Study Guide

Objective

The students have knowledge about the most common functions and equations.
and know basic mathematical models that can be applied in problem solving.

Content

Fractions
Powers
Polynomials
Rational expressions
Square roots, general roots
First degree equations
Linear functions, Straight lines
Systems of equations

Evaluation scale

H-5

Assessment criteria, satisfactory (1)

The student masters basic simplification of simple mathematical formulas and expressions.
Can solve simple equations of the first and second degree.
Can solve simple linear equation systems
Have a basic understanding of elementary functions (linear, polynomial and rational functions)
Can solve quantities from simple formulas
Have some understanding of how to use a mathematical model and how it can be solved

Assessment criteria, good (3)

The student masters the simplification of mathematical formulas and expressions.
Can solve slightly more demanding equations and equation systems.
Have a good understanding of basic functions and linear relationships
Can redeem quantities from more demanding formulas.
Have a good understanding of how to use a mathematical model and how it can be solved.

Assessment criteria, excellent (5)

The student masters demanding simplifications of mathematical formulas and expressions.
Can solve more challenging equations and equation systems.
Has excellent understanding of elementary functions and linear relationships
Can extract quantities from a system of formulas.
Can apply mathematical models to various technical problems.

Qualifications

none