There are big ideas in the study of mathematics that connect Algebra I and Geometry. 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 a 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. *Use transformations to demonstrate geometric properties.*Connect geometric descriptions and relationships to algebraic justifications, including coordinate geometry. *Use trigonometric ratios and the Pythagorean theorem to solve problems.
In this session we will present FALs, tasks and problems for use in Early High School to foster this progression. A few of the topics will be: Arithmetic and geometric sequences and their relation to linear and exponential functions; quadratics, transformations, right triangle trigonometry. All topics will be addressed from a conceptual point of view with a major emphasis placed on vertical alignment.