Mathematics (Specification B)
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Pearson Edexcel IGCSE の学習者向けの無料Mathematics (Specification B)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。
Number
Number operations, factors and multiples
Indices, powers, roots and standard form
Surds and rationalising the denominator
Fractions, decimals, ratio, proportion and percentage
Accuracy, bounds, measures and money
Sets
Set language, notation and subsets
Union, intersection and complement
Number of elements and sets defined algebraically
Venn diagrams and simple logical problems
Algebra
Algebraic manipulation and formulae
Factorisation, factor theorem and algebraic division
Algebraic fractions
Linear, quadratic and cubic equations
Simultaneous equations
Linear and quadratic inequalities
Sequences
Functions, graphs and calculus
Functions, notation, domain and range
Composite and inverse functions
Variation, direct and indirect proportion
Cartesian co-ordinates and straight-line graphs
Curve graphs and graphical solution of equations
Gradients by drawing a tangent
Differentiation of integer powers of x
Stationary points, maxima, minima and kinematics
Vectors, matrices and transformations
Vectors and vector notation
Vector arithmetic, magnitude and resultants
Vector methods in geometry
Matrix arithmetic
Determinants and inverses of 2 x 2 matrices
Transformations of the plane
Matrix transformations and combinations
Geometry and mensuration
Angles, polygons and geometrical reasoning
Quadrilaterals and symmetry
Pythagoras' theorem in 2D and 3D
Similarity and congruence
Circle theorems and cyclic quadrilaterals
Loci and constructions
Area and volume of 2D and 3D shapes
Arc length and area of a sector
Trigonometry
Sine, cosine and tangent up to 180 degrees
Sine rule, cosine rule and area of a triangle
Trigonometry in three dimensions
Angles of elevation and depression, and bearings
Statistics and probability
Graphical representation of data
Mean, median and mode
Grouped data: estimated mean, modal class and median class
Language and basic concepts of probability
Addition and product rules; tree diagrams
Conditional probability and expected frequency
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