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

 

Associative rules
Combining numbers cleverly

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You can often get advantages in cleverly joining or combining algorithms. You mark these combinations with parentheses and these will then be calculated first. When adding or multiplying, parentheses are enough but when subtracting and dividing the mathematical procedure has to be inverted. (Inversion: subtraction à addition; division à multiplication)

 

Examples:

1.      263 + 476 + 124
= 263 + (476 + 124)
= 263 + 600
= 863

2.      8 · 4 · 25
= 8 · (4 · 25)
= 8 · 100
= 800

3.      433 - 96 - 37
= 433 - (96 + 37)
= 433 - 133
= 300 

4.      42 : 2 : 3
= 42 : (2 · 3)
= 42 : 6
= 7

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02/09/07