CURRICULUM FOR THE COMMON CORE SUBJECT OF MATHEMATICS (MAT1-04)

Competence aims after 1P – Vg1 education programmes for general studies

Numbers and algebra in practice

The aims of the training are to enable the apprentice to

• make estimates of answers, calculate with practical tasks, with and without technical aids, and assess how reasonable the results are
• interpret, process, assess and discuss the mathematical content of written, oral and graphic presentations
• simplify polynomial expressions, solve equations of the first order and simple quadratic equations
• interpret and use formulas that apply to day-to-day life and working life
• calculate with proportions, percentages, percentage points and growth factors
• deal with proportional and inversely proportional magnitudes in practical contexts

Geometry

The aims of the training are to enable the apprentice to

• use and provide rationale for congruence, scales and the Pythagorean theorem for calculations and in practical work
• solve practical problems involving length, angle, area and volume
• do calculations using different measurement units and measuring tools, and analyse the precision of measurement accuracy and assess how uncertain the measurement are
• interpret, make and use sketches and working drawings for problems from cultural and working life, and present these and provide rationale for one’s chosen solutions

Probability

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

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
• examine functions that describe practical situations, by determining the intersection, zero, minimum or maximum and gradient, and interpret the practical value of the results

Economics

The aims of the training are to enable the apprentice to

• explain and calculate using price indices, currency values, real wages and nominal wages, and calculate income, taxes and charges
• evaluate consumption, use of credit cards and set up a budget and accounts using a spreadsheet
• investigate and evaluate different forms of loans and savings