There are big ideas in the study of mathematics that connect Algebra I through Calculus. Student understanding of these ideas can be supported by the following progression:
1)Analyze functions of different types using multiple representations.
2)Determine and justify the selection of a function type to model a situation.
3)Compare and interpret functions in terms of the situation they model.
4)Construct models to represent situations and make predictions.
In this session we will present FALs, tasks, and problems for use in High School Mathematics to foster this progression. A few of the topics will be: Arithmetic and geometric sequences and their relation to linear and exponential functions; Exponential, logarithmic, and logistic relationships; Conic Sections; Rational Functions. All topics will be addressed from a conceptual point of view with a major emphasis placed on vertical alignment.