20 Sketching graphs from pictures
We now consider transforming visual information about distances between points.
In the following exercises, you’ll be looking at how the movement of particles relates to their respective distances to fixed points.
Paths and particles
Some of these problems are quite challenging. The following Scratch code allows you to investigate some of the different paths traced by particles and how this changes the distance to A and B. Visit the project page and click “see inside”.
The video below gives an overview of how the code can be used.
Use the Scratch program and change the placement of the objects to replicate the scenarios from the paths and pathways activities. Are there any conjectures you can make about the types of paths that will be drawn?
Acknowledgement
The problems presented under the heading Paths and particles have been adapted from The Language of Functions and Graphs (1985) by Shell Center for Mathematical Education (this version modified by Deakin University and licensed under CC BY NC 4.0 with permission from Shell Centre for Mathematical Education)
