Unit one is primarily about the descriptive, not the quantitative. The purpose of this unit is to build on students’ prior understanding of a function from Algebra 1 and develop a deeper understanding of how two quantities are related, how rates of change are compared, how functions are notated and described, and the ways we compare functions. The unit studies features of different functions and how to represent these in a variety of different ways—verbal description, functions rule, table, and graph. Real-life examples can be used to build and interpret functions and reinforce the multiple representations of functions.
- What commonalities do functions within the same family have?
- What makes a particular function family unique from other types of functions?
- What do the key features of the graph of a function reveal about real world problems?
- What families of functions have inverse functions for all real numbers?