© Copyright 2005
Functions & Calculus
PROBABILITY & Statistics and Misc.
MIDDLE SCHOOL PROGRAMS
|
The linear function |
The quadratic function |
|
Find the rule - root, abs, reciprocal
function |
|
|
Gradient of basic function types |
Optimisation - selling raffles tickets;
chart, graph |
|
Optimisation - box; by chart and by graph |
Optimisation - sheep pen; by chart and by
graph |
|
Function of function |
|
|
Inverse function exercise |
Absolute value functions |
|
Functions and their reciprocals |
Rational functions |
|
Limits, continuity, differentiability at a
point |
Relationship between gradients of f and f-1 |
|
Trig graphs from unit circle |
Trig graphs - sin, cos, tan, cosec, sec &
cot |
|
Guess the rule |
Trig graphs - sin, cos, tan, cosec, sec &
cot |
|
Trig limits |
Trig derivatives |
|
Simple harmonic motion |
|
|
Maximum area; rates of change of area &
side. |
Minimum distance; rate of separation. |
|
Minimum time - row then walk. Input speeds. |
Maximum volume of cylinder in sphere; rate of
change of volume against height. |
|
|
Area of the reciprocal function |
|
Volume |
Parametric (linear) functions - collisions
& minimum distance |
|
Parametric functions |
Minimum distance - lighthouse; closest point |
|
Parametric functions using trigonometric
coefficients. |
Vector calculus |
|
Cartesian to polar graphs |
Polar graphs |
Integration and area.
Probability & Statistics and Misc. MIDDLE SCHOOL PROGRAMS
|
Normal approximation to Binomial |
Normal approximation to Poisson |
|
Comparison of Binomial and Poisson
distributions |
Probability simulation - 2 coins |
|
Probability simulation - 3 child family |
Probability simulation - 2 dice |
|
Probability - cards; with help screens |
Probability - dice; with help screens |
|
|
|
|
Two way
tables |
Probability - two way tables |
|
Venn diagrams |
Probability - Venn diagrams |
|
|
|
|
Change of scale and origin |
Mean, median & mode |
|
|
Estimate correlation coefficient r |
|
Transformations - reflections, translations,
rotations and exercises. |
|
|
Positive and negative integers - using +, -
and x. |
Comparing simple and compound interest. |
|
Ordered pairs |
Area of a circle |
AUSTRALIAN
MATHS SOFTWARE
Email : margaretdenham@iinet.net.au Top of the Document