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External Evaluation of the European Baccalaureate (Annexes)

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TRIGONO-<br />

METRY<br />

56<br />

• Complete <strong>the</strong> square for a quadratic<br />

polynomial<br />

• Find <strong>the</strong> discriminate <strong>of</strong> a quadratic<br />

polynomial<br />

• Solve quadratic equations and linear and<br />

quadratic inequalities<br />

• Solve by substitution a pair <strong>of</strong><br />

simultaneous equations – one linear, one<br />

quadratic<br />

• Recognise and solve equations in which<br />

x which are quadratic in some function <strong>of</strong><br />

x<br />

• Find <strong>the</strong> length, gradient and mid point <strong>of</strong><br />

a line segment<br />

• Find <strong>the</strong> equation <strong>of</strong> a straight line<br />

• Understand and use <strong>the</strong> relationships<br />

between <strong>the</strong> gradients <strong>of</strong> parallel and<br />

perpendicular lines<br />

• Interpret and use linear equations<br />

• Understand <strong>the</strong> equation (x – a ) + (y-b) =<br />

r represents a circle<br />

• Use algebraic methods to solve problems<br />

involving lines and circles<br />

• Understand <strong>the</strong> relationship between a<br />

graph and its associated equation, use<br />

points <strong>of</strong> intersection to solve equations<br />

• Sketch curves <strong>of</strong> form y = kxⁿ, y = k√x<br />

quadratics and y=f(x) where f(x) is <strong>the</strong><br />

product <strong>of</strong> at most 3 linear factors<br />

C2<br />

• Use <strong>the</strong> factor <strong>the</strong>orem and <strong>the</strong><br />

remainder <strong>the</strong>orem<br />

• Carry out simple algebraic division<br />

• Sketch graph <strong>of</strong> y=a ⁿ<br />

• Understand <strong>the</strong> relationship between logs<br />

and indices<br />

• Use logs to solve equations <strong>of</strong> <strong>the</strong> form<br />

aⁿ = b<br />

C4<br />

• Simplify rational expressions, including<br />

factorising and cancelling<br />

• Divide a polynomial <strong>of</strong> degree not<br />

exceeding 4<br />

• Recall an appropriate for expressing<br />

rational functions n partial fractions<br />

• Use <strong>the</strong> expansion <strong>of</strong> (1 +x)ⁿ where n is<br />

rational and |x|

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