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 !!