CURRICULUM FOR THE COMMON CORE SUBJECT OF MATHEMATICS 2T-Y AND 2P-Y, VG3 SUPPLEMENTARY STUDIES QUALIFYING FOR HIGHER EDUCATION - VOCATIONAL EDUCATION PROGRAMME (MAT6-02)

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Competence aims after 2T-Y

Numbers and algebra

The aims of the training are to enable the apprentice to
  • reformulate expressions and solve equations, inequalities and systems of equations of the first and second order and simple equations with exponential and logarithmic functions, using algebra and digital aids

Geometry

The aims of the training are to enable the apprentice to
  • elaborate on the geometric picture of vectors as arrows in a plane, and calculate sums, differences and scalar products of vectors and the product of numbers and vectors
  • calculate with plane vectors written in coordinate form, calculate lengths, distances and angles using vector arithmetic and determine when two vectors are parallel or orthogonal
  • draw and describe curves in parametric form and calculate intersection points between such curves

Combinatorics and probability

The aims of the training are to enable the apprentice to
  • give an account of and use the concepts of independent and conditional probability and apply Bayes' theorem to two events, and evaluate and interpret the results
  • calculate with binomic and hypergeometric probability, recognising and modelling such spreads in different situations
  • calculate probability in the event of ordered sampling with and without repetition, and in the event of non-ordered sampling without repetition

Functions

The aims of the training are to enable the apprentice to
  • elaborate on the definition of the derivative, use the definition to deduce a rule for the derivative of polynomial functions and use this rule to discuss functions

Culture and modelling

The aims of the training are to enable the apprentice to
  • analyse theoretical and practical problems, find patterns and structures in different situations and describe relationships with help from mathematical models
  • explore mathematical models, compare different models, evaluate the kinds of information the models can provide and what areas of validity and limitations they have
  • use digital tools for exploration, model building and presentations
  • find, evaluate and present examples from the multicultural history of mathematics and discuss and elaborate on the importance of mathematics for natural science, technology, societal life and culture

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