Mathematics subject curriculum (MAT1-03)

Competence aims after 1T - Education Programme for General Studies

Number and algebra

The aims of the training are to enable the apprentice to

• interpret, process and evaluate the mathematical content in various texts
• use mathematical methods and aids to solve problems from various subjects and other areas
• calculate with powers with rational exponents and numbers in standard form, algebraic expressions, formulas, expressions with brackets and alphanumeric rational and quadratic expressions, and use quadratic equations to factor algebraic expressions
• solve equations, inequalities and systems of equations of first and second order and simple equations with exponential and logarithmic functions, using paper and pencil and digital aids
• convert a practical problem into an equation, an inequality or a system of equations, solve it and evaluate the validity of the solution

Geometry

The aims of the training are to enable the apprentice to

• elaborate on the definitions of sine, cosine and tangent and use trigonometry to calculate length, angles and area of triangles
• use plane geometry to analyse and solve composite theoretical and practical problems regarding lengths, angles and areas

Probability

The aims of the training are to enable the apprentice to

• formulate, experiment with and discuss and elaborate on simple uniform and non-uniform probability models
• calculate probability using systematic representations, and use the addition rule and the multiplication rule
• use independent and conditional probability in simple situations
• compose binomial probability models based on practical examples, and calculate binomial probability using formulas and digital aids

Functions

The aims of the training are to enable the apprentice to

• elaborate on the function concept and draw graphs by analysing the function concept
• determine roots, intersections and average rate of change, find approximate values for instantaneous rates of change and provide some practical interpretations of these aspects
• 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
• compose and interpret functions that describe practical problems, analyse empirical functions and find expressions for an approximate linear function
• use digital aids to discuss and elaborate on polynomial functions, rational functions, exponential functions and power functions