# 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 2P-Y

#### Numbers and algebra

The aims of the training are to enable the apprentice to
• calculate using powers and numbers in the standard form with positive and negative exponentials, and use this in practical contexts
• calculate using percentage and growth factor, perform successive interest calculations and calculate practical tasks with exponential growth

#### Statistics

The aims of the training are to enable the apprentice to
• make examples and simulations of random events and explain the concept of probability
• calculate probability by counting all favourable and all possible results based on tables and by systematising counts using cross tables, venn diagrams and the addition rule and the multiplication principle in practical contexts
• plan, carry out and assess statistical examinations
• calculate and elaborate on measures of central tendency and measures of spread
• calculate and give an account of cumulative and relative frequency, represent data in tables and graphs and discuss and elaborate on different data presentations and the impression they can give
• group data and calculate measures of central tendency for a grouped data material
• use spreadsheets for statistical calculations and presentations

#### Functions

The aims of the training are to enable the apprentice to
• elaborate on the concept of linear growth, demonstrate the progress of such growth and use this in practical examples, also by using digital aids
• convert between different representations of functions
• use digital aids to investigate combinations of polynomial functions, rational functions, exponential functions and power functions that describe practical situations by determining zero, minimum or maximum and gradient, average rate of change, and approximate values for instantaneous rates of change
• use functions to model and discuss and analyse practical relationships

#### Modelling

The aims of the training are to enable the apprentice to
• make measurements in practical experiments and formulate mathematical models based on the observed data
• analyse practical problems related to daily life, economy, statistics and geometry, find patterns and structures in different situations and describe relationships with help from mathematical models
• explore mathematical models, compare different models that describe the same practical situation, 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

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