Unpacked Content
Knowledge
Students know:
- Techniques for expressing functional relationships (explicit expression, a recursive process, or steps for calculation) between two quantities.
- Techniques to combine functions using arithmetic operations.
- Techniques to compose functions using algebraic operations.
- Notation for function composition.
Skills
Students are able to:
- Accurately develop a model that shows the functional relationship between two quantities.
- Accurately create a new function through arithmetic operations of other functions.
- Accurately create a new function through composition of other functions.
- When functions are combined to create a new function, present an argument to show how the function models the relationship between the quantities.
Understanding
Students understand that:
- Relationships can be modeled by several methods (e.g., explicit expression or recursive process).
- Arithmetic combinations and/or composition of functions may be used to improve the fit of a model.
Vocabulary
- Explicit expression
- Recursive process
- Compose functions
