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 )(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

開講学科科目(Subject)Mathematics: analysis and approaches Standard Level

学年･クラス(Grade･Class)

DP1

単位数(Number of units)

4

使用教科書

(Text Books)

Mathematics Analysis and Approaches Standard Level OXFORD UNIVERSITY PRESS

校外学習(Field trip)-○ 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】【学びに向かう力、人間性等】( Motivation to learn, Humanity )( 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.

Develop the ability to examine events logicallyusing mathematics, to recognize the essence ofevents and their relationships with other eventsand to examine them in an integrated anddeveloped manner, and to express events
concisely, clearly, and precisely using
mathematical expressions.

Develop an attitude to recognize theadvantages of mathematics and to make use ofmathematics, an attitude to think tenaciously
and to make judgments based on mathematicalarguments, and an attitude to deepen
consideration, evaluation, and improvement bylooking 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・apply the binomial theorem

１学期 ( 1st semester)・use the formulae for the nth term
and the sum of the first n terms ofan arithmetic/geometric sequence・apply arithmetic sequences andseries to model situations
・apply geometric sequences andseries to financial applications
・work with infinite, convergent
geometric sequences and series
・work with exponents andlogarithms
・change the base of a logarithm
・solve equations using logarithms
・find arc length and area of a sector
・solve trigonometric equations in afinite interval・prove trigonometric identities
・model practical situations withtrigonometric equations
・sketch any given function using acalculator in degree or radian mode.

定期考査
Examination

指導項目・内容
Topic / Contents
・The Binomial Seorem
・Number Sequences
・Exponential Functions
・Logarithms
・The Unit Circle and RadianMeasure
・Trigonometric Functions
・Trigonometric Eqauations andIdentities

評価規準
Evaluation Criteria知➊思❷態❸配当時数➊【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 inboth abstract 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, bothabstract and from the real world, involvingorganizing 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.

○○

○

60

○

○

2

単元の具体的な指導目標
Unit Objectives
Stundets will be able to

指導項目・内容
Topic / Contents
・Introduction to Differential
Calculus・differentiate composite
・Rules of Differentiation
expressions of basic functions
・Properties of Curves
・find and classify stationary points ・Applications of Differentiation
・decide where a graph is・Introduction to Integration
increasing/decreasing
・Techniques for Integration
・find and classify points of inflexion ・Definite Integrals
・find tangents and normals
・Kinematics
・solve opitimization problems

２学期 ( 2nd semester)・find indefinite and definite integrals
・find areas under curves
・find areas between curves
・find displacement, velocity andacceleration using differentiationand integration.

・Internal Assesment (IA)
定期考査
Examination

評価規準
Evaluation Criteria

知➊

思❷

態
❸

配当
時数

➊【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 inboth abstract 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 deductionand interference and by the manipulation ofmathematical expressions.
・Investigate unfamiliar situations, bothabstract and from the real world, involvingorganizing 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.

○○

○

54

〇

〇

〇

6○

○

2

単元の具体的な指導目標
Unit Objectives
Stundets will be able to・calculate measures of central
tendency
・calculate measures of dispersion
・draw box-and-whisker plots
・use comulative frequency graphs

指導項目・内容
Topic / Contents
・Bivariate Statistics
・Discrete Random Variables
・The Normal Distribution

３学期 ( 3rd semester)・draw scatter diagrams
・calculate Pearson's productmoment correlation coefficient・calculate regression lines
・make predictions from a
regression line
・find probabilities of combinedevents
・work with discrete probability
distributions, including the binomial
distribution
・work with continuous probability
distributions, including the normaldistribution・find conditional probabilities.

・Internal Assesment (IA)
定期考査
Examination

評価規準
Evaluation Criteria

知➊

思❷

態❸

配当時数

➊【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 inboth abstract and real-world contexts to solve
problems.
・Transform common realistic contexts intomathematics; 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, bothabstract and from the real world, involvingorganizing 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.

○

○

○

26

〇

〇

〇

4○

○

2

総授業時数
Total hours

156