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)

DP1

単位数(Number of units)

6

使用教科書

(Text Books)

Pearson Analysis and Approaches Higher Level for the IB Diploma

校外学習(Field trip)-○ 教科の目標 ( Goals of the subject area )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.

【知【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 )Understand the basic concepts, principles andlaws in mathematics, as well as the skills tomathematically interpret and express events.

【思考力、判断力、表現力等】( Ability to think, make judgements, express themselves )【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 the advantages
using mathematics, to recognize the essence of mathematics and to make use ofof events and their relationships with othermathematics, an attitude to think tenaciously
events and to examine them in an integrated and to make judgments based on mathematicaland developed manner, and to express
arguments, and an attitude to deepen
events 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

指導項目・内容
Topic / Contents

評価規準
Evaluation Criteria知➊思❷

態❸

配当
時数

○○

○

84

１学期 ( 1st semester)Students will be able to➊【Knowledge/Skills】
・Recall, select and use their knowledge of・learn about functions and their ・Functions and Graphsmathematical facts, concepts and techniquesgraphs.They will learn composite,
in a variety of familiar and unfamiliar
inverse, rational, polynomial
・Exponentials and Logarithms contexts.
functions. They will use hand and・Use technology accurately, appropriately
GDC to plot the graphs.
and efficiently both to explore new ideas and・The Proofs
to solve problems.
・learn exponentials and❷【Ability to think/make judgements/express
logarithms and how to solve
themselves】
problems with both・Sequences and Series
・Recall, select and use their knowledge ofmathematical skills, results and models in・learn the types of proof and will ・Trigonometric Functions
both abstract and real-world contexts topractice proving statements
solve problems.
・Transform common realistic contexts into・learn sequences and series,mathematics; comment on the context;
binomial theorem and solve
sketch or draw mathematical diagrams,
problems involving sequencesgraphs or constructions both on paper andusing technology; record methods, solutions
・learn trigonometric functions
and conclusions using standardized notation;and identities, trigonomtericuse appropriate notation and teminology.
graphs and equations.
・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, andtesting 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.

単元の具体的な指導目標
Unit Objectives

指導項目・内容
Topic / Contents

Students will be able to・Complex Numbers

・learn about complex numbers
and how to operate with them・Differential Calculus

・learn differentiation and・Integral Calculus
integration rules and practicedifferentiation and integration withdifferent functions
・Differential equations

２学期 ( 2nd semester)・learn how to solve differential
equations and how to aproximate
solutions by Euler's method.

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
and efficiently both to explore new ideas andto solve problems.
❷【Ability to think/make judgements/expressthemselves】
・Recall, select and use their knowledge ofmathematical skills, results and models inboth abstract and real-world contexts tosolve problems.
・Transform common realistic contexts into
mathematics; comment on the context;
sketch or draw mathematical diagrams,
graphs or constructions both on paper andusing technology; record methods, solutions
and conclusions using standardized notation;
use appropriate 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, andtesting 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
Students will be able to・learn basic probability andstatistics and solve problems byhand and GDC・learn binomial and normal
distributions and practice solving
related problems

３学期 ( 3rd semester)・review the year contents

・Basic Probability andStatistics
・Probability Distributions

・The Year 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
and efficiently both to explore new ideas andto solve 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 tosolve problems.
・Transform common realistic contexts into
mathematics; comment on the context;
sketch or draw mathematical diagrams,
graphs or constructions both on paper andusing technology; record methods, solutions
and conclusions using standardized notation;
use appropriate 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, andtesting 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

○○

○

○

○

96

○

○

○

○

○

54

総授業時数
Total hours

234