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Acceptable performance in this unit will be the satisfactory achievement of the standards set out in this part of the unit specification. All sections of the statement of standards are mandatory and cannot be altered without reference to the Scottish Qualifications Authority.
OUTCOME 1
Use the Factor/Remainder Theorem and apply quadratic theory.
Performance criteria
a) Apply the Factor/Remainder Theorem to a polynomial function.
b) Determine the nature of the roots of a quadratic equation using the discriminant.
OUTCOME 2
Use basic integration.
Performance criteria
a) Integrate functions reducible to the sums of powers of x (definite and indefinite).
b) Find the area between a curve and the x-axis using integration.
c) Find the area between two curves using integration.
OUTCOME 3
Solve trigonometric equations and apply trigonometric formulae.
Performance criteria
a) Solve a trigonometric equation in a given interval.
b) Apply a trigonometric formula (addition formula) in the solution of a geometric problem.
c) Solve a trigonometric equation involving an addition formula in a given interval.
OUTCOME 4
Use the equation of the circle.
Performance criteria
a) Given the centre (a, b) and radius r, find the equation of the circle in the form (x-a)² + (y-b)² = r².
b) Find the radius and centre of a circle given the equation in the form x2 + y2 + 2gx + 2fy + c = 0.
c) Determine whether a given line is a tangent to a given circle.
d) Determine the equation of the tangent to a given circle given the point of contact.

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