Maths curricula

class 8

Part 1 : That´s what the pupils should be able to do

already

A) Basics• Add numbers• Subtract numbers• Multiply numbers• Divide numbers

B) Chance measures• Lenghts• Weights• Times• Areas• Volumes

C) Prime numbers• Biggest common divisor• Least common multiply• Theorem of Erathostenes

D) Fractions• Add and subtract fractions• Multiply and divide fractions• Reduce fractions• Terms with fractions• Change fractions into decimals

E) Decimals• Basic arithmetics with decimals• Terms with decimals• Change decimals into fractions

F) Negative numbers• Basic arithmetics with negative

numbers• Tems with negative numbers

G) Terms• Summarize• Terms with brackets• Terms with using special mathematic

rules

H) Areas• Drawing, Constructing and

Calculating with

I) Fields• Draw cubes, cuboids, cylinders and

cones• Surface of cube and cuboid• Volume of cube and cuboid

J) Angles• Draw angles• Measure angles• Divide angles in half by construction• Copy angles by construction

K) Rectangles• Construct rectangles in different

ways• Incircle and circumcircle of

rectangles

L) Other constructions• reflection about an axis • dividing lines in several parts• perpendicular

Percentages• Solving mathematical problems by

using all three percentage formulas

proportions / antiproportions

• Solving mathematical problems by using the rule of three

• Solving mathematical problems by drawing

(Cartesian coordinate system)

Equations• Linear equations : • Examples :• 5x + 3 = 19• 7 * (x+4) = 56• 65 --------- = 5 x- 6• Solving problems by equations

Part 2• That´s what our children will have to

learn during the next two years :

circleArea and extent

tangent

Circle diagramm

Circular arc

Volumes and surfaces of fields with circles

• Volume and surface of cylinder• Volume and surface of cones• Volume and surface of spheres

Rotation, Shift and Dilation

Charging interests

Theorem of Pythagoras• square roots• nth-degree

Volume and surface oy pyramids

.. and of course : Repeat all topics from Part A !!