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

 

Bigger and smaller
 

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There are numbers which are bigger or smaller than others. To recognize if the number is bigger or smaller than another doesn’t come easily to everyone. You can take a number line to help you. The small numbers stand left and the big ones stand right.

Example: Which number is bigger: 11 or 21? 

Obviously! The 11 lies much farther to the left in comparison to 21. Then, you either say 11 is smaller than 21 or 21 is bigger than 11. This is how it is written.

 

11 < 21          orally: eleven is smaller than twenty one

21 > 11          orally: twenty one is bigger than eleven

There are also cases in which in area is described which is bigger than a number or bigger and equal to the number.

Example: A father sends his son to buy groceries. He’s supposed to buy bread (which is indicated by a B in our text), but the father only knows that the bread is more expensive than $2.00 and will not be more than $5.00:

B > $ 2.00                             B is bigger than 2

B < $ 5.00                             B is smaller than 5

You can also write it in one line. The smallest number is left, the biggest is right:

$ 2.00 < B < $ 5.00              2 is smaller than B is smaller than 5.

 

Second example: his father knows how much the bread will cost this time. It costs $ 3.00. He sends his son to buy bread again but this time he’s supposed to return ham too. The son will need at least $ 3.00 to pay for everything. This is how it is written when we take P as the price he will have to pay:

 

P = $ 3.00                 P equals 3

P > $ 3.00                 P is bigger than 3

There is a sign for smaller or bigger equal:  

P  $ 3.00                P is at least 3/P is bigger equal to 3

$ 3.00  P                3 is the smallest possible for P

 

When everything together costs $6.00 at the most, it will look like this:

P  $ 6.00                P at the most is $ 6.00/P is smaller equal $ 6.00

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02/09/07