Learning outcomes

The student...

Numbers 15%

...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 (18%)

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

Quadratic equations and Functions (22%)

...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 (10%)

...simplifies expressions of logarithmic and exponential functions.

Differentiation (20%)

...knows the derivative of standard functions (power, rational, exponential, logarithmic, trigonometric).
...uses differentiation rules (sum, product, quotient, chain rule) to compute the derivative of a single function or of a product, quotient, sum, or composition of functions.