都立国際高校 年間授業計画／Tokyo Metropolitan Kokusai High School Course Syllabus○ 科目基礎情報 ( Course information )令和6年度 ( 2024 年度 )開講年度
( Academic year )開講学科(Department)

国際学科国際バカロレアコース／IBDP(International Baccalaureate Diploma Programme)

教科(

Subject Area)

Mathematics

科目(Subject)Mathematics: analysis and approaches Higher Level

学年･クラス(Grade･Class)

DP2

単位数(Number of units)

6

使用教科書

(Text Books)

校外学習(Field trip)

Pearson Mathematics Analysis and Approaches for the IB Diploma Higher Level & Hodder
Mathematics: Analysis and Approaches HL Exam Practice Workbook-○ 教科の目標 ( Goals of the subject area )【 知 識 及 び 技 能 】 ( Knowledge and Skills )Understand the basic concepts, principles and laws in mathematics, as well as the skills to mathematically interpret and express events.
【思考力、判断力、表現力等】 ( Ability to think, make judgements, express themselves )Develop the ability to examine events logically using mathematics, to recognize the essence of events and their relationships with other eventsand to examine them in an integrated and developed manner, and to express events concisely, clearly, and precisely using mathematicalexpressions.
【学びに向かう力、人間性等】 ( Motivation to learn, Humanity )Develop an attitude to recognize the advantages of mathematics and actively utilize mathematics, an attitude to think tenaciously and makejudgments based on mathematical arguments, an attitude to reflect on the process of problem solving and to deepen consideration, evaluationand improvement, and a basis for creativity.

○ 科目の目標 ( Goals of the subject )【知識及び技能】( Knowledge and Skills )【思考力、判断力、表現力等】( Ability to think, make judgements, express themselves )Understand the basic concepts, principles andlaws in mathematics, as well as the skills tomathematically interpret and express events.

【学びに向かう力、人間性等】( Motivation to learn, Humanity )Develop the ability to examine events logically Develop an attitude to recognize theusing mathematics, to recognize the essence of advantages of mathematics and to make use of
events and their relationships with other events mathematics, an attitude to think tenaciously
and to examine them in an integrated andand to make judgments based on mathematicaldeveloped manner, and to express events
arguments, and an attitude to deepen
concisely, clearly, and precisely using
consideration, evaluation, and improvement bymathematical expressions.
looking back on the process of problem solving,as well as a basis for creativity.
Alottedhours○ 授業計画 ( Course schedule )単元の具体的な指導目標
Unit Objectives
Students will be able to・Review concepts that were part of
the DP1 curriculum
・find numerical solutions ofdifferential equations using Euler'smethod

指導項目・内容
Topic / Contents

・first-order differential equations
・Euler's method

・Separable and homogenous
equations・solve separable differential equations

１学期 ( 1st semester)・solve homogenous differentialequations

・Integrating Factors

・solve linear differential equations
including the use of integrating factors
・Maclaurin series
・Maclaurin series to obtain
expansions for e^x, sin x, cos x,ln(1+x), and (1+x)^n, where n is arational number.
・simple substitution, products,integration, and differentiation toobtain other series
・Maclaurin series developed fromdifferential equations

MOCK Examination

評価規準
Evaluation Criteria➊【Knowledge/Skills】
・Recall, select and use their knowledge ofmathematical facts, concepts and techniques
in a variety of familiar and unfamiliar contexts.
・Use technology accurately, appropriately andefficiently both to explore new ideas and tosolve problems.
❷【Ability to think/make judgements/express
themselves】
・Recall, select and use their knowledge ofmathematical skills, results and models in bothabstract and real-world contexts to solve
problems.
・Transform common realistic contexts into
mathematics; comment on the context; sketchor draw mathematical diagrams, graphs orconstructions both on paper and using
technology; record methods, solutions andconclusions using standardized notation; useappropriate notation and teminology.
・Construct mathematical arguments throughuse of precise statements, logical deduction
and interference and by the manipulation ofmathematical expressions.
・Investigate unfamiliar situations, both abstractand from the real world, involving organizing
and analyzing information, making conjectures,
drawing conclusions, and testing their validity.
❸【Attitude towards learning proactively】
・Be interested in mathematics, recognize theadvantages of mathematics, and try to apply
them to both abstract and real-world contexts
to solve problems.

知➊思❷態❸配当
時数○○○

79○○5単元の具体的な指導目標
Unit Objectives
Stundets will be able to２学期 ( 2nd semester)・refamiliarized themselves with thecontents of the IB mathematics:Analysis and Approaches syllabus.

指導項目・内容
Topic / Contents

評価規準
Evaluation Criteria➊【Knowledge/Skills】
・Recall, select and use their knowledge of・Review and practice for final exam mathematical facts, concepts and techniques
in a variety of familiar and unfamiliar contexts.
・Use technology accurately, appropriately andefficiently both to explore new ideas and tosolve problems.
❷【Ability to think/make judgements/express
themselves】
・Recall, select and use their knowledge ofmathematical skills, results and models in bothabstract and real-world contexts to solveproblems.
・Transform common realistic contexts into
mathematics; comment on the context; sketchor draw mathematical diagrams, graphs orconstructions both on paper and usingtechnology; record methods, solutions andconclusions using standardized notation; useappropriate notation and teminology.
・Construct mathematical arguments throughuse of precise statements, logical deduction
and interference and by the manipulation ofmathematical expressions.
・Investigate unfamiliar situations, both abstractand from the real world, involving organizing
and analyzing information, making conjectures,
drawing conclusions, and testing their validity.
❸【Attitude towards learning proactively】
・Be interested in mathematics, recognize theadvantages of mathematics, and try to apply
them to both abstract and real-world contexts
to solve problems.

Final Examination
Stundets will be able to３学期 ( 3rd semester)・refamiliarized themselves with thecontents of the IB mathematics:
Analysis and Approaches syllabus.

・Review➊【Knowledge/Skills】
・Recall, select and use their knowledge ofmathematical facts, concepts and techniques
in a variety of familiar and unfamiliar contexts.
・Use technology accurately, appropriately andefficiently both to explore new ideas and tosolve problems.
❷【Ability to think/make judgements/express
themselves】
・Recall, select and use their knowledge ofmathematical skills, results and models in bothabstract and real-world contexts to solve
problems.
・Transform common realistic contexts into
mathematics; comment on the context; sketchor draw mathematical diagrams, graphs orconstructions both on paper and using
technology; record methods, solutions andconclusions using standardized notation; useappropriate notation and teminology.
・Construct mathematical arguments throughuse of precise statements, logical deduction
and interference and by the manipulation ofmathematical expressions.
・Investigate unfamiliar situations, both abstractand from the real world, involving organizing
and analyzing information, making conjectures,
drawing conclusions, and testing their validity.
❸【Attitude towards learning proactively】
・Be interested in mathematics, recognize theadvantages of mathematics, and try to apply
them to both abstract and real-world contexts
to solve problems.

知➊思❷

態❸

配当
時数

○

○

○

91

○

○

○

○

5○

48

総授業時数
Total hours

228