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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 !!