Mathematics S1
Algebra
The aims of the training are to enable the apprentice to- work with powers, formulae, brackets and rational and quadratic expressions with numerals and letters
- convert a practical problem into an equation, an inequality or a system of equations, solve it and assess the validity of the solution
- solve equations, inequality and systems of equations of the first and second degree, in longhand and by digital means
- calculate with logarithms and use them to simplify expressions and solve exponential equations and logarithmic equations
- use the concepts of implementation and equivalence in mathematical reasoning
Functions
The aims of the training are to enable the apprentice to- draw graphs of polynomial functions, exponential functions, power functions and rational functions with linear numerators and denominators with and without digital means
- create and interpret functions as models and describe practical problems in economics and social science, analyze empirical functions and use regression to find a polynomial approximation of a function, power function or exponential function
- determine zero points and intersection points between graphs, with and without digital means
- find the average growth rate for a function arithmetically, and find approximate values for momentary growth in practical applications
- give an account of the definition of the derivative, work out the derivative for polynomial functions and use this to discuss polynomial functions
Probability
The aims of the training are to enable the apprentice to- work with binomial coefficients and construct Pascal’s Triangle
- give an account of non-random selection with and without replacement and random selection without replacement, and carry out simple probability calculations linked to such selections
- create binomial and hypergeometric probability models from practical situations, and work out probabilities for such models
Linear optimization
The aims of the training are to enable the apprentice to- model practical optimization problems in economics using linear equations and incongruence
- give an account of the geometrical interpretation of the linear optimization problem in two variables
- solve linear optimization problems graphically, using longhand and digital means
Side 7 Av 9