Lessons for Topic 1.14
Modeling with functionsChoosing a function family and fitting its numbers so that one rule describes real data.Lesson
Where a model holds: domain, interpolation and extrapolationReading a value inside the range of the data is far safer than predicting one outside it.Lesson
Interpreting the numbers in a modelSaying what the starting value, the rate or the factor means in the units of the situation.Lesson
Building a model from a descriptionTurning a written account of a situation into a rule, with each quantity named and its units stated.Lesson
Piecewise functions in contextRules that change at a threshold, such as tax bands or shipping charges by weight.Lesson
Modeling with polynomial functionsFitting a polynomial to data that rises and falls more than once, such as the volume of a folded box.Lesson