Model periodic populations. Here, in the context of foxes and rabbits, pupils look at graphs of the populations of these animals in a national park over a span of 24 months. Groups analyze the graphs and determine trigonometric functions that could model the data. To finish, they find what points of the data are important to use in determining the parameters in their functions.
- Gather all of the function models and graph them on the same axes; let learners determine which one models the data best
- As a class, decide on the maximums and minimums for each of the populations
- Class members should know the relationship between a graph's properties and the parameters of a trigonometric function
- The key graphs the data and the function on the same axes to show how it fits
- Includes more realistic data that does not exactly fit the curve