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Aitchison College Academic Resources.
2 Algebra and graphs (continued)
—2.8 Proportion
Express direct and inverse proportion in algebraic
terms and use this form of expression to find
unknawn quantities,
E£2.9 Graphs in practical situations
1 Use and interpret graphs in practical situations
induding travel graphs and conversion graphs,
2 Draw graphs from given data,
3 Apply the idea of rate of change to simple
Kinematics involving distance-time and
speed-time graphs, acceleration and
deceleration.
4 Cakulate distance travelled as area under a
speed-time graph.
£210 Graphs of functions
Construct tables of values, and draw, recognise
and interpret graphs for functions of the following
forms:
* ax" (includes sums of no more than three of
these)
° abb+e
where n =~2,-1, -$,0, 4, 1,2, 3;aandcare
rational numbers; and b is a positive integer.
2 Solve associated equations graphically, induding
finding and interpreting roots by graphical
methods.
3 Draw and interpret graphs representing
exponential growth and decay problems.
=
Notes and examples
Includes linear, square, square root, cube and cube
root proportion,
Knowledge of proportional symbol (sc) is required,
Notes and examples
Includes estimation and interpretation of the
gradient of a tangent at a point,
Areas will involve linear sections of the graph only.
Notes and examples
Exampies include:
oe yexrtx-4
. yore
© yatx2%
@Q. finding the intersaction of a line and a curve,
30