In the following GeoGebra application there are three groups of figures. You will be assigned a group accordin then secretly chose a figure on which to base your written problem. The assignment of groups are as follows: Group 1: January-April Group 2: May-August Group 3: September-December. Below is a list of constraints on the problem context, and some suggestions for how to write a good and solvable problem. Problem Requirements: 1) You must specifically require that the solver determines an equation relating the rates of change of the colored quantities. A) For instance, the right-most triangle in Group 1 would require that the solver determine an equation that relates the rates of change of all three side lengths. The other triangle in Group 1, however, would require the solver to determine an equation relating the rate of change of the hypotenuse length with the rate of change of the angle measure created by the two black triangle legs. Note that you, as the writer, can incorporate the other non-colored quantities as well, but your rate of change equation must relate colored quantities' rates. 2) Your problem should be stated in a physical context that does not refer to the geometry of the figure itself. A) For instance, you may not write a problem saying "Two legs of a triangle have a fixed length and rotate around each other. The legs rotate at a speed of how quickly is the hypotenuse changing?" 3) You should give enough information to make the problem solvable and should require your peers to use the values and rates of the other variables identified in the figure. A) Feel free to be creative with your physical context! Examples are given after the GeoGebra app. 4) Your prompt, figures, and given solution does not need to incorporate dynamic images nor clean computer-generated graphs, but neatly