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

 

Natural numbers
Natural numbers and their representation

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Aufzählung

Roman numbers

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Decimal system

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Other number systems

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Academic number spelling

Definition natural numbers:

The amount of natural numbers is indicated with . = {0,1,2,3,4,5,…}. These are sub classified again in

 

a)      even numbers

b)      uneven numbers

c)      indivisible/prime numbers

The even numbers are numbers that can be divided by 2 {2,4,6,8,10, …100, 102, 104…}. Uneven numbers (the rest) are those numbers that can not be divided by 2 {1,3,5,7,9,11,13, …101,103,105}. There are numbers under the uneven numbers that can only be divided by themselves or by 1. These are called indivisible numbers or prime numbers (2 also belongs to prime numbers) {2, 3, 5, 7,11,13,17, 19, 23, 29, 31, …}.

Another special case are the square numbers.

Square numbers are the results that come out when a number is multiplied by itself.

For example: 72 =49, spoken: 7 to the power of 2, 7 squared

 

n

0

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

16

17

18

19

20

25

0

1

4

9

16

25

36

49

64

81

100

121

144

169

196

225

256

289

324

361

400

625

 

 

Copyright © 2005 Christian Franzki - Emkacom Group
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02/09/07