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OUTCOME 1
Use the properties of the straight line.
Performance criteria
a) Determine the equation of a straight line given two points on the line or one point and the gradient.
b) Find the gradient of a straight line using m = tan θ.
c) Find the equation of a line parallel to and a line perpendicular to a given line.
OUTCOME 2
Associate functions and graphs.
Performance criteria
a) Sketch and identify related graphs and functions.
b) Identify exponential and logarithmic graphs.
c) Find composite functions of the form f(g(x)), given f(x) and g(x).
OUTCOME 3
Use basic differentiation.
Performance criteria
a) Differentiate a function reducible to a sum of powers of x.
b) Determine the gradient of a tangent to a curve by differentiation.
c) Determine the coordinates of the stationary points on a curve and justify their nature using differentiation.
OUTCOME 4
Design and interpret mathematical models of situations involving recurrence relations.
Performance criteria
a) Define and interpret a recurrence relation in the form un+1 = mun + c (m, c constants) in a mathematical model.
b) Find and interpret the limit of the sequence generated by a recurrence relation in a mathematical model (where the limit exists).
Home Tuition Scotland provides qualified S1, S2, National 4 Mathematics, National 5 Mathematics, Standard Grade Mathematics, Higher Mathematics, and Advanced Higher Mathematics tutors in your own home, at a price you can afford.
Teaching excellence since 1994, we can offer you the expert Mathematics tuition that you require.
Glasgow Mathematics lessons, Edinburgh Mathematics lessons, Dundee Mathematics lessons, Aberdeen Mathematics lessons...
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