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Repost from EBC (Ethiopian Broadcasting Corporation)
የ12ኛ ክፍል ሀገር አቀፍ ፈተና የሚሰጥበት ቀን ይፋ ሆነ
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የ2016 የትምህርት ዘመን የኢትዮጵያ ሁለተኛ ደረጃ ትምህርት ማጠናቀቂያ ወይም የ12ኛ ክፍል ሀገር አቀፍ ፈተና የሚሰጥበት ቀን ይፋ ሆኗል።
የ12ኛ ክፍል ሀገር አቀፍ ፈተና ከሐምሌ 3 እስከ 5 ለማህበራዊ ሳይንስ እንዲሁም ከሐምሌ 9 እስከ 11/2016 ዓ.ም ለተፈጥሮ ሳይንስ ተፈታኞች በበይነ መረብ (ኦን ላይን) እና በዩኒቨርሲቲ ውስጥ በወረቀት ይሰጣል።
በወረቀት ላይ የሚፈተኑ የማህበራዊ ሳይንስ ተፈታኞች ሰኔ 30 እና ሐምሌ 01/2016 ዓ.ም እንዲሁም የተፈጥሮ ሳይንስ ሐምሌ 6 እና 7/2016 ዓ.ም ወደ ዩኒቨርስቲ እንደሚገቡ ከትምህርት ምዘናና ፈተናዎች አገልግሎት ያገኘነው መረጃ ያመላክታል።
Repost from ESAT (ኢሳት🇪🇹)®
የ12ኛ ክፍል መልቀቂያ ፈተና በተመረጡ ከተሞች በኦንላይን ይሰጣል‼️
🗣ፕ/ር ብርሃኑ ነጋ
የ2016 ዓ.ም 12ኛ ክፍል መልቀቂያ ብሔራዊ ፈተና በተመረጡ ከተሞች በኦንላይን እንደሚሰጥ ትምህርት ሚኒስቴር አስታውቋል።
የትምህርት ሚኒስትሩ ፕ/ር ብርሃኑ ነጋ ፤ " ፈተናው ሙሉ በሙሉ በኦንላይን ለመስጠት ባይቻልም በክልሎች በተመረጡ ከተሞች ለመስጠት እየተሠራ ነው " ብለዋል።
" በሁሉም ክልሎች ያሉ የተመረጡ ተማሪዎች በኦንላይን ፈተናቸውን ይወስዳሉ " ሲሉ አሳውቀዋል።
ቀሪዎቹ ደግሞ በተለመደው አግባብ ፈተናቸውን እንደሚወስዱ ገልጸዋል።
የትምህርት ምዘናና ፈተናዎች አገልግሎት ዋና ዳይሬክተር ዶ/ር እሸቱ ከበደ በበኩላቸው ፤ ፈተናው በኦንላይን ለመሥጠት የሚያስችል የቅድመ ዝግጅት ሥራ እየተሠራ ነው ብለዋል።
ተማሪዎች በሙከራ ፈተና እንዲለማመዱ እንደሚደረግ ገልጸዋል።
የአሰልጣኞች ስልጠና በመስጠት ተማሪዎች ተደጋጋሚ ስልጠና እንደሚሰጣቸው አመልክተዋል።
ከቀጣይ ሳምንት ጀምሮ የአሰልጣኞች ስልጠና መስጠት ይጀመራል ብለዋል።
@Esat_tv1
@Esat_tv1
Repost from Ministry Of Education
አንድ 12ኛ ክፍል ተፈታኝ ተማሪ የግድ ሊያውቃቸው የሚገቡ የማትስ ፎርሙላዎች!!!
