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:
- Analyze functions of different types using multiple representations
- Determine and justify the selection of the function type to model a situation
- Compare and interpret functions in terms of the situation they model
- Construct models to represent situations and make predictions
In this session we will present FALs, tasks and problems for use in Algebra II and beyond 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. TESS: 1C, 1E, 2A, 2B, 2C, 3B, 3C, 4E