Mathematics
5セクション · 40チャプター
IB Middle Years Programme (MYP) の学習者向けの無料Mathematics学習ノート。各章のリンクから、要点・例題・練習問題への導線にアクセスできます。
Numerical and abstract reasoning
Forms of Numbers and Number Systems
Prime Numbers, Factors and Multiples
The Four Operations, Integers and Number Lines
Fractions, Decimals and Percentages
Ratio, Proportion and Rates
Estimation, Units of Measurement and Accuracy
Integer Exponents, Roots and Standard Form
Sets and Venn Diagrams
Fractional Exponents, Logarithms and Number Bases (Extended)
Thinking with models
Algebraic Expressions, Substitution and Rearranging
Factorization and Algebraic Fractions
Linear Equations and Inequalities
Simultaneous Equations
Quadratic Expressions and Equations
Linear Functions and Graphs
Functions: Types, Domain, Range and Transformations
Patterns, Sequences and Algorithms
Non-linear Graphs, Logarithmic Equations and Series (Extended)
Spatial reasoning
Geometrical Elements, Angles and Distance
Triangle Properties and Pythagoras' Theorem
Perimeter, Area, Volume and Surface Area
The Cartesian Plane and Coordinate Geometry
Circle Geometry
Transformations and Symmetry
Trigonometric Ratios in Right-Angled Triangles
Similarity, Congruence and Three-Dimensional Coordinate Geometry (Extended)
Sine and Cosine Rules, Angle Measures, the Unit Circle and Vectors (Extended)
Reasoning with data
Data Collection, Population Sampling and Representation
Graphical Analysis and Interpretation of Data
Measures of Central Tendency and Dispersion
Cumulative Frequency and Box Plots
Probability of an Event
Theoretical and Experimental Probability
Independent, Mutually Exclusive, Combined and Successive Events
Standard Deviation and Conditional Probability (Extended)
Investigating patterns, modelling and communication
Investigating Patterns: Selecting Techniques and Describing Rules
Verifying and Justifying General Rules
Mathematical Modelling in Real-Life Contexts
Validity, Degree of Accuracy and Reflecting on Results
Communicating Mathematics: Notation, Representation and Reasoning
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