The student...

Numbers 10%

- ...simplifies and calculates with fractions, powers, roots, and absolute values with (positive and negative) numbers.

Algebra 15%

- ...simplifies, factorizes, expands, and calculates expressions with variables (including fractions).

Linear formulas, equations and Systems of linear equations (10%)

- ...composes linear formulas.
- ...solves linear equations, or systems thereof, and inequalities.

Quadratic equations and Functions (10%)

- ...solves quadratic equations and equations with roots.
- ...identifies and finds (properties of) the graph of a standard function (e.g. parabola, square root, rational) from its function rule and vice versa.

Exponential functions and logarithms (5%)

- ...simplifies expressions of logarithmic and exponential functions.

Descriptive Statistics (10%)

- ...identifies qualitative and quantitative variables, and identifies and computes properties of a sample (range, measures of central tendency, and variability of a sample).

Probability (10%)

- ...calculates probabilities of events, including their union, intersection and complement, and conditional probability, from a given sample space (using formulas and contingency tables).

Combinatorics (10%)

- ...uses counting principles to calculate the number of possible outcomes of an experiment.

Random Variables (10%)

- ...identifies discrete and continuous random variables and computes probabilities of events and expected values of given probability distributions.

Common probability distributions (10%)

- ...computes probabilities of events in the context of common probability distributions (binomial and normal).