Mathematics subject curriculum (MAT1-03)

Competence aims after 1P - Education Programme for General Studies

Number and algebra

The aims of the training are to enable the apprentice to

• estimate answers, calculate practical tasks, with and without technical aids, and evaluate how reasonable the results are
• interpret, process, evaluate and discuss the mathematical content of written, oral and graphic presentations
• interpret and use formulas that apply to everyday life, working life and the education programme area
• 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 similarity, scale and the Pythagorean theorem in calculations and practical work
• solve practical problems involving length, angle, area and volume
• calculate using different measurement units, use different measuring tools and evaluate measurement accuracy
• interpret and prepare working drawings, maps, sketches and perspective drawings related to working life, art and architecture

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 the number of favourable and the number of possible outcomes using tables, by systematising counts and by using the addition rule and the multiplication rule in practical contexts

Functions

The aims of the training are to enable the apprentice to

• examine functions that describe practical situations, by determining the intersections, zeros, extremes and gradient, and interpret the practical value of the results
• convert between different representations of functions
• elaborate on the concept of linear growth, demonstrate the progress of such growth and use this in practical examples, also by using digital aids

Economics

The aims of the training are to enable the apprentice to

• calculate using price indexes, currencies, real wages and nominal wages
• calculate wages, and compose budgets and accounts using various tools
• calculate taxes
• examine and evaluate consumption and various terms for loans and savings using web-based consumer calculators