Study Guide

Objective

The student :
- is able to solve equations of first and second degree
- masters basic simplification of simple mathematical formulas and expressions.
- understands and is able to find linear relationships between two variables
- is able to solve systems of linear equations
- is familiar with the parabola and its equations
- knows how mathematical models 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
Quadratic equations
Rational equations
Parabola, Quadratic functions
Enequalities

Application according to specific education may occur.

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