カリキュラム対応表
日本の単元と米国の科目の単元を並べています(広い画面では左右、スマホでは上下)。単元を押すと、対応する相手側の科目と、その単元の用語(日本語と英語)の一覧が出ます。
日本
中1
中2
中3
数学I
数学A
数学II
数学B
数学III
数学C
米国
Traditional
Pre-Algebra
- Data and probability 45 語
- Expressions and equations 51 語
- Geometry basics and measurement 82 語
- Integers and signed numbers 41 語
- Fractions, decimals, and rational numbers 19 語
- Ratios, proportions, and percents 23 語
Algebra 1
- Exponents and exponential functions 16 語
- Linear equations and inequalities 69 語
- Linear functions and graphs 56 語
- Polynomials and factoring 41 語
- Quadratic functions and equations 28 語
- Radical expressions 18 語
- Data and statistics 30 語
- Systems of equations and inequalities 18 語
Geometry
- Area and volume 45 語
- Circles 49 語
- Congruent triangles 35 語
- Coordinate geometry 10 語
- Foundations of geometry 41 語
- Parallel and perpendicular lines 16 語
- Quadrilaterals 13 語
- Reasoning and proof 46 語
- Relationships within triangles 10 語
- Right triangles and trigonometry 21 語
- Similarity 19 語
- Transformations 19 語
Algebra 2
- Exponential and logarithmic functions 25 語
- Functions and their graphs 33 語
- Polynomial functions 35 語
- Probability and statistics 51 語
- Quadratic functions and complex numbers 32 語
- Radical functions and rational exponents 11 語
- Rational functions 17 語
- Sequences and series 27 語
- Trigonometric functions 35 語
Precalculus
- Analytic trigonometry 25 語
- Conic sections 23 語
- Exponential and logarithmic functions 28 語
- Functions 24 語
- Introduction to calculus 16 語
- Systems and matrices 26 語
- Polar coordinates, complex numbers, and parametric equations 21 語
- Polynomial and rational functions 37 語
- Sequences, series, and induction 32 語
- Trigonometric functions 33 語
- Vectors 30 語
Integrated
Integrated Math 1
- Congruence and transformations 94 語
- Coordinate geometry 21 語
- Exponential functions 22 語
- Linear equations, inequalities, and functions 106 語
- Statistics 40 語
- Systems of equations and inequalities 19 語
Integrated Math 2
- Circles and solids 54 語
- Polynomials, radicals, and complex numbers 57 語
- Probability 36 語
- Quadratic functions and equations 39 語
- Similarity and right triangle trigonometry 43 語
Integrated Math 3
- Exponential and logarithmic functions 25 語
- Geometric modeling 15 語
- Statistics and inference 23 語
- Polynomial functions 33 語
- Rational and radical functions 34 語
- Trigonometric functions 34 語
AP
AP Calculus AB
- Unit 1: Limits and continuity 33 語
- Unit 2: Differentiation — definition and fundamental properties 33 語
- Unit 3: Differentiation — composite, implicit, and inverse functions 17 語
- Unit 4: Contextual applications of differentiation 10 語
- Unit 5: Analytical applications of differentiation 29 語
- Unit 6: Integration and accumulation of change 44 語
- Unit 7: Differential equations 7 語
- Unit 8: Applications of integration 17 語
AP Calculus BC
- Unit 10: Infinite sequences and series 36 語
- Units 6–8 (BC only): Integration by parts, partial fractions, improper integrals, Euler's method, logistic models, arc length 11 語
- Unit 9: Parametric equations, polar coordinates, and vector-valued functions 13 語
AP Statistics
- Unit 1: Exploring One-Variable Data and Collecting Data 51 語
- Unit 2: Probability, Random Variables, and Probability Distributions 34 語
- Unit 3: Inference for Categorical Data: Proportions 38 語
- Unit 4: Inference for Quantitative Data: Means 12 語
- Unit 5: Regression Analysis 15 語
大学初年次
Calculus I
- Applications of derivatives 46 語
- Applications of integration 23 語
- Derivatives 49 語
- Functions and graphs 17 語
- Integration 47 語
- Limits 32 語
Calculus II
- Applications of integration 18 語
- Introduction to differential equations 11 語
- Parametric equations and polar coordinates 23 語
- Power series 11 語
- Sequences and series 30 語
- Techniques of integration 19 語
Calculus III
- Multiple integration 11 語
- Differentiation of functions of several variables 14 語
- Vector calculus 12 語
- Vector-valued functions 8 語
- Vectors in space 48 語
Linear Algebra
- Determinants 6 語
- Eigenvalues and eigenvectors 12 語
- Linear transformations 8 語
- Orthogonality and least squares 13 語
- Systems of linear equations and matrices 27 語
- Vector spaces 13 語
Intro Statistics
- Confidence intervals 12 語
- Continuous random variables and the normal distribution 17 語
- Descriptive statistics 16 語
- Discrete random variables 10 語
- Hypothesis testing 15 語
- Probability topics 16 語
- Linear regression and correlation 17 語
- Sampling and data 13 語