Activity Set #4: Constructing a Conceptual Model

Start notebook reference page on: graphical anaylsis
 
 •How is a graph is related to a number
 •Graph Conventions and Axes
 •Proportions and Compensation => Constants

 Start notebook reference page on: average speed

average speed * elapsed time = distance traveled
  
 Think/Pair/Share
 •What happens if the increased distance is perfectly compensated by the increased speed?
 •What happens if the increased distance if perfeclty compensated by the increased time?
 •What did we actually observe and how would that change the relations for speed and time?
 
 Think/Pair/Share
 •What is the simplest function that bends over in the way that speed and time must bend over?
 •What would be the simplest predicition for the pattern for the period and speed if we increase the length of the string in the pattern 1,4, 9, 16, and 25?

Small group whiteboarding task: Visually organizing a system of relations.
Review the pendulum results and group all variables that are proportional to each other for a constant angle and local gravitational field. Draw a dotted circle about pairs of groups of varibles the increase together but not portionally.