Investigating+Functions

This sequence is being developed as a resource for the Mathematics/Mathematics Extension 1 topic "4. Real Functions and their geometric representation"

//Teacher notes : Time pressure during for the Prelim/HSC course is at a premium. We have to get maximum value out of each session - the lesson outcome has to substantially support and substitute for regular lessons.//


 * Session#1 Explore a real world problem through making a mathematical model.**
 * Activity: The Death of Mr Potato ( equipment : one dead potato + thermometer per group ).
 * Activity: The Lolly Box problem ( equipment : around 30 jelly babies per group, A4 cardboard sheets cut in 1/4, scissors, tape ).


 * Session#2 Exploring Variables, Functions and Graphs**
 * Exposition: The idea of a variable. Dependent and independent variables, Functions as a relationship between variables.
 * Activity: Matching graphs to stories.


 * Session#3 Developing ideas of Function**
 * Exposition: Mathematical Modelling, use of f(x) terminology, domain and range.
 * Practice: Use of f(x) notation, finding natural domain for functions.
 * Video: Meat-a-Morphosis.
 * Activity: Explore ln function using a calculator.


 * Session#4 The Function Zoo**


 * Session#5 Transformations**