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External Evaluation of the European Baccalaureate (Annexes)

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• Expected value, variance and<br />

standard deviation <strong>of</strong> a<br />

Normal distribution<br />

• Normal curve and cumulative<br />

Normal curve<br />

• Standardised Normal<br />

distribution , use <strong>of</strong> tables<br />

• Normal approximation to <strong>the</strong><br />

binomial distribution given<br />

npq>9<br />

ALGEBRA • Arithmetic sequences and series,<br />

sum <strong>of</strong> finite arithmetic series<br />

• Geometric sequences and series,<br />

sum <strong>of</strong> finite and infinite geometric<br />

series<br />

• Sigma notation<br />

• Exponents and logarithms<br />

• Laws <strong>of</strong> exponents, laws <strong>of</strong><br />

logarithms<br />

• Change <strong>of</strong> base<br />

• Binomial expansion, expansion <strong>of</strong><br />

(a+b)ⁿ,<br />

CIRCULAR<br />

FUNCTIONS<br />

AND<br />

TRIGONO-<br />

METRY<br />

46<br />

• Approx 20 hours teaching time<br />

• Circles; radians, length <strong>of</strong> an arc,<br />

area <strong>of</strong> a sector<br />

• Definition <strong>of</strong> cos θ and sin θ,<br />

definition <strong>of</strong> tan θ<br />

• Definition <strong>of</strong> secθ, cscθ, cotθ<br />

• Pythagorean identities<br />

• Compound angle identities<br />

• Double angle identities<br />

• Circular functions sin x, cos x and tan<br />

x, domain and ranges, periodic<br />

nature, <strong>the</strong>ir graphs<br />

• Composite functions <strong>of</strong> <strong>the</strong> form<br />

f(x)= a sin((b(x +c)) + d<br />

• Inverse functions x|→ arcsin x and<br />

arccos x and arctan x, <strong>the</strong>ir domains<br />

and ranges, <strong>the</strong>ir graphs<br />

• Solution <strong>of</strong> trigonometric equations in<br />

a finite interval<br />

• Use <strong>of</strong> trigonometric identities and<br />

factorisation equations<br />

• Solution <strong>of</strong> triangles<br />

• Cosine rule<br />

• Sine rule area <strong>of</strong> triangle as ½ab sin<br />

C<br />

• Approx 22 hours teaching time<br />

MATRICES • Definition <strong>of</strong> a matrix, terms element,<br />

row, column and order<br />

• Algebra <strong>of</strong> matrices, equality ,<br />

addition, subtraction, multiplication by<br />

a scalar, multiplication <strong>of</strong> matrices<br />

• Identity and zero matrices<br />

• Determinant <strong>of</strong> square matrix<br />

• Inverse <strong>of</strong> matrix<br />

• Solution <strong>of</strong> system, <strong>of</strong> linear<br />

equations max 3 equation

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