Unpacked Content
Knowledge
Students know:
- Distinguishing characteristics of functions,
- Conventions of function notation,
- Techniques for graphing functions,
- Techniques for determining the domain of a function from its context.
Skills
Students are able to:
- Accurately graph functions when given function notation.
- Accurately evaluate function equations given values in the domain.
- Interpret the domain from the context,
- Produce a graph of a function based on the context given.
Understanding
Students understand that:
- Functions are relationships between two variables that have a unique characteristic: that for each input there exists exactly one output.
- Function notation is useful to see the relationship between two variables when the unique output for each input relation is satisfied.
- Different contexts produce different domains and graphs.
- Function notation in itself may produce graph points which should not be in the graph as the domain is limited by the context.
Vocabulary
- Function
- Relation
- Mapping
- Domain
- Range
- Functional notation f(x)
- Element
- Input
- output
- Quantitative relationship
