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1、Top Education 青藜苑教育中心 TEL:010-62895997 IBDP-Math IBDP-MATH Nature of the subject The nature of mathematics can be summarized in a number of ways: for example, it can be seen as a well-defined body of knowledge, as an abstract system of ideas, or as a useful tool. For many people it is probably a com
2、bination of these, but there is no doubt that mathematical knowledge provides an important key to understanding the world in which we live. Mathematics can enter our lives in a number of ways: we buy produce in the market, consult a timetable, read a newspaper, time a process or estimate a length. M
3、athematics, for most of us, also extends into our chosen profession: artists need to learn about perspective; musicians need to appreciate the mathematical relationships within and between different rhythms; economists need to recognize trends in financial dealings; and engineers need to take accoun
4、t of stress patterns in physical materials. Scientists view mathematics as a language that is central to our understanding of events that occur in the natural world. Some people enjoy the challenges offered by the logical methods of mathematics and the adventure in reason that mathematical proof has
5、 to offer. Others appreciate mathematics as an aesthetic experience or even as a cornerstone of philosophy. This prevalence of mathematics in our lives provides a clear and sufficient rationale for making the study of this subject compulsory within the Diploma Programme. 科目性质简介 科目性质简介 数学的性质可以以多种方式来展
6、现：如，数学可以被看作是知识的完美阐释，是理想的具体表达，或是一 种有用的工具。对大多数人来说，数学是以上几种理解的组合，但毫无疑问的是数学知识对于我们认识所 处的世界提供了一个重要的途径。数学以各种方式进入了我们的生活：我们在市场上购买产品、查看时间 表、读报、测量一个时间过程或估算长度等等。对大多数人来说，数学也影响着我们所选择的职业：艺术 家需要学习角度；音乐学家需要理解不周音律之间的关系；经济学家需要在财政交易中识别趋势；工程师 需要考虑物理材料的应力模式。 Summary of courses available Because individual students have di
7、fferent needs, interests and abilities, there are four different courses in mathematics. In making this selection, individual students should be advised to take account of the following types of factor. Their own abilities in mathematics and the type of mathematics in which they can be successful Th
8、eir own interest in mathematics, and those particular areas of the subject that may hold the most interest for them Their other choices of subjects within the framework of the DP Their academic plans, in particular the subjects they wish to study in future Their choice of career 课程摘要 课程摘要 由于不同学生的需求、
9、兴趣和能力不同，数学共有四个课程类型供学生选择。在选择课程时，建议学生考 虑以下因素： 学生现有的数学能力以及在预选择课程中的成功率 学生的数学兴趣，以及能吸引学生继续学习的特殊领域 学生在IBDP中的其他科目选择 学生的学术规划，特别是未来所要学习的科目 职业选择方向 Mathematical studies SL This course is available at standard level (SL) only. It caters for students with varied backgrounds and abilities. More specifically, it is
10、 designed to build confidence and encourage an appreciation of mathematics in students who do not anticipate a need for mathematics in their future studies. Students taking this course need to be already Top Education 青藜苑教育中心 TEL:010-62895997 IBDP-Math equipped with fundamental skills and a rudiment
11、ary knowledge of basic processes. 数学研究普通课程 数学研究普通课程 数学研究只开设普通课程，它满足了学生多样化的背景和能力。此课程主要针对在今后不再学习数学的学 生，以建立这些学生在数学学习中的自信并激励学生提高对数学的理解。选择本课程的学生应具备基本的 数学能力。 Mathematics SL This course caters for students who already possess knowledge of basic mathematical concepts, and who are equipped with the skills ne
12、eded to apply simple mathematical techniques correctly. The majority of these students will expect to need a sound mathematical background as they prepare for future studies in subjects such as chemistry, economics, psychology and business administration. 数学普通课程 数学普通课程 本课程适合于已掌握基本数学概念并能够正确运用简单数学运算的学
13、生。这些学生中的大部分人今后多选 择化学、经济、心理学和商业科目，合适的数学背景将有助于未来学科的学习。 Content of mathematics SL The course consists of the study of seven topics. (Total 150 hrs) Syllabus content (140 hrs) Requirements All topics are compulsory. Students must study all the sub-topics in each of the topics in the syllabus as listed i
14、n this guide. Students are also required to be familiar with the topics listed as presumed knowledge (PK). Topic 1Algebra 8 hrs Topic 2Functions and equations 24 hrs Topic 3Circular functions and trigonometry 16 hrs Topic 4Matrices 10 hrs Topic 5Vectors 16 hrs Topic 6Statistics and probability 30 hr
15、s Topic 7Calculus 36 hrs Portfolio 10 hrs Two pieces of work, based on different areas of the syllabus, representing the following two types of tasks: mathematical investigation mathematical modelling. 数学普通课程内容 数学普通课程内容 本课程由7章内容组成（总课时为150小时） 大纲内容 (140 小时) 要求 要求 所有章节都为必修内容，学生必须学习大纲中所列示的章节内所有内容。学生也需要熟
16、悉假定知识内所列 示的内容。 第一章代数 8 小时 第二章函数与方程 24 小时 第三章三角函数 16 小时 第四章矩阵 10 小时 第五章矢量 16 小时 第六章统计与概率 30 小时 第七章微积分 36 小时 组合 10 小时 组合 10 小时 Top Education 青藜苑教育中心 TEL:010-62895997 IBDP-Math 基于大纲中的不同知识领域，完成两项作品，表现出以下两个任务类型: 数学调查 数学模型 Mathematics HL This course caters for students with a good background in mathematics who are competent in a range of analytical and technical skills. The majority of these students will be expecting to include mathematics as a major compone