1. Pythagorean theorem: a² + b² = c²
2. Quadratic formula: x = (-b ± √(b² - 4ac)) / 2a
3. Distance formula: d = √((x₂ - x₁)² + (y₂ - y₁)²)
4. Slope-intercept form of a line: y = mx + b
5. Point-slope form of a line: y - y₁ = m(x - x₁)
6. Midpoint formula: ((x₁ + x₂)/2, (y₁ + y₂)/2)
7. Law of sines: a/sin A = b/sin B = c/sin C
8. Law of cosines: c² = a² + b² - 2ab cos C
9. Sum of angles in a triangle: A + B + C = 180°
10. Area of a triangle: A = (1/2)bh
11. Volume of a sphere: V = (4/3)πr³
12. Volume of a cylinder: V = πr²h
13. Volume of a cone: V = (1/3)πr²h
14. Surface area of a sphere: A = 4πr²
15. Surface area of a cylinder: A = 2πr² + 2πrh
16. Surface area of a cone: A = πr² + πrs, where s is the slant height
17. Binomial theorem: (a + b)ⁿ = Σ(n choose k)a^(n-k)b^k, where Σ is the sum from k=0 to n, and (n choose k) is the binomial coefficient
18. Fundamental theorem of calculus: ∫a^b f(x) dx = F(b) - F(a), where F is the antiderivative of f
19. Derivative of a constant: d/dx(c) = 0
20. Power rule for derivatives: d/dx(xⁿ) = nx^(n-1)
21. Product rule for derivatives: d/dx(fg) = f'g + fg'
22. Quotient rule for derivatives: d/dx(f/g) = (f'g - fg')/g²
23. Chain rule for derivatives: d/dx(f(g(x))) = f'(g(x))g'(x)
24. Mean value theorem: if f is continuous on [a,b] and differentiable on (a,b), then there exists c in (a,b) such that f'(c) = (f(b) - f(a))/(b-a)
25. Intermediate value theorem: if f is continuous on [a,b], then for any y between f(a) and f(b), there exists c in [a,b] such that f(c) = y
26. Rolle's theorem: if f is continuous on [a,b] and differentiable on (a,b), and if f(a) = f(b), then there exists c in (a,b) such that f'(c) = 0
27. Integration by substitution: ∫f(g(x))g'(x) dx = ∫f(u) du, where u = g(x)
28. Integration by parts: ∫u dv = uv - ∫v du
29. L'Hopital's rule: if lim(x → a) f(x)/g(x) = 0/0 or ∞/∞, then lim(x → a) f(x)/g(x) = lim(x → a) f'(x)/g'(x)
30. Taylor series: f(x) = Σ(n=0 to ∞) f^(n)(a)/n!(x-a)^n, where f^(n) is the nth derivative of f
31. Euler's formula: e^(ix) = cos(x) + i sin(x)
32. De Moivre's theorem: (cos x + i sin x)^n = cos(nx) + i sin(nx)
33. Fundamental trigonometric identities: sin² x + cos² x = 1, 1 + tan² x = sec² x, 1 + cot² x = csc² x
34. Double angle formulas: sin 2x = 2sin x cos x, cos 2x = cos² x - sin² x, tan 2x = (2tan x)/(1 - tan² x)
35. Half angle formulas: sin(x/2) = ±√((1 - cos x)/2), cos(x/2) = ±√((1 + cos x)/2), tan(x/2) = ±√((1 - cos x)/(1 + cos x))
36. Sum-to-product formulas: sin A + sin B = 2sin((A+B)/2)cos((A-B)/2), cos A + cos B = 2cos((A+B)/2)cos((A-B)/2), sin A - sin B = 2cos((A+B)/2)sin((A-B)/2), cos A - cos B = -2sin((A+B)/2)sin((A-B)/2)
37. Product-to-sum formulas: cos A cos B = (1/2)(cos(A-B) + cos(A+B)), sin A sin B = (1/2)(cos(A-B) - cos(A+B)), sin A cos B = (1/2)(sin(A+B) + sin(A-B)), cos A sin B = (1/2)(sin(A+B) - sin(A-B))
38. Hyperbolic functions: sinh x = (e^x - e^-x)/2, cosh x = (e^x + e^-x)/2, tanh x = sinh x/cosh x
39. Inverse trigonometric functions: arcsin x, arccos x, arctan x
40. Logarithmic identities: log(xy) = log x + log y, log(x/y) = log x - log y, log x^n = n log x
41. Exponential identities: e^x+y = e^x e^y, (e^x)^n = e^(nx), e^0 = 1
42. Binomial coefficients: (n choose k) = n!/(k!(n-k)!)
43. Pascal's triangle: each entry is the sum of the two entries above it
44. Fermat's little theorem: if p is a prime and a is not divisible by p, then a^(p-1) ≡ 1 (mod p)
45. Chinese remainder theorem: if m₁, m₂, ..., mₙ are pairwise coprime integers and a₁, a₂, ..., aₙ are any integers, then there exists an integer x that satisfies the system of congruences x ≡ a₁ (mod m₁), x ≡ a₂ (mod m₂), ..., x ≡ aₙ (mod mₙ)
ትምህርት ሚኒስቴር
ተጨማሪ ትምህርታዊ መረጃ ለማግኘት ቻናላችን ይቀላቀሉ ‼️
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https://t.me/Tmhrt_Minister
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