||
| Rules | |||
| Implicit differentiation | |||
| Tangent and normal equation | |||
| Turning points | |||
| Sketching graphs | |||
| Applications | |||
| Kinematics | |||
| Optimization | |||
| Implicit differentiation | |||
| Integration | Indefinite integral and boundary condition | ||
| Integration with an internal function | |||
| Integration by substitution | |||
| Definite integral | |||
| Area | |||
| Volume of revolution | |||
| Integration by parts | |||
| Probability | Single events (Venn diagrams) | ||
| Multiple events (tree Diagrams) | |||
| Distributions | |||
| Distribution by function | |||
| Binomial distribution | |||
| Normal distribution | |||
| Poisson distribution | |||
| Bayes theorem | |||
| Statistics | Descriptive statistics | ||
| Statistical graphs | |||
| Bi-variate analysis | |||
| Total |
*选修(Option)部分内容暂未列出，需依学员具体选课情况而定。
*计划课时仅供参考，实际用时依不同学员具体情况会有调整。
*翰林学院原创内容，谢绝转载。商务合作请联系小助手linstitute6。
IB题库/课本资料/课程辅导咨询
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国际课程+国际竞赛更具竞争力
AMC10
每年2月
难 度：
含金量：
American Mathematical Competition 10，10年级及以下学生参加，前2.5%可以晋级AIME
AMC12
每年2月
难 度：
含金量：
American Mathematical Competition 12，适合12年级及以下学生参加，全球前5%可以晋级AIME
AIME
每年3月
难 度：
含金量：
American Invitational Mathematics Examination, AMC10和AMC12优胜者参加的数学邀请赛
HiMCM
每年10月27日开赛
难 度：
含金量：
High School Mathematical Contest in Modeling，美国高中生数模竞赛，历史悠久，每年超千支队伍，Outstanding特等奖不足1%
Euclid数学竞赛
每年4月12日
难 度：
含金量：
Euclid Mathematics Contest,滑铁卢大学欧几里德数学竞赛，参赛对象12年级学生
丘成桐数学奖
每年9月-12月
难 度：
含金量：
Yau Science Awards (Mathematics),每年一届，研究报告的形式参赛。旨在发现有前途的全球华人年轻科学天才。
