5th grade
Natural numbers
Basic arithmetic operations
Calculation laws and advantages
Geometry

6th grade
Divisibility of numbers
Factions
Decimal fractions
Angles and angle measures

7th grade
Assignment and rule of three
Calculation of percentage
Rational numbers
Equation and inequation
Probability calculus

8th grade
Function and assignment
Triangles
Quadrangles
Calculation of surfaces
Transformation of terms
Probability calculus

9th grade
The root
Record set of the pythagoras

10th grade
Circle calculation
The cone
Power calculation
Power laws
Exponential function
Logarithm
Trigonometry
Probability calculus

 

Equation and inequation
Definition of specific terms
 

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In an equation and inequation there are always unknown numbers that we have to figure out. What we can insert for this unknown number is defined by the base quantity G.

For example, G = , which means that for every x, y, z (or for every other letter) natural numbers can be inserted.

In the inequation, different signs appear: bigger, smaller, bigger or equal to, smaller or equal to. For more information please look for the title “Bigger or Smaller” in “Fifth grade”.

To find the solution of an equation or inequation, we have to look for numbers that we can insert in the place of the variable so we become a product.

Example:

5 + (3 ∙ x) = 23

L  (L means solution set quantity) = {6}

x – (24 : 3) > 2

L = {11, 12, 13, …}

There is the possibility to change equations or inequations by simplifying them without changing the solution set quantity. This means that the solutions stays the same. That is how many equations and inequations can be calculated. These changes are called equivalence changes. There are differences between equations and inequations.

 

 

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02/09/07