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Equations & inequalities

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Equations & inequalities

Systems of linear equations Core HL 1D

Core HL 2C, 14H AA HL 2C, AA HL 3E Quadratic equations and inequalities

Exponential and logarithmic equation

Functions Domain, range, inverse of a function, composition

of functions

Core HL 15 Core HL 16 Core HL 1 Core HL 14 AA HL 2, AA HL 3 Transformations of functions

Linear functions Quadratic functions

Exponential and logarithmic functions

Sequences Arithmetic sequences: definition, n-th term, sum of

the first n terms

Core HL 5 Geometric sequences: definition, n-th term, sum of

the first n terms

Application of sequences, including modelling population growth and finances

Trigonometry Right angled trigonometry, including application to

3d shapes

Core HL 7, Core HL 9, Core HL 10 Sine and cosine rule

Applications, including bearings and angles of elevation/depression

Sets, Probability & Statistics Operations on sets: union, intersection, difference,

complement,

Core HL 2 Venn diagrams

Basic definitions, including independent events and mutually exclusive events

Core HL 11 Use of tables of outcomes, Venn diagrams and tree

diagrams to solve probability problems, Conditional probability

Measures of central tendency and measures of dispersion

Core HL 13

Bivariate statistics AA HL 26

Chi squared test for goodness of fit and for independence

AI SL 16 D, E Vectors and Matrices Basic operations on vectors, AA HL 12, AA HL 13 Dot product of two vectors, angle between vectors

Geometrical proofs using vectors

Operations on matrices, including finding inverse of a 2x2 matrix

AI HL 12 Applications of matrices to solving systems of

equations and linear transformations

AI HL 14

Cytaty

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